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Nezavi [6.7K]
2 years ago
11

A high school track is shaped as a rectangle with a half circle on either side. Jasmine plans on running TWO laps. How many yard

s will Jasmine run? Use 3.14 for π. *
Mathematics
1 answer:
finlep [7]2 years ago
4 0

Answer:

880 yards

Step-by-step explanation:

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The graphs of f(x) and g(x) are shown below:
rosijanka [135]
<h2>Answer:</h2>

Option: C is the correct answer.

            C.)   x = −3.8, 3

<h2>Step-by-step explanation:</h2>

The function f(x) is given by:

           f(x)=x^2-x-12

and the function g(x) is given by:

            g(x)=-1.8x-0.6

Now, we are asked to find the solution of the equation:

        f(x)=g(x)

i.e. we have to find the value of x such that both the functions are equal i.e.

x^2-x-12=-1.8x-0.6\\\\i.e.\\\\x^2-x+1.8x-12+0.6=0\\\\i.e.\\\\x^2+0.8x-11.4=0\\\\i.e.\\\\10x^2+8x-114=0\\\\i.e.\\\\5x^2+4x-57=0

Now, on solving the equation using the quadratic formula i.e. the solution of the equation:

ax^2+bx+c=0

is given by:

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

Here we have:

a=5,\ b=4\ and\ c=-57

Hence, the solution is given by:

x=\dfrac{-4\pm \sqrt{4^2-4\times 5\times (-57)}}{2\times 5}\\\\i.e.\\\\x=\dfrac{-4\pm \sqrt{16+1140}}{10}\\\\i.e.\\\\x=-3.8\ and\ x=3

6 0
3 years ago
Find Sn for the given arithmetic series a1=-26 d=-9 n=24
ryzh [129]

Answer:

- 3108

Step-by-step explanation:

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a_{1} + (n - 1)d ]

Substitute the given values into the formula

S_{24} = \frac{24}{2} [ (2 × - 26) + (23 × - 9) ]

                          = 12 ( - 52 - 207 )

                         = 12 × - 259 = - 3108

5 0
3 years ago
What is the length of the line
love history [14]

Answer:

any idea about the length of the box

8 0
3 years ago
Read 2 more answers
Solve for x. Or find the value of x
Svetlanka [38]

Answer:

x=8

Step-by-step explanation:

2x+9=3x+1

-3 -3

-9 -9

-1x=-8

divide both side by -1.

x=8

8 0
3 years ago
How many solutions does 6 -3x = 12 - 6x have?
AysviL [449]

Answer:

Step-by-step explanation:

6-3x=12-6x

Only one solution of  x=2

5 0
3 years ago
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