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Sindrei [870]
2 years ago
14

Solve for x -5(x-4)=-30

Mathematics
1 answer:
Naily [24]2 years ago
7 0

Answer:

-5x + 20 = -30

-5x = 10

x = -2

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A rocket is launched from the top of a 99-foot cliff with an initial velocity of 122 ft/s.
Harman [31]
Remember that c is the initial height. Since we the rocket is in a 99-foot cliff, c=99. Also, we know that the velocity of the rocket is 122 ft/s; therefore v=122
Lets replace the values into the the vertical motion formula to get:
0=-16 t^{2} +122t+99
Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:
-99=-16 t^{2} +122t+99
-16 t^{2} +122+198=0

Now we can apply the quadratic formula t= \frac{-b+or- \sqrt{ b^{2} -4ac} }{2a} where a=-16, b=122, and c=198
t= \frac{-122+or- \sqrt{ 122^{2}-(4)(-16)(198) } }{(2)(-16)}
t= \frac{-122+ \sqrt{27556} }{-32} or t= \frac{-122- \sqrt{27556} }{-32}
t= \frac{-122+166}{-32} or t= \frac{-122-166}{-32}
t= \frac{-11}{8} or t=9

Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.
5 0
3 years ago
Read 2 more answers
Three runners are training for a marathon. One day, they all run about ten miles, each at their own constant speed. Which of the
kotykmax [81]

Answer:

Runner 1 has the fastest pace

Step-by-step explanation:

The first one we need to find the slope

m = (y2-y1)/(x2-x1) = (40-0)/(4-0) =40/4 = 10 minutes per mile

The second  is 8.5 minutes per mile

The third we need to find the slope

m = (y2-y1)/(x2-x1) = (90-72)/(10-8) =18/2 = 9 minutes per mile

6 0
3 years ago
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While on a business trip to Brookfield, Haley treated her co-workers to a meal that cost $50. Haley knew that when the bill came
frosja888 [35]

Answer:

$66

Step-by-step explanation:

The meal cost $50 without taxes.

The cost of tax:

$50*%14= $7

so she will pay a $7 tax

Also, she wants to tip %18 of the original $50 so:

$50*%18= $9

so she will tip $9

$50 + $7 + $9 = $66

8 0
3 years ago
The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Whic
Pie
I just answered this, its y = 63x
5 0
3 years ago
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Find a function whose graph is a parabola with vertex (7, 8) and that passes through the point. (6, −9).
lukranit [14]
Work backwards from vertex form. Vertex form of a quadratic equation/parabola is the following: 

f(x) = a(x - h)² + k, where (h, k) is the vertex. 

f(x) = a(x - 6)² - 9 

Now, plug in the point that you're given to SOLVE FOR A. Remember that f(x) is just another way of writing y. 

8 = a(1)² - 9 
8 = a - 9 
a = 17 

So, plug in a = 17 into the equation. 

<span>f(x) = 17(x - 6)² - 9 ←← your answer.


I hope my answer has come to your help. Thank you for posting your question here in Brainly.
</span>
7 0
3 years ago
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