Consider a student’s work in determining the solution set of x > 2(y – 1)^2 – 2.
Test point: (2.25, 1.25)
x > 2(y – 1)^2 – 2
2.25 > 2(1.25 – 1)^2 – 2
2.25 > 2(0.25)^2 – 2
2.25 > 2(0.0625) – 2
2.25 > 0.125 – 2
2.25 > –1.875
Conclusion: The point (2.25, 1.25) satisfies the given inequality.
Solution set:
Which element, if any, shows an error in the student’s work?
There are no errors.
The conclusion statement is incorrect.
The graph of the solution set is incorrect.
The substitution of x and y values is incorrect.
Answers
Answer:
C. The graph of the solution set is incorrect.Step-by-step explanation:
Solution is right, properly substituted x- and y-values, no mistakes. Conclusion is right, the point within the solution set. The only mistake is the graph, with > sign the line of the graph is not included into solution, therefore should be dotted.There are no errors.
Incorrect (the graph)The conclusion statement is incorrect.
IncorrectThe graph of the solution set is incorrect.
Correct (the line should be dotted)The substitution of x and y values is incorrect.
Incorrect
Answer:
Its C
Step-by-step explanation:
Related Questions
1. How many sheets can a copier reproduce in 5 min. if it makes a copy every 1 ⅑ sec.?
Answers
Answer:
4.5 or just say 4 if your gonna round it up. hope this helped :)
Step-by-step explanation:
The number of kilograms, y, of original oxygen that remain in the body after t hours can be modeled by the equation y = 0.32(0.76)t . What is the rate of decrease of original oxygen?
Answers
Answer:
24%
Step-by-step explanation:
The number of kilograms, y, of original oxygen that remain in the body after t hours can be modeled by the equation y = 0.32(0.76)^t . What is the rate of decrease of original oxygen?
The formula for Exponential Decrease is given as:
y = a(1 - r)^t
Where
y = Amount after time t
a = Original amount
r = Rate of decrease
t = Time
Comparing both Equations
y = 0.32(0.76)^t = y = a(1 - r)^t
We know that
0.76 = 1 - r
Solving for r
Collect like terms
r = 1 - 0.76
r = 0.24
Converting to Percentage
= 0.24 × 100
= 24%
Therefore, the rate of decrease of original oxygen is 24%
Line segment JL is an altitude in triangle JKM. Triangle K J M is shown. Angle K J M is a right angle. An altitude is drawn from point J to point L on side K M to form a right angle. The length of K J is 13, the length of J L is 5, and the length of J M is 8. Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth. JKM is a right triangle because KL + LM = 15.3. JKM is a right triangle because KL + LM = 18.2. JKM is not a right triangle because KL + LM ≠ 15.3. JKM is not a right triangle because KL + LM ≠ 18.2.
Answers
Answer:
JKM is not a right triangle because KL + LM ≠ 15.3.
Step-by-step explanation:
Given
[tex]JK = 13[/tex]
[tex]JL = 5[/tex]
[tex]JM = 8[/tex]
Required
Determine if JKM is right-angles or not
Calculate length KL using Pythagoras theorem.
[tex]JK^2 = JL^2 + KL^2[/tex]
[tex]13^2 = 5^2 + KL^2[/tex]
Collect like terms
[tex]KL^2 = 13^2 - 5^2[/tex]
[tex]KL^2 = 144[/tex]
[tex]KL = 12[/tex]
Calculate length LM using Pythagoras theorem.
[tex]JM^2 = JL^2 + LM^2[/tex]
[tex]8^2 = 5^2 + LM^2[/tex]
Collect like terms
[tex]LM^2 = 8^2 - 5^2[/tex]
[tex]LM^2 = 39[/tex]
[tex]LM = \sqrt{39[/tex]
[tex]LM = 6.2[/tex]
[tex]KM = KL + LM[/tex]
[tex]KM = 12 + 6.2[/tex]
[tex]KM = 18.2[/tex]
If JKM is right-angled, then:
[tex]KM^2 = JK^2 + JM^2[/tex]
[tex]KM^2 = 13^2 + 8^2[/tex]
[tex]KM^2 = 233[/tex]
[tex]KM = \sqrt{233[/tex]
[tex]KM = 15.3[/tex]
[tex]15.3 \ne 18.2[/tex]
i.e
[tex]KL + LM \ne 15.3[/tex]
Hence: JKM is not right-angled
Answer:
C-JKM is not a right triangle because KL + LM ≠ 15.3
Step-by-step explanation:
if right mark as brainliest
Calculate the volume of the prism by trst finding the total
cubes that will fill it. There are 8 half-unit cubes in every unit cube,
1 1/4
IN
22
A. Number of half-unit cubes = 10
V= 12 cubic units
B. Number of half-unit cubes = 10
V= 5 cubic units
C. Number of half-unit cubes = 5
V=2 cubic units
D. Number of half-unit cubes = 5
V=12 cubic units
Answers
Factorise this pleasee
x2 + 4x -45
Answers
Answer:
(x - 5)(x + 9)
Step-by-step explanation:
Mrs. Jones rented a truck. Easy math problem. Only answer if you know how to do it. Help needed ASAP
Answers
Answer:
80%
Step-by-step explanation:
150/100*20=$30
150-30=120
120/150=0.8=80%
8. Which expression is equivalent to 0.6x?
O
X-0.4x
O
1 -0.4x
X + 0.6
0.6X - X
Answers
Answer:
X - .4x
Step-by-step explanation:
X - .4x = x(1-.4) = .6x
1 -0.4x These are not like terms so they cannot be combined
X + 0.6 These are not like terms so they cannot be combined
0.6X - X x( .6-1) = x(-.4) = -.4x
In ΔHIJ, h = 3.7 cm, i = 5.4 cm and j=3.8 cm. Find the measure of ∠H to the nearest degree.
Answers
Answer:
43
Step-by-step explanation:
deltamath
Answer:43
Step-by-step explanation:
A TV station executive is planning the new lineup for next season's shows. On Monday nights, there will be 6 sitcoms and 6 dramas, for a total of 372 minutes of programming, not counting commercials. On Tuesday nights, he has scheduled 2 sitcoms and 6 dramas, for a total of 288 minutes of non-commercial programming. All sitcoms have the same length and all dramas have the same length. How long is each type of show?
Answers
Answer:
x = length of sitcoms = 21 minutes
y = length of dramas = 42 minutes
Step-by-step explanation:
Let
x = length of sitcoms
y = length of dramas
6x + 6y = 372 (1)
2x + 6y = 288 (2)
Subtract (2) from (1) to eliminate y
6x - 2x = 372 - 288
4x = 84
x = 84/4
x = 21
Substitute x = 21 into (1)
6x + 6y = 372
6(21) + 6y = 372
126 + 6y = 372
6y = 372 - 126
6y = 246
y = 246/6
y = 41
x = length of sitcoms = 21 minutes
y = length of dramas = 42 minutes
can somebody please help, I want to say it's be, but I also think it might be D
Answers
Step-by-step explanation:
I think it's option B is the correct answer of this question.
Jorge is making 6 large salads and 4 small salads. How many cherry tomatoes does he need?
Answers
Answer:
we need an amount of cherry tomatoes per each salad so we can answer.
Step-by-step explanation:
Just name the amount of tomatoes there are in each salad.
Answer:the large one needs 10 and the small one needs 6 so if you get this right can you pick me as the brainliest
Step-by-step explanation:
We know that Jorge is making 6 large salads and 4 small salads. Each large salad needs 10 cherry tomatoes and each small salad needs 6 cherry tomatoes. 6 large salads need 10 cherry tomatoes
Hi can you please help I’ve been stuck on this question
Answers
9514 1404 393
Answer:
20 meters
Step-by-step explanation:
Using the formula for the area of a rectangle, fill in the given information and solve for the unknown.
A = LW . . . . . . . . area is length × width
80 m² = L·(4 m)
(80 m²)/(4 m) = L = 20 m . . . . . . . divide by 4m (the coefficient of L)
The tarp is 20 meters long.
Quick! Please help...... this needs to be 20 letters
Answers
Step-by-step explanation:
there you go that is the answer
Ursula surveyed 50 classmates about their favorite ice cream flavors. Each classmate chose one flavor. The results are shown in the circle graph. Favorite Ice Cream Flavors Coffee 14% Chocolate 42% Strawberry 18% Vanilla How many more of Ursula’s classmates chose chocolate than chose vanilla?
Answers
Answer:
3
Step-by-step explanation:
Answer:
answer would be 3!
Step-by-step explanation:
view the problem, it could be adding or subtracting. your welcome! c:
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answers
Answer:
They are vertical
x=32.5
Step-by-step explanation:
75 + 4x-25 = 180
4x = 180+25-75
4x=130
x=32.5
No clue what I am doing
Answers
Answer:
1. 1=18°, 2=90°
2. 1=85°
3. 1=97°
4. 2=83°
5. 3=49°
6. 1=94°
7. 4=45°
8. 3=65°
9. 2=79°
10. 5=73°
11. 6=147°
12. 1=26°
13. 2=32°
Step-by-step explanation:
1. all angles of a triangle equal 180. 2 is 90 degrees because you can look across to find the symbol. Then you subtract 180 by 72 and 90 to get 18.
2. do the same thing as last time, 180 minus 40 and 55.
3. In order to figure this out, you need to have the angle 2. One you have 83, angles like this, together will add up to 360 if you put 2 of them together. 83×2=166. 360-166=194. 194/2=97.
4. To figure this out, you find the angle across from it because those are always the same. Follow the same process to subtract 39 and 58 from 180 to get 83.
5.Now that you have the angle 2 you can figure this one out as well, again, follow the process of subtracting the two opposite angles from 180 to get 49.
(This is taking really long to explain so if you have questions just ask.)
please help i’ll give brainliest if you help thanks
Answers
Answer:
pretty sure its 4b!
Step-by-step explanation:
Answer:
4b
Step-by-step explanation:
True or false ? Is f(x) a function
Answers
Answer:
true
Step-by-step explanation:
help pls i need help
Answers
Answer:
The second and third one
Step-by-step explanation:
According to the statement, numbers between 4 and 5 is 4.1 - 4.9
But it is doubled so it is 8.2 - 9.8
These numbers are greater than 8 and less than 9
These numbers are also greater than 9 and less than 10
HURRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYR
Answers
Answer:
You're answer is c 55/6.
Answer:
C. 55/6
Step-by-step explanation:
It’s 11/3 + 11/2. To get the same denominator multiple the top and bottom of the left fraction by 2 and the top and bottom of the right fraction by 3. Then you get 22/6 + 33/6 which is 55/6
What is the value of the y-intercept of the graph f(x)=−6⋅7.5x?
Enter your answer in the box.
y =
Answers
Answer:-6
Step-by-step explanation:
The value of the y-intercept is 0.
y = 0
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of the given function is:
f(x) = -6 x 7.5x
We can rewrite this in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept:
f(x) = -6 x 7.5x + 0 (since the x-term has a coefficient of 0)
f(x) = -45x + 0
So, the slope of the line is -45 and the y-intercept is 0.
Therefore,
The value of the y-intercept is 0.
y = 0
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Please Help Me With This Math. It's 4th Grade Math!!!
Answers
Answer:
1 1/2 hours
=
Other ways to show would be; = 1 1/2 hours = 1 .5 hrs = 90 minutes
Step-by-step explanation:
We write out the question 2 1/4 - 3/4 = ?
Then you use the model A below
Next you can add on from the smaller number 3/4 being step 1
And you use model B to find step 2 + step 3 as it reminds you that there is 1/4 in total time being the smallest box out of the sum.
step 1 = 3/4 + 1/4 = 1 = 1/4 is missing in A model box
step 2 = + 1 (to make 2) = 1 is left in B model box
step 3 is + 1/4 is left in B model box
Then add the up = 1/4 + 1 + 1/4 = 1 1/2
Your answers will be model represents 3hrs divided into 6 hours
Jessi played in the afternoon
Playedi n afternoon for 1 1/2 hours
Answer:
1 1/2 hours
Step-by-step explanation:
Taylor's mom said he and his brother could go to a movie while she went shopping,
She dropped them off at the theater at 1:45 and said she would be back at 4:00 to get
them. They had three choices of movies. Which movie could they see and be done
by the time their mom came to get them? Show all your work. Hint: Remember that
there are 60 minutes in an hour.
Length
(Including Previews)
Movie
Start Time
1:55
130 minutes
Beetle goes to Town
2:00
125 minutes
Arctic Adventure
Answers
Answer:
beetle goes to town and artic adventure both end at 3:25 so really it's a gamble
Step-by-step explanation:
Greg bought 28 pounds of sugar for $11.
How many dollars did he pay per pound of sugar?
Answers
Answer:
$2.54
Step-by-step explanation:
You divide 28 by 11 and you get 2.54545454545, which you can just sum down to 2.54 (I think thats right)
A Camera has a list price $560.99 before tax if the sales tax rate is 7.75% find the total cost of the camera wit sale tax included round your answer to the cent
Answers
Answer:
$604.47
Step-by-step explanation:
Given data
Cost of camera= $560.99
Tax= 7.75%
Let us find the amount of the tax
=7.75/100* 560.99
=0.0775*560.99
=$43.48
Hence the amount of the tax is $43.48
Therefore the total cost is
=43.48+560.99
=$604.47
Find the slope of the line
Answers
Answer:
Slope is 2
Step-by-step explanation:
To find the slope of a line, pick two points and do y1-y and x1-x
The two points I picked is (2,3) and (5,9)
y1=9
y=3
----------
x1=5
x=2
Subtract, then put it as a fraction.
6/3 or 2.
if -1 is a root of f(x), which of the following must be true
A. a factor of f(x) is (x-1)
B. a factor of f(x) is (x+1)
C. both (x-1) and (x+1) are factors of f(x)
D. neither (x-1) nor (x+1) is a factor of f(x)
Answers
Option (B) is correct, A factor of f(x) is x+1.
What is function?A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
Given that,
Function f(x) has one root, which is -1.
Implies that,
for the function f(x),
x = -1,
or (x+1) = 0,
So, (x+1) is the factor of the function f(x).
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Is the following equation Linear, Non-linear, or neither
5x +2(x3 - 9) = 132 + 8x?
Answers
Answer:
x = 50
Step-by-step explanation:
5x + 2(3x - 9) = 132 + 8x
5x + 6x - 18 = 132 + 8x
11x - 18 = 132 + 8x
11x - 18 = 8x + 132
11x - 18 + 18 = 8x + 132 + 18
11x = 8x + 150
11x - 8x = 8x - 8x + 150
3x = 150
3x ÷ 3 = 150 ÷ 3
x = 50
What is X-4<5 Helpppp I dont understand
Answers
Answer:
x<9
Step-by-step explanation:
isolate the x by adding 4 on both sides. then add 4+5 to get 9.
i hope this helps :)
(i) Factorise the expression x^3 + 3x - x^2 - 3 completely.
(ii) Hence, express (x^2 – 3)^3 - (2 - x^2)^2 + 3(x^2- 3) in the form (x^4+Ax^2+B)(x^2+ C), where A, B and C are integers.
Answers
Step-by-step explanation:
Answer 1 put all like terms then solve
hope it helps....
a) The value of the equation is A = ( x - 1 ) ( x² + 3 )
b) The value of the equation is B = ( x⁴ - 6x² + 10 ) ( x² - 4 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
The equation is A = x³ + 3x - x² - 3
On simplifying the equation , we get
A = x³ - x² + 3x - 3
A = x² ( x - 1 ) + 3 ( x - 1 )
On factorizing the equation , we get
A = ( x² + 3 ) ( x - 1 )
b)
The equation is B = ( x² - 3 )³ - ( 2 - x² )² + 3 ( x² - 3 )
On simplifying the equation , we get
B = ( x² - 3 )³ - ( x⁴ - 2x² - 2x² + 4 ) + 3 ( x² - 3 )
On further simplification , we get
B = ( x² - 3 )³ - x⁴ + 4x² - 4 + 3x² - 9
B = ( x² - 3 )³ - x⁴ + 7x² - 13
On factorizing the equation , we get
B = ( x - 2 ) ( x⁵ + 2x⁴ - 6x³ - 12x² + 10x + 20 )
B = ( x - 2 ) ( x + 2 ) ( x⁴ - 6x² + 10 )
And , on further simplification , we get
B = ( x² - 4 ) ( x⁴ - 6x² + 10 )
Hence , the equation is B = ( x² - 4 ) ( x⁴ - 6x² + 10 )
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