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3 years ago

Complete the real-world situation that could be modeled by the equation 140 − 4x = 160 − 8x.

Mathematics

1 answer:

frutty [35]3 years ago

5 0

The answer is X=5
Explanation:

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Can someone solve 3(b+2)+2(b-3)=-5

Alenkinab [10]

Answer:

b=-1

Step-by-step explanation:

3(b+2)+2(b-3)=-5

3b+6+2b-6=-5

5b=-5

b=-1

5 0

3 years ago

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(x+7)/(x^2-49) find the domain. show work

harina [27]

$\large\begin{array}{l} \textsf{Find the domain of}\\\\ \mathsf{f(x)=\dfrac{x+7}{x^2-49}}\\\\ \mathsf{f(x)=\dfrac{x+7}{x^2-7^2}}\\\\\\ \textsf{Factor out the denominator using special products:}\\\\ \textsf{(a difference of squares)}\\\\ \mathsf{f(x)=\dfrac{x+7}{(x+7)(x-7)}} \end{array}$

$\large\begin{array}{l} \textsf{Restrictions for the domain:}\\\\ \bullet~~\textsf{Denominators must not be zero:}\\\\ \mathsf{(x+7)(x-7)\ne 0}\\\\ \begin{array}{rcl} \mathsf{x+7\ne 0}&~\textsf{ and }~&\mathsf{x-7\ne 0}\\\\ \mathsf{x\ne -7}&~\textsf{ and }~&\mathsf{x\ne 7} \end{array} \end{array}$

$\large\begin{array}{l} \textsf{Therefore, the domain of f is}\\\\ \mathsf{D_f=\{x\in\mathbb{R}:~~x\ne -7~~and~~x\ne 7\}}\\\\\\ \textsf{or using a more compact form}\\\\ \mathsf{D_f=\mathbb{R}\setminus\{-7,\,7\}}\\\\\\ \textsf{or using the interval notation}\\\\ \mathsf{D_f=\left]-\infty,\,-7\right[\,\cup\,\left]7,\,+\infty\right[.} \end{array}$

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$\large\textsf{I hope it helps. :-)}$

Tags: <em>function domain real rational factorizing special product interval</em>

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7 0

3 years ago

What is 40% of a circle of radius 225ft

castortr0y [4]

Area of circle=(pi)r^2
=(pi)(225ft)(225ft)
=159,043.1281
then find 40% of surface area: 159043.1281 x 40%=63,617.25124

Hope that is helpful!

3 0

4 years ago

Which line is parallel to the line that passes through the points (1, 7) and (-3, 4)?

Viktor [21]

Answer:

Step-by-step explanation:

The slope of the line that passes through the given points is (4-7)/(-3-1) = 3/4.

Since parallel lines have equivalent slopes, the answer is B.

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2 years ago

Hey there! I will give you brainliest, 5/5 rating, and thanks if you can answer this one question!

Varvara68 [4.7K]

Hello!

Let's solve this equation for y first.

-10x+y=4

Add 10x to both side.

y=10x+4

Now, let's plug in our x-values to find y.

x: -2, -1, 0, 1, 2

y:-16,-6, 4,14,24

I hope this helps!

8 0

3 years ago

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