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rodikova [14]
3 years ago
8

Question 3

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Big Brain

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If f(x)= 1/x and g(x) = 3x+2 find (g • g)(-4)
OleMash [197]

Answer:

-4g2

Step-by-step explanation:

5 0
2 years ago
A ball is projected in to the air. Its height at time t is given by the equation
Ksju [112]
The equation gives the height of the ball. That is, h is the height of the ball. t is the time. Since we are looking for the time at which the height is 8 (h=8), we need to set the equation equal to 8 and solve for t. We do this as follows:

h=-16 t^{2} +60t+1
8=-16 t^{2} +60t+1
16 t^{2} -60t-1+8=0
16 t^{2} -60t+7=0

This is a quadratic equation and as it is set equal to 0 we can solve it using the quadratic formula. That formula is:
t= \frac{-bplus minus \sqrt{ b^{2}-4ac } }{2a}
You might recall seeing this as "x=..." but since our equation is in terms of t we use "t-=..."

In order to use the formula we need to identify a, b and c.
a = the coefficient (number in front of) t^{2} = 16.
b = the coefficient of t = -60
c = the constant (the number that is by itself) = 7

Substituting these into the quadratic formula gives us:
t= \frac{-(-60)plus minus \sqrt{ (-60)^{2}-4(16)(7) } }{2(16)}
t= \frac{60plus minus \sqrt{3600-448 } }{32}
t= \frac{60plus minus \sqrt{3152 } }{32}

As we have "plus minus" (this is usually written in symbols with a plus sign over a minus sign) we split the equation in two and obtain:
t=  \frac{60+56.1426}{32} =3.63
and
t=  \frac{60-56.1426}{32} =.12

So the height is 8 feet at t = 3.63 and t=.12

It should make sense that there are two times. The ball goes up, reaches it's highest height and then comes back down. As such the height will be 8 at some point on the way up and also at some point on the way down.


3 0
3 years ago
Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $60 per hour. The mechan
Nady [450]

Answer:

15 and 5 hours.

Step-by-step explanation:

Call x the time taken by the first chap, and y the second.

\left \{ {{x+y = 20 \atop {55x+60y=1125}} \right.

Let's divide by 5 and play with the LHS of the first equation a bit:

11x+ 11y +y = 225\\11(x+y)+y= 225 we know how much x+y is ( first equation!) let's solve.

11(20) +y = 225 \rightarrow y=5 At this point it's easy to check that x=15

8 0
2 years ago
Find the sum of the geometric series 6Σ3i i=2
topjm [15]

\sum_{3}^{6}2=\sum_{0}^{3}2=2+2+2=\boxed{6}

Or did you mean:

6\times\sum{3i}=6\times\sum{6}=6\times6=\boxed{36}

6 0
3 years ago
A client calls the clinic and says her 12 pound mixed breed dog was just stung by a bee and his face is starting to swell. You r
Nadya [2.5K]

Answer:

5mls

Step-by-step explanation:

Since the doctors recommend the woman to give her 12 pound mixed breed dog Benadryl 12.5 mg orally, and she has Benadryl liquid that is exactly 12.5 mg per teaspoon, all she has to do is to give her dog one teaspoon only.

Since one US teaspoon equals to 5 metric millimeters.

The woman would need to give her pet 5mls then.

6 0
3 years ago
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