Directions: Simplify and write in standard form, letting f(x) = x2 + 2x + 1, g(x) = 3 - 2x,
h(x) = 2x2, and k(x) = x +4.
k(h(x))

Answer:

56  feet.

Step-by-step explanation:

4k+6k+8k=18k=126⟹k=7

Therefore, the lengths are 4⋅7=28, 6⋅7=42 and 8⋅7=56 feet.

Answer:

1/3

Step-by-step explanation:

Hope this helps!

Answer:

(a) mintutes, seconds

(b) Randomly pick 55 students to run a lap around the track and measure their times

Step-by-step explanation:

(a) When measuring distance like running you measure it in minutes and seconds

(b) When finding the average of a population you have to pick randomly and to get the best results you time them youself

Randomly pick 55 students to run a lap around the track and measure their times.

Answer:

D. (x^3 - 10)(x^2 + 10x^3 + 100).

Step-by-step explanation:

Using  the identity a^3 - b^3 = (a - b)(a^2  + ab + b^2):

We have  x^9-1000 :

- here a = x^3 and b = 10 so:

x^9-1000 = (x^3 - 10)(x^2 + 10x^3 + 100)

Answer:

need more details

Step-by-step explanation:

...

Answer:

a) decay

b) 2,950,000

c) 0.025

d) [tex]f(x)=2950000(0.975)^x[/tex]

e) 2,409,123

Step-by-step explanation:

Part (a)

Exponential DECAY, since the population was decreasing annually.

Part (b)

Initial amount = 2,950,000 people (in the year 2000)

Part (c)

Decay factor = 2.5% = 0.025 (in decimal form)

Part (d)

General form of exponential decay function:

[tex]f(x)=a(1-r)^x[/tex]

where:

Given:

[tex]\implies f(x)=2950000(1-0.025)^x[/tex]

[tex]\implies f(x)=2950000(0.975)^x[/tex]

Part (e)

To determine the city's population in 2008:

[tex]x = 2008 - 2000 = 8[/tex]

[tex]\begin{aligned}\implies f(8) & =2950000(0.975)^8\\ & = 2409123\: \sf(nearest\:whole\:number)\end{aligned}[/tex]

The sampling strategy she use was a quota.

Quotas are meant to establish boundaries on the number of specific goods that are allowed to be lawfully imported into the country throughout a distinct period of time. In that, quotas are similar embargoes, except quotas don´t have explicit political purposes as embargoes do.

A Fixed quota would be a maximum amount not to be surpassed, while a tariff rate surcharge allows it, but with a higher duty.

If 73% of the students surveyed said their favorite color was purple,  1,000 students were surveyed in total.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Let the total number of persons surveyed be x. However, the question tells us that 350 respondents, or 35% of this x, make up the total.

Hence, mathematically, we have;

73% of x = 219

(73/100) × x = 219

73x = 100×219

73x = 219,000

x = 219,000/219

x = 1,000 students

Thus, if 73% of the students surveyed said their favorite color was purple, 1,000 students were surveyed in total.

Learn more about the percentage here:

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Answer:

the answer of the perimeter is B

Answer:

4000 yd^2

Step-by-step explanation:

50 yd   *   80 yd  =  (50*80) ( yd * yd) = 4000 yd^2

Answer:

2 students out of 20 have blonde hair.

Step-by-step explanation:

20 was the total number if u divide 20 ÷ by 10 = 2

so 2 is 1/10

because is only 1 out of 10

Answer:

2 students.

Step-by-step explanation:

20 divided by 10 = 2

Answer:

(x+6)^2+3

Step-by-step explanation:

translate 6 left

left is negative

so (x+6)^2. it is + because the x goes in the opposite direction causing (x-6)^2 to go right

and 3 units up so add x by 3 to get (x+6)^2+3

Answer:

g(x) = (x + 6)² + 3

Step-by-step explanation:

To move horizontally replace each x with (x ± c)

if you move it to the right, you need x - c

if you move it to the left , you need x + c

Since we are moving to the left 6, we will have: g(x) = x² + 6

To move up or down, add or subtract the constant equal to the units moved, so to move it up 3 would give us:

g(x) = (x + 6)² + 3

A graph is below for further conformation.

hope this helps!

Answer:

Step-by-step explanation:

scale factor bigger than one,  in math   greater than,  the figure is larger than the object being used    a figure smaller than 1 creates a figure smaller than the original  

Luckily you can just use your web browser to scale a screen up or down in it's scale.  try it.. top right  ellipse for go ogle chrome lets you scale over 100 per cent  or 1  and also under 100 per cent  or less than 1  remember   100 per cent = 1.00  

Ans: The measure of exterior angle i.e angle A is -52⁰.

You meant to say that the measure of an angle A is on exterior angle so let me elaborate it you clearly,

[tex]x + 59 \\ = - 7 + 59 \\= - 52[/tex]

Let's solve the equation.

4 (2m -6) - 3p - 2m + 8

= 8m - 24 - 3p - 2m + 8 (We simplified 4 (2m -6))

= 6m - 16 - 3p (We added the 8 to the 24)

= 6m - 3p - 16 (We organized the variables together so it matches an answer.)

The answer is A!

Answer: hii

Step-by-step explanation:

How to solve your problem:

4 (2m -6) - 3p - 2m + 8

Simplify.

Distribute.

4 (2m -6) - 3p - 2m + 8

8m - 24 - 3p - 2m + 8

Add the numbers:

8m - 24 - 3p - 2m + 8

8m - 16 - 3p - 2m

Combine like terms:

8m - 16 - 3p - 2m

6m - 16 - 3p

Rearrange terms:

6m - 16 - 3p

6m - 3p - 16

Solution:

6m - 3p -16

Hopefully this helps you ~

- Matthew

Answer:

16

Step-by-step explanation:

The figure shown is a trapezoid

Area of a trapezoid = 1/2(bottom base length + top base length) × height

Bottom base length = 7 units

Top base length = 1 unit

Height = 4 units

So area = 1/2 ( 7 + 1 ) × 4

==> add 7 and 1

Area = 1/2 (8) × 4

==> multiply 1/2 and 8

Area = 4 × 4

==> multiply 4 and 4

Area = 16

Answer:

2/15

Step-by-step explanation:

there are only 2 numbers which are multiples of 6, which are both 6 and 12. That means it would be a 2/15 probability. You cannot simplify it more, so it will remain the same.

Answer:

2/15

Step-by-step explanation:

:)

The surface area of the box that Melissa will paint is 24 square units

A cube is a solid figure with 6 faces. The formula for calculating the surface area of the cube is expressed as:

A = 6L^2

where

L is the side length of the cube

Given

L = 2units

Substitute

A = 6(2)^2
A = 6 * 4
A = 24 square units

Hence the surface area of the box that Melissa will paint is 24 square units

Learn more on surface area of cube here: https://brainly.com/question/410493

Answer:

1000 :)

Step-by-step explanation:

We need to subtract to solve!!

54735 - 53000 = 1735

1735 - 735 = 1000

Have an amazing day!!

Please rate and mark brainliest!!!

If  each point costs $1000.00. how long would it take to break even by buying is:9 years.

First step

Monthly savings=$958-$948.75

Monthly savings=$9.25

Second step

Time=(Cost of points/Mothly savings)/ 12 months

Time=($1,000/$9.25)/12 months

Time=108/12 months

Time=9 years

Therefore how long would it take to break even by buying is:9 years.

Learn more about time here:https://brainly.com/question/3136138

25

hope it helps...!!!!

An octagon is a polygon with 8 sides and angles. The two equal angles are 140 degrees each

An octagon is a polygon with 8 sides and angles

The formula for calculating the sum of interior angle of a regular polygon is expressed as:

S = (n-2) * 180

If the sum of six interior angles of a regular octagon is 800 the other two angles are equal, then;

800 + 2x = (8-2)*180

800 + 2x = 1080
2x = 1080 - 800
2x = 280
x = 140

The two equal angles are 140 degrees each

Learn more on interior angles here: https://brainly.com/question/24966296

Answer:

12000

Step-by-step explanation:

240÷2=120

120=1%

120×100=12000

12000=100%

Answer: 12,000

Step-by-step explanation:

2% is = 240

1% is 240/2

100% is 240/2 × 100/1

Answer: 540 nearest hundred is 500

Step-by-step explanation:

I multiplyed them together to get the answer.

Answer:

4834.9

Step-by-step explanation:

1) Split the Figure into a Cone and a Cylinder

2) Cylinder Formula V=πr²h And Cone  V=1/3hπr²

3) π[tex]9^{2}[/tex]15 + 1/2(12)π([tex]9^{2}[/tex])

4) 3817.04+1017.88

5) 4834.9

Answer:

C

Step-by-step explanation:

g(x) through the point (1,4) so its mean when x equal to 1, g(x) equal to 4 so you replace that point so you can choosse C

Answer:

For every hour they work (x), they are being paid $25. (d)

Step-by-step explanation:

So, D=25x

Answer:

Step-by-step explanation:

In order to solve this, you must use the distributive property.

[tex]\sf{\dfrac{4\left(5t+1\right)}{5}}[/tex]

Distributive property:

⇒ A(B+C)=AB+AC

⇒ 4(5t+1)

Multiply by expand.

4*5t=20t

4*1=4

Rewrite the problem down.

20t+4

20t+4/5

[tex]\text{FRACTION RULES: }\\\\\\\Longrightarrow: \sf{\dfrac{A\pm \:B}{C}=\dfrac{A}{C}\pm \dfrac{A}{C}}[/tex]

[tex]\Longrightarrow: \sf{\dfrac{20t+4}{5}=\dfrac{20t}{5}+\dfrac{4}{5}}[/tex]

You have to divide the numbers from left to right.

⇒ 20/5=4

[tex]\Longrightarrow: \boxed{\sf{4t+\dfrac{4}{5} }}[/tex]

Answer:

[tex]4t + \frac{4}{5}[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]\frac{4(5t + 1)}{5}[/tex]

[tex]\frac{(4 * 5t) + (4 * 1)}{5}[/tex]

[tex]\frac{20t + 4}{5}[/tex]

Step 2:  Isolate the numerator into two fractions

[tex]\frac{20t +4}{5}[/tex]

[tex]\frac{20t}{5} + \frac{4}{5}[/tex]

[tex]4t + \frac{4}{5}[/tex]

Answer:  [tex]4t + \frac{4}{5}[/tex]

Answer: 11

Step-by-step explanation:

Answer:

it should be -65. because I did this already

Answer:

x=3, y=-3

Step-by-step explanation:

pluging in y we get -3x+15=6, or -3x=-9

this means x is 3