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stellarik [79]
3 years ago
8

Write y = 4/3 * x - 2/3 in standard form Helpplppppp

Mathematics
1 answer:
raketka [301]3 years ago
3 0

Answer:

4x - 3y = 2

Step-by-step explanation:

First, let's review what "standard form" signifies:  Ax + By = C.

Starting with y = 4/3 * x - 2/3, multiply all three terms by 3 to eliminate the fractions:

3y = 4x - 2

Next, subtract 3y from both sides:

0 = 4x - 3y - 2.

It would be nice (tho' not essential) to have the coefficient of x positive.  That is why I've left 4x on the right side and subtracted 3y from both sides.

finally, add 2 to both sides, obtaining 4x - 3y = 2.  This is the equation in standard form.

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The Tran family and the Green family each used their sprinklers last summer. The water output rate for the Tran family's sprinkl
ser-zykov [4K]

Answer:

Tran family's sprinkler was used for 20 hours

Green's  family's sprinkler was used for 30 hours

Step-by-step explanation:

Let the hours for which Tran family's sprinkler used is x hours

water output rate for the Tran family's sprinkler = 35L per hour

water output from  Tran family's sprinkler in x hours = 35*x L = 35x

Let the hours for which Green family's sprinkler used is y hours

water output rate for the Green family's sprinkler = 40L per hour

water output from  Green family's sprinkler in x hours = 40*y L = 40y

Given

The families used their sprinklers for a combined total of 50 hours

thus

x + y = 50 -------------------equation 1

y = 50-x

total water output of 1900L

35x+40y = 1900  -------------------equation 1

using  y = 50-x in equation 2, we have

35x + 40(50-x) = 1900

35x + 2000 - 40x = 1900

=> -5x = 1900 - 2000 = -100

=> x = -100/-5 = 20

y = 50-20 = 30

Thus,

Tran family's sprinkler was used for 20 hours

Green's  family's sprinkler was used for 30 hours

4 0
3 years ago
What are the zeros for each function ? f(x) = 2(x+1)(x-3)(x-1) ^2 (squared)
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Which pair of angles are congruent?<br> A) 1 and 8 <br> B) 4 and 6 <br> C) 5 and 6 <br> D) 1 and 7
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Answer:

A

Step-by-step explanation:

because it makes more sense

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Stan wants to start an IRA that will have $250,000 in it when he retires in 25 years. How much should he invest semiannually in
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What is the solution(s) to the system of equations y = x² +4 and y = 2x + 4
bija089 [108]

Answer:

(x,y) = (0,4)~ \text{and}~ (x,y) = (2,8)

Step by step explanation:

y = x^2 +4~~~~~~~~~...(i)\\\\y = 2x +4~~~~~~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~x^2 +4 = 2x+4\\\\\implies x^2 = 2x\\\\\implies x^2 -2x = 0\\\\\implies x(x-2) = 0\\\\\implies x =0,~ x = 2

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2 years ago
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