MATHEMATICS HIGH SCHOOL

A video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games.x = number of used games

y = number of new games

Which linear equation, written in standard form, expresses the scenario?

Answers

Answer 1
Answer:

Answer:12x+25y=300

Step-by-step explanation:
Answer 2
Answer:

Answer:

12x + 25y = 300

Step-by-step explanation:

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A student is trying to solve the set of two equations given below:Equation A: x + z = 6
Equation B: 2x + 4z = 1

Which of the following is a possible step used in eliminating the z-term?

Multiply equation B by 4.
Multiply equation A by 2.
Multiply equation A by −4.
Multiply equation B by 2.

Answers

If you would like to eliminate the z-term, you can do this using the following steps:

x + z = 6       /*(-4)
2x + 4z = 1
_____________
-4x -4z = -24
2x + 4z = 1
_____________
-4x + 2x = -24 + 1
-2x = -23

x = 23/2

The correct result would be x + z = 6       /*(-4); multiply equation A by -4.

A possible step which can be used in eliminating the z-term is: C. multiply equation A by -4.

Given the following data:

  • x + z = 6    ........equation A.
  • 2x + 4z = 1   ......equation B.

What is a set of equations?

A set of equations is also referred to as a system of equations and it can be defined an algebraic equation that has only two (2) variables, which can be solved simultaneously.

In order to eliminate the z-term, we would subtract the second equation from 4 times the first equation:

Multiplying the first equation by 4, we have:

4[x + z = 6] = 4x + 4z = 24

Subtracting the two equations, we have:

[4x + 4z - 24 - 2x - 4z - (-1)] = 0

2x - 23 = 0

2x = 23

x = 23/2

x = 11.5.

In conclusion, a possible step which can be used in eliminating the z-term is to multiply equation A by -4.

Read more on elimination method here: brainly.com/question/11201494

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The icnceased demand for vegetarian meal has caused an increase in the price to toofu. if the cost of tofu is currently $2.99per pound , and is increaseinf by 6% per year, what will it cost in 5 year?

Answers

2.99x(100%+6%)^5 =4.0013

Help me out! I always mark brainliest. Unless of course, it is incorrect or inadequate. Please include how you did the problem. Thanks!

Answers

If 2 + 5i is a zero, then by the complex conjugate root theorem, we must have its conjugate as a zero to have a polynomial containing real coefficients. Therefore, the zeros are -3, 2 + 5i, and 2 - 5i. We have three zeros so this is a degree 3 polynomial (n = 3).
f(x) has the equation
                        f(x) = (x+3)(x - (2 + 5i))(x - (2 - 5i))
If we expand this polynomial out, we get the simplest standard form
                        f(x) = x^3-x^2+17x+87
Therefore the answer to this question is f(x) = x^3-x^2+17x+87

Proportion: test worth 50 points test score 84%

Answers

\begin{array}{ccc}100\%&-&50\ pts\n\n84\%&-&x\ pts\end{array}\ \ \ |cross\ multiply\n\n100x=50\cdot84\ \ \ \ |divide\ both\ sides\ by\ 100\n\nx=(50\cdot84)/(100)\n\nx=(1\cdot84)/(2)\n\n\boxed{x=42\ (pts)}
50x0.84=42, so 42 points

What is 940 divided by
58 equals what's

Answers

154.13793103 it gave it in decimal form


The answer is16.20689655172414

The vertex of this parabola is at (4, -3). When the x-value is 5, the y-value is -6. What is the coefficient of the squared expression in the parabola s equation?

Answers

The\ vertex\ form:y=a(x-k)^2+h\n\nwhere\ (k;\ h)\ \ are\ coordinates\ of\ vertex\n------------------------\ny=a(x-4)^2-3\n\nthe\ point\ on\ parabola\ (5;-6)\nPut\ x=5\ and\ y=-6\ to\ equation:\n\na(5-4)^2-3=-6\na(1)^2=-6+3\na=-3\n\nAnswer:y=-3(x-4)^2-3=-3(x^2-8x+16)-3\n\n=-3x^2+24x-48-3=-3x^2+24x-51
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