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3 years ago

Please help question #14!!!

Mathematics

1 answer:

Yakvenalex [24]3 years ago

7 0

$\text{The domain:\\a+3\neq0\ \wedge\ a-2\neq0\\a\neq-3\ \wedge\ a\neq2$

$\dfrac{5}{a+3}=\dfrac{3}{a-2}\ \ \ \ |\text{cross multiply}\\\\5(a-2)=3(a+3)\\\\5a-10=3a+9\ \ \ |+10\\\\5a=3a+19\ \ \ \ |-3a\\\\2a=19\ \ \ \ |:2\\\\a=9\dfrac{1}{2}\\\\Answer:\ B.\ a=9\dfrac{1}{2}$

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Which polynomial is factored completely

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Answer: The correct option is c.

Explanation:

Reason for correct option:

$3x(9x^2+1)$

This expression cannot be factored further because $(9x^2+1)$ is the complete factor. Therefore the option c is correct.

Reason for incorrect option:

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Since the given expression can be factored further therefore the option d is incorrect.

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3 years ago

Read 2 more answers

On the way home from her friend's house Sandy skateboards 30% of the way, walks 1/2 of the way, and then skips the rest of the w

netineya [11]

Answer:

0.2

Step-by-step explanation:

Convert the walking to percent

$\frac{1}{2} \times 100 = 50$

Add both skateboarding and walking

$30\% + 50\%\\\\= 30 + 50\\\\= 80$

Now, subtract that from a whole percent

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Therefore, in decimal, 0.2 is the number that shows the portion of the distance Sandy skips.

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3 years ago

Use slope to determine if the following lines are parallel, perpendicular, or neither.

Gwar [14]

Answer:

The lines are parallel, with the same slope of 5.

Step-by-step explanation:

Remember that if slopes are the same, then the lines are parallel. If the slopes are opposite reciprocals, they are perpendicular. If they are neither of those cases, then they would be neither.

1) Since y = 5x + 1 is already in slope-intercept format (y = mx + b, in which m represents the slope) we know that 5 is the slope of that equation.

2) To find the slope of -5x + y = 6, let's just convert it to the slope-intercept format by isolating y on the left side like so:

$-5x + y = 6 \\y = 5x + 6$

(All you need to do is move -5x to the right side of the equation.) So, by looking at y = 5x + 6, we can do the same thing we did from step 1 and find that the slope is 5.

3) Since both of the equations' slopes are 5, they share the same slope - therefore, they are parallel.

Hope this helps! Please do not hesitate to ask any questions.

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3 years ago

jamerra receevied a $3000 car loan. she plans on paying off the car loan in 2 years at the end of 2 years, jamerra will have pai

Ksivusya [100]

the answer is :

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3 years ago

The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $5 each and will sell 800

Nadya [2.5K]

Answer:

The expected value of the profit is $-1

Step-by-step explanation:

The expected value of any discrete variable X is calculate as:

E(X)=X1*P(X1)+X2*P(X3)+...+X3*P(X3)

Where X1, X2, ..., X3 are the values that the variable can take and P(X1), P(X2), ..., P(X3) are their probabilities.

In this case the variable X is the dollars that can win, so:

X1=$2,000

X2=$300

x3=$20

X4=$0

Then the probabilities can be calculate as:

$P(X1)=\frac{1}{800}$

$P(X2)=\frac{3}{800}$

$P(X3)=\frac{15}{800}$

$P(X4)=\frac{781}{800}$

Replacing the variables and probabilities on the equation of expected value we get:

$E(X)=(2000*\frac{1}{800} )+(300*\frac{3}{800} )+(20*\frac{15}{800} )+(0*\frac{781}{800} )$

E(X)=$4

Additionally, the student bought a ticket by $5, so the expected profit can be calculate as:

Expected Profit = Expected Earnings - Cost = $4 - $5 = $-1

Finally, the expected value of the profit is $-1

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3 years ago