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goblinko [34]
3 years ago
10

Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function?

Mathematics
2 answers:
iren2701 [21]3 years ago
4 0
Left x intercept (-5,0)
Right x intercept ( 3,0)
never [62]3 years ago
3 0
F(x) = x^2 + 2x - 15

You can either factor it or use the quadratic formula.

Factored:
y = x^2 + 2x - 15
(x + 5)(x - 3)
x = -5, 3

Quadratic Formula:
-b +/- √(b^2 - 4ac) / 2a
-2 +/- √(2^2 - 4(-15) / 2
-2 +/- √(4 + 60) / 2
-2 +/- √64 / 2
-2 +/- 8 / 2

-2 + 8 / 2
6/2
3

-2 - 8 / 2
-10/2
-5

x = -5, 3


Using both of these methods, you would get the x-intercepts 3 and -5.

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What is the length of the base of a triangle with height 18 m and area 99 square m?
Ivan
Use the equation for the area of a triangle:
A =  \frac{1}{2} hb
where A = area, h = height of the triangle, and b = base of the triangle.

You know that h=18m and A=99m^{2}. Plug those values into the equation and solve for b, the base.
A = \frac{1}{2} hb \\ 
99 = \frac{1}{2} (18)b \\ 
99=9b\\
b=11

The base is 11m long. 
8 0
3 years ago
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Julie Myrick has a credit card that has an APR of 15%, applied at a daily
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Answer.    332.78

Step-by-step explanation:

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4 0
3 years ago
D. 10.83<br> Math question Please Help don't Guess
shepuryov [24]

Remark

You need to do some trig to get the final answer. There is no way around it. You can however, solve the first part with the Pythagorean Theorem.

Step One

Find AB

AB^2 = DB^2 + AD^2

AB^2 = 7.5^2 + 4.9^2

AB^2 = 56.25 + 24.01

AB^2 = 80.26

AB = sqrt(80.26)

AB = 8.9588

Step Two

Move to the triangle on your right. Find x

Tan(C)= opposite / adjacent

Tan(55.8) = AB/adjacent

Tan(55.8) = 8.9588/ x Multiply both sides by x

x * tan(55.8) = 8.9588 Divide by tan(55.8)

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Answer: A

5 0
3 years ago
PLEASE HELP I have so much work due bc my wifi went out .
sashaice [31]
1. 7
2. 10
3. 31
4. 5
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6. 15
7. 11
8. 29
9. -3
10. 8
11. -5
12. 13
13. 31
14. 0
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17. 20
18. -1
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6 0
3 years ago
Can someone help me with this
jarptica [38.1K]

The answer is:

x=-8

Because:

If you pick a number(-8) to fill in the equation written below

5x+20+5x=5x-20

After applying the -8 to x you get

-40+20-40=-40-20

When you simply the both sides you get

-60=-60

And that’s right -60 is equal to -60!

5 0
4 years ago
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