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2 years ago

Which choice is the solution to the system? x + 2y = 1 y = − 1 2 x + 4

Mathematics

1 answer:

vazorg [7]2 years ago

7 0

Answer:

no solutions

Step-by-step explanation:

x + 2y = 1

y = − 1/ 2 x + 4

Substitute the second equation into the first

x + 2(-1/2x+4) = 1

Distribute

x -x +8 = 1

Combine like terms

8=1

This is never true so there are no solutions

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The product of two consecutive positive integers is greater than their sum by 209. Find these numbers.

Delicious77 [7]

Answer:

I think it is -4 and -3

Step-by-step explanation:

8 0

2 years ago

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The cost, in dollars, of producing x belts is given by Upper C (x )equals 970 plus 12 x minus 0.076 x squared. The revenue, i

umka21 [38]

Answer:

$68.44 for each additional belt

Step-by-step explanation:

The cost and revenue functions are:

$C(x) = 970+12x - 0.076x^2\\R(x) =43x^{\frac{3}{4}}$

The profit function, P(x), is given by subtracting the cost function from the revenue function.

$P(x) = R(x) - C(x)\\P(x)=43x^{\frac{3}{4}}+0.076x^2-12x-970\\$

The derivate of the profit function gives us the rate at which profit changes:

$\frac{dP(x)}{dx} =P'(x)=32.25x^{\frac{-1}{4}}+0.152x-12\\$

For x = 484, the rate of change is:

$P'(484)=32.25*484^{\frac{-1}{4}}+0.152*484-12\\P'(484) = \$68.44/belt$

Profit is increasing by $68.44 for each additional belt

3 0

2 years ago

Delphine has to place 64 bottles of water on a banquet table. it must have a way to fill a rectangular. what are the possible ar

tangare [24]

Answer:

Since $64= 2^6$ , you have the following arrangements.

Optional: $64 \times 1$ (and it's mirror version $1 \times 64$ , if you want to consider a long strip of bottles a rectangle. Technically it is, but it's open to interpretation.

$32 \times 2$ and it's mirror $2 \times 32$ ;

$16 \times 4$ and it's mirror $4 \times 16$ ;

Optional: $8 \times 8$ . Since a square is a rectangle with extra limitations.

6 0

2 years ago

Which of the following is(are) the solution(s) to %+3)=12?

MAVERICK [17]

Answer:

if by % this sign you mean x then

x=9

Step-by-step explanation:

x+3=12

x=12-3

x=9

6 0

3 years ago

tim has $45. he buys pens that cost 2.75 each until he has only 12.00 left. if x represents the number of pens purchased.. write

aliya0001 [1]

Solve this equation: $45 - ($2.75/pen)x = $12. Simplifying, we get

$33 = ($2.75)x, so that

x = $33 / ($2.75) = 12.

Tim's buying 12 pens leaves him with $12.

6 0

2 years ago

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