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faltersainse [42]
3 years ago
13

A = 6x-11 g= 36 n = 7x - 27 Solve for x

Mathematics
1 answer:
kotykmax [81]3 years ago
8 0

Answer:

6x - 11 + 7x - 27 = 36

6x + 7x = 13x

-11 + (-27) = -38

13x - 38 = 36

-38 - 36 = -74

13x/13 = -74/13

x = -74/13

Step-by-step explanation:

can no longer be simplified

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during a softball game kay hit a fly ball the function f(x) = -16t^2 + 64t + 4 describes the height of the softball in feet. mak
STatiana [176]
<h2>Hello!</h2>

The graph is attached.

To graph a parabola we need to know the following:

- If the parabola is open upwards or downwards

- They axis intercepts (if they exist)

- The vertex position (point)

We are given the function:

f(t)=-16t^{2}+64t+4

Where,

a=-16\\b=64\\c=4

For this case, the coefficient of the quadratic term (a) is negative, it means that the parabola opens downwards.

Finding the axis interception points:

Making the function equal to 0, we can find the x-axis (t) intercepts, but since the equation is a function of the time, we will only consider the positive values, so:

f(t)=-16t^{2}+64t+4\\0=-16t^{2}+64t+4\\-16t^{2}+64t+4=0

Using the quadratic equation:

\frac{-b+-\sqrt{b^{2}-4ac } }{2a}=\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}\\\\\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}=\frac{-64+-\sqrt{4096+256} }{-32}\\\\\frac{-64+-\sqrt{4096+256} }{-32}=\frac{-64+-(65.96) }{-32}\\\\t1=\frac{-64+(65.96) }{-32}=-0.06\\\\t2=\frac{-64-(65.96) }{-32}=4.0615

So, at t=4.0615 the height of the softball will be 0.

Since we will work only with positive values of "x", since we are working with a function of time:

Let's start from "t" equals to 0 to "t" equals to 4.0615.

So, evaluating we have:

f(0)=-16(0)^{2}+64(0)+4=4\\\\f(1)=-16(1)^{2}+64(1)+4=52\\\\f(2)=-16(2)^{2}+64(2)+4=68\\\\f(3)=-16(3)^{2}+64(3)+4=52\\\\f(4.061)=-16(4.0615)^{2}+64(4.0615)+4=0.0034=0

Finally, we can conclude that:

- The softball reach its maximum height at t equals to 2. (68 feet)

- The softball hits the ground at t equals to 4.0615 (0 feet)

- At t equals to 0, the height of the softball is equal to 4 feet.

See the attached image for the graphic.

Have a nice day!

3 0
3 years ago
How do you find the total area of the pyramid?
marissa [1.9K]
The formula is 1/3*height*area of base.
7 0
3 years ago
Evauluate 37/100+3/10
zheka24 [161]

Answer:

67/100

Step-by-step explanation:

Find common denominators, note that what you do to the denominator, you must do to the numerator.

The common denominator is 100:

(3/10)(10/10) = (3 * 10)/(10 * 10) = 30/100

Add:

37/100 + 30/100 = 67/100

67/100 is your answer.

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4 0
3 years ago
Read 2 more answers
Which function does not have a vertical asymptote
Gemiola [76]

Answer:

y=\frac{5x}{1+2x^2}

Step-by-step explanation:

Option ~A ~ does ~ not ~ have ~a ~ vertical~ asymptote

<u>--------------------------</u>

Hope it helps...

Have a great day!!

8 0
3 years ago
Please help me..I’ll give good points and give BRAINLIEST!
Alinara [238K]

Answer:

It's the 3rd one

Step-by-step explanation:

5 0
2 years ago
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