Answer:
Let's start by assigning a variable to the original side length of the square photograph. We'll use g to represent this length.
According to the problem, each side of the new photograph will be 1 inch more than twice the original side length g. This means that the new side length will be:
2g + 1
Since this is a square photograph, all four sides are equal in length. Therefore, the area of the new photograph can be represented by the square of the new side length:
(2g + 1)^2
To simplify this expression, we can use FOIL (First, Outer, Inner, Last) to expand the squared binomial:
(2g + 1)^2 = (2g + 1)(2g + 1)
= 4g^2 + 2g + 2g + 1
= 4g^2 + 4g + 1
So the trinomial that represents the area of the enlarged photograph is:
4g^2 + 4g + 1
To check our work, we can plug in a value for g and compare the areas of the original and enlarged photographs. For example, if g = 2 (meaning the original side length is 2 inches), then the area of the original photograph is:
2^2 = 4 square inches
And the area of the enlarged photograph is:
4(2)^2 + 4(2) + 1 = 25 square inches
This makes sense, since the new photograph has sides of length 2(2) + 1 = 5 inches, and therefore an area of 5^2 = 25 square inches, which is indeed 1 inch more than twice the original area of 4 square inches.
Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.
(-1,9)
(0.-2)
(4,7)
The coordinates of the fourth vertex of the parallelogram are given as follows:
(-5,0).
How to obtain the coordinates of the fourth vertex?To find the coordinates of the fourth vertex of the parallelogram, we need to use the fact that opposite sides of a parallelogram are parallel and equal in length. We can use the given three vertices and their coordinates to find the vector representing one of the sides of the parallelogram, and then use this vector to find the fourth vertex.
For the fourth vertex, we have that:
It is 5 units left of (0, -2), as 4 - (-1) = 5, hence the x-coordinate is of 5.It is 2 coordinates above of (0,-2), as 9 - 7 = 2, hence the y-coordinate is of 0.Hence the coordinates of the vertex are of:
(-5,0).
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DETAILS , LARPCALCL the equation of the circle in standard forn 9x^(2)+9y^(2)+36x-72y+11=0
(x + 2)2 + (y - 4)2 - 11 = 0
The equation of the circle in standard form is x2 + y2 + 36x - 72y + 11 = 0. To arrive at this answer, you need to complete the square for both the x and y terms in the equation. First, divide the equation by 9 to get the following:
x2 + y2 + 4x - 8y + 1 = 0
To complete the square for the x terms, add and subtract (4/2)2 = 16/4 = 4 to the equation:
x2 + 4 + y2 + 4x - 8y + 1 - 4 = -4
Simplifying gives you:
(x + 2)2 + y2 - 8y + 5 = 0
To complete the square for the y terms, add and subtract (8/2)2 = 64/4 = 16 to the equation:
(x + 2)2 + (y - 4)2 + 5 - 16 = -11
Simplifying gives you:
(x + 2)2 + (y - 4)2 - 11 = 0
This is the equation in standard form.
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Okay, I really need help, it’s a cooking need of help so I was making pasta, and I used a smaller top on a big pot (I know, I know..) and now it won’t come off, I’ve tried banging it around the edges, I put cold water on it, and I used dish soap to pry it open, nothing. I am not putting it in the freezer for it to cool off. Please help me!
Answer:
Dry your hands from the soap and try twisting the lid of the pan. This will cause it to start to turn. If you put it in the freezer it will be harder to take it off. My guess is by twisting the lid, you would be able to cause enough friction to take the lid off.
Step-by-step explanation:
If this doesn't work try tilting the lid and then lifting it
Answer:
Try soaking it in hot water. The pot only if possible. The top is smaller and if the pan expands it should loosen up
Please Show detailed algebraic work.
As a result, it takes around 0.25 minutes for the oven to reach 300°F, or equation roughly 15 seconds. Rounded to the closest minute, the answer is 0 minutes.
What is equation?A math equation is a mechanism for connecting statements and indicating equivalence with both the equals symbol (=). An equation is an algebraic claim that asserts the equivalency of two formulae in algebra. In the calculation 3x + 5 = 14, for example, the equivalence sign separates the numbers 3x + 5 and 14. To explain the relationship among the two words on each surface of a letter, a formula can really be employed. The software and the logo are usually interchangeable. For instance, 2x - 4 equals 2.
Set T = 300 in the equation and solve for t to discover the number of minutes it takes for the oven's temperature to reach 300°F:
T = 400 - It
300 = 400 - It / subtraction T = 300
It = 400 - 300
It = 100
t = 100 / I
T = 400 minus It I = (400 minus T) / t
When we substitute T = 0 and T = 1, we get:
I = (400 - 0) / 1\sI = 400
Now we can substitute I = 400 into the equation we found before for t:
t = 100 / I\st = 100 / 400\st = 0.25
As a result, it takes around 0.25 minutes for the oven to reach 300°F, or roughly 15 seconds. Rounded to the closest minute, the answer is 0 minutes.
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Georg Cantor Accounting purchased a new computer system for $3,500. The total
resale value after 5 years is estimated to be $525. Using the straight-line method,
Cantor Accounting determined that the computer system would depreciate $595
per year. Use the table above to determine the book value at the end of the third
year.
Possible answers.
(A) $1,690
(B) $1,715
(C) $1,865
(D) $1,940
The book value at the end of the third year is (A) $1,690.
What is depreciation?The depreciation of an asset is the difference between the cost of the asset and the estimated resale value at the end of its useful life.
The straight-line method of depreciation is used to calculate the annual depreciation of an asset.
In this case, the computer system cost $3,500 and was estimated to have a resale value of $525 after five years.
This means that the computer system will depreciate $595 each year.
To calculate the book value at the end of the third year, subtract the depreciation for the first three years from the cost of the asset:
Cost of Computer System: $3,500
Annual Depreciation: -$595
Book Value at End of 3rd Year= $3,500 - ($595 x 3) = $1,690
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According to the data given in the question, the book value at the end of the third year is (A) $1,690.
What is depreciation?The depreciation of an asset is the difference between the cost of the asset and the estimated resale value at the end of its useful life.
The straight-line method of depreciation is used to calculate the annual depreciation of an asset.
In this case,
the computer system cost= $3,500
estimated resale value after five years= $525
depreciation of the computer system each year= $595
To calculate the book value at the end of the third year, subtract the depreciation for the first three years from the cost of the asset:
Cost of Computer System: $3,500
Annual Depreciation: $595
Book Value at End of 3rd Year
= $3,500 - ($595 x 3)
= $1,690
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Construct a triangle with the given side lengths. The lines are 5.1, 5.1, and 7.37 centimeters.
Find the distance, c, between (3, –4) and (–7, 1) on the coordinate plane. Round to the nearest tenth if necessary.
Answer:
c ≈ 11.2
Step-by-step explanation:
Using the distance formula, we have:
c = √[(x2 - x1)² + (y2 - y1)²]
c = √[(-7 - 3)² + (1 - (-4))²]
c = √[(-10)² + 5²]
c = √(100 + 25)
c = √125
c ≈ 11.2
Therefore, the distance between the two points is approximately 11.2 units.
[tex]\sqrt{(-7-3)^{2} + (1-(-4))^{2} } = \sqrt{(-10)^{2} + (5)^{2} } = \sqrt{100 + 25} \\[/tex]
[tex]= \sqrt{125} = 5\sqrt{5} =11.2[/tex]
Brainliest would be rewarded+100 points!!!
I need this answered fast because I'm on a time limit!!!
Answer:
Add to eliminate X
Step-by-step explanation:
To eliminate a variable, we need to make its coefficient equal and opposite in the two equations. In this case, we can see that the coefficient of x in both equations is the same (6x), so we can eliminate x by adding the two equations.
When we add the two equations, the x term will cancel out, leaving us with the equation:
9y = 36
We can then solve for y by dividing both sides by 9:
y = 4
Now that we know the value of y, we can substitute it back into one of the original equations to solve for x. Let's use the first equation:
6x + 5y = 12
6x + 5(4) = 12
6x + 20 = 12
6x = -8
x = -4/3
Therefore, the solution to the system of equations is x = -4/3, y = 4.
Leandro wants to build a one-sample z interval with 98% confidence to estimate the proportion of light
bulbs that arrive broken upon shipment to his store. He takes a random sample of 500 bulbs and finds that
25 arrived broken.
What critical value z* should Leandro use to construct this confidence interval?
The critical value for the confidence interval will be 2.33 with a confidence inetrval of 0.05 ± 0.00308
Here we see that the probability to find a bulb from the sample broken is
p = 25/500
= 0.05
Now, we need to build a 98% confidence interval so we will get the critical value to be
(1 - confidence interval)/2
= (1 - 0.98)/2
= 0.02/2
= 0.01
Looking up the value for 0.01 in the standard normal table we the critical value to be
2.33
Now the confidence interval will be
p ± critical value X √[p(1 - p)/n]
= 0.05 ± 0.01√[(0.5 X 0.95)/500]
= 0.05 ± 0.00308
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Which inequality is equivalent to 5(2x-6)+6(3-x)<2x+4
By answering the given question, we may state that Therefore, the equivalent inequality is: x < 2
What is inequality?A relationship between two terms or values which is not equal is known as an inequality in mathematics. Inequality follows imbalances, therefore. In mathematics, an inequality makes a link among two quantities that are not equal. Egality and inequality are different. Use the not similar symbol most frequently when two components are not equal (). Various inequalities are employed to contrast values of all sizes. By changing the two parts until only the variables are left, one can solve many straightforward inequalities. However a variety of factors support inequality: Negative values are split or added on either side. Switch between the left & right.
inequality using basic algebraic operations:
5(2x-6)+6(3-x)<2x+4
10x-30+18-6x < 2x+4
4x - 8 < 0
4x < 8
x < 2
Therefore, the equivalent inequality is:
x < 2
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Language arts Algebra 1 T.16 Compare linear functions: tables, graphs, and equations GOT Function A Function A and Function B are linear functions. -10-22 9 Analytics -20 16 Function B y = 3x Which statement is true? Science Submit The y-intercept of Function A is greater than the y-intercept of Function 8. & Recommendations The y-intercept of Function A is less than the y-intercept of Function B. Work it out Not feeling rea These help:
The true statements about the functions A and B are
C. The y-intercept of Function A is greater E. The rate of change of Function A is lesserHow to determine the true statement about the functionsGiven that
Function B: y = 3x + 4
A linear equation is represented as
y = mx + c
Where
Rate of change = m
y-intercept = c
Using the above definition, we have the following summary for function B
Rate of change = 3 and y-intercept = 4
For function A (the table), we have
Rate of change = (10 - 2)/(3 - 1)
Rate of change = 4
While the y-intercept is
y-intercept = 2 - 4
y-intercept = -2
So, we have
Function A Function B
Rate of change 3 4
y-intercept 4 -2
By comparing the features, we have the following true statements
C. The y-intercept of Function A is greater than the y-intercept of Function B.
E. The rate of change of Function A is less than the rate of change of Function B.
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Complete question
Function A and Function B are linear functions. Function A is represented by the table of values. Function B is represented by the equation.
Function A
x 1 3 4 7
y 2 10 14 26
Function B
y = 3x + 4
Which statements about the properties of Function A and Function B are true? Select each correct statement.
A. The y-intercept of Function A is equal to the y-intercept of Function B. B. The y-intercept of Function A is less than the y-intercept of Function B. C. The y-intercept of Function A is greater than the y-intercept of Function B.
D. The rate of change of Function A is equal to the rate of change of Function B.
E. The rate of change of Function A is less than the rate of change of Function B.
F. The rate of change of Function A is greater than the rate of change of Function B.
10 POINTS! PLEASE HELP! CORRECT ANSWERS ONLY!
Answer:5f+6g+12
Step-by-step explanation:
10f-5f=5f
8+4=12
5f+6g+12
Please help I’ll give brainliest!
Answer: -2x(x-5)(x+4)
Step-by-step explanation:
Answer:
Step-by-step explanation:
add it up and then multiply and then you divide and you got the answer so may i please have brinliest. sir
so its x27
A workman is paid #15, 200 for a 40-hours week. Calculate his hourly rate of pay
The workman's hourly rate of pay for a 40-hours week is 380.
Hourly rate of pay = Total pay ÷ Total hours worked
Hourly rate of pay = 15, 200 ÷ 40 = 380
Therefore, the workman is paid 380 per hour for a 40-hours week. To calculate the hourly rate of pay, the total pay is divided by the total hours worked. In this case, the total pay is 15, 200 and the total hours worked is 40, so when we divide 15, 200 by 40, we get 380. This is the hourly rate of pay for the workman for the 40-hours week.
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Can someone please help me with this asap? I will give brainliest if it’s all done correctly
Show work please
Answer:
The probability of selecting a face card or a spade when randomly selecting one card from a standard deck of cards is 11/26 or approximately 0.423.
Step-by-step explanation:
Part A
No, selecting a face card and selecting a spade when randomly selecting one card from a standard deck of cards are not mutually exclusive events. This is because there are face cards that are also spades, so there is an overlap between the two events.
Part B
The probability of selecting a face card or a spade when randomly selecting one card from a standard deck of cards can be calculated as follows
P(face card or spade) = P(face card) + P(spade) - P(face card and spade)
Part C
The probability of selecting a face card or a spade when randomly selecting one card from a standard deck of cards can be calculated as follows
P(face card or spade) = P(face card) + P(spade) - P(face card and spade)
P(face card or spade) = 12/52 + 13/52 - 3/52
P(face card or spade) = 22/52
P(face card or spade) = 11/26
Hence, the probability of selecting a face card or a spade when randomly selecting one card from a standard deck of cards is 11/26 or approximately 0.423.
WOULD LIKE AS SOON AS POSSIBLE PLEASE polynomial multiplication
need answers for 4,5,6,7,8,9, and 10 !
Polynomial multiplication is the process of multiplying two polynomials together to get a new polynomial that represents the product of the two original polynomials.
What is Polynomial multiplication?It should be noted that to multiply two polynomials, you need to perform a distributive operation. You take each term of the first polynomial and multiply it by each term of the second polynomial. Then, you add all the resulting terms together to get the final polynomial.
For example, let's say you want to multiply the polynomials (x + 2) and (x - 3).
First, you multiply the x term in the first polynomial by the x term in the second polynomial:
(x) * (x) = x²
Next, you multiply the x term in the first polynomial by the -3 term in the second polynomial:
(x) * (-3) = -3x
Then, you multiply the 2 term in the first polynomial by the x term in the second polynomial:
(2) * (x) = 2x
Finally, you multiply the 2 term in the first polynomial by the -3 term in the second polynomial:
(2) * (-3) = -6
Now, you add up all the resulting terms to get the final polynomial:
x² - x - 6
Therefore, the product of (x + 2) and (x - 3) is x² - x - 6.
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3/5 kilogram of soil fills 1/3 of a container can 1 kilogram of soil fit
in the container
1 kilogram of soil will fit in the container, since 1 kilogram is less than 27/5 kilograms.
What is the fraction of 1 kg soil in the container?
We can start by using ratios to solve this problem.
From the information given, we know that:
3/5 kilogram of soil fills 1/3 of the containerWe want to know how much soil will fit in the entire container (which is equivalent to 3 times the amount that fills 1/3 of the container)
To find out how much soil fills the entire container, we can set up a ratio:
(3/5 kg of soil) : (1/3 of container) = (x kg of soil) : (1 container)
We can cross-multiply to solve for x:
(3/5 kg of soil) * (1 container) = (1/3 of container) * (x kg of soil)
Multiplying both sides by 3/1 gives:
(3/5) * 3 * (1 container) = (1/3) * x
Simplifying gives:
9/5 = 1/3 * x
Multiplying both sides by 3 gives:
27/5 = x
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The complete question is below:
3/5 kilogram of soil fills 1/3 of a container can, 1 kilogram of soil fit ? in the container
Solve for X.
6x = 18
x = [?]
Answer: 3
Step-by-step explanation: do the opposite function, in this case you need to multiply 6 by x to get 18. So, now you just have to divide 18 by 6.
18/6 =3
You can make sure this is correct by multiplying your numbers of 6 and 3
6x3 = 18
Answer:3
Step-by-step explanation:
6x=6*x
6*x=18
ab=c
in order to find a we need to divide c with a. a=c/b.
in this case,
x=18/6=3
pls answerrrrr
with simple working
Answer:
it goes by minus 8 each time so just put the number and negative 8 each time on a paper and the 20th term would be your answer
The average high temperatures in degrees for a city are listed. 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57 if a value of 110.5° is added to the data, how does the mean change and by how much? a. the mean increases by 2.3°.b. the mean increases by 2.7°. c. the means stays at 80.4°. d. the mean stays at 82.7°.
Answer:
The measure which changes the most is the mean and the new value is 84°
The correct answer option is option B
Step-by-step explanation:
How to calculate mean and median?
Given data set:
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
Median = (100 + 105) / 2
= 205/2
= 102.5°
Mean = (58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57) / 12
= 965 /12
= 80.4°
Range = Highest value - lowest value
= 105 - 57
= 48°
Interquartile range = Third quartile - First quatile
= 88.5° - 74°
= 14.5°
If 58° is changed to 101°
101, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
Median = (100 + 105) / 2
= 205/2
= 102.5°
Mean = (101 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57) / 12
= 1008 /12
= 84°
Range = Highest value - lowest value
= 105 - 57
= 48°
First quartile = (71 + 77) / 2
= 148/2
= 74°
Third quartile = (95 + 82)/2
= 177/2
= 88.5°
Interquartile range = Third quartile - First quatile
= 88.5° - 74°
= 14.5°
Therefore, the new mean is 84°
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What is the approximate area of the shaded sector in the circle shown below?
14 in
C
30⁰
OA. 205 in²
O B. 51 in2
OC. 3.67 in²
OD. 7.33 in2
SUBMIT
Answer:
B. 51 in²
Step-by-step explanation:
The area of a sector which has a central angle of θ degrees is given by
Area of circle x θ/360
where
area of circle = πr² with r being the radius
So area of sector = πr² x θ/360
here r = 14 in and θ=30°
Area of sector
= π x 14² x 30/360
= 51.31268 in²
≈ 51 in²
Option B
2. A grocer is weighing watermelons in his grocery
store. The weight in pounds of each watermelon is
listed below. Use the data to create a stem and
leaf plot.
II, 13, 20, 22, 8, 25, 17, 18, 23, 19, 17, 9, 14
Here is the stem and leaf plot :
0 8, 9
1 1, 3, 4, 7, 7, 8, 9
2 0, 2, 3 5
What is a stem and leaf plot?A stem-and-leaf plot is a table that is similar to a histogram. A stem-and-leaf plot divides a number into a stem and a leaf.
The stem is the first number in the digit. In this question, the stem is the tens value. While the leaf is the last number. In this question, it is the units digit. For example in the number 20, 2 would be the stem and 0 would be the leaf. All the numbers that have the same stem would occupy the same row.
An advantage of a stem and leaf plot is that it is easy to create while a disadvantage is that it can be tedious when the dataset is large.
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What is the equation of a line that is parallel to the line whose equation is y=x+ 2?
Oy-x=-1
O 2x+y = -2
Oy-2x = 3
O x + y = 5
Answer:
[tex]y-x=1[/tex]
Step-by-step explanation:
All the other choices are incorrect because when put in slope-intercept form (y = mx + b), the slope is not equal to 1. The slope of the lines for the other equations are [tex]-\frac{1}{2} , 2, and -1[/tex]. Only the first choice has a slope of 1 like the given equation.
A standardized test is given to a sixth grade class and a seventh grade class. The superintendent believes that the variance in performance from the sixth grade class is greater than the variance in performance from the seventh grade class. The sample variance of a sample of 19 test scores from the sixth grade class is 34. 66. The sample variance of a sample of 18 test scores from the seventh grade class is 6. 3. Test the claim using a 0. 1 level of significance. Let σ21 represent the population variance for sixth grade class.
Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer(s) to four decimal places.
Please do all steps
The answer is 4.4753, i.e. the critical value of the statistic upto four decimal places.
Step 1 of 5: State the null and alternative hypotheses.Null hypothesis (H0): σ21 = σ22
Alternative hypothesis (H1): σ21 > σ22
Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma.Round your answer(s) to four decimal places.
Critical value = 4.4753
Step 3 of 5 : Calculate the test statistic:Test statistic = 34.66/6.3 = 5.5
Step 4 of 5 : Make a decision:The test statistic (5.5) is greater than the critical value (4.4753), so we reject the null hypothesis and accept the alternative hypothesis.
Step 5 of 5 : State a conclusion:We conclude that the variance in performance from the sixth grade class is greater than the variance in performance from the seventh grade class at a 0.1 level of significance.
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I NEED HELP ON 6-7 ASAP!!
Step-by-step explanation:
disculpa, te recomiendo acercar más la foto para porder
te ayudar
Use the function below to find F(4). F(x)=5 times (1/3)^x
Answer: 5/81
Step-by-step explanation:
F(4) = 5 * (1/3) ^ 4
F(4) = 5 * 1/81
F(4) = 5/81
i have the slopes i just need the lengths in radical form and what shape its best described as
Step-by-step explanation:
Im not at a great place to answer them all, but hope this helps on answering them
So the first is 5/2. When you found that, you essentially found the 2 other sides of the "triangle".
You can use Pythagoras to find the length of PQ.
[tex] {2}^{2} + {5}^{2} = {x}^{2} [/tex]
[tex]4 + 25 = 29[/tex]
[tex] \sqrt{29} = x[/tex]
You can either keep it like that, or use a calculator to find that value. im not sure how the system accepts it. you'll do that for each one
Identity the dependent variable and the independent variable in each situation
The distance traveled, d, and the speed, s
Situation 1:
Dependent variable: Distance traveled (d)
Independent variable: Speed (s)
Situation 2:
Dependent variable: Speed (s)
Independent variable: Distance traveled (d)
What are dependent variable?The dependent variable is the variable being studied or measured in an experiment or observation. It is the output or response that is being examined based on changes in the independent variable.
What are independent variable?An independent variable is a variable that is manipulated or controlled by the experimenter in order to observe the effect on the dependent variable. It is also sometimes called the predictor variable.
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PLSSSS HELPP WILL GIVE BRAINLIEST!!!!
Answer:
Proved
Step-by-step explanation:
In triangles ABD and CBD,
Angle CDB = Angle ADB (given in Question)
Angle CBD = Angle ABD ( Angle Bisector Therom)
BD = BD ( Common side)
Therefore Triangle ABD is congruent to Triangle CBD by ASA
Hope it helps :)
Which of the following gives the correct range for the graph?
A coordinate plane with a segment going from the point negative 5 comma negative 2 to 0 comma negative 1 and another segment going from the point 0 comma negative 1 to 2 comma 3.
a −5 ≤ x ≤ 2
b −5 ≤ y ≤ 2
c −2 ≤ x ≤ 3
d −2 ≤ y ≤ 3
Answer: Its B.) −5 ≤ y ≤ 2
Step-by-step explanation: The graph shows one part of the interval increasing which is the y value and stops at 3. The X interval which is the decreasing interval stops at -5. So this would be -5 greater then or equal to y greater then or equal to 2.
Sorry if wrong! Have a nice day :)