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kolbaska11 [484]
3 years ago
12

At what value of x do the graphs of the equation below intersect ? 2x-y=6 5x+10y=-10

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0

Answer:

x = 2

Step-by-step explanation:

Solve the two equations simultaneously....whereby you substitute y = 2x - 6 from the above equation into the second equation...

where...; 5x + 10(2x - 6) = -10

5x + 20x - 60 = -10...then move the variables with x to one side...

5x + 20x = -10 + 60

25x = 50

;Therefore...the value of x at intersection point = 2

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Which expression is equivalent to x³ - x² - 14x + 24?
serg [7]

Answer:

<h3>A. ( x - 2 )( x - 3 )(x + 4 )</h3>

<h3>Step-by-step explanation:</h3>

<h3>x³ - x² - 14x + 24</h3>

<h3>1. Use the rational root theorem</h3>

= (x  - 2) \frac{x ^{3}  -x^{2}  - 14x + 24}{x - 2}

<h3>2. \frac{  {x}^{3} - {x}^{2}  - 14x + 24 }{x - 2}  =  {x}^{2}  + x - 12</h3><h3 />

= ( x - 2 )( x² + x - 12 )

<h3>3. Factor x² + x - 12 : ( x -3 )( x + 4)</h3>

= ( x - 2 )( x - 3 )(x + 4 )

<h3>Solution : </h3>

<h3>= ( x - 2 )( x - 3 )(x + 4 )</h3>
3 0
2 years ago
Kevin hired a moving company. The company charged $400 for its services, and Kevin gives the movers a 15% tip. How much does Kev
harina [27]
15% = 0.15

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$60
7 0
2 years ago
2. George estimates that each bale of hay in his field weighs 62.5 pounds on
saw5 [17]

Answer:

4 trips

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there are 892 bales of hay

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George's truck can only carry 8 tons

1 ton = 2,000 pounds

2,000 * 8 = 16,000 pounds

So,

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7 0
3 years ago
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Answer:

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Here,  a = 5,  b = 40,  c = 64

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x = -40/(2*5) = -40/10 = -4

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3 0
3 years ago
Read 2 more answers
Anyone know this geometry question?
andre [41]
Option D should be your answer.

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