Multiply the polynomial by distribution. Show your work and explain the steps you used to solve.
- 8x(x^2 – 8x + 3)

Answers

Answer 1

Answer:

-8x^3 + 64x^2 - 24x

Step-by-step explanation:

To distribute, we must multiple -8x to each term:

-8x(x^2) - 8x(-8x) - 8x(3)

-8x^3 + 64x^2 - 24x

Answer 2

Step-by-step explanation:

[tex] - 8x( {x}^{2} - 8x + 3) \\ = ( - 8x \times {x}^{2}) - ( - 8x \times 8x) + ( - 8x \times 3) \\ = - 8 {x}^{3} + 64 {x}^{2} - 24x[/tex]

distribute -8x to each term in the perenthesis i.e. multiply each term by -8x


Related Questions

A regular square pyramid has a slant height of 5 in and a base area of 49 in2. Find the surface area of the pyramid. ------------------------------------------------------------------------------------------- 171.5 square inches 70 square inches 119 square inches 245 square inches

Answers

Answer:

C: 119 square inches

Step-by-step explanation:

We are given;

Slant height; L = 5 in

Base area; B = 49 in²

Since it's a square pyramid, the base portion has a square shape.

Thus, area of base = x²

Where x is a side of the square.

Thus;

x² = 49

x = √49

x = 7

Perimeter of base = 7 × 4 = 28 in

Area of pyramid = ½PL + B

Plugging in the relevant values;

Area of pyramid = (½ × 28 × 5) + 49

Area of pyramid = 119 in²

Can u help solve this

Answers

Answer:

Sure:)! the answer is-487.5

Step-by-step explanation:

1.3x3xr^31.3x3=3.93.9r^3r=55x5x5=1253.9x125=487.5

As said in the problem pie=3 as determined in the problem. Hence, the answer is 487.5

Hope this helps :)!

Step-by-step explanation:

[tex]volume = \frac{4}{3} \pi \: {r}^{3} \\ = here\pi = 3 \\ then \: v = \frac{4}{3} \times 3 \times {5}^{3} \\ = 4 \times 125 \\ = 500 {in}^{3} \\ thank \: you[/tex]

Find the area of the shaded region. Round your answer to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

The formula for finding the area of a pentagon(regular) given 1 side is

A = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}s^{2}\)[/tex]

s (the side) = 12

Area = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}12^{2}\)[/tex]

Area = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}144\)[/tex]

Area = sqrt(5(5 + 2*2.2361) * 36

Area = sqrt(5( 5 + 4.4721)) * 36

Area = sqrt(5*9.4721) * 36

Area = sqrt(47.3606) * 36

Area = 6.882 * 36

Area = 247.7485

The area of the circle = pi r*2 but we don't have r.

If you know any trig, the formula for the radius of the circle is

R = s/(2*sin(180)/n)     n = 5 because you are using a 5 sided figure.

R = 12/(2*sin(180/5)

R = 12/2* sin(36)

R = 6 / sin(36)

R = 10.207

So the area of the circle is pi * R^2

Area = 3.14 * 10.2078^2

Area = 327.1854

The area of the shaded part is the difference between the 2 areas we found

Answer: 327.1854 -  247.7485

Answer: 79.44

PLEASEEE HELP ASAP ILL GIVE 20 POINTS

Answers

Answer:

0.47 yes, 0.1666... yes, 0.5473 no, 0.541 yes

Step-by-step explanation:

0.47 yes: is a repeating decimal

0.1666... yes: is a repeating decimal

0.5473 no: is neither terminating or repeating

0.541 yes: is terminating

Write an equation that represents the line.
Use exact numbers.

Answers

Answer:

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

Step-by-step explanation:

Linear algebra

Answer:

y=-4/3x+2

Step-by-step explanation:

Evaluate the functions in the given points.
a. f(x) = x

2 − 6 for f(0), f(−6), f(√6), f(
1
2
)

b. f(x) = x

3 + 2x for f(0), f(−2), f(−1), f(
1
2
)

c. f(x) =
1−2x
3
for f(0), f(−2), f(2), f (
1
2
) , f(m), f(m − 1), f(−m)

d.f(x) = |x| −
1
x
for f(−1), f(2), f(h), f (
1
2
) , f(−h + 2) where h ≠ 0

Answers

Answer:

Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)..............

Step-by-step explanation:

Please help me thank you xx

Answers

Answer:

A

Step-by-step explanation:

the brigde means anything in between

i need help anybody ?

Answers

Answer and Step-by-step explanation:

Simply use the Pythagorean Theorem to solve.

The Pythagorean Theorem is used to solve for a side in right triangles.

[tex]A^{2} +B^{2}= C^{2}[/tex]

Plug the sides values into the equation.

[tex]A^{2} + 13^2 = 20^2\\\\A^2 + 169 = 400\\\\A^2 = 231\\\\A = 15.1987[/tex]<- This is the answer.

#teamtrees #PAW (Plant And Water)

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

19 degrees

Explanation:

The tangent ratio is opposite/adjacent. To find the angle however you need to take the inverse so the answer will be tan^-1(17/50).

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer: will be A

Step-by-step explanation:

The most reasonable answer would be A

provisions for 630 men to last for 25 days. How many men must be transferred to another camp so that the food lasts for 30 days?​

Answers

Answer:

105

Step-by-step explanation:

25 days = Food for 630 men

30 days = x           (Inverse variation)

30 * x = 630 * 25

x = 630 * 25/30

  = 21 * 25

  = 525 men.

630 - 525 = 105 men.

Therefore, 105 men must be transferred to another camp so that the food lasts for 30 days.

evaluate the function f ( -2) = − 3 ^2

Answers

Answer:

f ( -2) = − 3 ^245fsaf

Step-by-step explanation:

f ( -2) = − 3 ^2wqs

f(-2)= -3^2

f(-2) = -3 × (-3)

f(-2) = 9

Must click thanks and mark brainliest

Instructions: Find the missing side. Round your answer to the nearest
tenth.
22
х
50°
X =

Answers

Answer:

x = 16.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 50 = x/22

22 sin 50 =x

x=16.85297

To the nearest tenth

x = 16.9

Find the value of x for which (4/5)-4 X(4/5)-7 = (4/5)2x-1

Answers

Answer:

0.8 -4*0.8-7=0.8*2x-1

0.8-3.2-7=1.6x-1

0.8-10.2+1=1.6x

1.8-10.2=x1.6

-8.4=x 1.6

x= -8.4 / 1.6

x= - 5.25

I will be marking brainliest please help me with these questions.

Answers

Answer/Step-by-step explanation:

1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:

Area of shaded region = area of triangle - area of rectangle

Area of shaded region = ½*base*height - length*width

1. a. Volume of triangular prism = area of triangular base * height of prism

Volume of triangular prism = ½bh * H

Where,

b = 6 m

h = 4 m

H = 8 m

Substitute

Volume of prism = ½*6*4*8

Volume of prism = 96 m³

b. Volume of sphere = ⁴/3πr³

Where,

r = 9 cm

Substitute

Volume = ⁴/3*π*9³

Volume = ⁴/3*π*729

Volume ≈ 3,053.6 cm³ (nearest tenth)

2. Use Pythagorean theorem to find the height of the cone

radius of the cone (r) = ½(16) = 8 cm

Slant height (l) = 11 cm

height (h) = ?

Using Pythagorean theorem, we have:

h = √(l² - r²)

Substitute

h = √(11² - 8²)

h = √(57)

h ≈ 7.5 cm (nearest tenth)

b. Volume of the cone = ⅓πr²h

where,

r = 8 cm

h = 7.5 cm

Volume = ⅓*π*8²*7.5

Volume = 502.7 cm³ (nearest tenth)

You have a basket. But it's not just any basket. It's a basket that can hold an infinite number of apples. So you take your infinite stash of apples and fill the infinite basket, so now you have an infinite amount of apples in an infinite basket. But then you get another infinite stash of apples. Would it be possible to fill the infinite basket with more infinite apples, even tho the basket already has an infinite amount of apples in it?

Answers

Answer:

Yes

Step-by-step explanation:

Because of the properties of infinity:

∞  + ∞ = ∞∞ * n = ∞∞ * ∞ = ∞

Answer:

nope.

Step-by-step explanation:

please answer algebra question I put it into a calculator and it didn’t work 4x-5=4(x-2)+3

Answers

Answer:

solving for X it would be (-infinity ♾️, +infinity ♾️) or all real numbers

Find the surface area of the composite figure

Answers

Answer: SA = 644 cm²

Step-by-step explanation:

STEP ONE: Find the surface area of the smaller rectangle (green)

There are in total 5 sides because one of the sides is not shown on the surface level.

Upper base = 3 × 3 = 9 cm²

4 sides = 3 × 8 × 4 = 96 cm²

Total = 9 + 96 = 105 cm²

STEP TWO: Find the surface area of the larger rectangle (orange)

There are in total 5 whole sides with one side covered by the base of the smaller rectangle (green) which should later be subtracted.

Front and back = 7 × 10 × 2 = 140 cm²

Left and right = 7 × 12 × 2 = 168 cm²

Lower base = 10 × 12 = 120 cm²

Upper base = 10 × 12 - 3 × 3 = 111 cm²

Total = 140 + 168 + 120 + 111 = 539 cm²

STEP THREE: Find the total surface area

SA = Green + Orange = 105 + 539 = 644 cm²

Hope this helps!! :)

Please let me know if you have any questions

find the value of x and y..​

Answers

Answer:

x=30° y=110°

Step-by-step explanation:

80+70=150

180-150=30° 》》》》 angles in a triangle add up to 180°

x=30° opposite angles are equal

180-140=40° angles on a straight line add up to 180°

30+ 40=70

180-70=110°

y=110°

Simplify: squrt 18x⁷

Answers

Answer:

3x^3 ⋅ √2x

Step-by-step explanation:

If 12 out of 30 fruits are oranges, how many oranges fruits will there be per 100 fruits total?​

Answers

Answer:

40 oranges are there in 100 fruites.

The internal dimension of a lidless wooden box is 48cm × 38cm × 32cm. If the thickness of the tank is 1 cm, find the volume of the wooden box​

Answers

Step-by-step explanation:

this is confusing.

first the description says "the internal dimensions".

and then it tells us the thickness of the tank walls (1cm).

so, I am not sure what the given numbers describe.

in any case, the volume is length × width × height.

so, either

48×38×32

or

46×36×31 (as for length and width we need to consider 2 walls, one on each end, for the height only one wall, as the tank is open and lidless.

whatever you choose, make sure to mark the result as cm³.

¿para qué se realizan gráficos en un informe
estadístico?

Answers

Los gráficos simplifican los datos y muestran los hallazgos clave en forma de imágenes. Un gráfico es una representación visual de datos que puede presentar información compleja de forma rápida y clara, y ayudar al lector a ver patrones y tendencias en los datos.

find the median of the data down belove (please hurry)

Answers

Answer:

6.2

Step-by-step explanation:

You can find the median by adding up all of the numbers and dividing the result by how many numbers there are.

add them all together: 5 + 6 +5+6+9 = 31

there are five people, so divided 31 by 5

31 divided by 5 = 6.2

6.2

integers
[tex]18 \div ( - 9) = [/tex]
[tex] - 10 \div 2 = [/tex]
[tex] - 2 + ( - 6) = [/tex]
[tex] - 8 - 4 = [/tex]
[tex]( - 2 \times - 12) \div (18 \div - 9 = [/tex]
[tex](120 - 30) \div ( - 42 - 3) = [/tex]
[tex]1000 \div (125 \times - 2) = [/tex]
[tex](5 - 30) \div ( 8 - 3) = [/tex]
[tex]12 \div (4 - 8) = [/tex]


Answers

(1) 18÷(-9)= -2(2) -10÷2= -5(3) -2+(-6)= -2-6= -8(4) -8-4= -12(5) (-2×-12)÷(18÷9)= 24÷2= 12(6) (120-30)÷(-42-3)= 90÷(-45)= -2(7) 1000÷(125×-2)=1000÷(-250)= -4(8) (5-30)÷(8-3)= -25÷5= -5(9) 12÷(4-8)=12÷(-4)= -3

please mark this answer as brainlist

When leaving a town, a car accelerates from 30 kmh-1 to 60 kmh-1 in 5 s. Assuming the
acceleration is constant, find the distance travelled in this time.
A. 6 m
B. 62.5 m
C. 41.7 m
D. 20.8 m

Answers

Answer:

B .62.5 m

Step-by-step explanation:

convert Kmh-1 in to ms-1

30 Kmh-1 = (30×1000) ÷3600 = 8.3ms-1

60 Kmh-1 = (60×1000) ÷3600 = 16.6 ms-1

acceleration = (16.6 - 8.3) ÷ 5 = 1.66 ms-2

V^2 = U^2 +2aS

(16.6)^2 = (8.3)^2 + 2×1.66 ×S

S = 62.5 m

The average number of shirts that a shop sold each month is given in the graph. In the graph, 1 represents January, 2 represents February, and so on. Based on the graph, how many shirts can the shop expect to sell in June of that year? A. 60 shirts B. 160 shirts C. 220 shirts D. 320 shirts

Answers

Answer:

320 shirts

Step-by-step explanation:

Answer:

320 shirts

Step-by-step explanation:

If the shirts were around 400 in January, then you would assume that near June, the number of shirts sold would be 320 shirts.

convert six yard to feet

Answers

Answer:

18 feet

Step-by-step explanation:

To convert : multiply the length value by 3

=> 6 x 3

=> 18 feet

if you have 500 dollars and spend 20 every week then what would be the slope explain

Answers

Answer:

y=-20m+500

Step-by-step explanation:

If A(x, y) and B(27, 2y) are points on a grid, the coordinates of the midpoint of line
segment AB are:

Answers

Answer:

( .5x+13.5, 1.5y)

Step-by-step explanation:

To find the coordinates of the midpoint, add the endpoints and divide by 2

(x+ 27)/2 = x/2 + 13.5

(y+2y)/2 = 3y/2 = 1.5y

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