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Artemon [7]
3 years ago
8

The path of a football kicked by a field goal kicker can be modeled by the equation y = -0.04x2 + 1.56x, where x is the

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

Answer:

45.63

Step-by-step explanation:

Setler [38]3 years ago
5 0

Answer:

19.5 yd

Step-by-step explanation:

To khown the maximum height we must derivate the function and see when the derivated function equals 0

Let f be our function : f(x)= -0.04x²+1.56x ⇒f'(x)= -0.08x+1.56

  • f'(x)= 0 ⇒ -0.08x+1.56 =0 ⇒1.56= 0.08 ⇒ x= 1.56/0.08 ⇒ x=19.5
  • so the maximum height is 19.5 yd

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Find the slope of the line passing through the points <br> , −8−3<br> and <br> , −34<br> .
alukav5142 [94]

Slope of the line passing through two points <span><span>P=<span>(<span><span>x1</span>,<span>y1</span></span>) </span></span></span>and <span><span>Q=<span>(<span><span>x2</span>,<span>y2</span></span>)</span></span></span> is given by <span><span>m=<span><span><span>y2</span>−<span>y1/</span></span><span><span>x2</span>−<span>x1</span></span></span></span></span>.

We have that <span><span><span>x1</span>=−8</span></span>, <span><span><span>y1</span>=−3</span></span>, <span><span><span>x2</span>=−3</span></span>, <span><span><span>y2</span>=4</span></span>.

Plug given values into formula for slope: <span><span>m=<span><span><span>(4)</span>−<span>(<span>−3</span>)/</span></span><span><span>(<span>−3</span>)</span>−<span>(<span>−8</span>)</span></span></span>=<span>7/5</span></span></span>.

Now y-intercept is <span><span>b=<span>y1</span>−m⋅<span>x1</span></span></span> .

<span><span>b=−3−<span>(<span>7/5</span>)</span>⋅<span>(<span>−8</span>)</span>=<span>41/5.</span></span></span>

Finally, equation of the line can be written in the form <span><span>y=mx+b</span></span>.

<span><span>y=<span>7/5</span>x+<span>41/5</span></span></span>

5 0
3 years ago
A cylinder is 8 inches high. The circumference of the base 6pi inches. Find the volume
OverLord2011 [107]
The cylinder is 48 in volume
4 0
3 years ago
Read 2 more answers
Baba Clothing store is a having a 5% off sale on all of its clothing. Which expression represents the discounted price if p is t
Irina18 [472]

Answer:

The total of the prices of all of the baby shirts and sweaters that the store sold during the sale was $420.00. It's possible that 12 sweaters and 8 shirts are sold a bargen

Step-by-step explanation:

4 0
2 years ago
Simplify the following expression below:
IrinaK [193]
So, 4/3 - 2i

4/3 - 2i = 12/13 + i8/13

multiply by the conjugate: 
3 + 2i/3 + 2i
= 4(3 + 2i)/(3 - 2i) (3 + 2i)
(3 - 2i) (3 + 2i) = 13

(3 - 2i) (3 + 2i)

apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
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= 3^2 + (- 2)^2

refine: = 13
= 4(3 + 2i)/13

distribute parentheses:
a(b + c) = ab + ac
a = 4, b = 3, c = 2i
= 4(3) + 4(2i)

Simplify:
4(3) + 4(2i)
12    +    8i


4(3) + 4(2i)
Multiply the numbers: 4(3) = 12
= 12 + 2(4i)

Multiply the numbers: 4(2) = 8
= 12 + 8i


   12 + 8i
= 12 + 8i/13

Group the real par, and the imaginary part of the complex numbers:


Your answer is: 12/13 + 8i/13





Hope that helps!!!
7 0
3 years ago
A 5 poundbag of peanuts costs $9.30. It's going to be divided into 3/4 pound bags. How much will one bag cost?
dsp73
9.3/5 means that each pound is $1.86.

3/4 ($1.86) =$1.395 or $1.40 for 3/4 pound of peanuts. Hope that helps. :)
7 0
3 years ago
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