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Amanda [17]
3 years ago
11

Answer the problems in the picture below.

Mathematics
1 answer:
trasher [3.6K]3 years ago
5 0
(a) 8.64 hours (b) 5.68 hours (c) .74 hours (44.4 minutes)
You might be interested in
a rock is launched from a canon. it's height, h(x), can be represented by a quadratic function in terms of time, x, in seconds.
ratelena [41]
This is the quadratic function:
h(x)=ax²+bx+c

We have two points:
(1,58)
(2,112)

Now, we calculate this quadratic funtion.

we assume that h(0)=0
Therefore:
a(0)²+b(0)+c=0
c=0

(1,58)
a(1)²+b(1)=58
a+b=58  (1)

(2,112)
a(2)²+b(2)=112
4a+2b=112
2a+b=56  (1)

With the equations (1) and (2) we make a system of equations:
a+b=58
2a+b=56
we can solve this system of equations by reduction method.
-(a+b=58)
2a+b=56
---------------------
a=-2

-2(a+b=58)
 2a+b=56
-------------------
       -b=-60  ⇒  b=60

The function is:
h(x)=ax²+bx+c
h(x)=-2x²+60x

Now find the height, in feet, of the rock after 10 seconds in the air.

h(10)=-2(10)²+60(10)
h(10)=-200+600=400

Answer: 400 ft.
6 0
2 years ago
Read 2 more answers
Solve the system of linear equations.<br><br> −x+2y=7<br> x−2y=7
ivolga24 [154]
The answer is no solution.
hope that helps!
6 0
2 years ago
Read 2 more answers
Yoo i need help with this stuff
romanna [79]
There are 1760 yards in a mile
2 miles = 3520 yards

he runs 80 yards per practice (4×20)
3520÷80= 44

he needs to do the practice 44 times.

--------------

There are 128 oz in a gallon
he brought two gallons, meaning 256 oz
each cup holds 8 oz

256 ÷ 8 = 32

he can serve 32 cups.
7 0
3 years ago
Please help I found this one a bit confusing ​
Brums [2.3K]

Answer:

7.2

Step-by-step explanation:

To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.

The Pythagorean Theorem states that a^2+b^2=c^2. If we plug the side lengths in for a and b, we get 4^2 + 6^2 = c^2. This can be simplified to 16+36=c^2, or 52 = c^2. If we root both sides, we find that c is equal to \sqrt{52}, which is slightly more than 7, at around 7.2.

4 0
2 years ago
Esma has a box that is 20 cm wide 10 cm high, and 10 cm deep she wants to fill the box with packages that are 5 cm wide 2 cm hig
anastassius [24]

Answer:

Esma can fit 3 packages in the box because 20+10+10=30 and 5+2+2=9 so if you add up 9 three times you get 27 and that is the closest number you can get before going over.

Step-by-step explanation:

6 0
2 years ago
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