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andre [41]
3 years ago
9

What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.

Mathematics
2 answers:
bearhunter [10]3 years ago
4 0

Answer: 3. - 3/4

Step-by-step explanation:

Mila [183]3 years ago
4 0

Answer:

C. -3/4

Step-by-step explanation:

-5/4 + 1/2

-5/4 + 2/4

-3/4

Hope this helps!

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The roots of the quadratic equation $z^2 + az + b = 0$ are $2 - 3i$ and $2 + 3i$. What is $a+b$?
AlladinOne [14]
We know for our problem that the zeroes of our quadratic equation are (2-3i) and (2+3i), which means that the solutions for our equation are x=2-3i and x=2+3i. We are going to use those solutions to express our quadratic equation in the form a x^{2} +bx+c; to do that we will use the <span>zero factor property in reverse:
</span>x=2-3i
x-2=-3i
x-2+3i=0
<span>
</span>x=2+3i
x-2=3i
x-2-3i=0
<span>
Now, we can multiply the left sides of our equations:
</span>(x-2+3i)(x-2-3i)= x^{2} -2x-3ix-2x+4+6i+3ix-6i-3^2i^2
<span>= </span>x^{2}-4x+4-9i^{2}
= x^{2} -4x+4+9
= x^{2} -4x+13
Now that we have our quadratic in the form a x^{2} +bx+c, we can infer that a=1 and b=-4; therefore, we can conclude that a+b=1+(-4)=1-4=-3.
6 0
4 years ago
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen
jolli1 [7]
First, you need to isolate the x in the first equation. 
-x + 5y = 1
Subtract 5y from both sides, leaving you with the following equation: 
-x = 1-5y
Because you are trying to solve for positive x and not negative x, you need to make x positive. Therefore you divide both sides by -1. In Algebra, when 1 is the coefficient of the variable, it is not shown, but it is still there. The new equation will be the following: x = 5y-1
Now you just need to substitute the x within the second equation for the x equation we just solved for. 

Therefore, the right answer will be 2(5y-1)+4y= -4. Now, all you have to do is choose the answer that states exactly that, which is the first choice.  

3 0
3 years ago
Which is the most effective brand name shoe. is it Experimental vs. Observational
balandron [24]

Answer:

nike its observational

Step-by-step explanation:

6 0
2 years ago
Which number is an integer?<br> -34 -0.4 0.4 3.4 PLS HELP I'M TIMED EDGE 2020
Stella [2.4K]

Answer:

Step-by-step explanation:         The four numbers:  - 34, -0.4, 0.4, 3.4

so if you look at it it  The answer is -34

7 0
3 years ago
Read 2 more answers
A bag contains 9 red marbles, 9 white marbles, and 6 blue marbles. You draw 3 marbles out at random, without replacement. What i
Dvinal [7]

Answer:

21/506

Step-by-step explanation:

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3 0
3 years ago
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