Dan has £100. Colin takes £. How much is left

The average rate of change over an interval is the same as the slope between those two values.  The formulate for slope is:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

You are given the x values: x2=3 and x1=-9.  Plug in these x values to g(x) find the y values:

g(3)=3^2+5(3)-2=9+15-2=22

g(-9)=(-9)^2+5(-9)-2=81-45-2=34

Now, you can solve for m:

m=(22-34)/(3--9)

m=-12/12

m=1

Hope this helps!!

the  average rate of change of the function over the interval -9 ≤ x ≤ 3​ is -1

The average rate is the change of expression with respect to time.

Given the expression g(x)=x^2+5x-2 within the interval -9 ≤ x ≤ 3​

At the lower interval x = -9

g(-9) = (-9)²+5(-9)-2

g(-9)= 81-45-2

g(-9) = 34

At the upper interval x = 3

g(3) = (3)²+5(3)-2

g(3)= 9+15-2

g(3) = 22

The average change of the function will be expressed as:

[tex]\frac{\triangle y}{\triangle x} =\dfrac{g(b)-g(a)}{b-a}\\ \frac{\triangle y}{\triangle x} =\dfrac{g(3)-g(-9)}{3-(-9)}\\\frac{\triangle y}{\triangle x} =\dfrac{22-34}{12}\\\\\frac{\triangle y}{\triangle x} =\dfrac{-12}{12} \\\frac{\triangle y}{\triangle x} =-1[/tex]

Hence the  average rate of change of the function over the interval -9 ≤ x ≤ 3​ is -1

Learn more here: https://brainly.com/question/7590674

Answer:

x = 90 degrees and y = 43 degrees

Step-by-step explanation:

We have an isosceles triangle here, since the length of AB equals the length of AC.

That also means that angle ABC equals angle ACD = 47 degrees.

The sum of the interior angles of a triangle equals 180.

47 + 47 + 2y = 180

94 + 2y = 180

2y = 86

y = 43 degrees

x + 43 + 47 = 180

x + 90 = 180

x = 90

Answer:

About 19.8

Step-by-step explanation:

First find the side lengths. In this example, 56/4=14

Next use the Pythagorean theorem, to us it, here's the formula a squared plus b squared equals c squared. For this example use 14 squared plus 14 squared which equals 392.

Finally take the square root of 392 because we still need to take the squared out in c. The square root of 392 rounded to the nearest tenth is 19.8.

Answer:

1,908

Step-by-step explanation:

Answer:

12-foot shadow

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

sorry if im wrong

Answer:

D. all real numbers

Answer:

f^-1(x) = (x+2)/3

Step-by-step explanation:

F(x) = 3x-2

substitute x for y, and f(x) for x:  x = 3y - 2

Solve for y:  x + 2 = 3y

y = f^-1(x) = (x+2)/3

Answer:

Most likely D, not sure if I am correct, this might not help

Step-by-step explanation:

In order to find the inverse of an equation, we first swap x and y. Then, we solve for y in the new equation.

[tex]y=x^2-5\\x=y^2-5\\x+5=y^2\\±\sqrt{x+5} =y[/tex]

Ignore the A with a caret above it in the front, I don't know why it is there. I am not sure if I am correct, as I have only just completed Algebra 1 so I do not have good knowledge on mathematics.

Answer:

Step-by-step explanation:

The slope of a line can be calculated:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\[/tex]

We know that the slope is 7, so we want to solve for [tex]y_2[/tex]

[tex]\frac{n-(-4)}{5-4} = 7\\\frac{n+4}{1} = 7\\n+4 = 7\\n = 3[/tex]

Answer:

4n r+

Step-by-step explanation:

Try using calculator cause I seen this before.

Answer:

A

Step-by-step explanation:

Answer:

The answer is

A.6

Answer:

Step-by-step explanation:

my guessing skills be like y=-3x+1

Answer:

The mode is 7

Step-by-step explanation:

Answer:

Sometimes people feel the need to post answers without work. I am greatly saddened by this, or just post answers for the points.

Step-by-step explanation:

I'm going to help, however!

Ok, the mode is the number that appears the most in the data set.

Let's organize this chaos, first. (I hated stats in middle school and elementary.)

6,7,8,9,10,6,7,10,7,6,7,9,7,6

Its best to organize it before finding it!

6,6,6,6,7,7,7,7,7,8,9,9,10,10.

Sevens are most numerous in this data set, with 5 7's!

There's your mode.

Hope this helps!

Answer: C is no and the others are yes.

Step-by-step explanation:

Answer:

it is (8;1)

Step-by-step explanation:

Answer:

(8, 1)

Step-by-step explanation:

When a point undergoes a reflection across the y-axis, it follows the following transformation:

(x, y) --> (-x, y)

(8, 1) --> (-8, 1)

Answer:

Priya

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1st way: We can find the slope of the line by plugging the two points into the slope formula. If you do, slope would be (-3/2-3/2)/(-3/2-3/2) which simplifies to -3/-3 which is 1. The slope is 1.

2nd way: You can just use logic to figure it out because since the x and y in both of the points are equal to each other, we know that the slope has to be 1.

Answer:

It is 1. You would put one in the positive section of the line graph, and put 1 in the negative section of the line graph.  ≥ × ≤`

Step-by-step explanation:

≥ × ≤`

Answer:

Steps:

4x - 6 = 34

Add 6 to both sides

4x - 6 + 6 = 34 + 6

Simplify:

4x = 40

Divide both sides by 4

4x/4 = 40/4

Simplify:

x = 10

==============================================

Explanation:

I'm assuming you meant to type out

(y-2)^2 = y^2-6y+4

This equation is not true for all real numbers because the left hand side expands out like so

(y-2)^2

(y-2)(y-2)

x(y-2) .... let x = y-2

xy-2x

y(x)-2(x)

y(y-2)-2(y-2) ... replace x with y-2

y^2-2y-2y+4

y^2-4y+4

So if the claim was (y-2)^2 = y^2-4y+4, then the claim would be true. However, the right hand side we're given doesn't match up with y^2-4y+4

--------------------------

Another approach is to pick some y value such as y = 2 to find that

(y-2)^2 = y^2-6y+4

(2-2)^2 = 2^2 - 6(2) + 4 .... plug in y = 2

0^2 = 2^2 - 6(2) + 4

0 = 4 - 6(2) + 4

0 = 4 - 12 + 4

0 = -4

We get a false statement. This is one counterexample showing the given equation is not true for all values of y.

Answer:

fr

Step-by-step explanation:

Answer:

102 degrees

Step-by-step explanation:

Since the two angles are same side interior that would mean they sum up to 180 degrees.

180-78=102 degrees

hoped this helped :)

Answer:

nhi pta... pdhai dhang se kiya kro

Answer:

10 squared

Step-by-step explanation:

Answer: 52

Step-by-step explanation:

6*6 = 36 4*4 = 16

36+16=52

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{(x + 7^2) = 169}[/tex]

[tex]\mathsf{x + 7^2 = 169}[/tex]

[tex]\mathsf{x + 7\times 7 = 169}[/tex]

[tex]\mathsf{x + 49 = 169}[/tex]

[tex]\text{Subtract 49 to both sides}\downarrow[/tex]

[tex]\mathsf{x + 49 - 49 = 169 - 49}[/tex]

[tex]\text{Simplify it}\downarrow[/tex]

[tex]\mathsf{x = 169 - 49}[/tex]

[tex]\mathsf{x = 120}[/tex]

[tex]\large\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf x = \frak{120}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

A.

Step-by-step explanation:

Answer:

The answer is the first option.

Step-by-step explanation: