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marshall27 [118]
3 years ago
7

What is the solution to the System of Equations graph below?

Mathematics
1 answer:
Alex Ar [27]3 years ago
4 0

Answer:

D?

Step-by-step explanation:

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A soccer ball was kicked in the air and follows the path h(x)=−2x2+1x+6, where x is the time in seconds and h is the height of t
madam [21]

The ball will hit the ground at 2 seconds.

Step-by-step explanation:

Given that,

The path of the ball = h(x)=−2x2+1x+6

Here,

x is the time while h is the height of ball.

When the ball will hit the ground, the height will become zero. Therefore,

h(x)=−2x2+1x+6

0 =−2x2+1x+6

or

2x2 -1x - 6 = 0

This is a quadratic equation, hence by applying quadratic equation formula:

x = \frac{-b +- \sqrt{b^{2} - 4ac }   }{2a}

here,

a = 2

b = -1

c = -6

Putting these values in formula, we get

x = \frac{-(-1) +- \sqrt{-1^{2} - 4.2.-6 }   }{2.2}

x = \frac{1 +- \sqrt{1 + 48 }   }{4}

x = \frac{1 +- \sqrt{49 }   }{4}

x = \frac{1 +- 7   }{4}

x = 2, -3/2

As the time cannot be negative. Therefore, the ball will hit the ground at 2 seconds.

6 0
3 years ago
Read 2 more answers
PLEASEEEEE HELPPPPPP ASAPPPPPPPP
natta225 [31]

9514 1404 393

Answer:

  64r -48r -144

Step-by-step explanation:

The January cost expression is ...

  62p -48p -144 -432 = profit

The cost is identified as having 3 components, so the profit will have 4 components:

  (selling price)×p - ((cost per unit)×p +(fixed monthly cost)) -(first month startup cost) = profit

Comparing this to the given equation, we identify the components as ...

  selling price = 62

  cost per unit = 48

  fixed monthly cost = 144

  first month startup cost = 432

We note that 432 = 3×144, so is consistent with the description of startup costs.

Increasing the selling price by $2 will raise it from 62 to 64. In February, the initial month startup cost disappears, so the profit equation becomes ...

  (selling price)×r - ((cost per unit)×r +(fixed monthly cost)) = profit

  64r -48r -144 = profit

5 0
3 years ago
5(x+4)+16<br><br> Match each of the following with Equivalent Expression listed on the right
son4ous [18]
5(x+4)+16
5x+20+16
And then the solution is 5x+36
6 0
3 years ago
A set has 62 proper subsets how many elements has it for?<br>​
MrRissso [65]

Answer:

6

Step-by-step explanation:

Total number of subsets is given as

{2}^{n}

But the subset of a set consists of the proper subsets, an empty set and the set itself.

Total number of subsets are 64

Therefore,

{2}^{n}  = 64

{2}^{n}  =  {2}^{6}

Comparing both sides

n = 6

5 0
3 years ago
What is the answer to 2x+3=-8 if<br> x=-8.
never [62]

Answer:

this makes no sence you said 2x+3=-8 if x =-8 then the answer would be

2x-8+3=-8 ??? that is not correct

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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