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Serhud [2]
2 years ago
15

June is driving from brookline, massachusetts to brooklyn, new york. The cities are 200 miles apart. Pretend june lives in a wor

ld in which she encounters no traffic jams and can drive at a constant speed of 50mph the entire way. Consider the following function. the distance june has traveled, c, is a function of her driving time, t.
write a formula that describes this function
Mathematics
1 answer:
dolphi86 [110]2 years ago
6 0

The formula that describes this function is c = 50t + 200

<h3>What is a Linear equation</h3>

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change  and b is the y intercept.

Let c represent the distance june has traveled after time t.

Since the cities are 200 miles apart, hence b = 200. Also the spoeed is 50 mph, hence m = 50:

c = 50t + 200

The formula that describes this function is c = 50t + 200

Find out more on Linear equation at: brainly.com/question/14323743

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2.
Gnesinka [82]

Answer:

C. –x + 8y = 56

Step-by-step explanation:

Write in standard form.

x  −  8 y  =  − 56

This is a linear function in the slope - intercept form:

y = m x + b and we need a standard form:

a x + b y = c

y = 1/8 x + 7   / * 8 ( we will multiply both sides of equation by 8 )

8 y = x + 56

- x + 8 y = 56  / * ( - 1 )

x - 8 y = - 56

The equation is  y = 1/8x + 7

Standard form equation is Ax + By = C,  where A > = 0.

First eliminate the fractions by multiplying the equation by 8

8y = x + 56

Subtract x from each side

-x + 8y = 56

SInce x coeficient can't be negative multiply the equation by negative one.

x - 8y = -56

4 0
3 years ago
Determine whether AB←→ and CD←→− are parallel, perpendicular, or neither. A(−1, −4), B(2, 11), C(1, 1), D(4, 10)
Paladinen [302]
Slope of AB
m = (y2 - y1)/(x2 - x1)
m = (11 - (-4))/(2 - (-1))
m = (11 + 4)/(2 + 1)
m = 15/3
m = 5
The slope of line AB is 5

Slope of CD
m = (y2 - y1)/(x2 - x1)
m = (10 - 1)/(4 - 1)
m = 9/3
m = 3
The slope of CD is 3

Since the two slopes are not equal, this means the lines are not parallel.
Since (slope of AB)*(slope of CD) = 5*3 = 15 is not equal to -1, this means the lines are not perpendicular

Answer: Neither (not parallel; not perpendicular)

4 0
4 years ago
Simplify the equation <br><br> (-0.75x - 3) -(3.5x +8.4 )
sveta [45]
-2.77x - 11.4. Is the answer to your question
8 0
3 years ago
Read 2 more answers
Solve the system of linear equations by substitution for x and y
JulijaS [17]

Answer:

(10,5)

Step-by-step explanation:

●x+(-3)=7

x=7+3

x=10

●3x+4y=-10

3(-3y)+4y=-10

-6y+4y=-10

-2y=-10

y=5

6 0
3 years ago
Daniel had a small bag of erasers. The bag contained 15 blue, 10 purple, 8 yellow, 13 green, and 4 red erasers. He picked one of
worty [1.4K]
<span>the probability for a purple is 10 </span>
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3 years ago
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