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Step-by-step explanation:
For 1. 7/8 is 90 percent so .90
For 2+. Add the bottom together, whatever you get divide top by bottom.
The others you just divide them by each other.
Answer:
3 weeks, $45
Step-by-step explanation:
So we can make an equation!
55+5x=100-10x
So solving for x,
X=3
x - 5y = -5, -5x - 25y = 25
First, you'll need to get the x variable by itself.
x - 5y = -5<u>
</u><u> +5 +5</u><u>
</u> x = 0
So x is plotted on the 0.
For the second part of the first equation, you'll be looking for what the y variable represents.
x - 5y = -5
<u>-x -x</u><u>
</u> <u>-5y</u> = <u>-5</u><u>
</u><u> 5 5</u><u>
</u> y = 1
So y is plotted on the 1 on the vertical line above the 0.
For the first part of the second equation, you'll do the same thing as in the first equation.
-5x - 25y = 25
<u> +25 +25</u><u>
</u> <u>-5x</u> = <u>50</u><u>
</u> 5 5
x = 10
So the x for this equation is plotted on 10 on the horizontal line.
For the second part of the second equation, you will do the same thing as in the first equation.
-5x - 25y = 25
<u>+5 +5</u><u>
</u> <u>-25y</u> = <u>30</u><u>
</u> 25 25
y = 1.2
So the y for the second half of the second question is plotted on 1.2 on the vertical line.
<h2>
Answer: B) Perpendicular</h2>
Perpendicular means the lines may or may not be of equal length and they will not be perfectly in line with each other.
Parallel means the lines may or may not be of equal length but will be perfectly in line with each other.
Intersecting means the lines may or may not be of equal length but will touch each other.
Answer:
Complex roots for polynomials equations will always come in conjugate pairs. Since 1-2i is a root, 1+2i will also be a root. (Just switch the sign of the imaginary part to its opposite.)
Step-by-step explanation:
So far we have 1-2i and 1+2i as roots. We need two more to make a 4th degree polynomial.
x=1 with multiplicity of 2 means that we count the root twice when we write down the polynomial: (x - 1)(x - 1) = (x - 1)2
Putting it all together, we can construct our polynomial of degree 4 as
y = f(x) = (x - 1)(x - 1)[x - (1-2i)][x - (1+2i)]
Multiply the factors (FOIL):
[x - (1-2i)][x - (1+2i)] =
x2 - (1+2i)x - (1-2i)x + (1-2i)(1+2i) =
x2 - x - 2ix - x + 2ix + (1 + 2i - 2i + 4) =
x2 - 2x + 5
(x - 1)(x - 1) = x2 - x - x + 1 = x2 - 2x + 1
Now multiply the two underlined expressions:
y = (x2 - 2x + 5)(x2 - 2x + 1)
= x4 - 2x3 + 5x2 - 2x3 + 4x2 - 10x + x2 - 2x + 5 by multiplying term by term
= x4 - 4x3 + 10x2 -12x + 5 by collecting like terms.
Answer: $18.51
Step-by-step explanation:
She paid $50
Her total purchases
$9.99 + $21.50 = 31.49
Change = (50 - 31.49) = 18.51
