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IgorC [24]
2 years ago
14

What is the solution for r in the following system of equations? 2x + 3y = 16 2 + 2y = 10

Mathematics
1 answer:
klio [65]2 years ago
8 0

Answer:

(2,4)

*View attached graph*

Step-by-step explanation:

2x + 3y = 16

2 + 2y = 10

2 + 2y = 10

-2          - 2

2y = 8

/2  /2

y = 4

2x + 3y = 16

2x + 3(4) = 16

2x + 12 = 16

    - 12   - 12

2x = 4

/2   /2

x = 2

(x,y) -> (2,4)

Hope this helps!

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8a^2-2a^2 

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3 years ago
The total area of the figure to the right is 299 cm². Use this fact to write an equation involving x. Then solve the
Sliva [168]

Answer:

i. x^{2} + 26x + 144 - 299 = 0

ii. x = 5

Step-by-step explanation:

The area of the figure = 299 cm²

The figure has a shape of a rectangle, so that;

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length of the figure = 18 + x

width of the figure = 8 + x

Area of the figure = (18 + x) x (8 + x)

299 = (18 + x) x (8 + x)

299 = x^{2} + 26x + 144

x^{2} + 26x + 144 - 299 = 0

x^{2} + 26x - 155 = 0

applying the trigonometric formula;

x = (-b ± \sqrt{b^{2} - 4ac}) ÷ 2a

= (-26 ± \sqrt{(26)^{2} - 4(1*-155)}) ÷ 2

= (-26 ± \sqrt{676 +620}) ÷ 2

= (-26 ± \sqrt{1296}) ÷ 2

= (-26 ± 36) ÷ 2

x = (-26 + 36) ÷ 2  OR x = (-26 -36) ÷ 2

  = 10 ÷ 2 OR -62 ÷ 2

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Thus, x = 5

5 0
3 years ago
A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 637 babies bo
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Answer:

10x^3-70x+60=0

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Step-by-step explanation:

x is the number (in millions) of cameras produced

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It costs 30 to make a camera.

So we have:

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60=70x-10x^3

10x^3-70x+60=0

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Solving:

The independent term of the equation is 6.

the divisors of 6 are {1,-1, 2,-2, 3,-3, 6,-6}

Substituting each divisor in the equation we have:

x=1

(1)^3 -7(1)+6=0

1-7+6=0

0=0

⇒x=1 is a solution.

x=-1

(-1)^3 -7(-1)+6=0

-1+7+6=0

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⇒x=1 is not a solution.

x=2

(2)^3 -7(2)+6=0

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⇒x=6 is not a solution.

x=-6

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4 0
2 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

1) if Peter's sum is p and Jacky's is j, then the ratio 5:2 in the condition can be written j/p=5/2;

2) the phrase 'after Jacky gave 15 dolls to Peter, they have an equal number of dolls' can be written as j-15=p;

3) using the two above it is possible to make up the system of two equations:

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4) finally, the have together 10+25=35 doll-s.

8 0
1 year ago
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