Find the equation for the line that passes through (-7,5) that has a slope of 2

Mathematics

2 answers:

Setler79 [48]3 years ago

7 0

Point slope formula y-y1=x(x-x1)

marysya [2.9K]3 years ago

6 0

Answer:

y=mx+b

5=2(-7)+b

5= -14+b

b= 5+14

b = 19

equation --> y=2x+19

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A customer buys 15.5 cheese pizzas which are $10.50 each. What is the total? Round it to the nearest hundredth.

Cerrena [4.2K]

First of all, how do you buy exactly 15.5 pizzas?
what is a 0.5 pizza?

anyway

cost=cost per pizza times number of pizzas
cost per pizza=10.50
number of pizzas=15.5

cost=10.50 times 15.5
cost=162.75

total cost is $162.75

5 0

3 years ago

Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work together, it takes them 2 hours. How

aalyn [17]

Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood = K hrs

So, the per hour rate of Dwight = $(\frac{1}{K})$

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood = (K- 3) hrs

So, the per hour rate of Joe = $(\frac{1}{K-3})$

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them = $(\frac{1}{2})$

⇒ Per hour rate of ( Dwight + Joe) = $(\frac{1}{2} )$

$\implies (\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})$

Now, solving for the value of K , we get:

$(\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})\\\implies \frac{(K-3) + K}{K (K-3)} = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K + 6= 0\\\implies K^2 - 6K - K + 6= 0\\\implies K(K-6) -1(K - 6)= 0\\\implies (K-6)(K-1) = 0$