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Dmitriy789 [7]
3 years ago
11

5x(x-4) simplify distributive property

Mathematics
2 answers:
ser-zykov [4K]3 years ago
7 0

Answer:

5x^2-20x

Step-by-step explanation:

distribute the 5x to the x and the -4

Naya [18.7K]3 years ago
4 0

Answer:

5x^2-20x

Step-by-step explanation:

5x (x-4)

5x ^2 -20x

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Major league baseball's fastest recorded pitch is 105 miles per hours. The distance between the pitcher's mound and home plate i
blsea [12.9K]

Answer:

0.4 sec

Step-by-step explanation:

Remember that

1 mile=5,280 feet

1 foot=12 inches

1 hour=3,600 seconds

Let

s -----> the speed in ft/sec

d ----> the distance in ft

t -----> the time in sec

s=d/t

Solve for t

t=d/s

step 1

Convert  miles/hour to ft/sec

105 mi/h=105(5,280/3,600)=154 ft/sec

Convert 60 ft 6 in to ft

60 ft 6 in=60+(6/12)=60.5 ft

step 2

Find the time

t=d/s

we have

s=154 ft/sec

d=60.5 ft

substitute

t=60.5/154

t=0.39 sec

Round to the nearest tenth

t=0.4 sec

6 0
3 years ago
The length of the box is x
Romashka [77]

A polynomial that represents the volume of the Amazon box is; V(x) = x³ - 6x² + 5x

<h3>How to calculate the volume of a box</h3>
  • Length of box = x
  • Width of the box is 4 inches less than the length. Thus; width = x - 4
  • Height is said to be 1 inch less than the width. Thus; height = x - 4 - 1 = x - 5

Now, the formula for volume of a box is;

V = length × width × height

Thus;

V = x • (x - 1) • (x - 5)

V = x(x² - x - 5x + 5)

V = x(x² - 6x + 5)

V(x) = x³ - 6x² + 5x

In conclusion, the polynomial that represents the volume of the Amazon box is V(x) = x³ - 6x² + 5x

Read more on volume of a box at; brainly.com/question/15532376

3 0
2 years ago
What is true about triangle ABC. Select three options
liubo4ka [24]

Answer: The answer is sin A = cos C

Step-by-step explanation: sin A = cos C

6 0
3 years ago
Write a linear function F with the values F(-9)=8 and F (0) =1
Fiesta28 [93]

Given:

The values of a linear function are F(-9)=8 and F(0)=1.

To find:

The linear function.

Solution:

If a linear function passes through two points, then the equation of the linear function is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The values of a linear function are F(-9)=8 and F(0)=1. It means the function passes through the points (-9,8) and (0,1). So, the equation of the linear function is:

y-8=\dfrac{1-8}{0-(-9)}(x-(-9))

y-8=\dfrac{-7}{9}(x+9)

y-8=\dfrac{-7}{9}(x)+\dfrac{-7}{9}(9)

y-8=\dfrac{-7}{9}x-7

Adding 8 on both sides, we get

y-8+8=\dfrac{-7}{9}x-7+8

y=\dfrac{-7}{9}x+1

Putting y=F(x), we get

F(x)=\dfrac{-7}{9}x+1

Therefore, the required linear function is F(x)=\dfrac{-7}{9}x+1.

5 0
3 years ago
If the sales price of a toy car is $64, including a 20% discount, what was the regular price of the toy card before the discount
Colt1911 [192]
Hi there! So the toy car was on sale for 20%, and the sale price is $64. To find the original price of the toy car, we can write and solve a proportion. Set it up like this:

64/x = 80/100

This is because 64 is part of the whole, which is the original price, and although you get a 20% discount, you still have to pay 80% of the original price, which is why 80 is over the 100, in stead of 20. Let's cross multiply the values. 64 * 100 is 6,400 and 80 * x is 80x. That leaves 6,400 = 80x. Now, divide each side by 80 to isolate the x. 80x/80 cancels out. 6,400/80 is 80. We found the number, but let's check it. 80 * 80% (0.8) is 64. There. x = 80. The regular price of the toy car was $80.
3 0
3 years ago
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