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Leviafan [203]
3 years ago
12

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  

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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

<em><u>Solution:</u></em>

Two payment options to rent a car

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

<em><u>You can pay $20 a day plus 25¢ a mile (Option A)</u></em>

25 cents is equal to 0.25 dollars

OPTION A :  20 + 0.25x

<em><u>You pay $10 a day plus 50¢ a mile (Option B)</u></em>

50 cents equal to 0.50 dollars

Option B: 10 + 0.50x

<em><u>For what amount of daily miles will option A be the cheaper plan ?</u></em>

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.

<u>96</u> ÷ 96 = <u>  1  </u>                                                                                                              576 ÷ 96 = 6 and that becomes 1/6.

6 0
3 years ago
The following table shows the number of snow days each school district in Mill County had last winter.
shtirl [24]

Answer:

The answer is 5.

Step-by-step explanation:

7 0
3 years ago
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The sum or difference of p and q is the of the x-term in the trinomial.​
babymother [125]

Answer:

coefficient..........

4 0
2 years ago
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