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olchik [2.2K]
3 years ago
7

Which first step for solving the given system using substitution results in an equation without fractions?

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0
The correct answer is solve for y in the second equation.

Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient. ...
Step 2: Subtract the second equation from the first.
Step 3: Solve this new equation for y.
Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.
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Burnem Inc. manufactures thumb drives and sells them to a distributor. Burnem's total cost and total revenue (in dollars) for x
AlladinOne [14]

Answer:

444 thumb drives

Step-by-step explanation:

Break even is the point at which the proceeds are equal to the costs i.e. when Total cost = Total revenue. So using the equations provided, the breakeven point for Burnem Inc. will be 4x + 4884 = 15x, where x is number of thumb drives. We solve for x to get the answer:

4x + 4884 = 15x

4884 = 15x - 4x

4884 = 11x

x = 4884/11

x = 444 thumb drives

3 0
3 years ago
A particular sound wave can be graphed using the function y = 1 sin 2x y = 1 sin 2 x . Find the amplitude of the function.
alexira [117]

<u>Answer</u>

1

<u>Explanation</u>

The general equation of a wave is ;

y = a sin(kX+Ф)

Where a represent the amplitude, 360/k represent the period of the wave and Ф represent the phase angle.

∴ In the equation y = 1 sin 2x,

Amplitude = 1

4 0
4 years ago
Help im super confused on this question
Verizon [17]

Answer:

⦿ (7, 2)

Step-by-step explanation:

Try each solution in both inequalities and see which solution makes both inequalities true.

4x + 2y > 8

x - y ≥ 2

A. (2, 4)

4(2) + 2(4) > 8

16 > 8 True

2 - 4 ≥ 2

-2 ≥ 2 False

B. (4, 0)

4(-4) + 2(0) > 8

-16 > 8 False

C. (7, 2)

4(7) + 2(2) > 8

32 > 8 True

7 - 2 ≥ 2

5 ≥ 2 True

D. (1, -3)

4(1) + 2(-3) > 8

-2 > 8 False

Answer: C.

8 0
2 years ago
The concentration of a drug in the bloodstream C(t) at any time t, in hours, is described by the equationC(t)=100t/t^2+25where t
alisha [4.7K]

Answer:

It will take 5 hours until it reaches its maximum concentration.

Step-by-step explanation:

The maximum concentration will happen in t hours. t is found when

C'(t) = 0

In this problem

C(t) = \frac{100t}{t^{2} + 25}

Applying the quotient derivative formula

C'(t) = \frac{(100t)'(t^{2} + 25) - (t^{2} + 25)'(100t)}{(t^{2} + 25)^{2}}

C'(t) = \frac{100t^{2} + 2500 - 200t^{2}}{(t^{2} + 25)^{2}}

C'(t) = \frac{-100t^{2} + 2500}{(t^{2} + 25)^{2}}

A fraction is equal to zero when the numerator is 0. So

-100t^{2} + 2500 = 0

100t^{2} = 2500

t^{2} = 25

t = \pm \sqrt{25}

t = \pm 5

We use only positive value.

It will take 5 hours until it reaches its maximum concentration.

4 0
3 years ago
Staples sells boxes of pens ($10) and rubber bands ($4). Leona ordered a total of 24 cartons for $210. How many boxes of each di
Ronch [10]

Answer:

19

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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