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castortr0y [4]
3 years ago
15

Find the smallest zero for the function h(x)=4x^2-8x-60.

Mathematics
1 answer:
ankoles [38]3 years ago
8 0
H(x) = 4x² - 8x - 60
    0 = 4x² - 8x - 60
    0 = 4(x²) - 4(2x) - 4(15)
    0 = 4(x² - 2x - 15)
    4               4
    0 = x² - 2x - 15
    0 = x² - 5x + 3x - 15
    0 = x(x) - x(5) + 3(x) - 3(5)
    0 = x(x - 5) + 3(x - 5)
    0 = (x + 3)(x - 5)
    0 = x + 3    or    0 = x - 5
  - 3        - 3        + 5      + 5
    3 = x       or       5 = x
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I need help community
Tamiku [17]

Answer:

Option C, F(x) = (x+2)/(x+1)

Answered by GAUTHMATH

3 0
3 years ago
Morgan is playing a board game that requires three standard dice to be thrown at one time. Each die has six sides, with one of t
kati45 [8]

Question:

Morgan is playing a board game that requires three standard dice to be thrown at one time. Each die has six sides, with one of the numbers 1 through 6 on each side. She has one throw of the dice left, and she needs a 17 to win the game. What is the probability that Morgan wins the game (order matters)?

Answer:

1/72

Step-by-step explanation:

<em>Morgan can roll a 17 in 3 different ways. The first way is if the first die comes up 5, the second die comes up 6, and the third die comes up 6. The second way is if the first die comes up 6, the second die comes up 5, and the third die comes up 6. The third way is if the first die comes up 6, the second die comes up 6, and the third die comes up 5. For each way, the probability of it occurring is  1/6 x 1/6 x 1/6 = 1/216. Therefore, since there are 3 different ways to roll a 17, the probability that Morgan rolls a 17 and wins the game is  1/216 + 1/216 + 1/216 = 3/216 = 1/72</em>


<em>I had this same question on my test!</em>


<em>Hope this helped! Good Luck! ~LILZ</em>


3 0
3 years ago
The cost of a ticket to the circus is $19.00 for
DENIUS [597]

<u>Answer:</u>

The number of tickets bought is 1000 adults tickets and 700 children were present  

<u>Explanation:</u>

Let the number of children and adults present in the circus be x and y respectively

According to question,

Then, x + y = 1700  ……………..equation (1)

And, cost of ticket to circus for children and adult be 19, 42 respectively

Total cost of ticket;

for adults = 42y; for children = 19x

19x + 42y = 55300  …………………equation (2)

Multiplying equation (1) by 19

19x + 19y = 32300  ……………… eqn (3)

Subtracting equation 1 and 3, we get

23y = 23000

y = 1000

putting this value in eq (1), we get x = 700

Therefore, 1000 adults and 700 children were present .

5 0
3 years ago
The area of the surface of the swimming pool is 210 square feet. What is the length d of the deep end in feet
Natali [406]
72 is the length d of how deep end in feet}
6 0
3 years ago
Write the sum or difference in the standard form a + bi. ( 7 + 5i) - ( -9 + i)
Veseljchak [2.6K]
(7 + 5i) - ( -9 + i)
= 7 + 5i - (-9) - (i)
= 7 + 5i + 9 - i
= 16 + 4i

= 4i + 16
3 0
3 years ago
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