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velikii [3]
2 years ago
8

⚠️⚠️PLASE HELP ME SOLVE AS SOON AS POSSIBLE⚠️⚠️​

Mathematics
1 answer:
rjkz [21]2 years ago
8 0

Answer:

12 in.

Step-by-step explanation:

2x + x + 3/2x + 1/2x = 40 in. = 5x

x = 8 in.

3(8)/2 = 12

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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
Which shows a difference of squares?
d1i1m1o1n [39]

Answer:

The equations shows a difference of squares are:

<u>10y²- 4x²</u>   $   <u>6y²- x²</u>

Step-by-step explanation:

the difference of two squares is a squared number subtracted from another squared number, it has the general from Ax² - By²

We will check the options to find which shows a difference of squares.

1) 10y²- 4x²

The expression is similar to the general form, so the equation represents a difference of squares.

It can be factored as (√10 y + 2x )( √10 y - 2x)

2) 6y²- x²

The expression is similar to the general form, so the equation represents a difference of squares.

It can be factored as (√6y + x )( √6y - x)

3) 8x²−40x+25

The expression is not similar to the general form, so the equation does not represent a difference of squares.

4) 64x²-48x+9

The expression is not similar to the general form, so the equation does not represent a difference of squares.

6 0
3 years ago
HELPPPPPPP PLSSSSSS I NEED THIS QUICK
Charra [1.4K]

Answer:

75%

Step-by-step explanation:

try this answer

5 0
2 years ago
Read 2 more answers
Determine the equation of the line that passes through (2,4) with a slope of -2/3
DedPeter [7]

Answer:

y = -2/3x + 16/3

Step-by-step explanation:

y = -2/3x + b

4 = -2/3(2) + b

4 = -4/3 + b

16/3 = b

4 0
3 years ago
Needs to be over P_4(C), I know how to do over P_4(R).
nasty-shy [4]

Answer:

defendant who, before being served with process, timely returns a waiver need not serve an answer to the complaint until 60 days after the request was sent—or ...

Step-by-step explanation:

7 0
2 years ago
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