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3 years ago

8

Matt reasoned that he can write 9/1000 as 0.9. Is he correct?

1 answer:

mel-nik [20]3 years ago

4 0

No. The answer is 0.009
The easiest way to check your work is for you to place a 1 for the decimal and to move to the right by adding zeros until you hit the number for the denominator.

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Given the following functions f(x) and g(x), solve f over g (−5) and select the correct answer below:

ahrayia [7]

Plug -5 into both of them and divide:

$\sf\dfrac{2x-20}{x-1}$

$\sf\dfrac{2(-5)-20}{-5-1}$

Simplify:

$\sf\dfrac{-10-20}{-6}$

$\sf\dfrac{-30}{-6}$

$\boxed{\sf 5}$

7 0

3 years ago

Read 2 more answers

Joy is helping her father to build a rectangular deck that measures 14 ft by 19 ft.

Helga [31]

14 multiplied by 9 is 126
The answer is 126ft

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2 years ago

Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+

tekilochka [14]

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

$h(t) = -16t^{2} + 72t + 100$

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

$h(t) = -16t^{2} + 72t + 100$

$-16t^{2} + 72t + 100 = 0$

Multiplying by (-1)

$16t^{2} - 72t - 100 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$16t^{2} - 72t - 100 = 0$

So

$a = 16, b = -72, c = -100$

$\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584$

$t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61$

$t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11$

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

3 0

3 years ago

Use the distributive property to rewrite the expression –2(6 – x) without parentheses.

slava [35]

The correct answer is B

8 0

3 years ago

If 2y+2w=x, then w, in terms of x and y, is equal to

fredd [130]

Answer:

w=-y+1/2x

Step-by-step explanation:

Its literal equations, so just solve like any other variable equation. Set your w value to the equal, and isolate the said variable

3 0

3 years ago