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steposvetlana [31]
3 years ago
5

Part A: The area of a square is (9x2 + 24x + 16) square units. Determine the length of each side of the square by factoring the

area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (16x2 − 25y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Mathematics
1 answer:
ella [17]3 years ago
4 0

Answer:

Step-by-step explanation:

Part A

9x^2 + 24x + 16

= (3x + 4)(3x + 4)

length of each side = 3x + 4 units.

Par B

16x^2 - 25y^2

= (4x + 5y )( 4x - 5y)

length = 4x + 5y and width = 4x - 5y

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Help with math please!
My name is Ann [436]

Answer: 8^10

Add up the exponents 6 and 4 to get 6+4 = 10. This is using the rule a^b*a^c = a^(b+c). In this case, a = 8, b = 6, c = 4.

7 0
2 years ago
Read 2 more answers
A random sample of 12 recent college graduates reported an average starting salary of $54,000 with a standard deviation of $6,00
Marianna [84]

Answer: a.) $50188 to $57812

Step-by-step explanation: <u>Confidence</u> <u>Interval</u> (CI) is an interval of values in which we are confident the true mean is in.

The interval is calculated as

x ± z\frac{s}{\sqrt{n} }

a. For a 95% CI, z-value is 1.96.

Solving:

54,000 ± 1.96.\frac{6000}{\sqrt{12} }

54,000 ± 1.96\frac{6000}{3.464}

54,000 ± 1.96*1732.102

54,000 ± 3395

This means the interval is

50605 < μ < 57395

<u>With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or </u><u>from 50188 to 57812$.</u>

<u />

b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.

4 0
2 years ago
Amy is eight years older than twice her cousin Alicia’s age. The sum of their ages is less than 32. Let x represent Alicia's age
Vladimir [108]
Assume that the age of Alicia is x and that of Amy is y
Twice the age of Alicia = 27
Eight years older means we will add 8
Therefore, the statement "<span>Amy is eight years older than twice her cousin Alicia’s age" can be represented as follows:
y = 8 + 2x (equation)
The sum of their ages is less than 32 can be represented as:
x + y < 32 which can also be written as y < 32-x (inequality)
</span>
7 0
3 years ago
Please someone answer this!
Kaylis [27]

Answer: 108$

Step-by-step explanation:

5 0
3 years ago
State the slope and y intercept of the graph of 9-x=2y
jasenka [17]
The equation of a line is given by y = mx + c; where m is the slope.
The given equation is 9 - x = 2y
y = -1/2 x + 9/2
Therefore, the slope is -1/2 and the y-intercept is 9/2.


8 0
3 years ago
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