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bearhunter [10]
3 years ago
10

In each function, x is the horizontal distance the ball travels in meters, and y

Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Soccer ball reaches its highest position when its equation turns from positive slope to zero and then negative. Mathematically it is where the derivative of the its function equals to zero. so:

d(-3x^2 + 6x + 3) / dx = -6x + 6

-6x + 6 = 0 -> x = 1 ->

y = 6

it seems Paige's ball reaches higher than Viaola's with only 6 meters height.

You might be interested in
Solving systems of equations using substitution p=q+3 4p+3q= -30
patriot [66]
4(q+3) + 3q = -30
4q +12 + 3q = -30
7q+12= -30
7q = -12-30
7q = -42
q = -6
p = -3

5 0
3 years ago
p varies jointly as q and the square of r, and p = 200 when q = 2 and r = 3. Find p when q = 5 and r= 2.
Margarita [4]

Step-by-step explanation:

If a variables varies jointly, we can just divide it by the other variables in relation to it.

For example, since p variables jointly as q and square of r, then

\frac{p}{q {r}^{2} }  = k

where k is a constant

First, let find k. Substitute p= 200

q= 2, and r=3.

\frac{200}{2(3) {}^{2} }  = k

\frac{200}{18}  = k

\frac{100}{9}  = k

Now, since we know our constant, let find p.

\frac{p}{q {r}^{2} }  =  \frac{100}{9}

Q is 5, and r is 2.

\frac{p}{5( {2}^{2}) }  =  \frac{100}{9}

\frac{p}{20}  =  \frac{100}{9}

p =  \frac{2000}{9}

3 0
1 year ago
I need to know how to do Solving Systems of Equations by Elimination
vredina [299]
The point of elimination is to have one variable so example

3x + 2y = 4

7X + 3y = 5


1) Try to find a way to have one variable

7(3x + 2y = 4) ----> 21x + 14y = 28

-3(7x+ 3y = 5) -----> -21x -9y = -15


2) add

0 + 5y = 13

3) solve for the last variable

5y = 13
y = 13/5 = 2 3/5 = 2.8

4) Subsitute the variable to get the other one

3x + 2(2.8) = 4

3x + 5.6 = 4

3x = -1.6

x = 0.533333333 (continue)

The intersection would be 0.53 with a line above the 3 and 2.8. (0.5333 , 2.8)

Hope you understand!!
6 0
3 years ago
What are two equivalent forms for 15xyz+10xy+5x
7nadin3 [17]
We can express this number in the standard form, which is simply 15xyz+10xy+5x.  Alternatively, we can factor a 5 or an x out, receiving 5(3xyz+2xy+x) or x(15yz+10y+5).  However, the most effective factorization is to factor out 5x, for a result of 5x(3yz+2y+1).
3 0
3 years ago
Please help me if you know the answer.
Alex_Xolod [135]

Answer:

20°C

Step-by-step explanation:

(68°F - 32) × 5/9

= 36 × 5/9 = 20°C

brainliest is appreciated

6 0
3 years ago
Read 2 more answers
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