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FinnZ [79.3K]
3 years ago
5

Find the zeros of the function below. -7x=x^2+12

Mathematics
1 answer:
Paul [167]3 years ago
5 0

Answer:

Step-by-step explanation:

-7x = x² + 12

Set equation to zero:

x² + 7x + 12 = 0

Quadratic formula:

x = [-7±√(7²-4·1·12)]/[2·1]

 =  [-7±√1]/2

 = -3,-4  

The zeros are -3 and -4

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A ball is kicked upward with an initial velocity of 32 feet per second. The ball's height, h (in feet), from the ground is model
stellarik [79]

Answer:

1.        t = 0.995 s

2.       h = 15.92  ft

Step-by-step explanation:

First we have to look at the following formula

Vf = Vo + gt

then we work it to clear what we want

Vo + gt = Vf

gt = Vf - Vo

t = (Vf-Vo)/g

Now we have to complete the formula with the real data

Vo = 32 ft/s      as the statement says

Vf = 0     because when it reaches its maximum point it will stop before starting to lower

g = -32,16 ft/s²        it is a known constant, that we use it with the negative sign because it is in the opposite direction to ours

t = (0 ft/s - 32 ft/s) / -32,16 ft/s²

we solve and ...

t = 0.995 s

Now we will implement this result in the following formula to get the height at that time

h = (Vo - Vf) *t /2

h = (32 ft/s - 0 ft/s) * 0.995 s / 2

h = 32 ft/s * 0.995 s/2

h = 31.84 ft / 2

h = 15.92  ft

4 0
3 years ago
An acute angle theta is in a right triangle with cos theta = 5/6. What is the value of sec theta?
pochemuha

Answer:

  • sec=1/cos

Step-by-step explanation:6/5

5 0
3 years ago
Toni simplified the expression , 22 × (16 −32 +1) ÷ 8. For Toni's first and second steps, he simplified the expression inside th
Anna007 [38]
When you subtract and add what is in the parentheses you would get -15 so I’m guessing he didn’t go from left to right when working inside the parentheses but when you solve the whole problem out you would get the answer: -41.25 If I missed something or you need me to show the work just let me know but I hope this helps !
6 0
3 years ago
What is 5/2 divided by 2/5
Len [333]

Answer: 6 and 1/4

Step-by-step explanation: To solve this problem, we first leave 5/2 alone so don't do anything to it.

For our second fraction, we want to switch the numerator and the

denominator which means find the reciprocal of it.

The reciprocal of 2/5 is just the opposite of it when

you flip it and it's going to be 5/2.

Because we did the opposite there, we need to do the opposite

of division and the opposite of division is multiplication.

So now we have 5/2 × 5/2 which is 25/4 or 6 and 1/4.

6 0
3 years ago
Determine whether the expression is a polynomial. If it is a polynomial state the degree of the polynomial
Pani-rosa [81]

Answer:

It is a polynomial of doom. mwahahahah, you cant stop me spider man

Step-by-step explanation:

6 0
3 years ago
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