For the function k(x) =Negative StartFraction 1 Over 16 EndFraction x – 8, what is the inverse function k–1(x)?

Answers

Answer 1

Answer:

Step-by-step explanation: it’s D on edge

Answer 2

The inverse function is,

⇒ k⁻¹ (x) = -16 (x + 8)

What is Inverse function?

The inverse function returns the  original value for which a function gave the outputs.

Given that;

The function is,

k (x) = -1/16 x - 8

Now, Find the inverse function as;

k (x) = -1/16 x - 8

Substitute k (x) = y,

y = -1/16 x - 8

Find the value of x in terms of y,

y = -1/16 x - 8

y + 8 = -1/16 x

16 ( y + 8 ) = -x

x = -16 ( y + 8 )

Replace x and y,

y = -16 ( x + 8 )

Thus, The inverse function is,

⇒ k⁻¹ (x) = -16 (x + 8)

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Related Questions

8x(2+0)^2 divided by 2

Answers

Answer:

16

Step-by-step explanation:

STEP 1:

Calculate within Parentheses:

[tex](2 + 0) = 2[/tex]

=

[tex]8 \times {2}^{2} \div 2[/tex]

STEP 2:

Calculate Exponents:

[tex] {2}^{2} = 4[/tex]

=

[tex]8 \times 4 \div 2[/tex]

STEP 3:

Multiply & Divide (left to right):

[tex]8 \times 4 \div 2 = [/tex]

[tex]8 \times 4 = 32[/tex]

[tex]32 \div 2 = 16[/tex]

So, your answer is 16.

=8x 2^2 =8x4
(8x4)/2=8x2=16

PLEASE PLEASE HELP ITS TIMED I WILL GIVE 10 POINTS


Bria asked her classmates whether they prefer math or science. Nine of her classmates said math and eight of her
classmates said science. Which inequality correctly compares the fraction who prefer science to the fraction who
prefer math?

Answers

Answer:

8/17<9/17

Step-by-step explanation:

Might be wrong with my answer but my logic was that if there are 9 students who prefer math and 8 who prefer science, that there are 17 students total. If there are 17 students total the denominator should be 17. Since 8 of them prefer science, we can write that as 8/17 because 8 out of the 17 students prefer science. Similarly we can write the number of students who prefer math as 9/17 because there are 9 students out of 17 who do.

HELP URGENT NEED HELP
A pound of blueberries costs $3.98 and a pound of clementines costs $2.49. What is the combined cost of 0.6 pound of blueberries and 1.8 of clementines? Round your answer to the nearest cent.

Answers

0.6*3.98+1.8*2.49 =6.87 total cost

Age If you add Natalie's age and Fred's age, the result is 43. If you add Fred's age to 4 times
Natalie's age, the result is 79. Write and solve a system of equations to find how old Fred and
Natalie are.
Fred is
years old. Natalie is
years old.

Answers

Let’s take fred age as x and Natalie’s age as y.
So,
A/Q
X + Y = 43. Let it be eqution 1
and
X + 4Y = 79. Let it be equation 2


Combining equation 1 and 2, we get

( X + Y) + 3Y = 79
43 + 3Y = 79
3Y = 36
Y = 12

Now, evaluating the value of Y in equation 1 we get,

X + 12 = 43
X = 31

Therefore, Fred is 31years old and Natalie is 12 years old.

Sara and Collin's ages add up to 85. Sara is ten years older than foustimes
Collin's age. How old are Sara and Collin?

Answers

Answer:

Collin is 37.5 and Sara is 47.5

Step-by-step explanation:

s+c=85

c+10=s

(c+10)+c=85

2c+10=85

2c=75

c=37.5

s+(37.5)=85

s=47.5

Triangle TVW is dilated according to the rule
DO,(x,y)(three-fourths x, three-fourths y) to create the image triangle T'V'W', which is not shown.

On a coordinate plane, triangle T V W has points (negative 4, 8), (0, 4), and (4, 4).

What are the coordinates of the endpoints of the segment T'V'?

T'(-3, 6) and V'(0, 3)
T'(-3, 6) and V'(0, 1)
T'(-1, 2) and V'(0, 3)
T'(-1, 2) and V'(0, 1)

Answers

Answer:

D

Step-by-step explanation:

The coordinates of the endpoints of the segment  [tex]T'V'[/tex]  are  [tex](-3,6), \ (0,1).[/tex]

What is dilation of triangle?

Dilation of triangle means each point is stretched outwards or inwards from the center point by multiplying by the scale factor to form a similar triangle.

We have,

Triangle [tex]T V W[/tex] which has points [tex](- 4, 8)[/tex], [tex](0, 4)[/tex], and [tex](4, 4)[/tex] on a coordinate plane.

Scale factor [tex]\frac{3}{4} x, \ \frac{3}{4} y[/tex]

It has to be dilated to create a new triangle [tex]T'V'W'[/tex] .

So,

To create a new triangle [tex]T'V'W'[/tex] we have to multiply the original triangle's coordinate by scale factor, to get new triangle's coordinate .

So, we have to dilate the coordinates by  [tex]\frac{3}{4} x, \ \frac{3}{4} y[/tex] ,

[tex]T'=(- 4, 8)=\frac{3}{4} *(-)4, \frac{3}{4} *8= (-3,6)[/tex]

[tex]V'=(0, 4)=\frac{3}{4} *0, \frac{3}{4} *4=(0,1)[/tex]

[tex]W'=(4, 4)=\frac{3}{4} *4,\frac{3}{4} *4=(0,0)[/tex]

So, the  coordinates of triangle [tex]T'V'W'[/tex] after dilation are [tex](-3,6), \ (0,1), \ (0,0)[/tex] . Hence we can say that the coordinates of the endpoints of the segment  [tex]T'V'[/tex]  are [tex](-3,6), \ (0,1).[/tex]

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Given ΔABC, what is the value of x? Write the answer as a decimal number.

Answers

if the angle ABC is 90°, then x=8,9

In the triangle above, the console of p degrees is 0.8 what is the sine of q degrees

Answers

Answer:

Step-by-step explanation:

[tex]cosp=(8/10)\\ \\ p=cos^{-1}(8/10)\\ \\ q=90-p\\ \\ q=90-cos^{-1}(8/10)\\ \\ sinq=sin(90-cos^{-1}(8/10)\\ \\ sinq=(8/10)[/tex]

In the triangle above, the console of p degrees is 0.8. So, the sine of angle q is 0.6.

It seems like there is a description of a triangle with angles p and q, where the console of angle p is 0.8. However, the term "console" is not familiar in the context of trigonometry. I assume you meant "cosine" instead of "console."

If that's the case, let's proceed with the assumption that cos(p) = 0.8.

The cosine of an angle is the ratio of the adjacent side to the hypotenuse in a right-angled triangle. To find the sine of angle q, we need to use the Pythagorean trigonometric identity:

sin²(q) + cos²(q) = 1

We already know that cos(p) = 0.8, and since the sum of angles in a triangle is 180 degrees, we can find q:

q = 180 - p

Now, let's calculate sin(q):

sin²(q) + cos²(q) = 1

sin²(q) + (0.8)² = 1

sin²(q) = 1 - 0.64

sin²(q) = 0.36

Now, take the square root of both sides to find sin(q):

sin(q) = √0.36

sin(q) = 0.6

So, the sine of angle q is 0.6.

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(2 4/10 + 8 4/5) - 3 1/5

Answers

Answer:

it says use a calculater maybe if u used one it would help u out.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

You can first simplify each fraction, so the it would be (24/10 + 44/5) - 16/5. And then add what is in the parenthesis, 556/5, and then subtract 16/5 to get 8.

Which runs faster: a cheetah that can run 60 feet in 6 seconds or a gazelle that can run 100 feet in 10 seconds?

They run at the same speed.
A gazelle runs faster.
A cheetah runs faster.

Answers

Answer:

They run at the same speed

Step-by-step explanation:

First, you have to find a way seeing how fast both animals run in the same amount of time. You can find out how fast they both run in one second.

60 feet in 6 seconds is how many feet in one second? Well, you can do 60/6 (60 divided by 6) and you will see that in one second, the cheetah can run 10 feet

100 feet in 10 seconds is how many feet in one second? Same thing, you can do 100/10 (100 divided by 10) and you will see that the gazelle can run 10 feet in one second.

Finally, you compare the two answers from the two animals. For the cheetah, we learned that it can run 10 feet in one second, and for the gazelle, we learned that it can run 10 feet in one second. So, we know that they run at the same speed.

Thank you! Please let me know if this was helpful!

Answer:

Cheeta's speed = 10 feet per second

Gazelle's speed = 10 feet per second

Hence, They run at the same speed.

Step-by-step explanation:

Determining the Cheeta's speed:

Covered distance = 60 feet

Time taken = 6 seconds

Speed = Covered distance / Time taken

           = 60 / 6

           = 10 feet per second

Therefore, Cheeta's speed is 10 feet per second.

Determining the Gazelle's speed:

Covered distance = 100 feet

Time taken = 10 seconds

Speed = Covered distance / Time taken

           = 100 / 10

           = 10 feet per second

Therefore, Gazelle's speed is 10 feet per second.

Conclusion:

Cheeta's speed = 10 feet per second

Gazelle's speed = 10 feet per second

Hence, They run at the same speed.

3. Armen los siguientes prismas a partir de los que construyeron con su material recor
table. Después calculen el volumen de acuerdo con las dos formas que se indican
Prisma
Por et
en el fonda, near ty api
quen la foto da alisema cavab
en el fin de pana
tados con los de sus compañeros llegaron al misino resultado​

Answers

Answer:

can you translate to english

Step-by-step explanation:

I can't understand

The length of a rectangle is three inches more than four times the width. The perimeter of the rectangle is 56 inches. What is the width of the rectangle?​

Answers

Answer:

The width of the rectangle is 5 inches.

Step-by-step explanation:

Perimeter of a rectangle: 2L+2W where L=length and W=width

P=56

56=2(4W+3)+2W

56=8W+6+2W

56=8W+2W+6

56=10W+6

56-6=10W

50=10W

W=50/10=5

W=5

L=4W+3=4(5)+3=20+3=23

For the​ polynomial, x^3-13x^2+60x-100​, 5 is one of the zeros. Find all remaining zeros.

Answers

X= 5, 4 + 2i, 4 - 2i

I need help. This is due in the next hour. (ಥ﹏ಥ)

Answers

Answer: 420 dollars

Step-by-step explanation: the expression would be 495-75=m where m=420

I WILL MARK YOUR BRAINLY OR WHATEVER HELPPP
Challenge A large university accepts 70% of the students who apply. Of the students the
university accepts, 25% actually enroll. If 10,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)

Answers

Answer:

2500

Step-by-step explanation:

25% of 10 000= 2500

1750 students

70% of 10,000 applicants are accepted = 7000 accepted students
25% of accepted students enroll
0.25 x 7000 = 1750 enroll

what is the area of each triangle 24 ft 20 ft

Answers

ANSWER

Area of triangle = b*h/2

24*20/2

24*10

The area of this triangle is 240 ft squared

Hope it helps :)

9.1(3) + 8.7(4) = ?

Answers

Answer:

62.1

Step-by-step explanation:

PEMDAS!

9.1 * 3 = 27.3

8.7 * 4 = 34.8

27.3 + 34.8 = 62.1

Find the missing dimension of the triangle.
DETAILED EXPLANATION.

Answers

Answer:

1.75 in

Step-by-step explanation:

kyo na bhala dyan sa sgot

Answer:

[tex]h=2\frac{2}{3}in.[/tex]

Step-by-step explanation:

Formula

[tex]A=\frac{hb}{2}[/tex]

Equation

[tex]h=2\frac{A}{b}[/tex]

[tex]h=2(\frac{2}{1.5})[/tex]

[tex]h=2\frac{2}{3}[/tex]

Check

[tex]2\frac{2}{3}[/tex] · [tex]1\frac{1}{2}=4[/tex]

4 ÷ 2 = 2 in.²

NEED HELP MATH!!! 7TH GRADE

Answers

The scale drawing's measurements will be 1 inch by 0.8 inch.

The scale is 1 in: 10 feet; because the deck's real width is 10 ft, the scale can read 1 inch. To evaluate the width: 1/10 = x/8

Cross multiply:
1*8 = 10*x
8 = 10x


Divide both sides by 10:
8/10 = 10x/10
0.8 = x

The scale drawing's width would be 0.8 inches.

Which is the graph of f(x) = square root of x?

Answers

Answer:

b

Step-by-step explanation:

use demos online graphing calculator to check and for future graph problems

Joseph took out a loan from the bank to purchase a new car. The initial loan amount was for $25,000 with an interest rate of 3.5%. If Joseph takes 5 years to pay off the loan, what is the total amount he will have paid for the car?

Answers

3.5% • 5 = 17.5%

$25,000 • 17.5% = $437,500

i hope this is correct

I need help asap!!!!

Answers

Answer:

150

Step-by-step explanation:

Please help! I need as soon as possible.

Answers

Answer:

question 2: squareroot k

question 3: 2b/b^10

Step-by-step explanation:

q2:

using power rules, root k^3 = k^2/3

division of powers means subtraction, therefore k^2/3 -1 is your answer. which is k^1/2, which can also be written as root k

q3: same thing

name the angles.......

Answers

Answer:

1. SQ and VX

2. RT and UW

Step-by-step explanation:

An Interior Angle is an angle inside a shape

Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line.

solve each formula for the specified variable ​

Answers

Ax+By=C
Ax=C-By
x=(C-By)/A

For any positive integer n, prove that n^3-n is divisible by 6.please answer ​

Answers

Answer:

yes it is true

Step-by-step explanation:

if we take n=2 then

2°3-2=8-2=6

11 - 3X < 53
solve the inequalities

Answers

11 - 3x < 53

First, subtract 11 from both sides.

-3x < 42

Then divide -3 by both sides, and switch the sign.

x > -14

Answer:

It would be: x>-14

Step-by-step explanation:

I hope this helps you

There are 6 bookshelf's that hold 72 books per shelf. if 1/3 of the total number of books are non-fiction,how many fiction books are there.​

Answers

Answer:

288 fiction books

Step-by-step explanation:

If the other 2/3 are fiction, then I believe that you would multiply 72 by 6 then divide by 3 or multiply by 1/3 giving you 144. Multiply 144 by 2 and you should get 288, but this is if there are only fiction and non fiction. Sorry if this is wrong..

prove that 4 is a multiple of 2​

Answers

Answer: Look below=3 I hope this helps. Also please forgive me if it's wrong.

Step-by-step explanation: All multiples of 4 are also multiples of 2. This is because 4 is in the two times table and all multiples of 4 can be divided by 2. All multiples of 4 are even.

Graph the function.



f(x)=−sin(x)

Answers

Plot Points: (0,0) (1.57,-1)

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