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Kay [80]
2 years ago
5

If you answer these questions correctly with an explanation you can get Brainliest

Mathematics
1 answer:
Zina [86]2 years ago
7 0
1. B 2. A i’m pretty sure they are right
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Riley makes a mistake in step 2 while doing her homework. what was her mistake? startfraction x over x squared minus 5 x 6 endfr
maw [93]

The mathematical mistake that Riley made is that:
"She used the wrong common denominator." (Option A)

<h3>What is a Common Denominator?</h3>

A common denominator is a factor that is similar to all the fractions in the sequence of equations.

Hence the correct answer is:

(2(2x² - 6x + 9))/((x-3) (x-2) (x+3))

See the correct sequence of steps below:

Step One - the Expression is given as:

(x/(x-3)(x-2)) + (3/(x+3))

Step 2 - Find the common denominator and rewrite the expression so that the numerators are above the common denominators.

Hence we have:  (x (x+3) + 3(x-3) (x-2))/(x-3)(x-2)(x+3)

Step 3  Apply the Law of Multiplicative Distribution:

Hence we have  (x² +3x+3x²-9x-6x+16)/(x-3)(x-2)(x+3)

Step 4 -  Collect Like Items

This gives us: (x²+3x²)+(3x-9x-6x)+18/(x-3)(x-2)(x+3)

Step 5 Sort for like coefficients

This gives us:  ((1+3)x² +(3-9-6) * x + 18)/(x-3)(x-2)(x+3)

Step 6 -  check for the sum or difference

This gives us: (4x²+(3-9-6) * x+ 18)/(x-3)(x-2)(x+3)

We simplify and factor the expression to get

(2(2x²-6x+6)/(x-3)(x-2)(x+3).

See the attached for full question.

Learn more about Common Denominators at:

brainly.com/question/542317

4 0
2 years ago
The current population of a town is 8,000. If the population, P, increases by 25% each year, which equation could be used to fin
Bad White [126]

Answer:

given:

principal [P]=8000

rate[r]=15%

population after t years=?

we have

population after t years=P(1+r/100)^t=8000(1+15/100)^t is your answer

4 0
2 years ago
Conduct a full hypothesis test and determine if the given claim is supported or not supported at the 0.05 significance level. A
monitta

Solution:-

- The population proportion, P = 0.03 ( 3 % )

- The sample proportion, p = 0.058 ( 5.8 % )]

- The sample size , n = 85.

- State the hypothesis:

                   Null hypothesis : P = 0.03 ( 3 % )

                   Alternate hypothesis : P ≥ 0.03 ( 3 % )

- The rejection region is defined by the significance level α:

                         significance α = 0.05

                         Z-critical = Z_α = Z_0.05

                         p-value = Z_0.05 = 1.645

- The Z-statistics:

                   Z = \frac{\sqrt{n}*(p - P ) }{\sqrt{P*(1-P)} }\\\\Z = \frac{\sqrt{85}*(0.058 - 0.03 ) }{\sqrt{0.03*(1-0.03)} }\\\\Z = 1.5132

- Compare against the rejection value ( p - value ):

                   Z-critical = 1.645

                   Z-test = 1.5132

                   Z-test  < Z-critical  ... ( Null not rejected )

- We fail to reject the Null hypothesis, there is not enough evidence to support the manager's claim that the production process is out of control. Hence, we can support that the production process is not out of control.

8 0
3 years ago
A plot of land is an irregular triangle with a base of 112 feet and a height of 47 feet. What is the area of the​ plot?
Amanda [17]
Final answer: 2632 square feet


Any triangle’s area is

1/2xbasexheight

The question gives you both so just multiply em

1/2x 112x 47 = 2632 square feet
4 0
2 years ago
Find the area of a triangle with a height of 38 and one side of 44
Masteriza [31]
Answer:

Area = 836

Step-by-step explanation:

Area = 1/2 bh
Area = 1/2 (44)(38)
Area = 1/2 1672
Area = 836
8 0
2 years ago
Read 2 more answers
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