Help- please and show work!

Given:

The function is

[tex]f(x)=-x^2-5x+12[/tex]

To find:

The average rate of change of the function over the interval −5 ≤ x ≤ 4.

Solution:

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

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

Putting x=-5 in the given function, we get

[tex]f(-5)=-(-5)^2-5(-5)+12[/tex]

[tex]f(-5)=-25+25+12[/tex]

[tex]f(-5)=12[/tex]

Putting x=4 in the given function, we get

[tex]f(4)=-(4)^2-5(4)+12[/tex]

[tex]f(4)=-16-20+12[/tex]

[tex]f(4)=-24[/tex]

Now, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is

[tex]m=\dfrac{f(4)-f(-5)}{4-(-5)}[/tex]

[tex]m=\dfrac{-24-12}{4+5}[/tex]

[tex]m=\dfrac{-36}{9}[/tex]

[tex]m=-4[/tex]

Therefore, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is -4.

Ryan is 22 years old.

What is the system of equations?

A system of equations is a collection of one or more equations that are considered together. The system can consist of linear or nonlinear equations and may have one or more variables. The solution to a system of equations is the set of values that satisfy all of the equations in the system simultaneously.

Let's use the given information to set up a system of equations to solve for Ryan's age.

We know that Ryan's age, y, is twice Chaise's age, x, so we can write:

y = 2x (Equation 1)

We also know that Ryan is 11 years older than Chaise, so we can write:

y = x + 11 (Equation 2)

Now we can substitute Equation 1 into Equation 2:

2x = x + 11

Simplifying, we get:

x = 11

So Chaise is 11 years old.

To find Ryan's age, we can use either Equation 1 or Equation 2. Let's use Equation 2:

y = x + 11

y = 11 + 11

y = 22

Therefore, Ryan is 22 years old.

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Answer:

The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, the unknowns or unknown variables are:

x: number of $ 0.45 comic books

y: number of $ 0.75 comic books

Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack.  Then the equation that represents this situation is:

x*0.45 + y*0.75= 9

On the other side, the number of $0.45 comic books is 4 more than the number of $0.75 comic books.  Then the equation that represents this situation is:

x+4=y

The system of equations to solve is:

[tex]\left \{ {{x*0.45+y*0.75=9} \atop {x+4=y}} \right.[/tex]

One way to solve a system of equations is the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the next.

In this case we directly replace the expression of the variable and of the second equation in the first:

x*0.45 + (x+4)*0.75= 9

Solving:

x*0.45 + 0.75*x + 4*0.75= 9

1.2*x + 3=9

1.2*x= 9-3

1.2*x= 6

x= 6÷ 1.2

x=5

Replacing this value in the expression x+4=y you get:

5 +4=y

9=y

The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books

thirteen states share a border w canada

There are 20 states that share the border with Canada.

Subtraction is a mathematical operation. Which is used to remove terms or objects in the expression.

Given:

There are 50 U.S. states.

Seven twenty-fifths of the state share a land border with Canada or Mexico.

That means,

7[tex]\frac{20}{5}[/tex]

= 7 x 4

= 28

a number of 28 states share the border with Canada or Mexico.

Of those 2/7 share a border with Mexico,

that means, the number of,

= 28 - 28 x 2/7

= 28 - (4 x 2)

= 28 - 8

= 20 states share the border with Mexico.

Therefore, the required number is 20.

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Step-by-step explanation:

so do you have building blocks cuz you use it and then after you do that you get the cue that has an eight on it and then you would keep on adding on and then that would be the answer

Answer:

512.

Step-by-step explanation:

8 cubed is the same as 8 to the third power.

We usually use other ways to represent certain number to the power to help make equations easier and write less so,

instead of saying: 2 to the second power; we say 2 squared.

Instead of saying 2 to the third power; we say 2 cubed.

The number 2 was used just as example, it could be any number.

so 8 cubed = 8 to the third power so,

8 cubed = [tex]8^{3}[/tex] = 8x8x8 = 512

Answer:

Is B

Step-by-step explanation:

It's B because you use cups with the tablespoons to find the answer. 2 is cups, and it's on the numerator, and 1.5 is cups. It would have to be a numerator since you would only use denominators to plug in the value of tablespoons in the equation. v would be the denominator with 1.5 as the numerator since we are trying to find v with 1.5, so 1.5 has to be in the same fraction.

Hope this helps!

Answer:

15x - 70 = 500

Step-by-step explanation:

[tex]\color{plum}\tt(B) \: segment \: \: MA \: ≅ \: segment \: SA[/tex]

Which means, the following are the corresponding(equal/similar) parts :

Thus, the statement (B) is false because there is no evidence to prove that segment MA ≅ segment SA.

Therefore, the correct option is - (B) segment MA ≅ segment SA

Answer: Your answer will be Option three

Step-by-step explanation: Because she ate 1/3 the rest of the cake.

Have a brilliant day- your friend Lily ^_^

Answer:

12x-2

Step-by-step explanation:

-4(-3x - 8) - 34

distribute

12x+32-34

add like terms

12x-2

Answer:

[tex]12x-2[/tex]

Step-by-step explanation:

[tex]-4(-3x-8)-34[/tex] (Distribute the -4)

[tex]12x+32-34[/tex] (Subtract)

[tex]12x-2[/tex]

And if you want to find x.

[tex]12x-2=0[/tex] (Add 2 on both sides)

[tex]12x=2[/tex] (Divide by 12 on both sides)

[tex]x=\frac{2}{12}= \frac{1}{6}[/tex]

Answer:

p+1.50=b

Step-by-step explanation:

Hope it helps (;

Answer:

haha

Step-by-step explanation:

Where is the rectangle below? I cant see any attached pictures or any other info. How am I supposed to solve this?

Would be appreciated if you put a screenshot so that I can see the question and answer the problem correctly.

Answer:

4.

Step-by-step explanation:

There are 18 squares, if you want to shade 2/9 you have to make the denominator, which is 9 into 18, so you multiply by 2, you will do the same thing to the numerator, 2x2=4 9x2=18.

Brainiest would be appreciated.

There are 4 squares that would have to be shaded so that 2/9 of the shape is shaded.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

We have to determine the number of squares that would have to be shaded so that 2/9 of the shape is shaded

According to the given figure,

There are 3 rows and 6 columns of squares

So the number of squares would be 3 × 6 = 18

There are 18 squares, therefore if you want to shade 2/9, you must first divide the denominator, which is 9 into 18, by 2, and then multiply by 2.

If 2/9 of the shape is shaded: 18 × 2/9 ⇒ 36/9 = 4

Hence, there are 4 squares that would have to be shaded so that 2/9 of the shape is shaded.

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Answer:

a=542

Step-by-step explanation:

you welcome have a good day

Answer:

the answer will be a=524

Step-by-step explanation:

Answer:

x=5y-35

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

EDGE2021!! since the actual probability is smaller than .05, we have evidence against the acting school claiming that 71% of its graduates land major acting roles within one year of graduation.

Answer:

she wake up at 8:00 AM

Step-by-step explanation:

The time she should wake up is

If she takes 1 hour and 25 minutes for shower & dress

25 minutes for breakfast

30 minutes to drive

So total time she takes 140 minutes i.e. 2 hours 20 minutes

So she wake up at 8:00 AM

The same would be considered

Answer: 8:00 am

Step-by-step explanation: first you take 10:20 am, then you subtract 30min. then 25min. then an 1:25 you get 8:00am.

Answer:

y=2x−5 is a line

Step-by-step explanation:

Explanation: y=2x−3 is in slope intercept form for a linear equation, y=mx+b , where m is the slope and b is the y-intercept. The y-intercept is the point at which x=0 and y=−3 , which is point (0,−3) You can plot this point on your graph.

Answer:

you can answer it like 15 to 3 or

15:3

Answer:

1.  A

2.  A

you just have to distribute and add the x's and other numbers together

Answer:

Step-by-step explanation:

1.A

2.A

Answer:

It's the third one!!

Step-by-step explanation:

grs

Answer:

i'm gonna go with A. f(x) = 4x + 3

Step-by-step explanation:

i hope this is the right answer.. i can't find this answer anywhere.. i can't remember the answer from a week ago :(

Answer:

well its a

Step-by-step explanation:

its a c and d

Answer:

3 & 4

hope this helps :)

Answer:

(x+10)(x-10)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

M,q 14,4

The value of q in the system of equations 2m-5q=8 and 4m+2q=64 is 4 thus option (A) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given system of equations,

2m-5q=8

4m+2q=64

Multiply by 2 into the equation 2m - 5q = 8

4m - 10q = 16

Subtract 4m - 10q = 16 by 4m+2q=64

-10 - 2q = 16 - 64

-12q = -48

q = 4

Hence"The value of q in the system of equations 2m-5q=8 and 4m+2q=64 is 4".

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Answer:

96

Step-by-step explanation: