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KengaRu [80]
2 years ago
5

Write the quadratic equation whose roots are, -4 and 6 and whose leading coefficient is 4

Mathematics
1 answer:
Hitman42 [59]2 years ago
6 0

\begin{cases} x=-4\implies &x+4=0\\\\ x=6\implies &x-6=0 \end{cases}\qquad \implies (x+4)(x-6)=\stackrel{y}{0} \\\\\\ (x^2-2x-24)=\stackrel{y}{0}\implies 4(x^2-2x-24)=\stackrel{y}{0}\implies {\Large \begin{array}{llll} 4x^2-8x-96=y \end{array}}

Check the picture below.

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A swimming pool that holds 1200 gallons of water can be completely drained by a two pumps. The first pump is small and can only
sp2606 [1]

Answer: 45 minutes

Step-by-step explanation:

the first pump takes care of 300 gallons so we need to worry about the remaining 900 gallons. the second pump removes 20 gallons per minute so all u have to do to find how many minutes it would take is divide 900 gallons by 20 gallons a minute which gives you 45

it will take 45 minutes to completely drain the pool

6 0
3 years ago
melissa is saving money to buy a game. So far she has saved $30, which is three-fifths of the total cost of the game. How much d
Shkiper50 [21]
$50 would be the answer.
6 0
3 years ago
Find the inverse function answer to the question in the image attached.
koban [17]

The inverse function is:

g(x) = 27*x^3 - 4

And g(2) = 212.

<h3>How to get the inverse function?</h3>

We need to find g(x) such that:

g(h(x)) = x.

We know that:

h(x) = \frac{\sqrt[3]{x + 4} }{3}

Then our function must be a cubic, multiplied by 3^3 = 27, and then subtracts 4, it is:

g(x) = 27*x^3 - 4

As you can see, if you evaluate in h(x), the outcome is x.

Now we can evaluate this in x = 2, we get:

g(2) = 27*2^3 - 4 = 212

The correct option is C.

If you want to learn more about inverses.

brainly.com/question/14391067

#SPJ1

4 0
2 years ago
my account gives mostly free points but you will sometimes have to answer a little question :p first question is: There are 15 b
fenix001 [56]

Answer:

Step-by-step explanation:

5/9m=15

9/5x5/9 cross that out and you have to do 15/1x9/5 which is 3/1x9/1 which is 27 muffins.

multiple 9/5 by 5/9 because of the recipricol which evens out that number because it becomes whole. then do the same thing to the 15 and you simplify both the fractions then multiply which creates 27, or just look at 5/9 and 15/x 15 divided by 5 is 3 and 3 times 9 is 27 tada!!

4 0
3 years ago
What is the slope and y intercept of the equation 6x - 1 = 3y - 10
-BARSIC- [3]

your x value is your slope so the  slope is 6 and your y intercept is the y value so your intercept is 3

hope this helps

3 0
4 years ago
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