You are permitted to use your calculator to solve an equation, find the derivative of a function at a point, or calculate the value of a definite integral. However, you must clearly indicate the setup of your question, namely the equation, function, or integral you are using. If you use other built-in features or programs, you must show the mathematical steps necessary to produce your results. Your work must be expressed in standard mathematical notation rather than calculator syntax.

Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answers without supporting work will usually not receive credit. Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point.

Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number.

x -3 0 3 6
f(x) -5 4 1 7
f'(x) -1 2 -2 4

The table above gives values of a twice-differentiable function f and its first derivative f' for selected values of x. Let g be the function defined by

g(x)= f(x^3-x )

Required:
What is the value of g (3)?

Answer: 6 kids walked to school

Step-by-step explanation:

Since there are 13 kids altogether and 7 rode the bus, it can be solved using subtraction.

13 - 7 = 6

Answer:

4 - 2 = 2

Step-by-step explanation

Answer:

The first option (11:36)

Step-by-step explanation:

When you convert the 3 feet to inches, you multiply by 12. There is 12 inches in each foot, so multiply 3 by 12 will result in 36.

We are comparing the 11 inches to the 3 feet (36 inches), so it would look like this:

11 : 36

(Can also be shown as 11 - 36)

1 Foot = 12 inches

3 feet x 12 = 36 inches.

Ratio = 11:36

Answer:

Step-by-step explanation:

x: cupcakes

y: cakes

9514 1404 393

Answer:

  1.  d. 4x +32y ≤ 224

  2.  b. x ≤ 24

  3.  yes

Step-by-step explanation:

1. For x number of cupcakes, at 4 minutes each, the time required for their decoration is 4x.

For y number of cakes, at 32 minutes each, the time required for their decoration is 32y.

The total decorating time must be less than or equal to 224 minutes:

  4x +32y ≤ 224

__

2. For y=4, the constraint on x is ...

  4x +32(4) ≤ 224

  4x ≤ 96

  x ≤ 24

__

3. We can try the numbers and see if the inequality is true:

  4(32) +32(3) ≤ 224

  128 +96 ≤ 224 . . . . . . . . true (equal)

Yes, it is possible.

Answer: 104-63 maybe?

Step-by-step explanation:

Answer:

∠ 53°

Step-by-step explanation:

[tex]Hope\\This\\Helps[/tex]

Answer:

15, 16, and 17.

Step-by-step explanation:

They are consecutive and they add up to 48.

Answer:

-7.89 is the answer

mark me the brainlets

Step-by-step explanation:

Answer:

m-15

Step-by-step explanation:

Answer: A

Step-by-step explanation:

I think A

Answer:

Quest 1. P = 3xat2 + 4yat2 + 11xy

Quest 2. P = 7xat2 + 21x + 5y + 5

Step-by-step explanation:

Note: Perimeter, P is the total sum of the distance round about an object. that at symbol cant be used here.so.am.using at2 for squared

Answer:

The equation for the question above is y = -1/3x.

Step-by-step explanation:

Using pascal's triangle;

Then second term of the expansion (1+3y)5

is given as:

5(1)^4(3y) = 15y

Answer:

15y

Step-by-step explanation:

Answer:

Which is a reason that organic farming is more expensive than conventional farming?

Organic farmers must pay for a costly certification process

How many years must a farm be run organically before its produce can be labeled as “organic”?

3

What is a benefit of crop rotation?

Rotating crops can help build healthy soil.

Step-by-step explanation: Hope you pass! :)))

first one is C second one is 3 third one is A

hope i helped

Answer:

Rise/Run = up 3 over 1 = 3/1 (m = 3)

Step-by-step explanation:

Learn this stuff it is very important for future math

Answer:

The number 70 is divisible by 2,5 and 14.

Explanation:

Out of all the equations, n+70 ⇒ 70+70 ⇒ 140.

140 is divisible by 2, 5 and 14.

SO the answer is option e: n+70

Answer:

[tex]his \: reasoning \: is \: correct.[/tex]

Step-by-step explanation:

[tex]since \: the \: ratio \: of \: the \: glass \: to \:that \\ \: of \: the \: thermos \: is \: in \: the \: fraction : \\ \frac{2 7 0 mL }{1mL} \: which \: is \:270 mL : 1mL \\ then \: the \: keem \: is \: right.[/tex]

Answer:

Sarah multiplied the denominator by the denominator and the numerator by the numerator instead of finding the cross products. The equation should be 5x = 42, so the cost should be $8.40.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

washewepshepshepshepshep

Answer:

but tbh this equation cannot be equal

Step-by-step explanation:

Answer:

No, they are not equal, because you can not add x to 2, because it does not have an x after the 2, so they are not the same

Step-by-step explanation:

Answer:

I would just think that it is 0

Step-by-step explanation:

0 is greater then -1 and it is the exact same thing and not less than 0

Answer:

-0.5

Step-by-step explanation:

<________-1_-0.5_0__1_________>

its greater than -1 and less than 0

Answer:

The slope is -1/5

Step-by-step explanation:

y = mx +b is in slope intercept form

m is the slope and b is the y intercept

y = -1/5x -1

The slope is -1/5 and the y intercept is -1

Answer:

Step-by-step explanation:

The slope is -1/5

Answer:

dashed lines are used for both < and >, solid lines are used for >= or <=

Step-by-step explanation:

Answer:

y=5.8

x=10

Step-by-step explanation:

30\3=10

10-4.2=5.8

Answer:

x = 10 cm

y = 5.8 cm

Step-by-step explanation:

Area of a rectangle

[tex]\large\boxed{A=l\:w}[/tex]

where l is the length and w is the width.

From inspection of the given rectangle:

Substitute the given values of area, width and length into the formula and solve for x:

[tex]\begin{aligned}A&=l\:w\\\implies 30&=x \cdot 3\\3x&=30\\x&=10\end{aligned}[/tex]

Substitute the found value of x into the expression for length and solve for y:

[tex]\begin{aligned}y+4.2&=x\\y+4.2&=10\\y&=10-4.2\\\implies y&=5.8\end{aligned}[/tex]

Answer: on the first week she earned 220$ and on the second week she earns 200$

Step-by-step explanation: Haley makes a total of 400$ in a week. divided by 2 would equal 200$ each. but Haley made an extra 20$ in the first week. so, 200$+20$=220$.And the two combined is 420$.

Answer:

(1, 6), (2, 8), (3, 10)

2(1) + 4 = 6, 2(2) + 4 = 8 and 2(3) + 4 = 10.

Step-by-step explanation:

The set of inputs for the equation f ( x ) = 2x + 4 is

( 1 , 6 ) , ( 2 , 8 ) , ( 3 , 10 )

What is an Equation?

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.

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 data ,

Let the equation be f ( x ) = 2x + 4

f ( x ) = y

Now ,

Let the first point be A ( 1 , 6 )

Let the second point be B ( 2 , 8 )

Let the third point be C ( 3 , 10 )

a)

A ( 1 , 6 )

Substitute the value of x and y in the equation , we get

y = 2x + 4

6 = 2 ( 1 ) + 4

6 = 2 + 4

6 = 6

Hence , the input A ( 1 , 6 ) satisfies

b)

B ( 2 , 8 )

Substitute the value of x and y in the equation , we get

y = 2x + 4

8 = 2 ( 2 ) + 4

8 = 4 + 4

8 = 8

Hence , the input B ( 2 , 8 ) satisfies

c)

C ( 3 , 10 )

Substitute the value of x and y in the equation , we get

y = 2x + 4

10 = 2 ( 3 ) + 4

10 = 6 + 4

10 = 10

Hence , the input C ( 3 , 10 ) satisfies

Hence , The set of inputs for the equation f ( x ) = 2x + 4 is

( 1 , 6 ) , ( 2 , 8 ) , ( 3 , 10 )

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Answer:

4.84

Step-by-step explanation:

4.84 is the nearest hundredth number of 4.8367.

Two or more expressions with an Equal sign is called as Equation.

Given,

4.8367 is a decimal number.

Four point eight three six seven is the given decimal number.

We have to round the decimal number to the nearest hundredth.

In the given decimal number the value at hundredth position is 3.

We need to follow the rules when rounding a decimal number.

if the last digit is less than 5, round the previous digit down.

if it's 5 or more than you should round the previous digit up.

In the given decimal number on right of 3 it is 6 which is more than 5. So we need to round the increase the value of 3 by 1 which makes it 4.

Hence 4.84 is the nearest hundredth number of 4.8367.

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