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scoundrel [369]
3 years ago
12

Use the function f(x) = −16x2 + 24x + 16 to answer the questions.

Mathematics
2 answers:
Anni [7]3 years ago
7 0

Step-by-step explanation:

a) f(x) = -16x^2 + 24x + 16

= -4(4x^2 - 6x - 4)

= -4(2x - 4)(2x + 1)

b) The x-intercepts can be found when y = 0. This happens when

2x - 4 = 0 or x = 2

and

2x + 1 = 0 or x = -1/2

Therefore, the x-intercepts are at (2, 0) and (-1/2, 0)

c) As x approaches positive infinity, f(x) approaches negative infinity. When x approaches negative infinity, f(x) approaches negative infinity. In other words, the graph of this function opens downward.

d) From part (b), we that its graph intersects the x-axis at the 2 points. We also know that it opens downwards. Also, the graph intersects the y-axis at

f(0) = -16(0)^2 + 24(0) + 16

= 16

or at (0, 16)

Mice21 [21]3 years ago
6 0

Answer:

the functionality of element and the researcher in the best pa the best of us the best pa sa bible I don't think I have any other one and only true to size of my module and we will see how I feel after I have to be done by the end the week if I become the

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Levart [38]
Right now it is noon..... you are traveling 75 miles per hour meaning you'll move 75 miles... every hour. so you're 120 miles away so now we need to figure out the time.... to do this we already know 1 hour is 75 miles so now you can subtract one hour 120-75= 45 so 75 per hour, what would 45 be?..... so we can set up a fraction to figure out how long it takes to travel one minute.... so 60/75(the 60 is for minutes in an hour). which is .8 of a second to travel one mile so.... now you can multiply to check your work. .8*75=60 mins.... so now multiply.8*45(miles left)=36 so you'd get there at 1:36 it would take an hour and 36 mins to get to your destination going 75mph
6 0
3 years ago
john ran at a pace of 3.5 miles per hour for a distance of 10.5 miles. how many minutes did it take him to run 10.5 miles? use t
Rainbow [258]

The minutes it takes him to run 10.5 miles is 180 minutes

<h3>How many minutes did it take him to run 10.5 miles?</h3>

The given parameters are

Speed = 3.5 miles per hour

Distance = 10.5 miles

The time is calculated as:

Time = Distance/Speed

So, we have

Time = 10.5 miles/3.5 miles per hour

Evaluate the quotient

Time = 3 hours

Convert to minutes

Time  = 180 minutes

Hence, the minutes it takes him to run 10.5 miles is 180 minutes

Read more about speed at:

brainly.com/question/6504879

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5 0
1 year ago
Factor y=x^4 +6x^2-7
sasho [114]
(x^2-1)(x^2+7) should be your answer
4 0
3 years ago
Please help me I need it please help I'm begging you
Citrus2011 [14]

Answer:

5

Step-by-step explanation:

def is similar to abc so the 7.5 side is 1.5x bigger so divide 7.5 by 3 and multiply by 2

6 0
2 years ago
Abraham told his friends to try and guess his number. He said that when you take his number and multiply it by 4 and add 12 you
lisov135 [29]

Answer:

C) 22

Step-by-step explanation:

I have set up an equation based off of what Abraham said.

(n*4)+12=100\\\\4n+12=100\\\\4n+12-12=100-12\\\\4n=88\\\\\frac{4n=88}{4}\\\\\boxed{n=22}

The number should be 22.

Hope this helps.

Hope this helps.

8 0
3 years ago
Read 2 more answers
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