Solve photo question, please. Mathematics.

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

3 0

Slope point form:
We need the slope "m" and a point (x₀,y₀)
y-y₀=m(x-x₀)

1)
we calculate the slope "m".
Given two points:
(x₁,y₁)
(x₂,y₂)
the slope "m" is:
m=(y₂-y₁) / (x₂-x₁)

In this case:
(4,10)
(6,11)
m=(11-10) / (6-4)=1/2

Now, we calculate the solpe point form.
(4,10)
m=1/2

y-y₀=m(x-x₀)
y-10=(1/2)(x-4)

we make the standard form
y-10=x/2 - 2

Lowest common multiple=2

2y-20=x-4
-x+2y=-4+20
-x+2y=16

Answer: -x+2y=16

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Whats the cost of each vegetable if 5 squash and 2 zucchini is $1.32

alex41 [277]

Answer:

Step-by-step explanation:

We first need to define a couple of variables. Let s = the cost of 1 squash and z = the cost of 1 zucchini.

Now lets translate the words into algebra:

"The cost of 5 squash and 2 zucchini is $1.32" ===> 5s + 2z = 1.32

"Three squash and 1 zucchini cost $0.75" ===> 3s + z = 0.75

There are several ways to solve systems of equations. Let's use substitution. We can find what z equals in terms of s by manipulating the second equation:

3s + z = 0.75

-3s -3s

------------ -------------

z = -3s +0.75

Now lets substitute (-3s + 0.75) into the first equation for z, then solve for s:

5s + 2(-3s + 0.75) = 1.32

Can you handle it from here?

(Hint: Once you have solved for s, you can substitute that value back into either of the equations and solve for z.)

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