Given the function g ( x ) = x 2 + 10 x + 20 g(x)=x 2 +10x+20, determine the average rate of change of the function over the interval − 9 ≤ x ≤ − 3 −9≤x≤−3.

The value of x is -(5 + 3√2).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

7- 3√2-x=12

Now solving

7- 3√2-x=12

Subtract 7 from both side

7- 3√2-x - 7 =12 - 7

- 3√2-x = 5

Now, add 3√2 both side

-3√2 -x + 3√2 = 5 + 3√2

-x= 5 + 3√2

x= -(5 + 3√2)

Hence, the value x is -(5 + 3√2).

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Answer:

x=45

Step-by-step explanation:

2(45)=90

90/2=90/2

Answer:

option 3 left bottom corner

Step-by-step explanation:

Answer:

B) 5.52 * [tex]10^{-4}[/tex]

Step-by-step explanation:

[tex]9.14*10^{-7} = x * (1.656*10^{-3})\\ \\x = \frac{9.14*10^{-7}}{1.656*10^{-3}}\\\\ = 5.5193236 * 10^{-4}[/tex]

5.52 * 10^-4

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Answer:

What can I do for you?

Step-by-step explanation:

Answer:

y = 1.5x + 9  

(y = height; x = number of cups)

Step-by-step explanation:

let x = number of cups

let y = height of the stack

the first cup will add 9 to the height (7.5 + 1.5)

so 9 is the y-intercept

for each additional cup, 1.5 will be added

so y = 1.5x + 9

Answer:

Your square would be 64.

Step-by-step explanation:

If you think about if 8 is a square root of a number, the answer is yes. It's 64. When you multiply numbers by themselves, such as 2*2, or 8*8, you get their square. In this case, 8*8 is equal to 64.  I hope this helps you. : )

Answer:

3 ballons

Step-by-step explanation:

47-35=12

4x3=12

Answer:

the answer is -1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

The input value for which f(x) = g(x) is true is -1

The formula for calculating the equation of a line is expressed as:

m is the slope

b is the y-intercept

For table 1,

Get the slope:

Use the coordinate (-2, 3) and m = 0 to get the value of "b"

The required function for table 1 is f(x) = 3

For table 2:

Get the slope:  

Use the coordinate (-2, 4) and m = -1 to get the value of "b"

The required function for table 2 is g(x) = -x + 2

If the function f(x) = g(x), hence:

-x + 2 = 3

-x = 3 - 2

-x = 1

x = -1

Hence the input value for which f(x) = g(x) is true is -1

61.69

hope this helps

Answer:

if ever po na dimo nakita yan dito ayan po yung answer

Answer:

(x - 7)(x - 4)(x + 4).            

Step-by-step explanation:

A(x) = x3 – 7x² – 16x +112

Dividing by x-7:

      x^2  - 16               <-------- Quotient

     -----------------------------

x-7)x^3 - 7x^2 - 16x + 112

     x^3 - 7x^2

                    0 - 16x + 112

                        - 16x + 112

                          ..............

so A(x) = (x - 7)(x^2 - 16)       x^2 - 16 is the difference of 2 squares so we have:

(x - 7)(x - 4)(x + 4).

Checking by expanding the brackets:  

(x - 7)(x - 4)(x + 4)

= x(x - 4)(x + 4) - 7(x - 4)(x + 4)

= x(x^2 - 16) - 7(x^2 - 16)

= x^3 - 16x - 7x^2 + 114

= x^3 - 7x^2 - 16x + 112          

Answer:

Texas road house

15 dollars

Step-by-step explanation:

Answer:

Tim's with a y-intercept of $2,780

Step-by-step explanation:

To find Paul's y-intercept, solve the equation y-1400=56(x+26) for y. Then use the standard format for a linear equation y=mx+b to determine the y-intercept which would be b.

Step 1. Get y by itself by adding 1,400 to both sides.

y-1400 + 1400 = y

56(x+26) + 1400 = 56(x+26) + 1400

New equation y = 56(x+26) + 1400

Step 2. Distribute 56(x+26)

56(x+26) = 56 * x + 56 * 26 = 56x + 1456

New equation y = 56x + 1456 + 1400

Step 3. Simplify.

y = 56x + 2856

Paul's y-intercept would be 2856 because when y=0 x=2856

To Find Tim's y-intercept, subtract 225 * 8 from 4580.

225 * 8 = 1800

4580 - 1800 = 2780

Answer:D or answer 4 or 2,780 dollars.

Step-by-step explanation:

test

Answer:

x = 6

Step-by-step explanation:

because of the exterior angle theorem, instead of looking for the inner angle's amount, I can directly look for the other angle's amount.

so:

6x + 8 + 5x + 8 = 82

11x + 16 = 82

11x = 66

x = 6

Answer:

Therefore, the exact value of cos 30 degrees is written as 0.8660 approx. √3/2 is the value of Cos 30° which is a trigonometric ratio or trigonometric function of a particular angle

Answer:

a. Rosemarie has 16 grandchildren.

b. Each grandchild would receive $0.50 or 50 cents.

Step-by-step explanation:

a. There are 4 sons, and each son has 4 children.

Son 1: 4 children

Son 2: 4 children

Son 3: 4 children

Son 4: 4 children

So you can find the total number of grandchildren by adding up the amount of children each of the sons have: 4 + 4 + 4 + 4 = 16

Rosemarie has 16 grandchildren.

b. If the are $8 total, and it is split equally between Rosemarie's sons, it means each son would get $2 (because $8 / 4 sons = 2).

And then each son would split it between his 4 kids. So $2 / 4 kids = $0.50

Each grandchild would receive $0.50 or 50 cents.

Step-by-step explanation:

third quadrant ( option C) is the correct answer.

hope this helps you.

Answer:it’s B cutie

Step-by-step explanation:

Answer:

(B/h)(1/2) - k = s

Answer:

Sarah's reasoning sounds good to start. She rounded the available bags and their content, so the result, 4000 bracelets, should be really easy to reach.

The exact numbers are 214 bags * 22 bracelets / bag = 4708 bracelets; so as you see, Sarah took care of having room to loose some beads and yet the beads will be enough to make 4000 bracelets.

Of course, if you want to be sure, you should ask Sarah some questions. For example:

1) What proportion of beads are normally deffective?

2) What proportion of beads are normally lost when crafting?

So, if Sarah did not take into account those proportions she migth be overestimating the number of bracelets they can make.

Sarah's assumptions of having enough beads for at least 4000 bracelets is correct.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Sarah who has 214 bag of beads each bag has enough beads for 22 bracelets

According to Sarah, there are enough beads for at least 4000 bracelets.

Mathematically -

x[e] ≥ 4000

Actual number of beads she could make = 22 x 214 = 4708 = x[a]

Since, x[a] > x[e], we can say that Sarah's assumptions are correct.

Therefore, we can say that Sarah's assumptions are correct.

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Answer:

X = 22°

Step-by-step explanation:

Answer:

[tex]\frac{2}{3}[/tex] n + 5

Step-by-step explanation:

let n be the number , then the algebraic expression is

[tex]\frac{2}{3}[/tex] n + 5

Answer:

The first one and the last one

Step-by-step explanation:

To sub x>0 and x<0 into every functions.

Then, u will get some function that y doesn't have a negative value or positive value.

Then, these function doesn't fulfill the range.

Then, u will get the answer.

Answer: y≥2

Step-by-step explanation:

Step-by-step explanation:

[tex]2y \geqslant 4[/tex]

[tex]y \geqslant \frac{4}{2} [/tex]

[tex]y \geqslant 2[/tex]

Answer:

If 3 women or 5 girls take 17 days to complete a piece of work, how long will 7 women and 11 girls working together take to complete the work? ∴ 7 women and 11 girls can do complete work in 3 ¾ days.

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 women or 5 girls take 17 days to complete a piece of work.

The amount of work*people is:

Number of people in the second case:

Time required to complete same work:

Answer:

20

Step-by-step explanation:

You basically just plug in the numbers given for the variables and solve.

2(7)+3(2) = 14+6= 20

Answer:

Heres your answer graphed

Step-by-step explanation:

Answer:

I think it is a Toyota I don't remember the model name.

Step-by-step explanation: