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Aleks04 [339]
3 years ago
14

Solve with Quadratics

Mathematics
1 answer:
leonid [27]3 years ago
6 0

Answer:

x = 1 ± \sqrt{6}

Step-by-step explanation:

Given

2x² - 4x = 10 ( divide through by 2 )

x² - 2x = 5

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 5 + 1

(x - 1)² = 6 ( take the square root of both sides )

x - 1 = ± \sqrt{6} ( add 1 to both sides )

x = 1 ± \sqrt{6} ← exact solutions

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Choose the system of equations that matches the following graph:
egoroff_w [7]
B but I am not 100% sure
7 0
3 years ago
Read 2 more answers
Subtract. 5x^2-5x+1-(2x^2+9x-6)
Talja [164]
<h2>Hello!</h2>

The answer is:

3x^{2} -14x+7

<h2>Why?</h2>

To solve the problem we need to add/subtract like terms. We need to remember that like terms are the terms that share the same variable and the same exponent.

For example, we have:

x^{2} +2x+3x=x^{2} +(2x+3x)=x^{2}+5x

We have that we were able to add just the terms that were sharing the same variable and exponenr (x for this case).

So, we are given the expression:

5x^2-5x+1-(2x^2+9x-6)=5x^{2}-2x^{2}-5x-9x+1-(-6)\\\\(5x^{2}-2x^{2})+(-5x-9x)+(1-(-6))=3x^{2}-14x+7

Hence, the answer is:

3x^{2} -14x+7

Have a nice day!

4 0
3 years ago
10.
frosja888 [35]
$10.62? Im not sure if its correct
8 0
2 years ago
Jose earns $3680 per month, of which 22% is taken out of his paycheck for federal and state income taxes and other required dedu
ad-work [718]

Answer:

<h2> 30% </h2>

Step-by-step explanation:

Step one:  

monthly earnings= $3680  

22% of the earnings is  

=22/100*3680  

=0.22*3680  

=$809.6  

Jose's take home will be

3680-809.6  

=$2870.4

Step two:

Required

percentage spent on rent and clothing

but the total cost of rent and clothing is

=775+86.12

=$861.12

percentage of rent and cloth is

=(861.12/2870.4)*100

=0.3*100

=30%

<em> The percentage is 30% of the take home</em>

8 0
3 years ago
if one base of a trapizoid is 7.2 inches and the other base is 6.4 and the hieght is 3.6 what is it all around
maxonik [38]
If the base is 7.2 and the top is 6.4, you know that the extra bit on the bottom is (7.2 - 6.4 =) 0.8. This means on each side the base of the imaginary triangle is 0.4

Using Pythagoras' theorem, we know a² + b² = c²

0.4² + 3.6² = c²
c = √0.16 +12.96
c = √13.12
c = 3.62 -> this is the diagonal length of one of the sides of the shape.

So the distance all around is 7.2 + 6.4 + 3.62 + 3.62 = 20.84 inches
8 0
3 years ago
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