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hodyreva [135]
3 years ago
12

Solve the equation for x, where x is a real number (5 points): 2x^2 + 8x + 3 = 0

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
6 0
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                                           x = [ -b ± √(b^2 - 4ac) ] / (2a)
                                           x = [ -8 ± √((8)^2 - 4(2)(3)) ] / ( 2(2) )
                                           x = [-8 ± √(64 - (24) ) ] / ( 4 )
                                           x = [-8 ± √(40) ] / ( 4)
                                           x = [-8 ± 2*sqrt(10) ] / ( 4 )
                                           x = -2 ± sqrt(10)/2
The answers are -2 + sqrt(10)/2 and -2 - sqrt(10)/2.
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Answer:

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\angle 3 = 45\textdegree

Step-by-step explanation:

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4 0
3 years ago
Jimmy set his score for his math test. After the math teacher returnee his paper to him, he realized that if he increased his ta
mixer [17]
When ever you have percentages, it should be helpful to bear in mind you can express them as multipliers. In this case, it will be helpful.
So, if we let:
a = test score
b = target score
then, using the information given:
a = 1.1b + 1
a = 1.15b - 3
and we get simultaneous equations.
'1.1' and '1.15' are the multipliers that I got using the percentages. Multiplying a value by 1.1 is the equivalent of increasing the value by 10%. If you multiplied it by 0.1 (which is the same as dividing by 10), you would get just 10% of the value.
Back to the simultaneous equations, we can just solve them now:
There are a number of ways to do this but I will use my preferred method:
Rearrange to express in terms of b:
a = 1.1b + 1
then b = (a - 1)/1.1
a = 1.15b - 3
then b = (a + 3)/1.15
Since they are both equal to b, they are of the same value so we can set them equal to each other and solve for a:
(a - 1)/1.1 = (a + 3)/1.15
1.15 * (a - 1) = 1.1 * (a + 3)
1.15a - 1.15 = 1.1a + 3.3
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8 0
3 years ago
What is the area of the parallelogram?<br> 15 cm<br> 21 cm<br> 20 cm
padilas [110]

Answer:

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Step-by-step explanation:

Mainly because 20 ×15= 300 but the triangles on the side, I can't figure it out. I eliminated 82 and 420, 420 mainly because I got it wrong and 82 doesn't make sense.

8 0
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Answer:

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Step-by-step explanation:

5 0
3 years ago
Write the prime factorization of 36. Use exponents when appropriate and order the factors from least to greatest (for example, 2
sladkih [1.3K]

Answer:

                                 36

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Step-by-step explanation:

6 0
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