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Flauer [41]
3 years ago
5

A music school charges a registration fee in addition to a fee per lesson. Music lessons last 0.5 hour. The equation y = 40x + 3

0 represents the total cost y of x lessons. Find and interpret the slope and y-intercept of the line that represents this situation. Then, find four points on the line.
Mathematics
1 answer:
sergejj [24]3 years ago
3 0

Answer:

Step-by-step explanation:

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What is tje equation for the linear function whose graph contains the points (2,5) and (3,0) ?
dolphi86 [110]
In order to find a slope, there is an equation:

Y2-Y1/X2-X1

X1=2
X2=3
Y1=5
Y2=0

0-5= -5
3-2=1

Since slope is written as Y/X, slope would be-5/1 or simply, -5.

Now, we need to find the y-intercept.

To do this, shift the original equation:

Original equation: y=-5x+b

Shifted equation: b=y+5x

Now, plug in one of the points.

Let's use (2,5)

b=5+5(2)

5*2=10
10+5=15

y-intercept=15

So, the full equation of the line would be:

y=-5x+15
4 0
3 years ago
 A road has a 16.7% grade.<br>Why might we want to warn drivers of a grade like this?
never [62]
The higher the percentage, the steeper the grade and the steeper the hill. This warning is issued so drivers are more careful (otherwise they would probably get into more accidents).
8 0
3 years ago
4=-8p-7+9p find the solution to the equation or inequality?
andrey2020 [161]
Subtract 8p from 9p and then rewrite the equation. Then you add 7 to 4 and rewrite the equation again. Then you divide 1p by 11 and get p=11.
6 0
3 years ago
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below
Margaret [11]

Answer:

ALISSA

Step-by-step explanation:

Given the following scores :

NICO:

Score (x) = 81.6

Mean (m) = 72.6

Standard deviation (sd) = 15

EMILIO:

Score (x) = 225.3

Mean (m) = 205

Standard deviation (sd) = 29

ALISSA:

Score (x) = 8.08

Mean (m) = 7.2

Standard deviation (sd) = 0.4

STANDARDIZING THE DIFFERENT APTITUDE TEST SCORES:

OBTAINING THE ZSCORES :

Zscore = (x - mean) / standard deviation

NICO:

Zscore = (81.6 - 72.6) / 15

Zscore = 0.6

EMILIO:

Zscore = (225.3 - 205) / 29

Zscore = 0.7

ALISSA:

Zscore = (8.08 - 7.2) / 0.4

Zscore = 2.2

From the result of the Zscore, the best fit for the position is ALISSA

8 0
2 years ago
What is log Subscript 15 Baseline 2 cubed rewritten using the power property?
nalin [4]

Answer:

The equivalent expression

Step-by-step explanation:

Assuming your expression is \log_{15}2^3, then we can use the power property of logarithm , which is \log_ab^n=n\log_ab.

If we let a=15, b=2, and n=3

Then using the power property of logarithm will give us:

\log_{15}2^3=3\log_{15}2

Using the power property of logarithm, the equivalent expression is 3\log_{15}2

7 0
3 years ago
Read 2 more answers
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