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4 years ago

Can someone help me solve this problem by factoring. x^2 + 8x + 16 = 0

Mathematics

2 answers:

Pavlova-9 [17]4 years ago

8 0

Factorization: (x + 4)∧2=0

Solutions based on Factorization: x + 4 = 0 ⇒ X∨1 = X∨2 = -4

Lostsunrise [7]4 years ago

5 0

The last number factors are 1*16, 2*8, 4*4
Of these factor pairs, which ones add to the center terms (8)?
4*4 = 16 and 4+4= 8
The factors are (x + 4) (x + 4)

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During a tunnel construction project, engineers used explosives to excavate partway into a mountain. Because of time constraints

AnnyKZ [126]

The given data can be tabulated as:

number of days,x length of tunnel (ft), y

0 225

5 350

20 725

30 975

55 1,600

To check if the growth is linear, the slope at points (0, 225) and (5, 350), and (0, 225) and (20, 725) should be equal. The formula for slope is:

m = (y2 – y1) / (x2 – x1)

Finding for slope (0, 225) and (5, 350):

m = (350 – 225) / (5 – 0) = 25

Finding for slope (0, 225) and (20, 725):

m = (725 – 225) / (20 – 0) = 25

Therefore the equation is linear in the form of:

y = mx + b

where b is the value of y at x = 0, so b = 225

The complete equation is:

y = 25x + 225

At x = 86 days

y = 25(86) + 225

y = 2,375 ft

Therefore the length of the completed tunnel is 2,375 feet.

5 0

4 years ago

The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0 (Think of these as

bija089 [108]

Answer:

0.477 is the probability that the average score of the 36 golfers was between 70 and 71.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 70

Standard Deviation, σ = 3

Sample size, n = 36

Let the average score of all pro golfers follow a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(score of the 36 golfers was between 70 and 71)

$\text{Standard error of sampling} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{36}} = \frac{1}{2}$

$P(70 \leq x \leq 71) = P(\displaystyle\frac{70 - 70}{\frac{3}{\sqrt{36}}} \leq z \leq \displaystyle\frac{71-70}{\frac{3}{\sqrt{36}}}) = P(0 \leq z \leq 2)\\\\= P(z \leq 2) - P(z \leq 0)\\= 0.977 - 0.500 = 0.477= 47.7\%$

$P(70 \leq x \leq 71) = 47.7\%$

0.477 is the probability that the average score of the 36 golfers was between 70 and 71.

8 0

4 years ago

Which is the slope of a line that is perpendicular to the line represented by the equation x-y = 8

Marat540 [252]

Answer:

-1

Step-by-step explanation: from the equation, x-y=8, make y the subject of the formulae , this gives - y= -x +8

divide all through by (-) sign, this gives y= x - 8

from the last equation above, the slope is the coefficient of x which is 1. since it is perpendicula, the answer is -1

by co efficient, we mean the number multiplying the unknown

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3 years ago

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Graph the set of points. Which model is most appropriate for the set?

Tamiku [17]

Check the slope between the moving points

slope between (–6, –1) & (–3, 2) = 1 
slope between (-3, 2) & (–1, 4) = 1 
slope between (-1, 4) & (2, 7) = 1 

the points are collinear and make an angle of 45 degrees with the x-axis 

we can have an equation of a line passing through (-6,-1) and slope 1 as 

(y + 1) = 1(x + 6) 
y = x + 5 is your linear model mostly

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4 years ago

What is the greatest common factor of of 36 and 70

Nostrana [21]

The GCF of 26 and 70 is 2.

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4 years ago

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