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3 years ago

Suppose we have a linear equation relating y and x defined by

Mathematics

1 answer:

Alexxandr [17]3 years ago

8 0

Answer:

(a) f(x) = -3x +6

Step-by-step explanation:

Solve for y, then write as a function.

3y +9x = 18 . . . . . . given

y +3x = 6 . . . . . . . . divide by 3

y = -3x +6 . . . . . . . subtract 3x

f(x) = -3x +6 . . . . . written using function notation

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Olivia ran 1.4 miles on Saturday and 2.1 miles on Sunday. How many miles did Olivia run altogether on Saturday and Sunday.

zimovet [89]

Olivia ran 3.5 miles in Saturday and Sunday

5 0

3 years ago

Graph a line with a slope of 1/4 that contains the point (6,3)

drek231 [11]

Answer:

y=1//4x+1.5

Step-by-step explanation:

3=1/4(6) +C

3=1.5+C

3-1.5=C

1.5=c

8 0

3 years ago

Write the slope-intercept form of the equation of each line?

Ivenika [448]

Problem 1

It appears the line is going through the points (-1,-4) and (0,5)

Let's find the slope

$(x_1,y_1) = (-1,-4) \text{ and } (x_2,y_2) = (0,5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{5 - (-4)}{0 - (-1)}\\\\m = \frac{5 + 4}{0 + 1}\\\\m = \frac{9}{1}\\\\m = 9\\\\$

The slope is 9

The y intercept is b = 5 as this is where the graph crosses the y axis.

We go from y = mx+b to y = 9x+5

<h3>Answer: y = 9x+5</h3>

=======================================================

Problem 2

This line goes through the points (0,4) and (5,5)

We'll follow the same exact steps as before

First we need the slope

$(x_1,y_1) = (0,4) \text{ and } (x_2,y_2) = (5,5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{5 - 4}{5 - 0}\\\\m = \frac{1}{5}\\\\$

The y intercept is the y coordinate of (0,4) so it's b = 4

<h3>Answer: $y = \frac{1}{5}x+4$ </h3>

4 0

2 years ago

In 1971, the average price of gasoline was $0.36 per gallon. In 2020, the average price of gasoline was $2.32 per gallon. a. Wha

lara31 [8.8K]

Answer:

1. a. 544%

b. 84%

2. 175

3. $867.18

Step-by-step explanation:

1. a.2.32-0.36=1.96

1.96/0.36=5.44

5.44*100=544

b. 1.96/2.32=0.84

0.84*100=84

2. let x = # of 7th graders

let y = # of 8th graders

y is 125% of x

y=1.25x

x=140

y=1.25*140

y=175

3. A=P(1+r)^t

A=700(1+0.055)^4

A=867.18

6 0

3 years ago

Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hu

netineya [11]

Given:
y = mx + b

m = slope
b = y-intercept.

m = 1.35

x = 13

25.43 = 1.35(13) + b
25.43 = 17.55 + b
b = 25.43 - 17.55
b = 7.88

y = 1.35(19) + 7.88
y = 25.65 + 7.88
y = 33.53

The monthly cost for 19HCF is $33.53

8 0

3 years ago