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bija089 [108]
3 years ago
8

What values of x and y satisfy x − 3y = 4 and 2x + y = 7 simultaneously?

Mathematics
1 answer:
Gnom [1K]3 years ago
6 0
We have:

x - 3y = 4

Pass -3y to the second member of equation

x = 4 + 3y

Now replace on the other equation tge value of x

2x + y = 7

2.(4 + 3y) + y = 7

Do the diatributive

2 ×4 + 2×3y + y = 7

8 +6y+y = 7

8 + 7y = 7

7y = 7 - 8

7y = - 1

y = -1/7

Now replace y = -1/7 in any equation

x = 4 + 3y

x = 4 + 3 . -1/7

x = 4 -3/7

x = (4×7 -3)/7

x = 25/7
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Find the indicated sum. Select your choice and click Submit to check your answer.
Ivahew [28]

Answer:

S_4=50

Step-by-step explanation:

Sum Of Arithmetic Sequence

Given an arithmetic sequence

a_1,\ a_1+r,\ a_1+2r,....,\ a_1+(n-1)r

The sum of the n first terms is

\displaystyle S_n=\frac{(a_1+a_n)n}{2}

Or equivalently

\displaystyle S_n=\frac{[2a_1+(n-1)r]n}{2}

The given sequence is

5, 8, 11 ...

We can see the common difference between terms is r=3

We are asked to find the sum of the terms 2 to 5, it means that

a_1=8, n=4, r=3

\displaystyle S_4=\frac{[2(8)+(4-1)3]4}{2}

\displaystyle S_4=\frac{100}{2}

\boxed{S_4=50}

3 0
3 years ago
Which of the binomial below is a factor of this trinomial 4x^3-20x^2+24x
Kaylis [27]
4x^3-20x^2+24x

4x (x^2-5x+6)

4x(x-2)(x-3)

(b)x-3
6 0
3 years ago
Read 2 more answers
Graph, and find the vertex and zeros.<br> 1. y = (x + 3) (x + 1)
Kay [80]
Vertex: (-2,-1)
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5 0
3 years ago
Let f(x) = - 13x + 12 and g(x)= x² + 2.--Find f(3)/g(3).f(3)/g(3) = (?)(Type an integer or a simplified fraction.)
mel-nik [20]

We have the next two equations:

f(x)=-13x+12

And

g(x)=x^2+2

We need to find f(3)/g(3)

First, let's find f(3):

f(3)\text{ = -13(3)+12 = -27}

Then g(3):

g(3)=(3)^2+2\text{ = 11}

Now, the equation f(3)/g(3) :

\frac{f(3)}{g(3)}=\frac{-27}{11}

-27/11 is the result.

3 0
1 year ago
I’ll gift u a milf if you answer
Sveta_85 [38]

Answer:

x = - \frac{11}{2}

divide each term by two and simplify.

Give me my milf.

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3 years ago
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