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Luda [366]
3 years ago
13

Given that (-4,2) is on the graph of f(x) find the corresponding point for the function -1/2f(x)

Mathematics
1 answer:
Aleks [24]3 years ago
8 0

Answer:

The corresponding point is (-4.-1)

Step-by-step explanation:

we know that

The point (-4,2) is on the graph of f(x)

so

For x=-4

f(x)=2

therefore

For x=-4

-(1/2)f(x)=-(1/2)*2=-1

The corresponding point is (-4.-1)

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Factoring trinomials 3x^3-24x^2+45x​
yarga [219]

Answer:

Option B: 3x(x - 3)(x - 5)

Step-by-step explanation:

The given polynomial is: 3x³ - 24x² + 45x

To factorize it: 3x³ - 24x² + 45x

Since, 3x is common through out we can take it out.

⇒               3x(x² - 8x + 15)

Now we have to factorize (x² - 8x + 15)

The roots of this quadratic equation is: 5, 3.

Therefore, x² - 8x + 15 = (x - 3)(x - 5)

Combining them, the factors of the polynomial would be:

(B)                                     3x(x - 3)(x - 5)

5 0
2 years ago
Rewrite the fraction in simplest form.<br> 14/30
Natali [406]
Find the greatest common factor. That is 2. 
Divide both numbers by 2.
14 ÷ 2 = 7
30 ÷ 2 = 15

Your answer is 7/15
5 0
3 years ago
Read 2 more answers
Madison bought an empty lot for $2,000 and later sold it for a 25% profit. How much did Madison sell the lot for?
Maurinko [17]

Answer:

A)500

Step-by-step explanation:

5 0
3 years ago
What is the expression in radical form?
garri49 [273]

Answer:

\sqrt[5]{25x^{2}y^{4}z^{6} }

Step-by-step explanation:

going to the 2/5 power is the the fifth root of a square. For fraction exponents going into radical form use the denominator as you root of and use the numerator as the exponent of the rest making sure to multiply any other exponents by that number and when there is no exponent treat it as having an exponent of one for the multiplying.  

8 0
3 years ago
Mark has 17 coins that are dimes and quarters. The total value of the coins is $2.45. How many dimes does mark have?
seropon [69]

Answer: 12 dimes and 5 quarters

Step-by-step explanation: Let's start this problem by setting up a chart so we can organize our information that we're given in this problem.

Down the left side, we'll have our different types of coins. In this case dimes and quarters. Across the top we'll have our formula which is shown below.

Number of coins · value of each coin = total value

Now let's fill out our chart.

For number of dimes and quarters, we know that mark has a total of 17 dimes and quarters but we don't know how many of each he has. In fact, that's what the problem is asking.

So if we represent our number of dimes as <em>x</em>, we can call our number of quarters <em>17 - x</em>.

The value of each dime is 10¢ and the value of each quarter is 25¢.

Our total value based on our formula is going to come from the first column times the second column. So the total value of our dimes is <em>x times 10</em> or <em>10x </em>and the total value of our quarters is <em>17 - x times 25</em> or <em>25 (17 - x)</em>.

Our goal in this problem will be to find <em>x </em>because <em>x</em> represents our number of dimes and the problem asks how many dimes does he have. If we know the number of dimes, we can easily find the number of dimes and we'll have our answer. However, we need an equation in order to find <em>x</em>.

It's important to understand that he information in this equation will always come from the last column of your chart, the total value column. So what do we know about the total value of our dimes and the total value of our quarters?

Well we know that the total value of all of our coins is $2.45. So if we add the total value of our dimes + the total value of our quarters, that should equal $2.45. So below the chart I added an additional box and I put 245 in it. Notice that I wrote 245 in terms of cents because our value of dimes and value of quarters is also written in terms of cents and we need to be constient.

So here's our equation.

10x + 25 (17 - x) = 245.

If we solve this, we get <em>x = 12</em>.

Going back up into our chart, remember that <em>x</em> represents our number of dimes so Mark has 12 dimes. To get his number of quarters, we take 17 - x which is 17 - 12 or 5 quarters and that's our answer.

I have also attached the chart that I have made below.

7 0
3 years ago
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