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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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Y = x^2 - 4x + 4<br> Find the discriminant.<br> Determine the number<br> of real solutions.
weqwewe [10]

Answer:

The discriminant is 0

There is 1 real solution

Step-by-step explanation:

Use the discriminant formula, D = b² - 4ac

In the equation y = x² - 4x + 4, a is 1, b is -4, and c is 4.

Plug in these values into the formula:

D = b² - 4ac

D = (-4)² - 4(1)(4)

D = 16 - 4(4)

D = 16 - 16

D = 0

So, the discriminant is 0.

With a discriminant of zero, there is one real solution.

So, the number of real solutions is 1.

8 0
3 years ago
if a horse is filling a swimming pool at a rate of 20 liters per minute how long will it take to fill the 3600-gallon pool
a_sh-v [17]

Answer:

11.35 hrs

Step-by-step explanation:

13627.482 liters in 3600 gallons÷ by 20 to get how many minutes it would takeand then divide by 60 to reduce your answer into hours.

4 0
3 years ago
Enrique has $127 in his bank account. Each month he adds $25 to the account.
stiv31 [10]

Answer:

d = 127 + 25m

Step-by-step explanation:

We start with 127 dollars

We add 25 each month

127 + 25m

This is the amount of money in the account

d = 127 + 25m

3 0
3 years ago
How much larger is the 8 in 8,237 than the 8 in 823.7?
alukav5142 [94]

Answer:Since the 8 in the first number is in the thousands place, its value it 8*1000=8000

8000 is ten times 800.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What are the solutions of 12-x^2 =0
tatiyna

Answer:

x=\pm 2\sqrt{3}

Step-by-step explanation:

observe

12-x^2=0\\x^2=12\\x=\pm \sqrt{12}

4 0
4 years ago
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