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3 years ago

What is the equation of the line in slope-intercept form?

Mathematics

1 answer:

Umnica [9.8K]3 years ago

8 0

Answer:

y = -3x + 4

Step-by-step explanation:

y = mx + b

y = y coordinate

m = slope (rise/run, up/over, change in y/change in x)

x = x coordinate

b = y intercept (where the line crosses the y-axis.

1. Write the equation y = mx + b

2. Substitute the numbers in the proper place. y = 3/1 x + 4

3. Check for the type of slope- (positive or negative) y = -3x + 4

(Downhill slopes are always negative.)

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A recent drug survey showed an increase in use of drugs and alcohol among local high school students as compared to the national

GaryK [48]

Answer:

We fail to reject H0

Step-by-step explanation:

Null hypothesis : H0 : Plocal ≤ Pnational

Alternative hypothesis : H1 : Plocal > Pnational

Plocal = P1 = 65/100 = 0.65

Pnational = P2 = 61/100 = 0.61

n1 = 100 ; n2 = 100

Mean, m = P1 - P2 = 0.65 - 0.61 = 0.04

The standard deviation : = sqrt(Variance)

Variance = P1(1 - P1) /n1 + P2(1 - P2) /n2

Variance = 0.65(0.35)/100 + 0.61(0.39)/100

Variance = 0.002275 + 0.002379 = 0.004654

Standard deviation (s) = √(0.004654) = 0.06822

Z = m/s = 0.04 / 0.06822 = 0.586

Using the p-value from Z score calculator :

Hence, Pvalue for a Zscore 0.586 at 5% = 0.278938

Since ;

P-value is > α ; 0.278938 > 0.05

Then we fail to reject H0

4 0

3 years ago

A company can make 12 printing presses for $78,600. It can make 19 printing presses for $82,380. Find the linear equation that m

8_murik_8 [283]

Answer:

$C(x) = 540x + 72120$

Step-by-step explanation:

Given

Cost = $78,600 when Printing Press = 12

Cost = $82,380 when Printing Press = 19

Required

Determine the linear equation

From the given parameters; Cost is a function of Printing Press

Represent Cost by C and Printing press by x;

This implies that C = f(x)

The given parameters can then be modeled as; $(x, C)$

$(x_1, C_1) = (12,78600)$

$(x_2, C_2) = (19,82380)$

The first step is to calculate the slope, m;

$m = \frac{C_1 - C_2}{x_1 - x_2}$

$m = \frac{78600 - 82380}{12 - 19}$

$m = \frac{-3780}{-7}$

$m = 540$

The linear equation can then be calculated using slope formula

$m = \frac{C- C_2}{x - x_2}$

Substitute 540 for m and $(x_2, C_2) = (19,82380)$

$540 = \frac{C- 82380}{x - 19}$

Multiply both sides by x - 19

$540 * (x-19)= \frac{C- 82380}{x - 19} * (x-19)$

$540 * (x-19)= C- 82380$

Open bracket

$540x - 10260 = C - 82380$

Add 82380 to both sides

$540x - 10260 + 82380= C - 82380 + 82380$

$540x - 10260 + 82380= C$

$540x + 72120= C$

$C = 540x + 72120$

Hence;

$C(x) = 540x + 72120$

4 0

3 years ago

Find the value of given expression <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B242%7D%7B2%7D%20%7D%20" id

dangina [55]

Answer:

the answer is 11

Step-by-step explanation:

4 0

3 years ago

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Adrian made the cakes shown below for a 3 cakes at the party Adrian will serve each guest 1/8 of a cake what is the greatest num

nikdorinn [45]

Answer:

24 Guests

Step-by-step explanation:

3 x 8 = 24.

4 0

3 years ago

Find the sum of the first 12 terms of the sequence 512, 256, 128, … This is infinite series notation, the answer is NOT 896...

postnew [5]

Answer:

1023.75

Step-by-step explanation:

The sum of a geometric sequence is

sum = a( 1 - r^n) / (1-r)

where a is the first term r is the common ratio and r^n is the nth term

We need to find the common ratio

r = 256/512 = 1/2

sum = 512 ( 1 - 1/2^12) / ( 1-1/2)

=512( 1-.000244141) / (.5)

=512(.999755859) /.5

=1023.75

7 0

3 years ago

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