Answer:
B
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 9x + 7 ( subtract 7 from both sides )
y - 7 = 9x ( divide all terms by 9 )
[tex]\frac{1}{9}[/tex] y - [tex]\frac{7}{9}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex] (x) = [tex]\frac{1}{9}[/tex] x - [tex]\frac{7}{9}[/tex] → B
A plece of wood has a volume of 30 cm. It has a length of 2 cm and a width of 3 cm. What is the height of the wood?
5 cm
60 cm
15 cm
6 cm
Answer:
HERE IS YOUR ANSWER
Step-by-step explanation:
volume = length × width × height
30 = 2 × 3 × h
30 = 6h
5=h
It is 5 cm high
Hope it helps you
Regards,
Rachana
Write the inverse function for the function, ƒ(x) =x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.
ƒ -1(x) =
ƒ -1(4) =
Answer:
f-1(x)=x-4
f-1(4)=0
Step-by-step explanation:
to get an inverse function, replace x with y, and y with x.
y=x+4 ---> x=y+4
solve for y: x=y+4 --> y=x-4 --> f-1(x)=x-4
f-1(4)=(4)-4=0
State the range of the relation. {(3,-2),(4,-3),(5,-4),(6,0)} *
Answer:
range { -4,-3,-2,0}
Step-by-step explanation:
The range is the output values
range { -4,-3,-2,0}
Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.
The required x-intercept and y-intercept of the given line in the graph are 1 and -2 respectively.
What is an intercept of a line?The intercept of the line is defined as points where the line intersects the principle axes.
Here,
The x-intercept and y-intercept of the line are defined as the points where the given line cuts the coordinate axes.
So, from the above definition, the line intersects the x-axis at +1 and intersects the y-axis at -2.
Thus, the required x-intercept and y-intercept of the given line in the graph are 1 and -2 respectively.
Learn more about intercept here:
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help pls ?? it’s confusing
Answer:
2x+24+4x+36=180
6x+60=180
6x=180-60
6x=120
x=120/6
x=20
So <KPL=64 AND <JPL=116
Answer:
KPL = 64 JPL = 116
Step-by-step explanation:
This is a straight angle, meaning this angle will equal 180 degrees.
They give you two parts of this angle, which is (2x+24) and (4x+36)
All you have to do is add them and set this equal to 180.
So when you add 2x+24+4x+36=180 that equals 6x+60=180
Do the algebra, subtract 60 on both sides.
180-60=120
Now divide 6 on both sides.
120/6 = 20
Great, so now solved x. To find the angles, we must plug them in.
2(20)+24= 64
4(20)+36= 116
So your answer should be
KPL = 64 and JPL = 116.
This is correct because when you add these results together, you get 180.
-3(x+n)=x
Rewrite each equation to solve for x
Answer:
isolate the variable by dividing each side by factors that dont contain the variables. so this mean -3(x+n)=x becomes x= -3n over 4, I hope this helps.
Gayle is saving money to buy a
camera that costs $315. She has
$40 saved, and each week she adds
$25 to her savings. How many
weeks will it take Gayle to save
enough money to buy the camera?
Find the distance between the two points in simplest radical form.
(-1,0) and (5, -8)
Answer:
10
Step-by-step explanation:
Given coordinates:
(-1,0) and (5, -8)
Unknown:
Distance between the two endpoints = ?
Solution:
(-1,0) and (5, -8)
The equation for solving this problem is shown below;
Distance = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }[/tex]
x₁ = -1 y₁ = 0
x₂ = 5 y₂ = -8
Distance = [tex]\sqrt{[(5-(-1)]^{2} + (-8 - 0)^{2} } }[/tex] = [tex]\sqrt{36 + 64}[/tex] = 10
The distance between the two points is 10.
Please help!! Will Mark brainliest!!
7+root 3 divided by 7-root 3
what is 328 divided by 23 with the remainder
Answer:
7.1
Step-by-step explanation:
328 23 = 14.2608695652
14.2608695652 = 142.608695652 to the nearest tenth
14.2608695652 = 14.26 to the nearest hundredth
14.2608695652 = 14.261 to the nearest thousandth
= 0 to the nearest tenth
= 0 to the nearest hundredth
= 0 to the nearest thousandth
Other Divisions Math homework are
328 divide by half plus 20
Homework answers: (328/2) + 20 = 184
328 divide by half plus 40
Homework answers: (328/2) + 40 = 204
328/23 divided by 2
Answer: (328/23) ÷ 2 = 7.13043478261
Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He concludes that she is not running fast enough to exceed her fastest time.
Answer:
Answer: The question is a multiple choice so it's A and C:)
Answer:
He used an incorrect time ratio converting hours to minutes.
He incorrectly concluded that she is not running fast enough.
Last question!
Find the equation of the line
Y=__x +__
please help me solve this!!
5x = 3y + 18
3x + 5y = 4
Answer:
Slope=
2.000
1.200
=0.600
x−intercept=
3
4
=1.33333
y−intercept=
−5
4
=−0.80000
thats the first one
Step-by-step explanation:
The length of a rectangle is twice that of the width. The perimeter of the rectangle
is 24 cm. What is the width of the rectangle?
9514 1404 393
Answer:
4 cm
Step-by-step explanation:
The sum of length and width is half the perimeter, so is 12 cm.
The width : length ratio is 1 : 2. The width is 1/(1+2) = 1/3 of the total of length and width, so is ...
(1/3)(12 cm) = 4 cm
The width of the rectangle is 4 cm.
Which infinite geometric series can you NOT find the sum?
A) 96, 24, 6, 1.5, 0.375,...
B) 81, 72.9, 65.61, 59.049,...
C) 127, 152.4, 182.88, 219.456,...
D) 154, 53.9, 18.865, 6.60275,...
Answer: C) 127, 152.4, 182.88, 219.456,...
Step-by-step explanation:
You can only find the sum of an infinite geometric sequence if it converges.
One criterion to see if the series converges is if:
aₙ < aₙ₋₁
This means that, as n increases, the value of the terms decreases.
This means that as n tends to infinity, aₙ tends to zero.
Then we only can find the sum of those series where the terms are decreasing.
in A, B and D the terms are decreasing, then we can find the sum of those 3 series.
Now in the case of C, the terms are increasing, then we can not find the sum of that series.
PLS HELP ASAP FOR BRAINLIEST
Answer:
y=3
Step-by-step explanation:
it is because X=-2 had crossed the point y=3
hope this help you!!!! ;))))))
pleassseee help will give good rating and brain :)
Answer:
Step-by-step explanation:
1. (x-3)(x+8)
x^2+5-24
2. (-3x+2)(4x+5)
-12x^2-7x+10
3. (x+4)(x-4)
x^2-16
4. (x+5)^2
x^2+10x+25
5. (2x-7)^2
4x^2-28x+49
6. (x-7)(x+7)
x^2-49
7. (5x-1)(2x+4x-3)
30x^2-13x+3
8. (3x^3+7x^2+7x+10
what is binomil (2a–1)(a–3)
Answer:
[tex]2a^2-5a+3[/tex]
Step-by-step explanation:
2a(a-3)-1(a-3)=
2a^2-6a-a+3=
2a^2-5a+3
Answer:
Step-by-step explanation:
A shorter style of cup is stacked tall. The graph displays the height of the stack in centimeters for different numbers of cups. How much does each cup after the first add to the height of the stack? (Hint: How much height is gained per cup added?) Explain how you know.
SCREENSHOT OF GRAPH! HELP
Answer:
0.5 cm
Step-by-step explanation:
We are looking for how much height is gained per cup added.
Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).
Formula for slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] (3, 5.5) = (x_1, y_1) [/tex]
[tex] (8, 8) = (x_2, y_2) [/tex]
[tex] m = \frac{8 - 5.5}{8 - 3} [/tex]
[tex] m = \frac{2.5}{5} [/tex]
[tex] m = 0.5 [/tex]
0.5 cm is gained per cup added.
The rise in height per cup will be 0.5 cm.
Given information:
The given graph displays the height of the stack in centimeters for different numbers of cups.
The given points on the graph are (3,5.5) and (8,8).
Now, the slope of the line joining these two-point will give the rise per cup.
So, the slope will be calculated as,
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{8-5.5}{8-3}\\m=\dfrac{2.5}{5}\\m=0.5[/tex]
So, the slope is 0.5 centimeters per cup.
Therefore, the rise in height per cup will be 0.5 cm.
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dividing a faction by a fraction 3/5 divided 1/3
Answer:
9/5
Step-by-step explanation:
3/5 ÷ 1/3
3/5 ÷ 3/13/5 × 3/1 = 9/59/5
Which graph shows a set of ordered pairs that represent a function ?
Answer:
C
Step-by-step explanation:
if you draw a line between the points then draw vertical lines they dont cross more than one dot
What is 1 11/16 simplified
Answer:
Its already simplified but if you mean a mixed number then its 27/16
Step-by-step explanation:
WILL MARK BRAINLEST FOR CORRECT ANSWER
STANDARD FORM
4x + 6y = 12
Find the X and Y intercepts
(0, ) ( ,0)
Answer:
Shouldn't it be (4,0) and (0,6)?
Step-by-step explanation:
Patty needs a total of $80 to buy a bicycle. She has already saved $35. If she saves $10 a week from her earnings, what is the least number of weeks she must work to have enough money to buy the bicycle?
Answer:
5 weeks
Step-by-step explanation:
She would need to work at least 8 weeks because the bicycle is $80 and she has $35.
Answer:
5 weeks
Step-by-step explanation:
i took 80 - 35 to get 45 (money she still needs)
then took 45 divided by 10 to get 4.5 ( how many weeks till she has the money)
and if you get 10 dollars per week and its asking how many weeks
you have to up the 4 by one because it has a .5
so it would be 5 weeks
Please someone help meee!!
Option B is the correct answer
PLEASE HELP!!! MATH FINAL
Answer:
He Won 26 Box trolls and 11 Pikachus
Step-by-step explanation:
You subtract 37-11 which would get you 26
If f(x) = 2x-5 and g(x) = x2 - 4x - 8, find (f+ g)(x).
O A. (f+9)(x) = x2 - 2x - 13
O B. (f+g)(x) = x2 + 2x - 3
O C. (f+g)(x) = x2 - 2x-3
O D. (f+g)(x) = 3x2 - 4x - 13
The addition of the functions f(x) and g(x) will be (f+ g)(x) = x² – 2x – 13. Then the correct option is A.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
If f(x) = 2x – 5 and g(x) = x² – 4x – 8.
Then the function (f+ g)(x) will be
(f+ g)(x) = f(x) + g(x)
(f+ g)(x) = 2x – 5 + x² – 4x – 8
(f+ g)(x) = x² – 2x – 13
Then the correct option is A.
More about the function link is given below.
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Which table represents a linear function?
x---y
0---1
1---2
2---4
3---8
x---y
0---0
1---1
2---3
3---6
x---y
0---0
1---1
2---0
3---1
x---y
0---1
1---3
2---5
3---7
Answer:
I am pretty sure the last one is correct
The table that represents a linear function is:
x---y
0---1
1---2
2---4
3---8
Here, we have,
from the given tables, we get, the information that,
from the 1st table, we get,
x---y
0---1
1---2
2---4
3---8
In this table, the y-values increase by a constant difference of 1 as the x-values increase by a constant difference of 1.
This indicates a linear relationship between x and y, where the y-value is twice the x-value.
but, in the other tables, we can't get any linear relationship between x and y.
so, we get,
The table that represents a linear function is:
x---y
0---1
1---2
2---4
3---8
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Grandma baked 969696 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received ccc fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren. How many cookies did Cindy receive?
Answer:
Cindy get (12-c) amount while others get 12 cookies
Step-by-step explanation:
From the question we are informed that Grandma baked 96 cookies
And there are 8 Number of grandchildren available
But the cookies must be divided equally among this grandchildren to calculate the number of cookies each of them get we have,
= 96 cookies baked/8 Number of grandchildren available
= 12 cookies
Which means each get 12 cookies
But
Cindy received less cookies with less C amount.
Then Cindy own will be( 12-c) cookies
Therefore Cindy get (12-c) amount while others get 12 cookies
Answer:
12-c
Step-by-step explanation:
Khan academy unit test, 7th grade math.