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melisa1 [442]
3 years ago
9

9. Consider the function f(x) = x² + 3x – 4.

Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0

Answer:

  c.  f(x) = (x + 4)(x - 1)

Step-by-step explanation:

Since you're familiar with the product of two binomials:

  (x +a)(x +b) = x² + (a+b)x + ab

you know that the constants in the binomial factors must ...

  • have a product of -4
  • have a sum of +3

__

All of the choices except B have binomial constants that have a product of -4.

In order, the sums of the remaining choices are ...

  A: 1-4 = -3

  C: 4-1 = 3 . . . . this is the correct choice

  D: -2+2 = 0

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Surface Area of a Triangular Pyramid, please help!
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Answer:

surface area of the triangular pyramid

=(1/2×9×7.8)+(3×1/2×9×12.3)

=35.1+166.05

=201.15 inch²

5 0
3 years ago
It has been estimated that the population of Indianapolis is growing at a rate of 0.9% per year. Assuming that the population gr
sweet [91]

Hi there!

Ok, so, here are the important facts:

Yearly population growing rate : 0.9%

Population in January 2016 : 1 988 817

Population in January 2019 (3 years later) : x


First off, you need to calculate 0.9% of the population in January 2016 to figure out the number of people it represents :

Saying 0.9% of 1 988 817 is like saying 0.9% times 1 988 817!


\frac{0.9}{100} = \frac{?}{1 988 817}


To solve this, you can use the cross product method :

(1 988 817 × 0.9) ÷ 100 = ?

1 789 935.3 ÷ 100 = ?

17 899.353 = ?


So 0.9% represents a growing rate of 17 899.353 people (we'll keep the decimals just to be more precise in the end).


Now, since you want to know the expected population in January 2019, 3 years later, you need to multiply 17 899.353 by 3 and then add the result to the population number in 2016 :


(17 899.353 × 3) + 1 988 817 = x

53 698.059 + 1 988 817 = x

2 042 515.059 = x

2 042 515 ≅ x (Since we are talking about a population, which represents a certain amout of people, you need to round the number)


Your answer is : The expected population of Indianapolis in January 2019 would be of 2,042,515 people.


There you go! I really hope this helped, if there's anything just let me know! :)

8 0
3 years ago
Tyler saves 17% of his income and he makes $4300 a month. how much will he save?
aleksklad [387]

Answer:

25294.1176471

Step-by-step explanation: :)

6 0
3 years ago
Read 2 more answers
Twice the difference of a number c and forty.​
dybincka [34]

Answer:

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c = -40

Step-by-step explanation:

2(c - 40)

= (2c) - (80)

= 2c - 80

= \frac{2c}{2} + (\frac{-80}{2})

c = -40

4 0
3 years ago
Read 2 more answers
Gavin plans to mix a batch of tangerine paint. He expects to have a total of 5 3/10 ounces of paint after he mixes the amounts o
SVEN [57.7K]
Tangerine is simply color orange, which is an addition of red and yellow colors. To analyze if the portions written below are reasonable, the given sum must equal to the sum of the individual red and yellow parts.

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3.45 ? 1.5
3.45 ≠ 1.5

<em>Since they are not equal, then it means the portions are unreasonable.</em>
3 0
3 years ago
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