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saw5 [17]
3 years ago
15

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

Mathematics
1 answer:
Gnom [1K]3 years ago
6 0

Answer:

Left-most x-intercept: (-5,0)

Right-most x-intercept: (3,0)

Step-by-step explanation:

X-intercepts are also known as roots, when y = 0.

In this function, y = 0 when x = -5 and x = 3.

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Match the reasons with the statements given. Given: triangle ABR RA = RB RS | | AB Prove: <1 = <2
raketka [301]
Given the following statements<span>
1. line RS || segment AB, ∠1=∠2
2. ∠B = ∠1
3. ∠A = ∠2
4. ∠A = ∠B
5. RA = RB

and the following reasons,
a) If lines ||, corresponding ∠'s are =
b) If two ∠'s of a triangle are =, sides opposite are =
b) If lines ||, alternate interior ∠'s =
c) Given
d) Substitution
</span>
<span>we match the statements and the reasons to enable us prove the required proof.
         Statement                                                     Reason
</span>
<span>1. line RS || segment AB, ∠1=∠2       Given
2. ∠B = ∠1                                         </span><span>If lines ||, corresponding ∠'s are =
3. ∠A = ∠2                                         </span><span>If lines ||, alternate interior ∠'s =
4. ∠A = ∠B                                        </span><span>Substitution  [because we are given that </span>
<span><span>∠1=∠2]

</span>5. RA = RB                                        </span>If two ∠'s of a triangle are =, sides opposite are =
8 0
3 years ago
2/3 of the sum of three times a number and six is 10. what is the number?
mestny [16]

9514 1404 393

Answer:

  3

Step-by-step explanation:

Let x represent the number. The problem statement tells you ...

2/3(3x +6) = 10

  2x +4 = 10 . . . . . . use the distributive property

  x +2 = 5 . . . . . . . . divide by 2

  x = 3 . . . . . . . . . . .subtract 3

The number is 3.

__

<em>Comment on the solution</em>

The above shows an "alternative" solution method. The more usual way this might be done is ...

  2(3x +6) = 30 . . . . . multiply by 3 to clear fractions

  6x +12 = 30 . . . . . . . eliminate parentheses

  6x = 18 . . . . . . . . . . . subtract 12

  x = 3 . . . . . . . . . . . . divide by 6

3 0
3 years ago
Read 2 more answers
HELP!!! i need it asap, thank you
Step2247 [10]
Answer: H

Step by Step
7 0
3 years ago
Determine the measure of angle BZC.
dusya [7]

Answer:

70 degrees

Step-by-step explanation:

Angle BZA = Angle BZC = 20 degrees

Reason : These two angles are Vertically opposite angles.

Angle BZA + Angle BZC = 90

20 + Angle BZC = 90

Angle BZC = 90 - 20

Angle BZC = 70 degrees

8 0
3 years ago
Help im super confused on this question
Verizon [17]

Answer:

⦿ (7, 2)

Step-by-step explanation:

Try each solution in both inequalities and see which solution makes both inequalities true.

4x + 2y > 8

x - y ≥ 2

A. (2, 4)

4(2) + 2(4) > 8

16 > 8 True

2 - 4 ≥ 2

-2 ≥ 2 False

B. (4, 0)

4(-4) + 2(0) > 8

-16 > 8 False

C. (7, 2)

4(7) + 2(2) > 8

32 > 8 True

7 - 2 ≥ 2

5 ≥ 2 True

D. (1, -3)

4(1) + 2(-3) > 8

-2 > 8 False

Answer: C.

8 0
2 years ago
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