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Salsk061 [2.6K]
3 years ago
14

Find the solution set for the system of equations. 9x + 5y = 28 5x + 9y = 56

Mathematics
1 answer:
Jobisdone [24]3 years ago
6 0
First step find a common multiple, e.g. 45 and subtract
9x + 5y = 28   * 5
5x + 9y = 56   * 9

45x + 25y = 140
-(45x + 81y = 504)
-56y = -364
56y = 364
y = 6.5

Substitute into any equation
9x + 5(6.5) = 28
9x + 32.5 = 28
9x = -4.5
x = -0.5

x = -0.5   , y = 6.5

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There are 20 students on the school's student council. A special homecoming dance committee is to be formed by randomly selectin
AysviL [449]

You can choose from 20 students for the first student, 19 for the second, 18 for the third, ..., 14 for the seventh student.

That gives you 20 * 19 * 18 * 17 * 16 * 15 * 14.

That number would allow you to write the students in different order. Since order here does not matter, any group with the same students in any order is the same group, you need to divide by the number of way you can order 7 items. Divide by 7 * 6 * 5 * 4 * 3 * 2 * 1

(20 * 19 * 18 * 17 * 16 * 15 * 14)/(7 * 6 * 5 * 4 * 3 * 2 * 1) = 77,520

Answer: 77,520

8 0
3 years ago
Read 2 more answers
Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)
IceJOKER [234]

Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

\displaystyle y = -x^2 + 2x + 1

Recall that the vertex is given by the formulas:

\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)

In this case, <em>a</em> = -1, <em>b</em> = 2, and <em>c</em> = 1.

Determine the <em>x-</em>coordinate of the vertex:

\displaystyle x = -\frac{(2)}{2(-1)} = 1

To determine the <em>y-</em>coordinate, evaluate the function at <em>x</em> = 1:

\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

3 0
2 years ago
Find the length of the hypothenuse of the right triangle with legs that measure 5 and 7. Brianlest for anyone who can give step
zepelin [54]
To calculate hypothenuse you use the formula a^2+b^2=c^2 where c is the length of the hypothenuse.

1. 5^2+7^2=c^2
2.25+49=74
3. Now you will square root the 74
4. The hypothenuse is equal to 8.6
4 0
3 years ago
Solve -52=4m for m. m=n
Butoxors [25]

You just do -52 divided by 4 and get -13 as your answer.

m = -14

7 0
3 years ago
Read 2 more answers
How do I put these equations into vertex form?
kenny6666 [7]
I found my notes for this exact paper and I have that first problem written. hopefully this helps

4 0
2 years ago
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