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1 year ago

Ebony uses unit cubes to build the rectangular prism below.

Mathematics

1 answer:

exis [7]1 year ago

7 0

Answer:

Step-by-step explanation:

The length is 4, the width is 2, and the height is 3.

$V=lwh=(2)(3)(4)=24$

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What expression would represent x in years?

kakasveta [241]

X would represent in years by 10x

3 0

3 years ago

Consider the following equations: f(x) = 2x – 2 and g(x) = 5 - x

zysi [14]

Answer:

The difference in slopes of $f(x)\ and\ g(x)$ is = 3

We can say slope of $f(x)$ is positive and 3 more than slope of $g(x)$ while slope of $g(x)$ is negative.

Difference of y-intercepts of $f(x)\ and\ g(x)$ is = -7

We can say the y-intercept of $g(x)$ is positive and 7 units above $f(x)$ while y-intercept of $f(x)$ is negative.

Step-by-step explanation:

Given equation:

$f(x) =2x - 2$

$g(x) =5-x$

We need to find the difference of slopes and y-intercepts of the given equations.

The standard form of a slope intercept equation of line is given by:

$y=mx+b$

where $m$ represents slope and $b$ represents y-intercept of line.

Writing the given equations in standard form to find slope and y-intercept.

$f(x) =2x +(-2)$

Slope = 2 and y-intercept =-2

$g(x) =(-1)x+5$

Slope = -1 and y-intercept =5

The difference in slopes of $f(x)\ and\ g(x)$ is = $2-(-1)=2+1=3$

We can say slope of $f(x)$ is positive and 3 more than slope of $g(x)$ while slope of $g(x)$ is negative.

Difference of y-intercepts of $f(x)\ and\ g(x)$ is = $-2-5=-7$

We can say the y-intercept of $g(x)$ is positive and 7 units above $f(x)$ while y-intercept of $f(x)$ is negative.

5 0

2 years ago

EDIT// answer below thank for the help -.-

HACTEHA [7]

Step-by-step explanation:

Move it it up 4 and then find your x intercepts.

Find the x intercepts.

$-x^2 + 4 = 0$

Move the 4 over to the right

$-x^2 = -4$

Divide out the -

$\frac{-x^2}{-} = \frac{-4}{-}$

$x^2 = 4$

Take the square root of each side

$\sqrt{x^2} = \pm \sqrt{4}$

$x = \pm \sqrt 2$

Our x intercepts are at (-2,0) (2,0)

8 0

3 years ago

Why is determining food cost percentage important?

Studentka2010 [4]

Answer:

Food cost determines a restaurant's profitability.

Step-by-step explanation:

If you have any questions feel free to ask in the comments - Mark

Also when you have the chance please mark me brainliest.

8 0

2 years ago

Read 2 more answers

Solve 5x^2 - 7x + 2 = 0 by completing the square.

Reika [66]

Answer: The correct option is (c) $\dfrac{49}{100}.$

Step-by-step explanation: We are given to solve the following quadratic equation by the method of completing the square:

$5x^2-7x+2=0~~~~~~~~~~~~~~~~~~~(i)$

Also, we are to find the constant added on both sides to form the perfect square trinomial.

We have from equation (i) that

$5x^2-7x+2=0\\\\\Rightarrow x^2-\dfrac{7}{5}x+\dfrac{2}{5}=0\\\\\\\Rightarrow x^2-2\times x\times \dfrac{7}{10}+\left(\dfrac{7}{10}\right)^2+\dfrac{2}{5}=\left(\dfrac{7}{10}\right)^2\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49}{100}-\dfrac{2}{5}\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49-40}{100}\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{9}{100}\\\\\\\Rightarrow x-\dfrac{7}{10}=\pm\dfrac{3}{10}\\\\\\\Rightarrow x=\pm\dfrac{3}{10}+\dfrac{7}{10}.$

So,

$x=\dfrac{3}{10}+\dfrac{7}{10},~~~~~~~~x=-\dfrac{3}{10}+\dfrac{7}{10}\\\\\\\Rightarrow x=\dfrac{10}{10},~~~~~~~~\Rightarrow x=\dfrac{-3+7}{10}\\\\\\\Rightarrow x=1,~-\dfrac{2}{5}.$

Thus, the required solution is $x=1,~-\dfrac{2}{5}.$ and the value of the constant added is $\dfrac{49}{100}.$

Option (c) is correct.

3 0

2 years ago