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4 years ago

2(u+3v)=w-5u, what is u in terms of v and w

2 answers:

8 0

$2(u+3v)=w-5u\\\\
2u+6v=w-5u\ \ \ |-6v\\\\
2u=w-5u-6v\ \ \ \ |+5u\\\\
2u+5u=w-6v\\\\
7u=w-6v\ \ \ |:7\\\\
u=\frac{w-6v}{7}\\\\Asnwer\ is\ u=\frac{w-6v}{7}.$

Ne4ueva [31]4 years ago

6 0

$2(u+3v)=w-5u \\\\2 u+6v =w-5u\\\\2u+5u=w-6v\\\\7u=w-6v \ \ :7 \\\\u=\frac{w-6v}{7}$

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The cost of a car rental is 30$ per day plus 27 cents per mile. You are on a daily budget of 76 $. Write and solve an inequali

denis-greek [22]

Answer:

okok so the answer is

Step-by-step explanation:

45.55+30=74.55

0.27 * 168=45.36

45.36+30=75.36

So he can drive 168 miles each day at most to stay within his budget.

Hope this helps :)

4 0

3 years ago

Determine weather the statement is true or false. Justify your answer

topjm [15]

$\begin{gathered} \cos (-\frac{7\pi}{2})=\cos (\pi+\frac{\pi}{2}) \\ \cos (-\frac{7\pi}{2})=\cos (\frac{3\pi}{2}) \end{gathered}$

As we know:

$\begin{gathered} \cos (x)=0 \\ for \\ x=\pi n-\frac{\pi}{2} \\ n\in Z \end{gathered}$

For:

$\begin{gathered} n=2 \\ x=2\pi-\frac{\pi}{2}=\frac{3\pi}{2} \\ for \\ n=-3 \\ x=-3\pi-\frac{\pi}{2}=-\frac{7\pi}{2} \end{gathered}$

Therefore:

$\begin{gathered} \cos (-\frac{7\pi}{2})=0 \\ and \\ \cos (\frac{3\pi}{2})=0 \\ so\colon \\ 0=0 \\ This_{\text{ }}is_{\text{ }}true \end{gathered}$

Therefore, the statement is true

7 0

1 year ago

The cube below is divided into 8 equal cubes and broken apart. What is the total surface area of all 8 cubes?

krok68 [10]

FORMULA:

TSA of cubes = 6(a)²

ANSWER:

We just have to plug the respective value.

So, TSA of 8 cubes = 6 × (12)²

6 × 144
864ft².

So, <u>Correct choice</u> - [C] 864 ft².

6 0

3 years ago

Write an equation in slope intercept and form of the line through point(6,-1)with slope m=4

aniked [119]

To solve this problem, we must first remember that slope-intercept form is y=mx + b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the equation.

To begin, we can take this form and substitute in the slope for the variable m.

y = mx + b

y = 4x + b

Next, because we weren't given the y-intercept, we can find it by substituting the value of 6 for x and the value of -1 for y (these values came from the ordered pair that we were given in this problem).

-1 = 4(6) + b

After that, we can begin to simplify and solve for the variable b by computing the multiplication on the right side of the equation.

-1 = 24 + b

Next, we should subtract 24 from the right side of the equation in order to get the variable b alone.

-25 = b

Now, if we substitute in this value for the variable b in our equation with the slope, we get:

y = 4x - 25

Therefore, your answer is y = 4x - 25.

Hope this helps!

3 0

3 years ago

What is the inverse of the function f(x) = 2x + 1?

Mazyrski [523]

Answer:

The first choice $hx = \frac{1}{2}x - \frac{1}{2}$

Step-by-step explanation:

Inverse functions are when you switch the y and x

btw f(x) is the same as y

y = 2x + 1

becomes

x = 2y + 1

solve it :)

subtract 1 from both sides

x - 1 = 2y

divide 2 from both sides

$\frac{x-1}{2}$

same as

$\frac{1}{2}x - \frac{1}{2}$

so ya know it's the first choice

3 0

2 years ago