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Shtirlitz [24]
3 years ago
12

How do i factorize x2+14x+49

Mathematics
2 answers:
Fed [463]3 years ago
4 0

Answer:

(x + 7) (x + 7)

Step-by-step explanation:

What's the square root of x^2?

That's x

What's the square root of 49

That's 7

And what makes 14?

7 + 7 = 14

So therefore the answer is (x + 7) (x + 7)

Easy Kevin Durant is so smart!

Ivanshal [37]3 years ago
3 0

Answer:

The middle number is 14 and the last number is 49.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 14

Multiply together to get 49

Can you think of the two numbers?

Try 7 and 7:

7+7 = 14

7*7 = 49

Fill in the blanks in

(x+_)(x+_)

with 7 and 7 to get...

(x+7)(x+7)

Answer:

(x+7)(x+7)

 

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#1: x/4 - 3/4

#2: x/14 + 9/2

Step-by-step explanation:

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7 0
3 years ago
What is x to the power of 2 multiplied by negative 3x
melamori03 [73]

x^2*(-3x)=-3x^3. The power of x becomes 3 because you add the powers of x. (2+1=3)


3 0
3 years ago
4 m<br> 3m<br> 6 m<br> 8 m<br> UE<br> 3 m<br> Your answer
Lelu [443]

I don't understand, could you explain further?

6 0
3 years ago
2. A marketing firm is trying to estimate the proportion of potential car buyers that would consider
Maurinko [17]

Answer:

a. The number of people that should be in the pilot study are 600 people

b. The point estimate is 0.62\overline 6

c. At 95% confidence level the true population proportion of potential car buyers of hybrid vehicle is between the confidence interval (0.588, 0.6654)

d. Two ways to reduce the margin of error are;

1) Reduce the confidence interval

2) Use a larger sample size

Step-by-step explanation:

a. The given parameters for the estimation of sample size is given as follows;

The margin of error for the confidence interval, E = 4% = 0.04

The confidence level = 95%

The sample size formula for a proportion as obtained from an online source is given as follows;

n = \dfrac{Z^2 \times P \times (1 - P)}{E^2}

Where, P is the estimated proportions of the desired statistic, therefore, we have for a new study, P = 0.5;

Z = The level of confidence at 95% = 1.96

n + The sample size

Therefore, we have;

n = \dfrac{1.96^2 \times 0.5 \times (1 - 0.5)}{0.04^2} = 600.25

Therefore, the number of people that should be in the pilot study in order to meet this goal at 95% confidence level is n = 600 people

b. The point estimate for the population proportion is the sample proportion  given as follows;

\hat p = \dfrac{x}{n}

Where;

x = The number of the statistic in the sample

n = The sample size

From the question, we have;

The number of potential car buyers, n = 600

The number of respondent in the sample that indicated that they would consider purchasing a hybrid, x = 376

Therefore, the point estimate, for the proportion of potential car buyers that would consider buying a hybrid vehicle, \hat p = 376/600 = 0.62\overline 6

c. The confidence interval for a proportion is given as follows

CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

Therefore, we get;

CI=0.62 \overline 6\pm 1.96\times \sqrt{\dfrac{\hat{0.62 \overline 6}\cdot (1-\hat{0.62 \overline 6})}{600}}

C.I. ≈ 0.6267 ± 0.0387

The 95% confidence interval for the true population proportion of potential buyers of hybrid vehicle, C.I. =  (0.588, 0.6654)

d. The margin of error is given by the following formula;

MOE_\gamma = z_\gamma  \times \sqrt{\dfrac{\sigma ^2}{n} }

Where;

MOE_\gamma = Margin of error at a given level of confidence

z_\gamma = z-score

σ = The standard deviation

n = The sample size

Therefore, the margin error can be reduced by the following two ways;

1) Reducing the confidence interval and therefore, the z-score

2) Increasing the sample size

6 0
2 years ago
Factor x2 − 8x + 9.
kolezko [41]

x^2 − 8x + 9

What two numbers when multiplied yield 9 but when added yield -8?

There are no such numbers.

Use the quadratic formula.

7 0
3 years ago
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