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Mars2501 [29]
3 years ago
5

Which equation represents the line through (4, -6) and (0,2)

Mathematics
1 answer:
Travka [436]3 years ago
6 0

Answer:

y = - 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (0, 2 )

m = \frac{2-(-6)}{0-4} = \frac{2+6}{-4} = \frac{8}{-4} = - 2

The line crosses the x- axis at (0, 2 ) ⇒ c = 2

y = - 2x + 2 ← equation of line

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Lady_Fox [76]

Given:

A car traveled 150 km in 3 hour.

To find:

The unit rate.

Solution:

We have,

Distance = 150 km

Time = 3 hours.

In this case speed is the unit rate.

Speed=\dfrac{Distance}{Time}

Substituting the given values, we get

Speed=\dfrac{150\text{ km}}{3\text{ hr}}

Speed=50\text{ km/h}

Therefore, the unit rate is 50 km/h.

4 0
4 years ago
Write a mixed number between 4 and 5, and then write its reciprocal.
11Alexandr11 [23.1K]

Answer:

4\frac{1}{2} and it's reciprocal is \frac{2}{9}

Step-by-step explanation:

4.5 is a number in between 4 and 5, as a fraction it is written as 4\frac{1}{2}. To get the reciprocal you need to change it to an improper fraction so it becomes \frac{9}{2}. The reciprocal will be 1 ÷ \frac{9}{2}. This literally means the number will just invert and become \frac{2}{9}

6 0
3 years ago
If f(x) = 3x – 2 and g(x) = 2x + 1, find (f – g)(x).
aliina [53]
A 3-x because 3 equal f and g equal x for the second equation

7 0
4 years ago
Read 2 more answers
Can someone help me with this i got the question wrong the first time so its not 7.50
Sedaia [141]

Answer: $7.6502

Step-by-step explanation:

Grape cost $1.19 per pound. 3.16 pounds are bought. The total amount paid for grape will be:

= $1.19 × 3.16

= $3.7604

Peaches cost $1.29 per pound. 1.35 pounds are bought. The total amount paid for peaches will be:

= $1.29 × 1.35

= $1.7415

Peers cost $0.99 per pound. 2.17 pounds are bought. The total amount paid for pears will be:

= $0.99 × 2.17

= $2.1483

Total bill paid will be:

= $3.7604 + $1.7415 + $2.1483

= $7.6502

4 0
3 years ago
What is the linear equation of (1,6) (2,4) (3,2) (4,0)
exis [7]

Answer:

y = -2x + 8

Step-by-step explanation:

4 0
3 years ago
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