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svp [43]
3 years ago
14

How do you factor 7x^{2}+29x+4

Mathematics
1 answer:
Gala2k [10]3 years ago
7 0
When you have a coefficient in front of the "x^2" value, you have to multiply it by the end value (4)

so you want a set of integers that will add up to 29, by multiple to (7 x 4) = 28

The only numbers like that are 28 and 1, they add up to 29 and multiply to 29

Therefore, rewrite it like this 7x^2 + 28x + x + 4

and then factor out the 7x in the first two terms, to get this 

7x(x+4) + x + 4, then factor out 1 in the latter two terms to get this:

7x(x+4) +1(x+4), then use grouping to combine what you've got:

The factors are: {{  (7x+1)(x+4)  }} 
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Simplify (6^5)^2<br> A.b^7<br> B.b^5<br> C.b^3<br> D.b^10
avanturin [10]

Answer: the answer is D.b^10

Step-by-step explanation: Multiply the exponents in (b5)2

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b10

6 0
3 years ago
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14) Find the slope of the line containing the points (5, 3) and (-7, 2).
Zina [86]

Answer:

1/12

Step-by-step explanation:

Step one:

given data

the line containing the points (5, 3) and (-7, 2).

x1= 5

y1= 3

x2= -7

y2=2

Step two:

The slope is given as

Slope= y2-y1/x2-x1

substitute

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7 0
3 years ago
Help! Please show work. -2k+10=8(8k-7)
Burka [1]

Answer:

k=1

Step-by-step explanation:

-2k+10=64k-56

66=66k

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7 0
3 years ago
4x^2+5y^2=41<br> 3x^2-4y^2=23
dybincka [34]

Answer:

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Step-by-step explanation:

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3 years ago
Population A and Population B both have a mean height of 70.0 inches with an SD of 6.0. A random sample of 50 people is picked f
Alex

Answer:

Sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.

Step-by-step explanation:

To yield a more accurate estimate of the population mean, margin of error should be minimized.

margin of error (ME) of the mean can be calculated using the formula

ME=\frac{z*s}{\sqrt{N} } where

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  • s is the standard deviation of the sample (or of the population if it is known)
  • N is the sample size

for a given confidence level, and the same standard deviation, as the sample size increases, margin of error decreases.

Thus, random sample of 50 people from population A, has smaller margin of error than the sample of 20 people from population B.

Therefore, sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.

7 0
3 years ago
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