All categories

3 years ago

What is the equation of the line with slope of – 5 and passes through (2, – 3)?

Mathematics

1 answer:

garik1379 [7]3 years ago

7 0

Answer:

y = -5x + 7

Step-by-step explanation:

Graph has a slope of -5, which is the gradient

y = -5x + c

To find c you have to sub in the point (2, -3)

-3 = -5(2) + c

-3 + 10 = c

c = 7

Hence equation is:

y = -5x + 7

You might be interested in

12x+24 is equivalent to 4(3x+6) because...

ANEK [815]

Answer:

you use disputation

Step-by-step explanation:

4 times 3x = 12x

4 times 6 = 24

4 0

3 years ago

Two payment options to rent a car: You can pay $20 a day plus 25¢ a mile (Option A) or pay $10 a day plus 50¢ a mile (Option B).

BaLLatris [955]

You must drive more than 40 miles to make option A the cheaper plan

Solution:

Two payment options to rent a car

Let "x" be the number of miles driven in one day

You can pay $20 a day plus 25¢ a mile (Option A)

25 cents is equal to 0.25 dollars

OPTION A : 20 + 0.25x

You pay $10 a day plus 50¢ a mile (Option B)

50 cents equal to 0.50 dollars

Option B: 10 + 0.50x

For what amount of daily miles will option A be the cheaper plan ?

For option A to be cheaper, Option A must be less than option B

Option A < Option B

$20 + 0.25x < 10 + 0.50x$

Solve the inequality

Add -0.50x on both sides

$20 +0.25x -0.50x < 10 + 0.50x - 0.50x\\\\20 - 0.25x < 10$

Add - 20 on both sides,

$20 - 0.25x - 20 < 10 - 20\\\\-0.25x < -10$

$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$

$0.25x > 10$

Divide both sides by 0.25

$x > 40$

Thus you must drive more than 40 miles to make option A the cheaper plan

7 0

3 years ago

Roxy is multiplying 1/8 by 4/3

Vera_Pavlovna [14]

Answer:

1/6

Step-by-step explanation:

Make the denominators the same by finding the lcm(least common denominator). The least common demominator would be 24. So multiply both numbers in 1/8 by 3. This would eaqual 3/24. Multiply both numbersin 4/3 by 8. This would equal $\frac{3}{24} * \frac{32}{24}$ = $\frac{96}{576}$ . Simplify 96/576 by dividing both numbers by 96.