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FromTheMoon [43]
3 years ago
5

What is the factored form of 5x2 − 18x − 8? (5x + 4)(x + 2) (5x + 2)(x − 4) (5x + 1)(x + 8) (5x + 1)(x − 8)

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
6 0
Hello! So, this question is in the form of ax² - bx - c. First thingd first, let's multiply a and c together. c = -8 and a = 5. -8 * 5 is -40. Now, let's find two factors that have a product of 40, but a sum of 18. If you list the factors, you see that 2 and 20 have a product of 40, but  2 - 20 is -18. The factors we will use are -2 and 20.

How to factor it:

For this question, you can use something called a box method and factor it by finding a factor of each column and row. Just make 4 boxes and put 5x² on the top left and -40 on the bottom left box. Put 2x on the top right box and -20x on the bottom left box. Now, factor out for each row and column. The factors should be 5x + 2 for the top part and x - 4 for the side. It should look like (5x + 2)(x - 4). Let's check it. Solve it by using the FOIL method and you get 5x² - 20x + 2x - 8. Combine like terms and you get 5x² - 18x - 8. There. The answer is B: (5x + 2)(x - 4)

Note: The box method may be challenging at first, but it can be really helpful on problems like these.
Taya2010 [7]3 years ago
3 0

Answer:

Always double check first but I think that it is (5x + 2)(x − 4)

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What is the solution to the equation 3/5(x+4)=1.04
aleksley [76]

Answer:

x= -2.27

Step-by-step explanation:

(0.6)(x+4)=1.04 divide both sides by 0.6

x+4=1.73 subtract 4 on both sides

x= -2.27

3 0
3 years ago
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svetlana [45]

Answer:

3\sqrt{2}

Step-by-step explanation:

\sqrt{18}

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3 0
3 years ago
The operations manager of a large production plant would like to estimate the mean amount of time a worker takes to assemble a n
xz_007 [3.2K]

Answer:

(15,595, 16,805)

Step-by-step explanation:

We have to:

m = 16.2, sd = 3.75, n = 150

m is the mean, sd is the standard deviation and n is the sample size.

the degree of freedom would be:

n - 1 = 150 - 1 = 149

df = 149

at 95% confidence level the t is:

alpha = 1 - 95% = 1 - 0.95 = 0.05

alpha / 2 = 0.05 / 2 = 0.025

now well for t alpha / 2 (0.025) and df (149) = t = 1,976

the margin of error = E = t * sd / (n ^ (1/2))

replacing:

E = 1,976 * 3.75 / (150 ^ (1/2))

E = 0.605

The 95% confidence interval estimate of the popilation mean is:

m - E <u <m + E

16.2 - 0.605 <u <16.2 + 0.605

15,595 <u <16,805

(15,595, 16,805)

5 0
3 years ago
1) What is the opposite of adding 5?
andriy [413]

Answer:

1. subtracting 5

2. adding 20

3. dividing by 1/2

4. multiplying by 10

5 0
3 years ago
Read 2 more answers
if workers were able to pave 1/3 of your driveway in 40 minutes if they work at same rate what portion of driveway will they pav
Dafna1 [17]
40min is 1/3
implies 20min is 1/6
60min is 1/3+1/6=3/6=1/2
5 0
3 years ago
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