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Oksanka [162]
3 years ago
5

Which real numbers are zeros of the function?

Mathematics
1 answer:
monitta3 years ago
6 0
<h3><u>The roots are -1/2, 0, 2, and 3.</u></h3>

Let's trying factoring this polynomial.

We can factor an x out of each term to start.

x(2x^3 - 9x^2 + 7x + 6)

We now know one of the roots is going to be zero.

Using the rational roots theorem, and the remainder theorem, we can try to find some more roots that way.

Factors of 6: 1, 2, 3, 6.

Factors of 2: 1

Possible rational roots: +/-1/2, +/-1, +/-2, +/-3/2, +/-3, +/-6

Using the remainder theorem, we can plug these values into the polynomial, and if we get a remainder of zero, we know it's a root.

-1/2(2(-1/2)^3 - 9(-1/2)^2 + 7(-1/2) + 6) = 0

Our first root is -1/2.

We can successfully factor a -1/2 out of this polynomial.

After diving the polynomial by -1/2, we're left with: 2x^2 - 10x + 12.

We can now try using the AC method to get our last two roots.

First, we can factor this polynomial to simplify it.

Divide all terms by 2.

2(x^2 - 5x + 6)

Now let's try using the AC method.

The digits -3 and -2 satisfy the criteria.

2(x - 3)(x - 2)

We now have all of our roots: 0, -1/2, 2, and 3.


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Find the rule of f(0)
kap26 [50]

Answer:

f(0)=4

Step-by-step explanation:

f(0)=4*9^0=4*1=4

5 0
3 years ago
I need this quickly please
IRINA_888 [86]

Answer:

y = 15x + 20 or 15x - y + 20 = 0

x = 11

Step-by-step explanation:

Line is passing through the points (0, 20) & (2, 50)

Slope of line = (50 - 20)/(2 - 0) = 30/2 = 15

Equation of line

y - 20 = 15(x - 0)

y - 20 = 15x

y = 15x + 20 or 15x - y + 20 = 0

Plug y = 185 in above equation, we find:

185 = 15x + 20

185 - 20 = 15x

165 = 15x

x = 165/15

x = 11

5 0
2 years ago
Equivalent fractions for 15/35
Anit [1.1K]
\frac{15}{35} /5 \\  \frac{15/5}{35/5}  \\  \frac{3}{7}

That's the simplest form of 15/35. You can use 3/7 to get other equivalent fractions by multiplying the numerator and denominator by the same number. Other examples are 9/21, 6/14, and 12/28.
Hope this helps!

5 0
3 years ago
30 POINTS !! PLEASE HELP ASAP!!
inn [45]
Answer: a) 4 b) Bachelor’s

Steps:
1000 * 4%
1000 * 0.04
40

1000 + x = 1160
x = 160

160 / 40 = 4

Went to school for 4 years

A 4 year college degree is a bachelor’s degree
3 0
3 years ago
Read 2 more answers
Select the two binomials that are factors of this trinomial.
Stella [2.4K]

we are given

trinomial as

x^2 -x -12

now, we can factor it

x^2 -x -12= x^2 -4x +3x -4*3

x^2 -x -12= x(x -4) +3(x -4)

x^2 -x -12= (x-4)(x+3)

so, option-C and D ..............Answer

4 0
3 years ago
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