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Fed [463]
3 years ago
10

Choose the expression that shows P(x)=x^3 + 5^2 + 11x + 10 as a product of two factors.

Mathematics
1 answer:
KatRina [158]3 years ago
6 0

Answer:

The correct answer is D

Step-by-step explanation:

You can find the correct answer just by looking at what the first term would end up being.

The first three, if you expanded them, would all have the starting term 2x³, which does not match the result unless the two is factored out.  Only the last one would end up with the correct x³ as its first term.

Let's expand it to see if we're right:

(x + 2)(x² + 3x + 5)

= x³ + 3x² + 5x + 2x² + 6x + 10

= x³ + 3x² + 11x + 10

And that's a match, so the correct answer is D

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hope this helps!
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5 0
3 years ago
Find the equation of the line through (6,4) and (-3,-8)
alexdok [17]

Answer:

y = 4/3x - 4

Step-by-step explanation:

to find the equation of a line with 2 points, we use the slope formula which is:

\frac{y_2-y_1}{x_2-x_1}

we will use (6,4) as x_1[tex] and [tex]y_1 and we will use (-3,-8) as x_2[tex] and [tex]y_2. we plug this into the slope formula:

\frac{-8-4}{-3-6}

-8 - 4 = -12

-3 - 6 = -9

the slope is \frac{-12}{-9}

but we can simplify this further by dividing the fraction by -3

-12 / -3 = 4

-9 / -3 = 3

the simplified version of the slope is \frac{4}{3}

we can write this in slope-intercept form which is y =mx + b, with b being the y intercept and m being the slope

y = 4/3x + b <--- we need to solve for <em>b</em> in order to find the y intercept, so substitute x & y for a point on the line, we can use any point we are given, but for this example i will use (6,4)

4 = 4/3(6) + b < multiply 4/3 x 6

4 = 8 + b < subtract 8 from both sides

-4 = b

our y intercept would be (0,-4)

the equation looks like the following:

y = 4/3x - 4, which is our answer

3 0
3 years ago
The Atlas V Rocket could go 1 full mile in just
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Answer: It traveled 36,000 miles per hour.

Step-by-step explanation: 1/10 of a second x 36000 = 1 hour.

5 0
3 years ago
Which of the expressions is rational? 25 + 2 7 − 2 64 + 45
Levart [38]

Answer:

All of the expressions

Step-by-step explanation:

A rational number is one that can be written as a ratio, or a number with a terminating decimal.

All of the expressions are whole numbers, so they are all rational.

4 0
3 years ago
When f(x) = –3, what is x?<br><br> –29<br> –10<br> –3<br> –1
mariarad [96]

Answer:

x = - 1

Step-by-step explanation:

I hope this will help you

6 0
2 years ago
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