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Elodia [21]
3 years ago
11

Solve the equation for y: x + 2y = 7​

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
5 0

Answer:

y = (7 - x) / 2

Step-by-step explanation:

You isolate the y by subtracting the x

2y = 7 - x

and then you divide by two to get the answer to y

(7 - x) / 2

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Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a math
alex41 [277]

Answer:\frac{8}{3}\times \sqrt{\frac{2}{5}}

Step-by-step explanation:

Given two upward facing parabolas  with equations

y=6x^2 & y=x^2+2

The two intersect at

6x^2=x^2+2

5x^2=2

x^2=\frac{2}{5}

x=\pm \sqrt{\frac{2}{5}}

area  enclosed by them is given by

A=\int_{-\sqrt{\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left [ \left ( x^2+2\right )-\left ( 6x^2\right ) \right ]dx

A=\int_{\sqrt{-\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left ( 2-5x^2\right )dx

A=4\left [ \sqrt{\frac{2}{5}} \right ]-\frac{5}{3}\left [ \left ( \frac{2}{5}\right )^\frac{3}{2}-\left ( -\frac{2}{5}\right )^\frac{3}{2} \right ]

A=\frac{8}{3}\times \sqrt{\frac{2}{5}}

7 0
3 years ago
Mr. Juarez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. Th
olga_2 [115]

Answer:

$576.80

Step-by-step explanation:

We have been given that Mr. Juárez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest.

We are asked to find the total amount that Mr. Juárez will have in his account at the end of 3 years.

We will use simple interest formula to solve our given problem.

A=P (1+rt)

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert 1% into decimal form,

1%=1/100=0.01

P=$560 and t=3

A=$560 (1+0.01(3))

A=$560 (1+0.03)

A= $560 (1.03)

A= $576.80

Therefore, Mr. Juárez will have $576. 80 in his account at the end of 3 years. Hope this helps!

5 0
3 years ago
2x ^ 2 - 6x + 3??<br> Please help
Andre45 [30]

Answer:

-2x+3 is the answer of this

4 0
3 years ago
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What is the measure of the vertex angle of an isosceles triangle if one of its base angle measures 34° and it’s congruent sides
KIM [24]

Let the vertex angle be x.

Base angles in the isosceles triangle are congruent.

Let the base angles be α=34°

Total sum of the inner angles in the triangle is 180°.

We can make equation

2α+x=180° => x=180-2α=180-68=112

The measure of the vertex angle is 112°

Good luck!!!

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nirvana33 [79]

Answer:

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