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Aneli [31]
2 years ago
6

Can somebody help me with this?

Mathematics
1 answer:
icang [17]2 years ago
7 0

We are given polynomial: 5x^3+8x^2-7x-6.

We need to explain why the binomial (x + 2) IS a factor of this polynomial expression and  why the binomial (x + 1) IS NOT a factor of this polynomial expression.

Let us set first factor equal to 0 and solve for x.

x+2=0

x=-2.

Plugging x=-2 in given polynomial, we get

5(-2)^3+8(-2)^2-7(-2)-6 = 5(-8) +8(4)+14-6

= -40 +32+14-6

=0

<em>Because x=-2 gives 0 on plugging in given polynomial, so it's factor of given polynomial expression.</em>

Now, let us check second factor x+1=0

x=-1.

Plugging x=-1 in given polynomial, we get

5(-1)^3+8(-1)^2-7(-1)-6 = 5(-1) +8(1)+7-6

=-5+8+7-6.

= -4.

<em>Because x=-1 doesn't gives 0 on plugging in given polynomial, so it's not a factor of given polynomial expression.</em>

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Gavyn was thinking of a number. Gavyn doubles it, then adds 14 to get an answer of 17.2. What was the original number?
VARVARA [1.3K]

Answer:

Original number we'll call "x".

2x + 14 = 17.2

x = 1.6

Step-by-step explanation:

6 0
3 years ago
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Afina-wow [57]
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3 years ago
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One fifth of a number plus three times the number is equal to twice the number plus 42. What is the number
borishaifa [10]

Equation to find number's value: \frac{1}{5}n + 3n = 2n + 42

Number's value: n = 35


Explanation:

Let n be the unknown number for this problem.

One fifth of a number is the same as \frac{1}{5}n.

Three times the number is the same as 3n.

Twice the number plus 42 is the same as 2n + 42.

So, using the information we've gathered so far, we can create the equation that will provide us with n's value.

Equation: \frac{1}{5}n + 3n = 2n + 42

We can use this equation to find n's value.

You can subtract 2n from both sides to get the equation \frac{1}{5}n + n = 42, which is the same thing as the equation we were using.

Now add n and \frac{1}{5}n together to get 1\frac{1}{5}n.

After you do this, your equation should look like 1\frac{1}{5}n=42.

Now divide both sides by 1\frac{1}{5} to get n's value.

n = 35

7 0
3 years ago
Which of these is an example of exponential decay?
Nataly [62]
I would say A is the only logical answer
8 0
3 years ago
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Help would be appeeiciated
ser-zykov [4K]
Filling in the given information, you are asked to find "r" from
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And taking the square root tells you
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The appropriate choice is ...
  C.   4
6 0
3 years ago
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