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3 years ago

Write an equation for the line that is parallel to the given line and that passes through the given point. y = –5x + 3; (–6, 3)

Mathematics

2 answers:

Kay [80]3 years ago

5 0

Answer:

Step-by-step explanation:

y = –5x + 3

slope of the given line by comparing with y=mx+b is

m= - 5

Concept is that the slope of parallel lines are equal so we need a line with slope same as m=-5

and passes through point (-6,3)

Equation using the point slope equation

y-3 = -5 (x-(-6))

y-3=-5(x+6)

y-3= -5x-30

y= -5x -27

Nutka1998 [239]3 years ago

3 0

You would need a new y-intercept in order for this to be parallel. So you use the points given and the slope and fill it in. 3=-5(-6)+b. 3=30+b. Then subtract 30 from both sides. -27=b. Then just put it all back into slope intercept form. y=-5x-27.

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If a customer at a particular grocery store uses coupons, there is a 50% probability that the customer will pay with a debit car

AlexFokin [52]

Answer:

A. 0.52

Step-by-step explanation:

Let D be the event that person used Debit card and C b the event that person used coupon.

We have to find the probability of customer does not use coupons given that a customer does not pay with a debit card,

P(C'/D')=P(C')P(D'/C')/[P(C')P(D'/C')+P(D')P(D'/C')]

We are given that P(D)=0.35, P(C)=0.30 and P(D/C)=0.5.

P(D')=1-0.35=0.65

P(C')=1-0.3=0.7

P(D'/C')=0.5.

P(C'/D')=0.7(0.5)/[0.7(0.5)+0.65(0.5)]

P(C'/D')=0.35/[0.35+0.325]

P(C'/D')=0.35/0.675

P(C'/D')=0.5185=0.52

Thus, the probability of customer does not use coupons given that a customer does not pay with a debit card is 0.52.

4 0

3 years ago

4+2×1+3? How do u solve this please?

Bad White [126]

Answer:

Step-by-step explanation:

PEMDAS multiply 2 times 1 then add 4 and 3

7 0

2 years ago

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Write a problem involving money and 1,350

Olegator [25]

Someone has 1350 dollars and he put it in the bank. then someone robbed him

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3 years ago

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Find the length of the prism if the width is 12 feet, the height is 18 feet, and the volume of the prism is 3240 cubic feet.

olga55 [171]

Known :

w = 12 feet

h = 18 feet

V = 3.240 feet³

Asked :

l = ...?

Answer :

V = l × w × h

3240 = l × 12 × 18

3240 = 216 l

l = 3240 ÷ 216

l = <u>1</u><u>5</u><u> </u><u>feet</u>

So, the length is 15 feet

<em>Hope it helps and is useful</em><em> </em><em>:</em><em>)</em>

8 0

3 years ago

Easy Sample Ap graphing 50pts! (Easy points!!) (ASAP) (URGENT) (Please check my other questions) Please

snow_lady [41]

Answer:

a) See attachment 1.

b) t² and D

c) See attachment 2.

d) g = 9.8 m/s² (1 d.p.)

Step-by-step explanation:

See attachment 1. The line of best fit is shown in red.

The quantities the student should graph in order to produce a <u>linear relationship</u> between the two quantities are t² and D.

Make a table of values of t² and D:

$\begin{array}{|l|l|l|l|l|l|}\cline{1-6} \rm t^2& 0.0196& 0.1024& 0.2116 & 0.3481& 0.3969\\\cline{1-6} \rm D & 0.10 & 0.50& 1.00 & 1.70 & 2.00\\\cline{1-6}\end{array}$

<u>Plot</u> a graph of D against t² and draw a line of best fit (see attachment 2).

From inspection of the graph, the line of best fit passes through the origin (0, 0) and (0.1024, 5.0). Therefore, use these two points to find the slope of the line:

$\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0.5-0}{0.1024-0}=4.8828125...\:\rm m/s^2$

Therefore:

$\rm \implies \dfrac{1}{2}g=4.8828125...\:\rm m/s^2$

$\rm \implies g=2 \cdot 4.8828125...\:\rm m/s^2$

$\rm \implies g=9.8\:\rm m/s^2\:(1\:d.p.)$

5 0

1 year ago