Which function is the inverse of f(x) = 2x + 3
o f(x) = - 1 / 2 x - 3/2
o f(x) = 1/2 x -3/2
o f(x) = -2x+3
O f(x)=-2x+3

Answer:

(1, 6) is the solution

Step-by-step explanation:

-2x + 6y = 34

2x + 2y = 14;     divide by 2

x + y = 7;        subtract x

y = 7 - x

let's substitute y with 7 - x in first equation

-2x + 6*(7 - x) = 34;    expand multiplication

-2x + 6*7 - 6*x = 34;    group

-8x + 42 = 34;         subtract 42

-8x = 34 - 42 = -8;      divide by -8

x = 1

y = 7 - 1 = 6

It is the only solution, as we've arrived at exact numbers.

Given:

Consider the given function is:

[tex]f(x)=x^2-8x+13[/tex]

To find:

The average rate of change of the function over the interval [tex]-1\leq x\leq 6[/tex].

Solution:

The average rate of change of the function f(x) over the interval [a,b] is:

[tex]m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

We have,

[tex]f(x)=x^2-8x+13[/tex]

At [tex]x=-1[/tex],

[tex]f(-1)=(-1)^2-8(-1)+13[/tex]

[tex]f(-1)=1+8+13[/tex]

[tex]f(-1)=22[/tex]

At [tex]x=6[/tex],

[tex]f(6)=(6)^2-8(6)+13[/tex]

[tex]f(6)=36-48+13[/tex]

[tex]f(6)=1[/tex]

Now, the average rate of change of the function f(x) over the interval [tex]-1\leq x\leq 6[/tex] is:

[tex]m=\dfrac{f(6)-f(-1)}{6-(-1)}[/tex]

[tex]m=\dfrac{1-22}{7}[/tex]

[tex]m=\dfrac{-21}{7}[/tex]

[tex]m=-3[/tex]

Therefore, the average rate of change of the function f(x) over the interval [tex]-1\leq x\leq 6[/tex] is -3.

Answer:

144

Step-by-step explanation:

sorry if im wrong its been awhile since ive done this

Answer:

6 | 3

30 | 15

40 | 20

56 | 28

Step-by-step explanation:

You need to find out how many spring rolls will feed a single person

[tex]\frac{6}{3}=2[/tex]

then use this to multiply by two if you want number of rolls, or divide by two if you want to get number of people that can be fed.

Answer:

(x − 10)(x + 2)

Step-by-step explanation:

i just took the test and thats the right answer:)

126

Step-by-step explanation:

hdhfgdhdgdhdhrgdgdgdhdgdhdhdh

Answer:

300

Step-by-step explanation:

25×8= 200 spent

500-200=300 left

Answer:

=> $300

Step-by-step explanation:

here's your solution

=> Amount of money Trent has = $500

=> Amount spent by him in one week = $25

=> Amount left with him after 8 weeks =

= $500 - ($25*8)

=> $500 - $200

=> Amount left = $300

hope it helps

Answer:

12

Step-by-step explanation:

Answer:

9 kids tickets

Step-by-step explanation:

Let k = no. of kid's tickets

12 - k = no. of adult's tickets

9.50(12 - k) + 6.50k = 87

95(12 - k + 65k = 870

1140- 95k + 65k = 870

- 30k = -270

k = 9 kids

Answer:

The answer is B.

Step-by-step explanation:

As you can see, box plot A is symmetrical so that applies to answers A and B. However, box B is very skewed to the right which makes it positively skewed so answer B is the only one that matches the correct description of the two box and whisker plots.

We can conclude that the distribution for town A is symmetric, but the distribution for town B is positively skewed.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

The distribution for town A is symmetric, but the distribution for town B is positively skewed.

We can determine the skewness of the distributions by comparing the position of the median with respect to the quartiles.

In town A,

The median (30) is located at the center of the box, and the first and third quartiles (20 and 40, respectively are equidistant from the median.

This indicates a symmetric distribution.

In town B,

The first and third quartiles (20 and 30, respectively) are closer to the median (25) on the left-hand side of the box than on the right-hand side. This indicates a positively skewed distribution.

Therefore,

We can conclude that the distribution for town A is symmetric, but the distribution for town B is positively skewed.

Learn more about the interquartile range here:

https://brainly.com/question/29204101

#SPJ7

Answer:T he bird will land at a radios of 20 feet in th air.

Step-by-step explanation: The object is falling 380 feet out of the air out of 400.

Answer:

A. there must be a vertical asymptote at x=c

Step-by-step explanation:

Answer: A

Step-by-step explanation:

got it right edge 2022

Question is incomplete :

It costs $4 to go to the swimming pool

The cost of n visits =

Membership at the pool costs $21. Members pay $3 each time. WHAT is The cost for a member to swim including membership fee?

What is the difference between the cost of 15 visits with and without a membership?

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Swimming cost = $4

Cost of swimming n Times = cost per swim * number of swims

= $4 * n

= $4n

Membership cost = $21

Cost per swim for members = $3

Swimming cost including membership fee :

21 + 3n ; n = number of visits

For 15 visits ; n = 15

Amount paid :

Members = 21 + 3(15) = 21 + 45 = $66

Non - Member = 4(15) = 60

Difference :

$66 - 60 = 6

Members incur $6 more than non - members

Answer:

Step-by-step explanation:

See ratios and step changes below

Answer:

X=10

Y=-2

Step-by-step explanation: The value of X is given therefore you use it to find the value of Y in the equation:

3(10)+5y=20

5y=20-30

5y=-10

5y/5=-10/5

5 is cancelled out leaving y=-2

I hope this helps. :)

Answer:

Step-by-step explanation:

Sorry I didn't mean to do that.

Answer:

bro its 24

Step-by-step explanation:

Answer:

it is the first one

Step-by-step explanation:

if right give brainliest

Answer:

121.21 people per square mile

Step-by-step explanation:

area = 1/2(12 + 21)(14) = 231 mi²

28,000/231 = 121.21 people per square mile

Answer:

Step-by-step explanation:

One clue about where to start is this: the sentence describes the length by referring to the width. "The LENGTH is blah, blah, blah, the WIDTH. When that happens, choose a variable to represent the width (the quantity being referred to).

Width = w

Length IS three more than (added to) 4 times (multiplied by) the width

Length = 4w + 3

Area of a rectangle is the width multiplied by the length.

Equation: w(4w + 3) = 24

Solve.

Multiply out the left side.

4w^2 + 3w = 24

Subtract 24.

4w^2 + 3w -24 =0

This equation does not factor. Use the Quadratic Formula. One of the solutions is a negative number, so that should be rejected (width can't be a negative number).

[tex]w=\frac{-3+\sqrt{393}}{8}[/tex]

Substitute this into the expression 4w + 3 to find the length. A calculator can give you decimals for both dimensions.

Answer:

D) 36π[tex]a^6b^9[/tex]

Step-by-step explanation:

Volume of a sphere:

V = 4/3πr³

Given:

r = 3a²b³

Work:

V = 4/3πr³

V = 4/3π(3a²b³)³

V = 4/3π(27[tex]a^6b^9[/tex])

V = 36π[tex]a^6b^9[/tex]

Answer:

26.56300     1.97700

Step-by-step explanation:

You add up all of them which was 26.5630 then you do 7.1-5.123+1.97700

Answer:

Step-by-step explanation:

Given,

Distance Noah ran = 5.123 miles

Distance Andre ran = 6.34 miles

Distance Jada ran = 7.1 miles

Distance Diego ran = 8 miles

Hence,

a. Total running distance of four runners

= (5.123 + 6.34 + 7.1 + 8) miles

= 26.563 miles (Ans)

b. Distance more ran by Jada than Noah

= (7.1 - 5.123) miles

= 1.977 miles (Ans)

Answer:

There are two colors and 8 numbers.

One color is represented by 3 numbers 2, 3, 7

The second color is represented by 5 numbers 1, 4, 5, 6, 8

Answer:

C(t) = 0.55t + 7.75, $30.85

Step-by-step explanation:

the fixed cost is $7.75. this is the cost incurred at zero minutes of the taxi ride

the variable cost or the cost per minutes driven =

(13.25 - 7.77) / (10 - 0) = 0.55

total cost = 7.75 + 0.55t

cost of 42 minutes = 7.75 + 0.55(42) = $30.85

Answer:

7:00pm

Step-by-step explanation:

w(t) tells you the amount of water w at a given time t.

The inverse function tells you at which time t the tank contains an amount of water w.

To get the inverse function, solve the equation

w = 80 - 2.8t

for t :

w = 80 - 2.8t

2.8t = 80 - w

t = (80 - w) / 2.8

t ≈ 28.57 - 0.357 w

The graph of w(t) is a downward-sloping line. The graph of the inverse is also a downward-sloping line, but its intercept (28.57) and slope (-0.357) are both smaller than the intercept and slope of w(t).