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kicyunya [14]
3 years ago
12

Use slope-intercept form to write the equation of a line

Mathematics
1 answer:
Korvikt [17]3 years ago
8 0

Answer:

y=-3x-2

Step-by-step explanation:

There is enough information to make a point-slope form equation that which we can convert into slope-intercept form.

Point-slope form is: y-y_1=m(x-x_1)

We are given the slope of -3 and the point of (1,-5).

y-y_1=m(x-x_1)\rightarrow y+5=-3(x-1)

Convert into Slope-Intercept Form:

y+5=-3(x-1)\\y+5-5=-3(x-1)-5\\\boxed{y=-3x-2}

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Anyone know how to solve?
sergejj [24]

Answer:

was there more

Step-by-step explanation:

(i will edit answer)

3 0
2 years ago
Determine the domain and range of the given function
Neporo4naja [7]

Answer:

List all of the solutions.

T

y

=

4

=

2

=

x

=

−

2

=

2

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4

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Step-by-step explanation:

3 0
3 years ago
Sarah is driving. Her distance in km from Tempe after t hours of driving is given by: x = D(t) = 13 + 57t
777dan777 [17]

Answer:

The solutions for your four question problem are:

a) t = D^-1(x) =  (1/57)*x -(13/57)

b) t = D^-1(x) =  1 h

c) D^-1(x) represents time.

d) The number of hours of driving needed for Sarah to be x km from Tempe. (option (c))

Step-by-step explanation:

a) Determine a formula in terms of x for: t = D^-1(x)

The distance in km from Tempe after t hours of driving is given by

x = D(t) = 13 + 57t.

We just need to find the value  t function of x

x = 13 + 57*t

x -13 =  57*t

57*t  = x -13

t = (1/57)*x -(13/57)

We can see the plots of both equation in the picture below.

b) Compute D^-1(70)

Once we find the expression for D^-1(x)

We substitute for x = 70 km

t = D^-1(x) =  (1/57)*x -(13/57)

t = D^-1(x) =  (1/57)*(70) -(13/57)

t = D^-1(x) =  (70/57) -(13/57)

t = D^-1(x) =  (1.228) -(0.228)

t = D^-1(x) = 1 h

c) In the expression D^-1(x) :  what quantity (distance or time) does the x represent?  what quantity (distance or time) does the entire D^-1(x) represent?

x represents Distance in both equations (D(t), and D^-1(x))

t represents Time in both equations (D(t), and D^-1(x))

Since t = D^-1(x),

D^-1(x) represents time.

d) Which of the following statements best describes D^-1(x)?

The number of hours of driving needed for Sarah to be x km from Tempe.

Since, t = D^-1(x), and t represents the amount of time elapsed since Sarah, parted from Tempe, the correct answer is option (c)

The expression for D^-1(x) can be found in the previous answers

t = D^-1(x) =  (1/57)*x -(13/57)

The input is x (distance) and the output is t (time)

6 0
3 years ago
tom and tammy race cross country on motor bikes to drive 450 miles in 9 hours. Tammy took 7 1/2 hours to travel the same distanc
Scilla [17]

Answer:

50 and 60 mph respectively

Step-by-step explanation:

Step one:

given data

total distance= 450 miles

time take= 9 hours

Required

Tom and Tammy's average speed

Step two:

Tom's average speed= 450/9

= 50 miles per hours

Tammy's average speed= 450/7.5

= 60 miles per hours

7 0
2 years ago
3. What are the next three terms of the sequence. 6, 12, 18, 24, ...?
Wewaii [24]

Answer:

O 30, 36, 42

Step-by-step explanation:

6 = 1 × 6, 12 = 2 × 6, 18 = 3 × 6, 24 = 4 × 6, ? = 5 × 6 = <u>30</u>, ? = 6 × 6 = <u>36</u>, ? = 7 × 6 = <u>42</u>

6 0
2 years ago
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