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Evgen [1.6K]
3 years ago
15

Use the T-table below to determine 3 solutions to this equation: 4x - 2y = 8

Mathematics
1 answer:
kiruha [24]3 years ago
5 0
To solve this problem, we need to pick numbers from the table then this number will be substituted into the equation. But first, we equate the numbers such as below:
4x - 2y = 8
Transpose -2y to the right side such as:
4x = 8 + 2y
4x - 8 = 2y
(4x -8)/2 = y
2x - 4 =y
From the table, let us choose x = 0
y = 2x -4
y = 2(0) -4
y = -4
From the table, let choose another value of x such as x=1
y = 2(1) -4
y = 2 - 4
y = -2

This will prove that the values in the table are correct.

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6(1—a) =3(a—b)+1 4(b—2) =3a Consider the system of equations above. If (a, b) is the solution to the system, then what is the
Jet001 [13]
6-6a=3a-3b+1,    9a-3b=5
<span>4b - 8 =3a,           3a-4b=-8
</span> 
9a-3b=5
(3a-4b=-8 )*(-3 )

 
9a    -3b=    5
-9a+12b=+24
adding both equations
9b=29, b=29/9

3a=4b-8=4*29/9 -8=(4*29-8*9)/9 = 44/9
a=44/27
a-b=44/27 - 29/9=44/27 - 29*3/27=-43/27
this is a correct answer, unfortunately they do not have this choice, probably they made mistake somewhere. I even check the solution of equations by substitution values of a and b into equations

5 0
3 years ago
The ratio of Sara and Laila age was 5:4. 2 years later their ratio is 6:5. What is their current ages?
coldgirl [10]

Answer:

do no

Step-by-step explanation:

6 0
2 years ago
christen made $987 in tips last year $5,891 in wages and earned $786 in interest income what was her gross income lat year.
stiks02 [169]
Her gross Income was $7664

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3 years ago
A cube has a base of 9 in2 and height of 12 inches.
borishaifa [10]

Answer:

B is the best answer., formula for square is L²

6 0
3 years ago
Read 2 more answers
What is the 9th term of the following geometric sequence? 7/9,-7/3,7,-21,63 ??????
dmitriy555 [2]

Given:

The geometric sequence is:

\dfrac{7}{9},\dfrac{-7}{3},7,-21,63,...

To find:

The 9th term of the given geometric sequence.

Solution:

We have,

\dfrac{7}{9},\dfrac{-7}{3},7,-21,63,...

Here, the first term is:

a=\dfrac{7}{9}

The common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{\dfrac{-7}{3}}{\dfrac{7}{9}}

r=\dfrac{-7}{3}\times \dfrac{9}{7}

r=-3

The nth term of a geometric sequence is:

a_n=ar^{n-1}

Where, a is the first term and r is the common ratio.

Substitute a=\dfrac{7}{9},r=-3,n=9 to find the 9th term.

a_9=\dfrac{7}{9}(-3)^{9-1}

a_9=\dfrac{7}{9}(-3)^{8}

a_9=\dfrac{7}{9}(6561)

a_9=5103

Therefore, the 9th term of the given geometric sequence is 5103.

5 0
3 years ago
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