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4 years ago

Use the parabola tool to graph the quadratic function. F(x) = x^2 + 10x + 24

Mathematics

2 answers:

Klio2033 [76]4 years ago

6 0

Answer:

Step-by-step explanation:

Hope it helped

grin007 [14]4 years ago

6 0

Answer:

see below

Step-by-step explanation:

F(x) = x^2 + 10x + 24

Factor

( x+6) (x+4)

We have zeros at -6, -4

So the function crosses the x axis at -6 and -4

The vertex is 1/2 way between the zeros so it is at -5

f(-5) = (-5+6) (-5+4) = 1 *-1 = -1 so the vertex is (-5,-1)

We know the parabola opens up

It has a y intercept of 24

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The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the fir

xxMikexx [17]

Answer:

common difference is 0.5

first term is 5

Step-by-step explanation:

use the formula for the nth term of an ap Tn=a+(n-1)d

T12=10.5

T18=13.5

therefore come up with two equations

T12=a+(12-1)d

10.5=a+11d(1st equation)

T18=a+(18-1)d

13.5=a+17d(2nd equation)

then solve both as a simultaneous equation

a+11d=10.5

a+17d=13.5

-6d/-6=-3/-6

d=0.5

use one of the equations to find the first term

a+11(0.5)=10.5

a+5.5=10.5

a=10.5-5.5

a=5

I hope this helps

please mark as brainliest

7 0

3 years ago

The number of bacteria in a culture is expected to grow 82% per hour over the next several hours. The predicted change in the nu

Advocard [28]

If my simplification is valid the answer is:

1.4 % growth each minute

I don’t feel like the representation
P = 120(1.82) is important in this certain problem.

So P the predicted number of bacteria is not practical with this problem.

Use the 82% per hour and divide it by 60 because there are 60 minutes in an hour.

When doing this you find the rate in which bacteria grows which is about 1.4%.

The prediction is about 1.82 percent for 120 something it’s not clarified, but I’m guessing that’s minutes.

So you can prove that the prediction is over the rate in which bacteria grows per minute.

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2 years ago

The Ratio of boys to girls in Martin Middle school is 3/2. what is the percent of the entire school is boys?

Llana [10]

3+2=5

5x=100%

x=20 (divide)

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60% are boys, 40% are girls

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Andreyy89

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4 years ago

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Hope this helps :)

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3 years ago