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2 years ago

6.) SAT Practice:

Mathematics

1 answer:

Vesna [10]2 years ago

6 0

The answer is 2/3.

Good luck!

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Which is the approximate solution to the system y = 0.5x + 3.5 and y = − 2/3 x + 1/3 shown on the graph? (–2.7, 2.1) (–2.1, 2.7)

AlekseyPX

Answer:

The approximate solution to the system is $(-2.7, 2.1)$ .

Step-by-step explanation:

To solve the system of equations $\begin{bmatrix}y=0.5x+3.5\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}$ you must:

$\mathrm{Rationalize\:equations}\\\\\begin{bmatrix}y=\left(\frac{1}{2}\right)x+\left(\frac{7}{2}\right)\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}$

$\mathrm{Subsititute\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\begin{bmatrix}-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\end{bmatrix}$

$\mathrm{Isolate}\:x\:\mathrm{for}\:-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\\\\-\frac{2}{3}x=\frac{19}{6}+\frac{1}{2}x\\\\-\frac{7}{6}x=\frac{19}{6}\\\\6\left(-\frac{7}{6}x\right)=\frac{19\cdot \:6}{6}\\\\-7x=19\\\\x=-\frac{19}{7}\approx-2.7$

$\mathrm{For\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\mathrm{Subsititute\:}x=-\frac{19}{7}\\\\y=-\frac{2}{3}\left(-\frac{19}{7}\right)+\frac{1}{3}\\\\y=\frac{15}{7}\approx 2.1$

The approximate solutions to the system of equations are:

$x=-2.7 ,\:y=2.1$

5 0

3 years ago

Read 2 more answers

Which equation represents the graph below? A. y=3x-2 B.y=-2x+3 C.y=3x-2 D.2x+3

KatRina [158]

Answer:

Step-by-step explanation:

5 0

3 years ago

Please help me the question is. Marco's grandmother and his uncle both called Marco today.

VMariaS [17]

Answer:

18 days until they both call him on the same day

Step-by-step explanation:

The common multiples of 6 and 9 is 18, 36, 54, etc. 18 is the first common multiple so Marco's grandparents willl call Marco on the 18th day. please boost me

3 0

2 years ago

What equation is equivalent to 3(a+4)-5(a-2)=22?

Nata [24]

Answer:

a = 0

Step-by-step explanation:

=> 3(a+4)-5(a-2) = 22

Opening Brackets

=> 3a+12-5a+10 = 22

=> 3a-5a+12+10 = 22

=> -2a+22 = 22

Subtracting 22 to both sides

=> -2a = 0

Dividing both sides by -2

We get,

=> a = 0

7 0

2 years ago

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Delicious77 [7]

Answer:

Step-by-step explanation: if you're add 6 and 7 you get 13 so just add all the numbers and you get the answer

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3 years ago