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Rama09 [41]
3 years ago
13

n your notebook, set up the following subtraction in a vertical format and select the correct answer. Reduce 7y + 2y 2 - 7 by 3

- 4y
Mathematics
1 answer:
exis [7]3 years ago
6 0

Answer:

\frac{2y^2+7y-7}{3-4y}

Step-by-step explanation:

We are given

\frac{7y+2y^2-7}{3-4y}

we can rewrite it as

\frac{2y^2+7y-7}{3-4y}

we know that

2y^2+7y-7 can not be factored

so, we can not reduce this expression

because this is the only way to reduce it

so, we get reduced form as

\frac{2y^2+7y-7}{3-4y}


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Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 2 more than 5 times the number o
ch4aika [34]

Mark and Don have 18  and 92 marbles respectively.

<h3>What is the solution of the equation?</h3>

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

Let the number of marbles Mark has be x.

According to the question,

Don has (5x+2) marbles.

Total number of marbles=110

Thus, the required equation is:

x+5x+2=110

6x=108

x=108/6

x=18

Mark has 18 marbles.

Don has (5*18+2)=92 marbles.

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2 years ago
The scores on an exam are listed. If a teacher wants to explain how poorly the class did on the test, would she use the mean, me
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3 years ago
Read 2 more answers
Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come f
AlladinOne [14]

Answer:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

\hat p=0.64 estimated proportion of interest

p_o=0.5 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic

p_v represent the p value

System of hypothesis

We want to verify if the true proportion is higher than 0.5:  

Null hypothesis:p =0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

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A donkey weighs 570 pounds and an elephant weighs 5 tons how much more does the elephant weigh in pounds and ounces?
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The elephant weighs 9,430 pounds more than the donkey.
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If g(x)= 2x^4+3x^3-x^2, find g(-1)
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