PLEASEEEEEEEEEE HELPPPPPPPPPPPPP

Given:

The function is:

[tex]f(x)=x^2-16[/tex]

To find:

The inverse of the function.

Solution:

We have,

[tex]f(x)=x^2-16[/tex]

Step 1: Substitute [tex]f(x)=y[/tex].

[tex]y=x^2-16[/tex]

Step 2: Interchange x and y.

[tex]x=y^2-16[/tex]

Step 3: Isolate y.

[tex]x+16=y^2[/tex]

[tex]\pm \sqrt{x+16}=y[/tex]

[tex]y=\pm \sqrt{x+16}[/tex]

Step 4: Substitute [tex]y=f^{-1}(x)[/tex].

[tex]f^{-1}(x)=\pm \sqrt{x+16}[/tex]

Therefore, the inverse function of the given function is [tex]f^{-1}(x)=\pm \sqrt{x+16}[/tex].

Answer:

15 ÷ 17

Step-by-step explanation:

Since our hypotenuse side is 17 cm, our opposite side is 8 cm and our adjacent side is 15 cm. Since the acute angle is x degrees,

From trigonometric ratios, cosx° = adjacent/hypotenuse

= 15 cm/17 cm

= 15/17

= 15 ÷ 17

Answer: Simplifying

Step-by-step explanation:

Simplifying

4x + 6y = 12

Solving

4x + 6y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.

4x + 6y + -6y = 12 + -6y

Combine like terms: 6y + -6y = 0

4x + 0 = 12 + -6y

4x = 12 + -6y

Divide each side by '4'.

x = 3 + -1.5y

Simplifying

x = 3 + -1.5y

Then you get your answer I think or hopeful get your answer. I hoped this helped!

Answer:

I can't able to understand this question plz check this question if it is right or not

Answer:

See below.

Step-by-step explanation:

y^2 - 6y + 9 can be changed correctly into y^2 - 2(y)(3) + 3^2.

Up to here, it's correct.

The right side above shows a polynomial that is the square of a binomial.

It factors into (y - 3)^2.

The correct factorization is (y - 3)^2.

The incorrect factorization of the student's solution is the product of a sum and difference.

The product of a sum and a difference is the correct factorization for a difference of squares.

For example, y^2 - 9 is the same as y^2 - 3^2 and is a difference of squares.

It factors into (y + 3)(y - 3), a product of a sum and a difference.

Answer:

Minimum: (2,4)

Step-by-step explanation:

h(x)=3([tex]x^{2}[/tex]-4x)+16

=3([tex]x^{2}[/tex]-4x+4-4)+16   (- For the balance of equation, and attention 1)

=3[tex](x-2)^{2}[/tex]-3*4+16

=3[tex](x-2)^{2}[/tex]+4

1. [tex](a-b)^{2}=a^{2} -2ab+b^{2}[/tex]

2. The formula for the vertex form is y = [tex]a(x-h)^{2}+k[/tex], the vertex is (h,k)

Answer:

C. 12

hope they help

first mile $2.25 plus $3.50 ×12= $42.00+2.25=44.25

Answer:

the first one

Step-by-step explanation:

Answer:

B. 525 L

Step-by-step explanation:

Answer:

7aabbbjdkdbdjdkxbsks n sbs

Answer:

The highest temperature was 33C warmer  than the lowest temperature.

Step-by-step explanation:

In order to find how many degrees warmer was the highest temperature, you have to calculate the difference between both temperatures:

23-(-10)

According to the sign rule, you have to change the subtraction sign  to addition and then, change the sign on the umber after that and add the numbers, which is:

23+10=33

According to this, the answer is that the highest temperature was 33C warmer  than the lowest temperature.

Answer:

6(2x+3)

Step-by-step explanation:

There's really no way to explain this. Take the number that all of the numbers in the equation can be divisible by and then single it out and then yeah.

Hope this helped! :)

Answer:

A is incorrect!  B. should be the correct answer

Step-by-step explanation

After some research, i found that the correct answer is most likely B.  a regression line and trend line are equivalent terms

A trendline and a regression can be the same.

A regression line is based upon the best fitting curve Y= a + bX Most often it’s a least-squares fit (where the squared distances from the points to the line (along the Y-axis) is minimized).

It can be quadratic or logistic or otherwise, but most often it is linear.

A trendline is often constructed by smoothing of the results, making it less peaked. (often by using a moving average); but can also come from ARIMA projections or curve fitting techniques (such as regression).

Let me know if i helped you!

The statement that is true about a trend line is B. A regression line and trend line are equivalent terms.

It should be noted that the trend line doesn't represent only the largest data points. It can also represent the smallest data points.

The regression line and the trend line are not opposite terms but rather, the regression line and trend line are equivalent terms.

In conclusion, the correct option is B.

Read related link on:

https://brainly.com/question/20937091

Answer:

im guessing 6 is your base and your height is 15 3/4.

Formula of a triangle we must remember:

BH x 1/2 (basically dividing by 2)

94.5 (fraction form will be: 94 1/2)

94.5 divided by 2 = 47.25 <---------- decimal form

94 1/2 divided by 2 = 47 1/4 <------- fraction form

Answer:

100in

Step-by-step explanation:

1/2 *10*5=25

4(25)=100

The probability that the next student he sees will be a boy with brown eyes is 25%. All of them are the exact same so 100 divided by 4 is 25.

Answer:

One

Step-by-step explanation:

3x-5=-3 add 5 to each side.

3x-5+5=-3+5   simplify.

3x=2       divide each side by three.

3x/3=2/3     simplify

x=2/3

Answer:

One on the left = -1

One on the right = 1/3

Step-by-step explanation:

[tex]slope=\frac{rise}{run}[/tex]

One on the left = [tex]\frac{-3}{3} =-1[/tex]

One on the right = [tex]\frac{1}{3} =\frac{1}{3}[/tex]

The gradient of the first line and the second line will be 1 and 1/3, respectively.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

The gradient of the first line is given as,

m = 3 / 3

m = 1

The gradient of the second line is given as,

m = 1 / 3

The gradient of the first line and the second line will be 1 and 1/3, respectively.

More about the slope link is given below.

https://brainly.com/question/3605446

#SPJ2

Answer:

5/8m-3/8

Step-by-step explanation:

thats prolly it

Answer:

Step-by-step explanation:

This is the equation of a circle with center at (-4, 6) and radius 4√3.

Answer: 52 1/2 inches. Draw a vertical line up from the 20 week marker and where that line intersects the slanted red line and. Then take a straight edge and draw a line parallel to the "week" line on the bottom of the graph from the intersection to intersect the height line. Where the second line crosses the height line that number is the height of the plant at 20 weeks.

Answer:

The answer is A, C, and D

The graph should be 7 units for x and 2 units for y.

Step-by-step explanation:

Full Question: Graph y = 2/7x

Look at attachment:

Hope this helps! :)

The graph of the linear function y = (2/7)x will be given below.

The collection of all coordinates in the planar of the format [x, f(x)] that make up a variable function's graph.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The function is given below.

y = (2/7)x

Compare the function with standard equation of the line,

Then the slope of the function is 2/7 and the y-intercept is zero, that means the line is passing through origin.

Then the graph of the linear function y = (2/7)x will be given below.

More about the graph of the function link is given below.

https://brainly.com/question/9834848

#SPJ2

Answer:

a. ∆ABC ~ ∆A'B'C'

b. Enlargement

c. Scale factor = 4

Step-by-step explanation:

a. <A corresponds to <A'

<B corresponds to <B'

<C corresponds to <C',

Therefore, the similarity statement would be: ∆ABC ~ ∆A'B'C'

b. The image of the dilation is an enlargement of the original figure because the side lengths of ∆A'B'C are larger than the corresponding side lengths of ∆ABC.

c. Scale factor = the ratio of the corresponding sides

Thus:

Scale factor = A'B'/AB = B'C'/BC = A'C'/AC

Scale factor = 24/6 = 48/12 = 60/15 = 4

Scale factor = 4

SA= 2 (4)(5) + 2(5)(9) + 2(4)(9)

SA= 202in^2

If the box contains confetti, how much cubic inches of confetti are needed to fill the box?

V= lwh

= 4*5*9

= 180 in^3

Answer:

0.3334 ft

Step-by-step explanation:

Measure the height and radius of the tank. The radius is the distance from the center of the tank to its outer edge. Another way to find the radius is to divide the diameter, or width, by two. Square the radius by multiplying the radius times itself and then multiply it by 3.1416, which is the constant pi.

Answer

i think the answer is c but i dont know good luck

Step-by-step explanation:

Answer: A

m<8 and m>-8

Answer:

A

Step-by-step explanation:

m will already be less than 8 if it is positive, and if m is actually negative, the absolute value will be positive anyways. that being said, the second value is greater than -8.