f(x)=x^3 −9x
What is the average rate of change of f over the interval [1,6] ?

Answer:

This basically

Step-by-step explanation:

Answer: -47/42x

Step-by-step explanation:

-1/6x -9/7

LCD:

6(7) =42

x[ 7\7(-1/6) -6\6(9/7)]

x . -61/42

= -61/42x

Answer:

Step-by-step explanation:

The angles are vertically opposite

Vertically opposite angles are always equal

? = 53 degrees.

Answer:

650 milimeters

Step-by-step explanation:

Answer:

-x+4, 8-2x e.t.c

Step-by-step explanation:

To be able to do this:

You simply rearrange or you do the same to top and bottom.

So for the first one , if we substitute x we get:

4-1=3

The rearranged one I made which is my first answer would give:

-1+4=3

Hey there!

Assuming you meant:

9^3

IF SO, LETS SOLVE FOR IT!

9^3

= 9 * 9 * 9

= 81 * 9

= 729

Therefore, your answer is most likely:

[729] So, the base number is probably 5 and the exponent is probably 3

Random note:

Your base number is always that number that will be repeated by what the exponent is telling it!

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

X=8

Step-by-step explanation:

5x

2x+24

5x and 2x+24 are equal to each other

5x=2x+24

-2x  -2x

3x=24

x= 8

Answer:

y=5x+9

Step-by-step explanation:

5x because the slope is 5

then solve for b by plugging in x=-1, y= 4 into the equation y=5x+b

Answer:

[tex]f^{-1}(x)= \frac{3x}{2}+3[/tex]

Step-by-step explanation:

Interchange the variables:

x = y - 4 - [tex]\frac{y}{3} +2[/tex]

Solve for y:
[tex]y=\frac{3x}{2} +3[/tex]

Replace y with [tex]f^{-1} (x)[/tex] to show the final answer:
[tex]f^{-1}(x)= \frac{3x}{2}+3[/tex]

Answer:

B

Step-by-step explanation:

I'll say it is b not sure I hope this helps and if it is correct

Answer:

  B.

Step-by-step explanation:

I would write the first equation to better match the wording: three times d is 3d, and 290 less is (3d -290). That is said to be equal to t:

  t = 3d -290

If 3d is subtracted from both sides of this equation, you get an equation that matches some of the answer choices:

  t -3d = -290

The other equation is a straightforward expression of the difference in prices:

  t -d = 240

These equation match choice B.

The required speed in km/hr are 108km/hr and 25.704km/hr

Given the following conversion rate

Given that the speed of cheetah is 30meters per second. Converting to m/s will give:

30m/s = [tex]\frac{30m}{1s} \times \frac{1km}{1000m} \times \frac{3600s}{1hr} \\[/tex]

30m/s = 30 * 3.6

30m/s = 108km/hr

For the person with speed of 7.14m/s, the value in km/hr is expresssed as:

7.14m/s = 7.14 * 3.6

7.14m/s = 25.704km/hr

Hence the required speed in km/hr are 108km/hr and 25.704km/hr

Learn more on speed conversion here: https://brainly.com/question/2681210

Answer:

36

Step-by-step explanation:

the total sugar bags to be distributed= x=48

the total rice bags to be distributed= y=72
each family can take a package containing= 1x +2y
as each family can have 2 rice bags thus we can estimate the total number of families that can benefit by diving total no of rice bags by 2 which will be = 72/2 =36

the rice can be divided into 36 families
while the sugar bags can be divided into 48 families
as these have to be divided into packages so there will be 36 packages
that can be distributed into 36 families.

Answer:

120-x=90

120-90=x

30=x

Answer:

Your answer is [tex]6x^{2}yz^{3}[/tex]

Answer:

It’s the last one, D

Answer:

(2) $1,699.50

Step-by-step explanation:

A(t) = P(1 + r/n)^nt

1500(1 + .025/12)^5*12

= $1699.50

$1,699.50 represents the value of an investment with a principal of $1500 with a nominal interest rate of 2.5% compounded monthly after 5 years.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

Given that an investment with a principal of $1500 with a nominal interest rate of 2.5% compounded monthly after 5 years,

Amount = P(1+r/n)^nt

= 1500(1+0.25/12)^5*12

= $1699.50

Hence, $1,699.50 represents the value of an investment with a principal of $1500 with a nominal interest rate of 2.5% compounded monthly after 5 years.

For more references on Compound interest, click;

https://brainly.com/question/14295570

#SPJ2

Answer:

X = 2, -8

Step-by-step explanation:

Answer:

A. ( x + 3 )² = 25

Step-by-step explanation:

2x² + 12x = 32

2(x² + 6x) = 32

x² + 6x + 9 = 16 + 9              [ addition of 9 from both sides ]

( x + 3 )² = 25

Answer: C $6.60

Step-by-step explanation:

46.20 ÷ 7 = 6.6

So Shana should be saving $6.60 every week.

Answer:

(-8,-10)

Step-by-step explanation:

we have the two equations x-2y=12 and y=3x+14.

I'm going to assume this is a system of equations and we are looking for the solution.

we can use the substitution method as y is "defined".

x-2y= 12

substitute y = 3x + 14

x-2(3x+14)=12

distribute

x - 6x -28 = 12

combine like terms

-5x - 28 = 12

add 28 to both sides

-5x = 40

divide both sides by -5

x = -8

Now we plug in the value of x into one of the equations and solve for y

y = 3x + 14

x = -8

y = 3(-8) + 14

y = -24 + 14

y = 10

the solution is (-8,-10)

Answer:

a reflection

Step-by-step explanation:

imagine this is on a piece of paper, fold the paper in half "hotdog style" then they will be mapped on top of each other.

Answer:

150

Step-by-step explanation:

We multiply both sides by 6 to get x as the subject:
x/6×6=25×6

x=25×6

x=150

If we substitute this into the original question we get:
x/6=25

150/6=25
✅

Answer:

total blocks are 20 and prisms are 28

Step-by-step explanation:

There are 20 blocks needed for tower A, and 43.75 blocks needed for tower B

From the tape diagrams, we have the following ratio

Prism : Pyramid = 4 : 1

From the table, we have:

Tower A = 16 prisms

So, the ratio becomes

16 : Pyramid = 4 : 1

Multiply the ratio on the right-side by 4

16 : Pyramid = 16 : 4

By comparison, we have:

Pyramid = 4

This means that, 4 pyramid blocks are needed for tower A

So, the total number of blocks needed is:

Total = Pyramid + Prism

This gives

Total = 4 + 16

Evaluate the sum

Total = 20

Hence, there are 20 blocks needed for tower A

For table B, we have:

Tower A = 35 prisms

So, the ratio becomes

35 : Pyramid = 4 : 1

Express as fractions

[tex]\frac{Pyramid}{35} = \frac 14[/tex]

Multiply through by 35

Pyramid = 8.75

This means that, 8.75 pyramid blocks are needed for tower B

So, the total number of blocks needed is:

Total = 8.75 + 35

Evaluate the sum

Total = 43.75

Hence, there are 43.75 blocks needed for tower B

Read more about ratios at:

https://brainly.com/question/16981404

Answer:

A = -81

B = 4/9

Step-by-step explanation:

An equation that has infinite solutions suggests that the left side equals the right side.

Expand brackets:

      [tex]\dfrac23(12-Ax)-4 = 9(6 x + B)[/tex]

[tex]\implies 4-\dfrac23Ax = 54x+9B[/tex]

Equate coefficients of x:

[tex]\implies -\dfrac23A=54[/tex]

[tex]\implies A=-81[/tex]

Equate constants:

[tex]\implies 4=9B[/tex]

[tex]\implies B=\dfrac49[/tex]

Answer:

x=31 <B=112

Step-by-step explanation:

I'm super lazy so I won't give a thorough explanation, but this should explain it all.

Opposite angles on parallelograms are congruent

Answer:

y = 15

Step-by-step explanation:

The triangles follow a scale factor. This scale factor can enlarge or make a triangle smaller, using this factor, like a ratio. We can do 22/10 to get this scale factor for the set, which is 2.2. Finally, divide 33 by 2.2 to get 15 for the missing side length y.

Answer:

h (x)=-16x^(2)+3x+35 =

x-intercept(s): (3+√224932,0),(3−√2249 32,0)

y-intercept(s): (0,35)

Answer:

answer is below

Step-by-step explanation:

cos 22 = x÷15

x = 13.907