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amid [387]
3 years ago
10

What is the equation of the line that passes through point (4, 12) and has a y- intercept of -2?

Mathematics
1 answer:
Elan Coil [88]3 years ago
5 0

Answer:

y = (7/2)x - 2

Step-by-step explanation:

Use slope-intercept formula for linear equations y = mx + b

x and y show what points are on the line. We know (4, 12). x= 4 and y = 12

b is the y-intercept, which b = -2.

m is the slope.

To write the equation, you need the slope and y-intercept. Find the slope by putting x, y and b into the formula.

y = mx + b

12 = 4m - 2

14 = 4m

14/4 = m

m = 7/2

Put "m" into the formula with "b"

y = (7/2)x - 2

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Answer:

Nice. What is the question?

Step-by-step explanation:

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3 years ago
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Amanda [17]

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-2

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PLEASE HELP!! I WILL BRAINLIEST
ArbitrLikvidat [17]

Answer:

81.8%

Step-by-step explanation:

Mean = \mu = 40

Standard deviation = \sigma = 5

Now we are supposed to find out what percent of the numbers fall between 35 and 50

z = \frac{x-\mu}{\sigma}

Substitute the values

z = \frac{x-40}{5}

Now for P(35<x<50)

Substitute x = 35

z = \frac{35-40}{5}

z =-1

Substitute x = 50

z = \frac{50-40}{5}

z =2

So, P(-1<z<2)

P(z<2)-P(z<-1)

=0.9772-0.1587

=0.8185

= 0.818 \times 100

=81.8%

Hence  81.8% percent of the numbers fall between 35 and 50

7 0
3 years ago
HELP PLEASEEE!!!
kodGreya [7K]

Answer: The correct answers are $45.15, $247.25 and $129

Step-by-step explanation:

In order to solve the problems you need to multiply each percentage by his gross monthly pay.

$2,150 x .021 = $45.15

$2,150 x .115 = $247.25

$2,150 x .06 = $129

4 0
3 years ago
The school theater department made $2,142 on ticket sales for the three nights of their play. The department sold the same numbe
anyanavicka [17]

Answer:

102 tickets

Step-by-step explanation:

Let's say the total number of tickets sold is n.

7n = 2142

 n = 2142 ÷ 7

 n = 306

They sold 306 tickets in total.

We want to know how much they sold per night. We know they sold the same number of tickets each night for three nights.

306 ÷ 3 = 102

Therefore, they sold 102 tickets each night.

I hope this helps :)

6 0
3 years ago
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