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3 years ago

Scenarios of unit rates

Mathematics

1 answer:

Masja [62]3 years ago

8 0

Price per unit (gram, pound, ounce gallon)

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A line passes through the points (-3, 14) and (-1, 16). What is its equation in slope-intercept form?

timurjin [86]

Answer:

y = 6x + 22

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

Point (-3, 14)

Point (-1, 16)

Step 2: Find slope m

Substitute: $m=\frac{16-14}{-1+3}$
Subtract/Add: $m=\frac{12}{2}$
Divide: $m=6$

Step 3: Find y-intercept b

Define: y = 6x + b
Substitute: 16 = 6(-1) + b
Multiply: 16 = -6 + b
Isolate b: 22 = b
Rewrite: b = 22

Step 4: Write linear equation

y = 6x + 22

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3 years ago

Use the equation h=18j+19 to find the value of h when j=2.

allsm [11]

Answer:

Step-by-step explanation:

substitute 2 into j

so do 18 x 2= 36

36+19=55

j=55

6 0

3 years ago

Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made.

Alja [10]

Answer:

Step 1: She should have added 25 to both sides

6 0

3 years ago

Can someone please help me and explain how you got you answer please

Pavel [41]

y=2x+1

(2x) is the slope because the slope is going up the slope will be positive and the (1) is the y intercept which means where the slope crosses the vertical line

3 0

3 years ago

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The label on the cars antifreeze container claims to protect the car between -30C and 130C. To convert Celsius temperature to Fa

RideAnS [48]

C = 5/9(F - 32)

C = -30
-30 = 5/9(F - 32)
-30 = 5/9F - 160/9
-30 + 160/9 = 5/9F
-270/9 + 160/9 = 5/9F
-110/9 = 5/9F
-110/9 * 9/5 = F
- 990/45 = F
- 22 = F

C = 5/9(F - 32)
C = 130

130 = 5/9F - 160/9
130 + 160/9 = 5/9F
1170/9 + 160/9 = 5/9F
1330/9 = 5/9F
1330/9 * 9/5 = F
11970/45 = F
266 = F

So in Fahrenheit temp, the the car is protected between -22 F and 266 F

4 0

3 years ago

Read 2 more answers