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kifflom [539]
3 years ago
11

Factor y2 + 10z - 10y - yz

Mathematics
2 answers:
stira [4]3 years ago
6 0
Group and factor
group y's with y's and z's with z's
(y²-10y)+(10z-yz)
factor
y(y-10)+z(10-y)
force undistribute -1
-y(10-y)+z(10-y)
factor
(10-y)(-y+z)
(z-y)(10-y) or
(y-z)(y-10)
lara31 [8.8K]3 years ago
5 0
First rearrange the equation.

y2- yz - 10y+ 10z

At this point it's factoring by grouping.
Y(y-z) -10(y-z)
(Y-10)(y-z)
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Solve each equation 3x^2=80
Lapatulllka [165]

Answer:

x = \frac{4\sqrt{15}}{3}, x = \frac{-4\sqrt{15}}{3}

or

x = \frac{\pm4\sqrt{15}}{3}

Step-by-step explanation:

Hello!

Use the quadratic formula: x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

First, let's convert our equation to standard form of a Quadratic: ax² + bx + c = 0

3x² = 80

3x² - 80 = 0

Note, thats the value of b will be 0, as there is no "bx"

Now, solve:

  • x = \frac{-(0) \pm \sqrt{(0)^2 - 4(3)(-80)}}{2(3)}        Plug in values
  • x = \frac{\pm\sqrt{960}}{6}                              Simplify the radical (Discriminant)
  • x = \frac{\pm8\sqrt{15}}{6}                              Pull out perfect squares
  • x = \frac{4\sqrt{15}}{3}, x = \frac{-4\sqrt{15}}{3}              Reduce factors

 

The solutions are x = \frac{4\sqrt{15}}{3}, x = \frac{-4\sqrt{15}}{3}

5 0
2 years ago
I need help I don’t understand
kozerog [31]
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8 0
3 years ago
QUICK PLEASE. Calculate the final amount if $10 000 invested for 6 years at 4% compounded quarterly.
Nikolay [14]

The final amount if $10 000 invested for 6 years at 4% compounded quarterly is $12,697

<h3>Compound interest</h3>

The formula for calculating the compound interest is given as:

A = P(1+r/n)^nt

Given the following parameters

A = 10000(1+0.04/4)^4(6)

A = 10000(1+0.01)^24

A = 10000(1.01)^24

A = 1.2697(10,000)

A = $12,697

Hence the final amount if $10 000 invested for 6 years at 4% compounded quarterly is $12,697

Learn more on compound interest here: brainly.com/question/24924853

#SPJ1

7 0
2 years ago
Which represents the polynomial written in standard form?
otez555 [7]
The answer would ne answer choice b. I don't know what the last answer choice was though.
4 0
3 years ago
Read 2 more answers
Please help with this question ​
Basile [38]

Step-by-step explanation:

m< AOC = 90°

m< AOB +m<BOC = 90°

6x-12+3x +30 = 90°

9x +18° = 90°

9x = 90- 18° = 72°

x = 8°

m<AOB =6(8)-12 = 48-12 = 36°

4 0
3 years ago
Read 2 more answers
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