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Anvisha [2.4K]
3 years ago
11

What is the expression in factored form? x 2 + 14x + 48

Mathematics
1 answer:
Dahasolnce [82]3 years ago
3 0
<span>x</span>²<span> + 14x + 48 = x</span>² + 8x+6x + 48 = x(x+8) + 6(x+8) = (x+8)(x+6)
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HELP:::: Find the volume
ad-work [718]

Answer:

94,080 cm^3

Step-by-step explanation:

V= L • W • H

V= 42 • 35 • 64

V= 94,080

Hope this helps, good luck!

4 0
2 years ago
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The value of n is both 5 times as much as the value of m and 36 more than the value of m. What are the values of n and m? Explai
tia_tia [17]
N = 5m
n = m + 36

since n is equal to both the expression in m we can say:-

5m = m + 36
4m=36

m = 9 

and n = 5*9 = 45

3 0
3 years ago
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lesya [120]
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3 0
3 years ago
The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding
Andru [333]

Answer:

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Step-by-step explanation:

Values (x) ∑(Xi-X)^2

----------------------------------

29.1                    0.1702

28.5                  1.0252

28.8                  0.5077

29.4                   0.0127

29.8                  0.0827

29.8                  0.0827

30.1                   0.3452

30.6                   1.1827

----------------------------------------

236.1                 3.4088

Mean = 236.1 / 8 = 29.51

S_{x}=\sqrt{3.4088/(8-1)}=0.6978

Statement of the null hypothesis:

H0: u ≥ 30 the mean wedding cost is not less than $30,000

H1: u < 30 the mean wedding cost is less than $30,000

Test Statistic:

t=\frac{X-u}{S/\sqrt{n}}=\frac{29.51-30}{0.6978/\sqrt{8}}= \frac{-0.49}{0.2467}=-1.9861

Test criteria:

SIgnificance level = 0.05

Degrees of freedom = df = n - 1 = 8 - 1 = 7

Reject null hypothesis (H0) if

t

Finding in the t distribution table α=0.05 with df=7, we have

t_{0.05,7}=2.365

t>-t_{0.05,7} = -1.9861 > -2.365

Result: Fail to reject null hypothesis

Conclusion: Do no reject the null hypothesis

u ≥ 30 the mean wedding cost is not less than $30,000

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Hope this helps!

5 0
3 years ago
PLEASE HELP ME!!
Simora [160]
<span>Part 1.

Given that a small company did an analysis of their pay scale versus years of experience and found that the line of best fit was y = 2035.6x + 36,000.

The 36,000 in the context of the problem mean that if they had 0 years of experience their salary would be 36,000.

For any linear equation of the form y = mx + c, The value of c is the value of the function when the independent variable, x, is 0.



Part 2.

Given that Harris is building a deck around his pool and that his contractor charges $525 for labor plus an additional $4.75 per square foot for materials.

Recall that the equation of a line is given by y = mx + c, where m is the rate at which the independent value, x, is changing and c is the fived initial value.

Given that the contractor charges a fixed labour cost of $525 and additional rate of $4.75 per square foot for materials, therefore, the equation that can be used to determine the cost (y), in dollars, for a deck with an area of x square feet is given by y = 4.75x + 525



Part 3.

Given that Ted researched the price of airline tickets and discovered a correlation between the price of a ticket and the number of miles traveled and after recording his data on a scatter plot, he determined the equation for the line of best fit is y = 300 + 0.45x.

The 0.45  in the equation represent the number of miles traveled

</span>For any linear equation of the form y = mx + c, The value of m is the <span><span>rate at which the independent value, x, is changing.



</span> Part 4.

The product of two or more numbers is the multiplication of the numbers. The expression that best represents the product of quantities a, b, and H is given by abH




Part 5)
 
Given that the price of a gallon of milk was $2.65. After the price rose y dollars after the last hurricane, the price becomes 2.65 + y. After the price dropped $0.15, the price becomes 2.65 + y - 0.15 = 2.5 + y. After the price rose again by $0.05, the price becomes 2.5 + y + 0.05 = 2.55 + y.

Therefore, the expression that represents the current price of milk is given by 2.55 + y




Part 6)
 
Given that the function C = 12x + 1500 models the cost of consumable computer supplies for a school district.

Given that in the equation, C represents the cost (in thousands of dollars), and x represents the number of years since 2015.

2030 is 15 years since 2015, thus, the value of x in the model is 15.

Therefore, according to the model, the cost of </span><span>consumable computer supplies for the school district for the year 2030 will be 12,000(15) + 1,500,000 = 180,000 + 1,500,000 = $1,680,000.




Part 7.

There are 12 months in 1 year, thus, there will be (1)(x) / 12 = x / 12.

Therefore, the expression that represents how many years are in x months is given by x / 12




Part 8.

Given that Henry and Holly catch crawfish which they sell to a local Cajun restaurant and that the restaurant pays them $3.80 a pound for live crawfish that are large enough.

Given that 5% of the crawfish die before they can deliver them to the restaurant and 7% of the live crawfish are too small.

Thus, the percentage of a pound of crawfish sold is given by (1 - 0.05)(1 - 0.07) = 0.95 x 0.93 = 0.8835 = 88.35%

Let x represent the number of pounds of crawfish they catch, therefore, an expression which represents how much money they make per pound of crawfish they catch is given by 88.35% of 3.80 = 0.8835(3.80) = 3.357x




Part 9.

Given that Olivia is growing roses and keeps track of how much fertilizer (in ounces) she adds to the soil and how many blooms each rose bush has.

Given that a linear relationship that can be modeled by the equation y = 1.345x + 4 is established.

From the model it can be seen that Olivia's rose bush will have 4 blooms when x is 0, i.e. when she adds no fertilizer to the soil.




Part 10.

Given that Olivia is growing roses and keeps track of how much fertilizer (in ounces) she adds to the soil and how many blooms each rose bush has.

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For any linear equation of the form y = mx + c, The value of m is the <span>rate at which the independent value, x, is changing.</span>
6 0
3 years ago
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