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3 years ago

What is the solution to the equation?

2 answers:

8 0

C. x=3 because you need to distribute the 3 to the x and the -5. This will get you 3x-15= 8x-30. Then, you have to subtract 3x from both sides. -15=5x-30. Lastly, you add 30 to both sides. 15=5x. Divide both sides by 5 and you have x=3.

never [62]3 years ago

7 0

3(x - 5) = 8x - 30

Distribute 3 into the parenthesis:
3x - 15 = 8x - 30

Add 15 to both sides:

3x = 8x - 15

Subtract 8x to both sides:

-5x = -15

Divide -5 to both sides:

x = 3

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HIGH POINT REWARD

Yuki888 [10]

Total number of seniors = 55 + 70 = 125
Number of seniors who plan to go to college = 55

Percentage of seniors who plan to go to college = 55/125 x 100 = 44%

Answer: 44%

3 0

3 years ago

The tables represent two linear functions in a system,

Alenkasestr [34]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

First table:

(-4, 26), (0, 10) → b = 10

$m=\dfrac{10-26}{0-(-4)}=\dfrac{-16}{4}=-4$

$\boxed{y=-4x+10}$

Second table:

(-4, 14), (0, 2) → b = 2

$m=\dfrac{2-14}{0-(-4)}=\dfrac{-12}{4}=-3$

$\boxed{y=-3x+2}$

We have the system of equations:

$\left\{\begin{array}{ccc}y=-4x+10&(1)\\y=-3x+2&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\-4x+10=-3x+2\qquad\text{subtract 10 from both sides}\\-4x=-3x-8\qquad\text{add 3x to both sides}\\-x=-8\qquad\text{change the signs}\\x=8\\\\\text{Put the value of x to (2):}\\\\y=-3(8)+2\\y=-24+2\\y=-22$

5 0

3 years ago

The graph below shows the height of a tunnel f(x), in feet, depending on the distance from one side of the tunnel x, in feet:

denis23 [38]

Part A) x-intercepts simply show that when the value of the function is zero. Vertex coordinates show that when the function obtains its maximum value. When x=50, function obtains its maximum value and it's 75. The function is increasing in the interval (0, 50) and decreasing in the interval (50, 100). In regard to the height and distance of the tunnel, these numbers show that decreasing and increasing intervals are symmetric. Each number from the intervals has its own pair in the corresponding interval and they are located in the same distance from the midpoint (50,75)

Part B) In order to calculate the average rate of change, we can first write the function. Using the information about the x-intercept and the vertex coordinates, we find that our function is $f(x)=-0.03x^{2}+3x$ .
Plugging 15 and 35 in x, we can find the values of the function, i.e.
$f(15)=38.25$ and $f(35)=68.25$ .
Then, the average change is $\frac{68.25-38.25}{35-15}=1.5$

4 0

3 years ago

Read 2 more answers

The equation tan(x- pi/3) is equal to _____.

kherson [118]

Answer:

Step-by-step explanation:

Using the expansion

tan(x - y) = $\frac{tanx-tany}{1+tanxtany}$ , then