Answer:
Graphing Linear Inequalities
This is a graph of a linear inequality:
linear inequality y <= x +2
The inequality y ≤ x + 2
You can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2
Linear Inequality
A Linear Inequality is like a Linear Equation (such as y = 2x+1) ...
... but it will have an Inequality like <, >, ≤, or ≥ instead of an =.
How to Graph a Linear Inequality
First, graph the "equals" line, then shade in the correct area.
There are three steps:
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
Let us try some examples:
Example: y≤2x-1
1. The inequality already has "y" on the left and everything else on the right, so no need to rearrange
2. Plot y=2x-1 (as a solid line because y≤ includes equal to)
Suppose that F(x)=x^3 and G(x)=-2x^3. Which statement best compares the graph of G(x) with the graph of F(x)?
Answer:
Answer: Choice C)
Stretched vertically, flipped over x axis, shifted 7 units down
Step-by-step explanation:
The graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2.
What is the general equation of a Cubic function?A cubic function is of the form f(x) = ax³ + bx² + cx + d, where a, b, c, and d are constants and a ≠ 0. It has a degree of 3 and has 3 possible roots.
We have the following functions -
f(x) = x³
g(x) = -2x³
The graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2. Refer to the graph attached.
Therefore, the graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2.
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What is the constant of variation if y varies inversely as x and y = 3 when x = 6? PLZ HELP ME I DONT UNDERSTAND
Answer:
The constant of proportionality (k) is 24
Step-by-step explanation:
if y varies inversely as x
y = k × 1/x
and y = k/x
if y = 4 and x = 6
That means 4 = k/6
and k = 4 × 6
k = 24
Can somebody help me with this ?? :)
Answer:
B.
Step-by-step explanation:
ABC ≅ XYZ
∠A≅∠X
∠B≅∠Y
∠C≅∠Z
Also, should be
AB =XY
BC=YZ
CA=ZX
By ASA, ∠A≅∠X, AB =XY, ∠B≅∠Y.
Answer B.
Which transformation(s) can map TriangleMNQ onto TrianglePQN?
translation only
reflection only
rotation, then reflection
rotation, then translation
Answer:
Translation
Step-by-step explanation:
Answer:
D. Rotation then translation
Step-by-step explanation:
which number line represents the solution to the inequality
calculate the volume:
(image will be inserted)
Answer:
D. 44 dm³
Step-by-step explanation:
Volume of cuboid equals:
a × h
4 × 11
= 44
The volume of the shape is 44 dm³.
An event management company purchases a new van. The value of the van, x years after the purchase, is shown in the table. here is the graph: Time (years): 0, 1, 2, 3 Value (dollars): 20000, 18000, 16200, 14580
Answer:
D
Step-by-step explanation:
A is not right as we don't know the formula used so we cant say the x intercept
B is not right as the function is not liner
C The function is not liner
That leaves D!
hope this helps!
Answer:
D
Step-by-step explanation:
find the size of angle yzx give your answer to 3 significant figures 7.5cm and 22.3cm
Answer:19.7
Step-by-step explanation:
Sin‐(7.5/22.3) on your calculator
The answer to 3 significant figures is 19.7
Size of angle YZX for the given measurements of triangle YZX is equal to 19.651°( 3 significant figure).
What is an angle?" Angle is defined as when two rays meet at one point known as vertex."
Formula used
[tex]sin\theta = \frac{ opposite side }{Hypotenuse}[/tex]
According to the question,
As shown in the figure,
In triangle YXZ,
Angle X = 90 degrees
Opposite side to ∠YZX , XY = 7.7cm
Hypotenuse , ZY = 22.3 cm
Substitute the value in the formula to get the value of size of angle YZX,
[tex]sin YZX = \frac{XY}{ZY}[/tex]
⇒[tex]sin YZX = \frac{7.5}{22.3}[/tex]
⇒[tex]sin YZX = 0.3363[/tex]
⇒ [tex]YZX = sin^{-1} (0.3363)[/tex]
⇒∠YZX = 19.651°
Hence, size of angle YZX for the given measurements of triangle YZX is equal to 19.651°( 3 significant figure).
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Please answer quickly! A. There are no errors. All of the expressions are equivalent. B. Expression 1. Sarah can’t apply the Distributive Property if there are three addends. C. Expression 2. Sarah can’t combine -4 and -6. She must combine -4 with 8. D. Expression 3. Sarah applied the Distributive Property but incorrectly multiplied [tex]\frac{1}{2}[/tex] (-6).
Answer:
Option D
Step-by-step explanation:
All the other expressions are correct but in Expression 3 , Sarah incorrectly multiplied 1/2(-6) while destroyed whole of her answer. She forgot to make 3 negative.
Graph g(x)=−|x+3|−2 dude i absolutely hate graphing. Does anyone else do summer school algebra on keystone.? (Also i need help please)
Answer:
Graph using graphing calc or desmos.
Step-by-step explanation:
Answer:
your graph is below. i have algebra 2 on flvs.
The origin is contained in the solution set for this system of inequalities
y< 2x + 4
y> -2x - 2
Select one:
O True
O False
Answer:
O True
Step-by-step explanation:
If we substitute (x, y) = (0, 0) into both inequalities, we have ...
0 < 2·0 +4 ⇒ 0 < 4 . . . true
0 > -2·0 -2 ⇒ 0 > -2 . . . true
The point (0, 0) satisfies both inequalities, so is contained in the solution set.
plzzzzz help x_4x+4 = 0
Answer:
x = -1
Step-by-step explanation:
4x + 4 = 0
Subtract 4 on both sides.
4x = 0 - 4
4x = -4
Divide both sides by 4.
x = -4/4
x = -1
Answer:
So the value of x is -1
Step-by-step explanation:
4x+4=0
Subtracting 4 on both sides
4x+4-4=0-4
4x=-4
Dividing 4 on both sides
x=-4/4
x=-1
The fletcher family puts loose change into a jar every evening. Once a month, the family counts the coins and prepares to take it to the bank, but removes all the pennies first. Last month, they found there were 14 more quarters than dimes, and the number of nickels was 8 less than 4 times the number of dimes. If the total value of the nickels, dimes, and quarters was $15.75, how many dimes did they have?
Answer:
They have 23 dimes
Step-by-step explanation:
Let x be the number of dimes
1 dime = 0.1 dollar
x dimes = 0.1x dollars
They found there were 14 more quarters than dimes.
No. of quarters = x+14
1 quarter = 0.25 dollar
(x+14) quarter =0.25 (x+14)
The number of nickels was 8 less than 4 times the number of dimes.
So, No. of nickels= 4x-8
1 nickel = 0.05 dollar
(4x-8) nickel = 0.05(4x-8) dollar
The total value of the nickels, dimes, and quarters was $15.75.
So,0.1x+0.25 (x+14)+ 0.05(4x-8)=15.75
x=23
Hence they have 23 dimes
12:13:14 = 48:x:56
What is x?
Answer:
x = 52
Step-by-step explanation:
You are given ratios, and the 1st ratio is being multiplied by 4 to get the second ratio. How did I find this? Divide 48 by 12 and you get 4. To find x, simply multiply 13 by 4 and you should get 52
Both Euclidean and non-Euclidean geometry have been accepted as valid types of geometry. True or False?
Answer: true
Step-by-step explanation:
what is the ph of a 6.2 x 10-6 M KOH
Answer:
10
Step-by-step explanation:
i have no flipping i think im wrong
Please please help I’m so confused
Answer: [tex]\frac{1}{9}[/tex]
Step-by-step explanation:
When any number has a negative exponent, all the negative exponent is doing is flipping the sides.
When we plug -3 in for x we get [tex]-3^{-2}[/tex].
Now just imagine the -3 in fraction form as [tex]\frac{-3}{1}[/tex]. And all you do now is just flip the sides to get [tex](\frac{1}{-3} )^{2}[/tex]
And now apply the exponent 2 to the 1 and negative 3.
1 to the power of 2 is just 1
-3 to the power of 2 is 9.
So your answer is [tex]\frac{1}{9}[/tex]
Which explains wether or not the graph represents a direct variation? LOOK AT THE PHOTO pls pls pls help
Answer:
The first choice.
Step-by-step explanation:
Direct variation is represented by y = kx where k is a constant and the graph passes through the origin.
Here k = 3..
The diagonal of a rectangle is 58" the site is 40" and the base is 42" what is the ratio of the diagonal to the base of the rectangle
Answer:
29:21
Step-by-step explanation:
The ratio of the diagonal to the base of ration is written as 58:42.
The ratio has the greatest common factor as 2.
58÷2:42÷2
29:21
The simplified ratio becomes 29:21.
3/4 of a worker's earning is #630. Find his total earning for the month
Answer:
840
Step-by-step explanation:
Let x be the total earning.
3/4 × x = 630
x = 630 × 4/3
x = 840
The worker’s total earning for the month is 840.
In a certain Algebra 2 class of 27 students, 5 of them play basketball and 12 of them
play baseball. There are 2 students who play both sports. What is the probability that
a student chosen randomly from the class plays basketball or baseball?
The probability that a student chosen randomly from the class plays basketball or baseball is 0.56.
We are able to utilize the equation:
P(B or b) = P(B) + P(b) - P(B and b)
where
B speaks to playing ball
and b speaks about playing baseball.
From the given data, we have:
P(B) = 5/27 (the likelihood of playing ball)
P(b) = 12/27 (the likelihood of playing baseball)
P(B and b) = 2/27 (the likelihood of playing both sports)
Substituting these values into the equation, we get:
P(B or b) = P(B) + P(b) - P(B and b)
= 5/27 + 12/27 - 2/27
= 15/27
= 5/9
Hence, the likelihood that an understudy chosen haphazardly from the course plays ball or baseball is 5/9 or around 0.56.
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Could someone help me and explain?
Answer:
length 3 inwidth 2 inStep-by-step explanation:
Since none of the answer choices match the drawing of the gardener, we assume the question is referring to the drawing of the partner.
The gardener's drawing is 1/4 of actual size. So, in terms of the gardener's drawing, actual size is ...
gardener's drawing = (1/4)actual size
actual size = 4(gardener's drawing)
__
The partner's drawing is 1/20 of actual size, so is ...
partner's drawing = actual size/20 = (4(gardener's drawing))/20
partner's drawing = (4/20)(gardener's drawing)
partner's drawing = (gardener's drawing)/5
__
Then the {length, width} of the partner's drawing are ...
partner's drawing {length, width} = {15 in, 10 in}/5 = {3 in, 2 in}
The partner's drawing has a length of 3 inches and a width of 2 inches.
attachment help asap
Answer:
D, C, A, B
Step-by-step explanation:
Find common factor:
60 is the common denominator
2/5=24/60
2/3=40/60
1/4=15/60
1/10=6/60
Answer:
A. 2/5 = 0.4
B. 2/3 = 0.66
C. 1/4 = 0.25
D. 1/10 = 0.1
Arranging them in the box we have
D , C , A , B
Since D is the smallest followed by C followed by A followed by B which is the largest
Hope this helps
Please help again! Same thing!
Answer:
a = - 3, b = 5
Step-by-step explanation:
To rationalise the denominator multiply the numerator/ denominator by [tex]\sqrt{2}[/tex]
= [tex]\frac{\sqrt{2}(10-\sqrt{18}) }{(\sqrt{2})^2 }[/tex]
= [tex]\frac{10\sqrt{2}-\sqrt{36} }{2}[/tex]
= [tex]\frac{10\sqrt{2}-6 }{2}[/tex]
= 5[tex]\sqrt{2}[/tex] - 3
= - 3 + 5[tex]\sqrt{2}[/tex] ← in the form a + b[tex]\sqrt{2}[/tex]
with a = - 3 and b = 5
A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will
need. The garden is in the shape of a rectangle with vertices at (3,9) (5, 9) (3, 3) (5,3). Find the total length of border
needed.
Answer:
16ft
Step-by-step explanation:
Each side is 2 units long, 2^4 or 2x2x2x2 is 16.
HELP ITS ABOUT TRIANGLESSSS. Image is attached Explanation neede plzzz
Answer:
D.
Step-by-step explanation:
So angle 2 = 180 - angle 1
Angle 1 = angle 3 + angle 4.
Angle 2 = 180 - angle 3 - angle 4
So, you can come to the conclusion that (angle 1 + angle 2) = 180°
and (angle 3 + angle 4 + angle 2) = 180°
Hi, can someone please answer this question? Thanks!!!
Answer:
m∠QPR = 20°
Step-by-step explanation:
Step 1: Find x
4x + 27 + 9x - 115 = 107
13x - 88 = 107
13x = 195
x = 15
Step 2: Find m∠QPR
9(15) - 115
135 - 115
m∠QPR = 20°
A map is drawn to a scale of 1:50000.The distance between long mountain and plaine des papayes is 17.5 cm on the map.find the actual distance in km.
Answer:
8.75 km.
Step-by-step explanation:
You can set up a ratio of the map to the actual distance of [tex]\frac{1}{50000}[/tex].
Then, this ratio can be used to cross multiply and divide to get an equivalent ratio for the distance:
[tex]\frac{1}{50000}[/tex]=[tex]\frac{17.5 cm}{x cm}[/tex] By cross-multiplying we have x (in centimeters) = 17.5×50000. This tells us that x = 875,000 cm.
However, the answer asks for the distance in kilometers, so we need to convert it. There are 100,000 centimeters in a kilometer, so by dividing: 875000÷100000=8.75 kilometers.
A triangle has sides of length 2, k and 9. What are the
possible values of k?
A) k>9
B) 7
C) k<2
D) 7 ≤ k ≤ 11
Answer:
I think A
Step-by-step explanation:
I'm not really sure but I think it's A assuming the triangle is not an equilateral
Which of the following is a like radical to 6x2?
o x(V6x
(VR)
o 6
3
O
4
6x2
o x(VB)
Answer:
3
Step-by-step explanation: