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Nikolay [14]
3 years ago
10

Which equation shows this formula solved for m?

Mathematics
1 answer:
kozerog [31]3 years ago
5 0

Answer:

viariables

Step-by-step explanation:

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The graph below shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet: Pa
Thepotemich [5.8K]
<span>Part A:

a) What do the x-intercepts and maximum value of the graph represent?

The x-intercepts are the distances at which the ball is on the ground.

First, at x = 0, that is when the ball is kicked; second, at x = 30, when the ball falls (return) to the ground.

b) What are the intervals where the function is increasing and decreasing, and what do they represent about the distance and height? (6 points)

The function is increasing in the interval (0, 15) and is decreasing in the interval (15,30)

The increasing interval (0,15) is the horizontal distance from the point the the ball was kicked until it reached its highest altitude, this is where the ball was going upward.

The decreasing interval (15,30) is the horizontal distance from the point where the ball reached its highest altitude until it landed on the ground, this is where the ball was falling down.

Part B: What is an approximate average rate of change of the graph from x = 22 to x = 26, and what does this rate represent 

On the graph you can read that at x = 22, f(x) ≈ 12, and at x = 26 f(x) ≈ 7.

So, an approximate rate of change from x = 22 to x = 26 is given by the equation below:

                                            change on f(x)        7 - 12
average rate of change = --------------------- =    ----------- = -5/4
                                            change of x           26 - 22

That rate represents that the ball fell about 5 ft per 4 ft in that interval.
</span>
5 0
3 years ago
Read 2 more answers
Can some one help me with number 1.
sammy [17]
D. 34 and 56 degrees - when added together equal 90 degrees
6 0
3 years ago
Please help fassssst
Zarrin [17]

Answer:

\dfrac{9}{2}

Step-by-step explanation:

You can do this using the quadratic equation:

x =\dfrac{-b\pm\sqrt{b^{2}-4ac}}{2a}

Let's first setup our expression:

4x² + 12x = 135

the quadratic formula is:

ax² + bx + c = 0

4x² + 12x - 135 = 0

Then:

a = 4

b = 12

c = -135

Now we plug in our coefficients and solve:

x =\dfrac{-12\pm\sqrt{12^{2}-4(4)(-135)}}{2(4)}

We solve for both to determine the positive one:

x =\dfrac{-12+ \sqrt{12^{2}-4(4)(-135)}}{2(4)}              x =\dfrac{-12- \sqrt{12^{2}-4(4)(-135)}}{2(4)}

x =\dfrac{-12+ \sqrt{144+2160}}{8}                        x =\dfrac{-12- \sqrt{144+2160}}{8}

x =\dfrac{-12+ \sqrt{2304}}{8}                                 x =\dfrac{-12- \sqrt{2304}}{8}

x =\dfrac{-12+ 48}{8}                                        x =\dfrac{-12- 48}{8}

x =\dfrac{36}{8} = \dfrac{9}{2}                                           x =\dfrac{-60}{8} = \dfrac{-15}{2}

So if you are looking for a positive solution, just take the positive one as x.

8 0
3 years ago
Find the real solution(s) of the equation. Round your answer to two decimal places when appropriate. 5x^6=30
Elina [12.6K]

Answer:

The real solutions are

x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35

Step-by-step explanation:

The solution, or root, of an equation is any value or set of values that can be substituted into the equation to make it a true statement.

To find the real solutions of the equation 5x^6=30:

\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5x^6}{5}=\frac{30}{5}\\\\\mathrm{Simplify}\\\\x^6=6\\\\\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)}\\\\x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35

7 0
3 years ago
Find the volume of the cone
alexdok [17]

Answer:

Find 6.75% of 260

Step-by-step explanation:

Hi

8 0
3 years ago
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