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Zinaida [17]
4 years ago
11

Find the solution of this system of equations 10x-7y=-1 and -2x-7y=-25

Mathematics
1 answer:
Sergio039 [100]4 years ago
8 0

Answer:

<h2>x = 2, y = 3 → (2, 3)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}10x-7y=-1\\-2x-7y=-25&\text{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}10x-7y=-1\\2x+7y=25\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad12x=24\qquad\text{divide both sides by 12}\\.\qquad x=2\\\\\text{Put it to the second equation}\\2(2)+7y=25\\4+7y=25\qquad\text{subtract 4 from both sides}\\7y=21\qquad\text{divide both sides by 7}\\y=3

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According to the bar graph above, which salary range is the least frequent?
Elis [28]

9514 1404 393

Answer:

  D.  $101,000 – $120,000

Step-by-step explanation:

The bar graph is not completely labeled, but in the context of the question it seems safe to assume that the vertical scale can be considered to represent relative frequency.

So, the shortest bar is the one with the lowest frequency. The horizontal scale identifies that as 101-120. If we assume that is salary in thousands of dollars, then Choice D is appropriate.

5 0
3 years ago
A pack of gum costs 75 cents. That is 3 cents less than three times what the pack cost 20 years ago. Which equation could be use
Tamiku [17]
75-3×3x=?
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7 0
3 years ago
Read 2 more answers
Which system of inequalities is represented by the graph?
melisa1 [442]

Answer:

Option 3 is the correct answer.

Step-by-step explanation:

In this graph the red area is above the line y = -1 which represents y ≥ (-1)

Another graph is of a line y = mx + c which passes through (2, -1) and (0, 0)

where m = (y-y')/(x-x') = (1+0)/(0-2) = -1/2

and y intercept c = 0

Therefore line is y = -1/2x

and the blue area will be y ≤ -1/2x below the line.

Hence Option 3 is the answer.

3 0
3 years ago
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Use the discriminant to determine the number and type of solutions for the following equation. 12x2 + 10x + 5 = 0
Paul [167]
Discriminant D is given by:
D=b²-4ac
Implication of discriminant is as follows:

D<0 two zeros that are complex conjugate
D=0 one real zero of multiplicity 2
D>0 two distinct real zers
D= (+ve perfet square)  two distinct rational zeros
From:
12x^2+10x+5=0
plugging in the equation we get:
10²-4×12×5
=100-240
=-140
thus
D<0

Answer is: 
<span>A two irrational solutions </span>
4 0
4 years ago
Read 2 more answers
HELP PLEASEEEE!!
Viefleur [7K]

Answer:

40

Step-by-step explanation:

<h3>6×40⇒240</h3>
6 0
3 years ago
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