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taurus [48]
3 years ago
15

Given a long algebraic equation, what are some strategies that you can use to make simplifying and evaluating the equation more

efficient and accurate?
Mathematics
1 answer:
krok68 [10]3 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

Given a long algebraic equation, the like terms can be collected. When you collect like terms, you reduce the length of the algebraic equation.

After that, you can factorize the equation where possible. When you factorize the equation. It becomes quite easier to solve it efficiently.

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In the figure, the measure of Angle 8 = 96 and the measure of Angle 12 =42. Find the measure of Angle 9.
r-ruslan [8.4K]
ANSWER:   84; Consecutive Interior Angles Theorem

6 0
3 years ago
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
Really need need help on this please
Alexxx [7]

Answer:

\frac{7}{2}

Step-by-step explanation:

\frac{12-3y}{2} + y (\frac{2y-4}{y})

we substitute the value of "y" in the equation:

\frac{12-3(3)}{2} + 3 (\frac{2(3)-4}{3})\\\\\frac{12-9}{2} + 3 (\frac{6-4}{3})\\\\\frac{3}{2} + 3 (\frac{2}{3})\\\\\frac{3}{2} + 2\\\\\frac{7}{2}

3 0
3 years ago
Could anyone show me how to think in terms of percentages and proportionality in order to solve the following math problem:
Sergeeva-Olga [200]
You have to multiply the total number of women by .15 and you will get your answer. 1,350,000 is the answer
7 0
3 years ago
Read 2 more answers
HELP PLEASEEE. I DONT UNDERSTAND
Shtirlitz [24]

Answer:

D

Step-by-step explanation:

So we have the equation:

x^2-6x+58=0

And we want to solve for x.

We can solve it by completing the square.

First, subtract 58 from both sides:

x^2-6x=-58

Divide the b term by 2 and square it:

(-6)/2=-3\\(-3)^2=9

So, add 9 to both sides:

(x^2-6x+9)=-58+9

On the left, the perfect square trinomial pattern. Add on the right. So:

(x-3)^2=-49

Take the square root of both sides:

x-3=\pm \sqrt{-49}

The square root of -49 is 7i:

x-3=\pm 7i

Add 3 to both sides:

x=3\pm 7i

So, our answer is D.

And we're done!

4 0
3 years ago
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