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3 years ago

Factor 200t+83 - 80t2. A. 8t(t - 5)(t + 5) B. 8t(t - 5)2 C. -8t(t - 5)(t + 5)

Mathematics

1 answer:

Mashutka [201]3 years ago

3 0

Step-by-step explanation:

8t³-80t²+200t

= 8(t³-10t+25)

= 8t(t²-10t+25)

= 8t(t-5)(t-5)

= 8t(t-5)²

the answer is B.

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Question 8 (1 point)

AleksandrR [38]

Answer:

solution is x=3

Step-by-step explanation:

$logx-log3=log(x-2)$

apply log property

log a- log b= log a/b

$logx-log3=log(x-2)\\log (\frac{x}{3} )=log(x-2)$

we have log on both sides

so we remove the log and make the arguments equal

$\frac{x}{3} = x-2$

solve for x, multiply whole equation by 3

$x=3(x-2)\\x=3x-6\\x-3x=-6\\-2x=-6\\x=3$

now plug in 3 for x and check

$logx-log3=log(x-2)\\log3-log3=log(3-2)\\0=0$

solution is x=3

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3 years ago

20 points! Identify the solids that form the compos

Troyanec [42]

The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The composite solid's surface area is 225.4 square inches.

Step-by-step explanation:

Step 1:

The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The surface area of the composite shape is given by summing the individual surface areas.

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

Step 2:

Any cube's surface area is calculated by multiplying 6 with the square of the side length ( $a^2$ ).

The cube's surface area = $6a^2$ = $6(5^{2} )$ = $150$ square inches.

Step 3:

Any cylinder's surface area is calculated with the following formula;

The cylinder's surface area = $2 \pi r h+2 \pi r^{2}$ = $2 \pi (2) (4)+2 \pi (2)^{2}$ = $75.398$ square inches

Step 4:

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.

3 0

3 years ago

Greatest common factor for 17 and 42

Musya8 [376]

Since 17 isnt a factor of 42 the only factor is 1

5 0

3 years ago

You and a friend are heading to Frankie's Fun Park (Columbia, SC). You have $100 for the day, and plan to spend your time riding

Rufina [12.5K]

Answer:

$8r + 6s = 100$ --- (a)

$s = -2$ ---- (b)

Step-by-step explanation:

Given

Per ride (r) = $8

Per baseballs (s) = $6

Total = $100

Required

Represent using an equation

If 1 ride is $8.

r rides would be 8r

If 1 baseball is $6

s baseballs would be 6r.

So, total is:

$8r + 6s = 100$

Solving (b):

Value of s when r = 14

$8r + 6s = 100$

Substitute 14 for r

$8 * 14 + 6s = 100$

$112+ 6s = 100$

Solve for 6s

$6s = 100 - 112$

$6s = -12$

Solve for s

$s = -12/6$

$s = -2$

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3 years ago

Using the numbers 0-6 once, make 2 equivalent ratios

fenix001 [56]

Step-by-step explanation:

As we have to use the number 0-6 once to make 2 equivalent ratios.

so lets solve the problem.

Determining first equivalent ratio

5 times 2 = 10

and

32 times 2 = 64

Together will get 10/64

Therefore, first equivalent ratio

$\:\frac{5}{32}=\frac{10}{64}$

Determining second equivalent ratio

$\frac{13}{65}=\frac{4}{20}$

$\frac{13}{65}=\frac{1}{5}$

and

$\frac{4}{20}=\frac{1}{5}$

Therefore, second equivalent ratio

$\frac{13}{65}=\frac{4}{20}$

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3 years ago