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scZoUnD [109]
3 years ago
14

What is the solution to the system of equations below? 5 x + 2y = -3 3x + 6y = 6

Mathematics
1 answer:
Orlov [11]3 years ago
3 0
Eqn (1)*3: 15x + 6y = -9 -> Eqn (3)
Eqn (3) - Eqn (2): 12x = -15
x = -5/4 = -1 1/4
Eqn (2): -15/4 + 6y = 6
6y = 9 3/4
y = 1 5/8

x = -1 1/4
y= 1 5/8
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After 2 minutes an ant traveled 110 meters and after 7 minutes the ant will have traveled 260 meters. Assuming a linear equation
artcher [175]

Answer: y = 30x + 50

Step-by-step explanation:

let y be the distance traveled (in meters) after x minutes.

If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be

Slope, m = (260 - 110)/(7 - 2)

m = 150/5 = 30

The equation of the straight line can be represented in the slope-intercept form, y = mx + c

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c = intercept

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To determine the intercept, we would substitute x = 7, y = 260 and m = 30 into y = mx + c. It becomes

260 = 30 × 7 + c = 210 + c

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y = 30x + 50

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Step-by-step explanation:

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The given expression 8(4)^2+2^4 is equal to 144 or 12^2

<em><u>Solution:</u></em>

Given expression is:

8(4)^2+2^4

We have to evaluate the above given expression

We know that,

(4)^2 = 4 \times 4 = 16

2^4 = 2 \times 2 \times 2 \times 2=16

Substituting these in above given expression, we get

8(4)^2+2^4=8 \times 16+16\\\\8(4)^2+2^4= 128+16\\\\8(4)^2+2^4=144

Also we know that,

12 \times 12 = 144

Therefore,

8(4)^2+2^4=144 = 12 \times 12 = 12^2

Thus the given expression 8(4)^2+2^4 is equal to 144 or 12^2

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Answer:

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Step-by-step explanation:

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