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3 years ago

How do you factor 6x^2+14x+4

1 answer:

Taya2010 [7]3 years ago

3 0

(3x+1) (2x+4)

When the first number has multiple factors (like 6) it often times seems to be the factors that are closest together (3×2 instead of 6×1) So I usually use that as a starting point and play with the numbers until you find your answer. The more you do it, the easier it gets. And remember to always check your answer!

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Statistics question, please help.

Leto [7]

Answer will be C y=-x+6
Why?
The line or scatterpoints are going down from left to right which means it is a negative slope
As you can see one point is at 1,5 and the other is at 0,6 which means the slope goes down by 1
Giving you -x
What is the y intercept?? It is 6 so that completes the line equation
Y=-x+6 hope that helps

8 0

3 years ago

Read 2 more answers

The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 27 adolescent girls

abruzzese [7]

Answer:

a) t-statistic t = 0.9532

b) The standard error S.E = 1.2

c) The new t-statistic = 1.95

d) The new estimated standard error =0.666

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 16

The sample size n=27

The mean of the sample = 17.1

Given that the variance of the sample (S²) = 36.0

The standard deviation of the sample (S) = √36 = 6

Test statistic

$t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

$t = \frac{17.1 -16}{\frac{6}{\sqrt{27} } }$

t = 0.9532

The standard error is defined by

$S.E = \frac{S.D}{\sqrt{n} } = \frac{6}{\sqrt{27} } =1.154$

Step(ii):-

c) given that the sample size n = 81

Test statistic

$t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

$t = \frac{17.1 -16}{\frac{6}{\sqrt{81} } }$

t = 1.65

The new standard error is defined by

$S.E = \frac{S.D}{\sqrt{n} } = \frac{6}{\sqrt{81} } = 0.66$

3 0

2 years ago

Can anyone help me answer 4 and 5? Plzz

GaryK [48]

#4

Examine the relationship between y and x, waiting until later to examine the y-intercept. For example: If we look at B, and mult. x = 2 by 0.55, we get 1.10, which is not even close to the y = 6.5 given in the table. If, however, we mult. 2 by 3.55, we get 7.10, which is not the same as the y = 6.5 given in the table, but is much closer than 1.10.

Also note that all y values in the table are positive, so a negative slope would be inappropriate. That eliminates choices A and D.

Focus now on the remaining choices B and C. Again, let x= 2 and determine the associated y value. Which y value is closer to the table's 6.5?

B: 0.55(2) + 3.55 = 4.65 (relatively far away from the table's 6.5)

C: 3.55(2) - 0.55 = 6.55 (very close to the table's 6.5)

C is the correct answer.

3 0

2 years ago

Help find the inverse of each of the given functions

Olenka [21]

Answer:

x=4y-12

x+12=4y

x/4+12/4=y

y=x/4+3

therefore f^-1(x)=1/4x+3

5 0

1 year ago

A person bought some Australian dollar of NRs 1,50,000 according to the exchange rate. Australian dollar 1 = NRs 77.02. After fi

AlekseyPX

Answer:

5.26% profit (NRs 7,894.24)

Step-by-step explanation:

The exchange of 1,50,000 NRs to A$ will give ...

A$ 1/(NRs 77.02) = x /1,50,000

x = A$ 1,50,000/77.02 = A$ 1947.54 . . . . . (rounded down)

If the Nepali rupees are devalued by 5%, then what did buy A$ 1 will now buy only A$ 0.95. Then the exchange back to NRs will give ...

(NRs 77.02)/(A$ 0.95) = x/(A$ 1947.54)

x = NRs (1947.54)(77.02/0.95) = NRs 1,57,894.24

The effective profit is the difference from the amount initially exchanged, NRs 7,894.24, or ...

(1,57,984.24/1,50,000 -1) × 100% ≈ 5.26%

Additional comment

Except for the loss in the exchange due to rounding down, the profit would be 1/0.95 -1 = 5.2632%. Instead, it is 5.2628%. This is why investors move their money to investments that retain their value when the local currency is losing its value.

5 0

2 years ago