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Damm [24]
3 years ago
10

Write the quadratic equation whose roots are 3 and -1, and whose leading coefficient is 5.

Mathematics
1 answer:
Assoli18 [71]3 years ago
6 0

Answer:

5x² - 10x - 15 = 0

Step-by-step explanation:

Given that the roots are x = 3 and x = - 1, then the factors are

(x - 3) and (x + 1) and the quadratic is the product of the factors, that is

f(x) = a(x - 3)(x + 1) ← a is a multiplier

Here a = 5, thus

f(x) = 5(x - 3)(x + 1) ← expand factors using FOIL

     = 5(x² - 2x - 3) ← distribute parenthesis by 5

     = 5x² - 10x - 15

Thus equation is

5x² - 10x - 15 = 0

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Simplify eighth root of y squared
NARA [144]

Answer:

<u>The simplified expression is y raised to the 2/8 power</u>

Step-by-step explanation:

Let's recall that one of the properties of fractional exponents is:

x ^ a/b = ᵇ√x ᵃ

​​ therefore,

⁸√y² = y ^2/8

<u>The simplified expression is y raised to the 2/8 power</u>

​

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5 0
3 years ago
Let f(x) = 3x^2 – 8x + 5 and let g(x) = 2x – 8. Find
fenix001 [56]

Answer:

B. 3x² – 10x + 13

Step-by-step explanation:

given:

f(x) = 3x² – 8x + 5

g(x) = 2x – 8

f(x) - g(x)

= (3x² – 8x + 5) - (2x – 8)

= 3x² – 8x + 5 - 2x + 8

= 3x² – 10x + 13

3 0
3 years ago
If 97 of 200 is 100% then how much of 200 is 112%
pickupchik [31]
To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 112 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 112 is 100%, so we can write it down as 112=100%.
4. We know, that x is 200% of the output value, so we can write it down as x=200%.
5. Now we have two simple equations:
1) 112=100%
2) x=200%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
112/x=100%/200%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 200% of 112

112/x=100/200
(112/x)*x=(100/200)*x - we multiply both sides of the equation by x
112=0.5*x - we divide both sides of the equation by (0.5) to get x
112/0.5=x
224=x
x=224

now we have:
200% of 112=224



●I tried my best I was never good with percentages my least favorite.... Please let me know if you got it wrong. If you do I'm sorry.
3 0
3 years ago
The lifetime probability of backache is 1/10. The lifetime probability of Parkinson's is 1/12. One not related to the other. Wha
GalinKa [24]

1/10 x 1/12 = 1/120 your final answer is this!

8 0
3 years ago
HELP WITH ONE MORE!!!!!!!!
Alexxx [7]

Answer:

f(x + 3) = (4x + 13)/(x - 3)

Step-by-step explanation:

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then in f(x + 3)...js replace x with (x + 3)...

f(x + 3) = (4(x + 3) + 1)/(x + 3 - 6)

;f(x + 3) = (4x + 13)/(x - 3)

3 0
3 years ago
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