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erik [133]
3 years ago
9

6. Find the function with x-intercepts (-3,0) and (5,0), which also goes through the point (1,8)

Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0

Answer:

f(x) = (-1/2)(x^2 + 8x - 15)

Step-by-step explanation:

This function has two roots:  -3 and 5.  Most likely it is a quadratic (all of which have two roots).

Then f(x) = a(x + 3)(x - 5)

The graph goes through (1. 8):  Therefore, y = 8 when x = 1:

f(1) = a(1 + 3)(1 - 5) = 8, or

        a(4)(-4) = 8, or

            -16a = 8, which leads to a = -1/2.

Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or

                                                        f(x) = (-1/2)(x^2 + 8x - 15)

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3 years ago
What are Three common multiples of 3 and 2?
Akimi4 [234]

Answer:

Common multiples of 2 and 3 include 6, 12, 18, and 24.

Step-by-step explanation:

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6 0
3 years ago
SB
miskamm [114]

Answer:

x = 0

Step-by-step explanation:

i) x - 11 + 1 < 15

x - 10 < 15

x < 10 + 15

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ii) x - 11 + 1 > 15

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Therefore to compare (i) and (ii)

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4 0
3 years ago
Choose the missing step in the given solution to the inequality −x − 10 &gt; 14 + 2x. −x − 10 &gt; 14 + 2x −3x − 10 &gt; 14 ____
Svet_ta [14]

Answer: -3x> 24

Step-by-step explanation:

Given the inequality -x - 10 > 14 + 2x, we need to solve for "x".

We can subtract -2x to both sides:

-2x-x - 10 > 14 + 2x-2x

-3x- 10 > 14 (This step is shown in the exercise)

Now, we can add 10 to both sides:

-3x- 10 +10> 14+10

-3x> 24 (This step is not shown in the exercise)

And finally, divide both sides by -3:

\frac{-3x}{-3}>\frac{24}{-3}

x< -8 (This is shown in the exercise)

Therefore, the missing step is:

-3x> 24

3 0
3 years ago
What is the area of a square with side lengths of 3/5 units?
umka2103 [35]

Answer:

We must solve 3/5 x 3/5.

3/5 x 3/5 = 0.36

The units we'll use is  because units are the unt we're given, and it is squared because it is the area of a shape.

Your final answer is 0.36

6 0
2 years ago
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