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3 years ago

Simplify (2x 4)(x-2)

Mathematics

1 answer:

sesenic [268]3 years ago

8 0

3x*6
you will add 2x plus one x then 4 - -2

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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:

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

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3 years ago

PLEASE HELP what does it tTAKE TO GET A GOOD ANSWER WHERE THEM EXPERTS? ONLY 1 QUESTION PLEASE!!!!

Schach [20]

500 = 10x + 2 * 15 * 5 + 15x
500 = 25x + 150
500 - 150 = 25x
350 = 25x
x = 14
Triangular ends: 14 * 10 = 140
Base rectangle: 14 * 15 = 210
side rectangles: 5 * 15 * 2 = 150
140 + 210 + 150 =

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4 years ago

For the U.S. population in 2012 the probability that an adult between the ages of 18 and 44 does nothave health insurance covera

Temka [501]

Answer:

Step-by-step explanation:

can't

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3 years ago

At last week's track meet, Stacy ran 9/12 of a km, Jules ran 4/5 of a km, and Raul ran 3/4 of a mile. Which two students ran the

koban [17]

Answer: No two students ran same distance

Step-by-step explanation:

Given

Stacy ran $\frac{9}{12}$ of a km i.e.

$\Rightarrow 1\times \dfrac{9}{12}=\dfrac{3}{4}=0.75\ km$

Jules ran $\frac{4}{5}$ of a km i.e.

$\Rightarrow 1\times \dfrac{4}{5}=0.8\ km$

Raul ran $\frac{3}{4}$ of mile i.e.

$\Rightarrow 1\times \dfrac{3}{4}=0.75\ miles\\\\\text{1 mile=1.6 km}\\\\\Rightarrow 0.75\ miles=1.2\ km$

So, no two students ran the same distance.

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3 years ago

A cathedral has a large, circular stained-glass window. A visitor measures the window and calculates that it has a circumference

PtichkaEL [24]

The diameter is 6 yards

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3 years ago

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