MATHEMATICS MIDDLE SCHOOL

State the zeros of the following. (x- 2) (x - 3) =0

Answers

Answer 1

Answer:

Answer:

x=2,3

Step-by-step explanation:

(x- 2) (x - 3) =0

Using the zero product property

x-2 =0 x-3 =0

x-2+2=0+2 x-3+3 =0+3

x=2 x+3

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What are the solutions of this system of equationThe first three steps in determining the solution set of the
system of equations algebraically are shown in the table.
y = -x2 +2x - 9
y = -6x + 6
(5,-24) and (3, -12)
(5,36) and (3, 24)
(-5, -24) and (-3, 12)
(-5, 36) and (-3, 24)
Step
Equation
-x² + 2x -9 = -6x + 6
0 = x2 – 8x+15
0 = (x - 5)(x-3)
2
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Answers

Answer:

(3,-12) and (5,-24)

Step-by-step explanation:

Given the system of two equations

$\left\{\begin{array}{l}y=-x^2+2x-9\n y=-6x+6\end{array}\right.$

Equate right sides of these two equations:

$-x^2+2x-9=-6x+6$

Rewrite this equation:

$-x^2+2x-9+6x-6=0\n \n-x^2+8x-15=0\n \nx^2-8x+15=0\n \nx^2-5x-3x+15=0\n \nx(x-5)-3(x-5)=0\n \n(x-3)(x-5)=0\n \nx_1=3\ \text{or}\ x_2=5$

If x=3, then

$y=-6\cdot 3+6=-18+6=-12$

If x=5, then

$y=-6\cdot 5+6=-30+6=-24$

You get two solutions (3,-12) and (5,-24)

The solution set of the system of equation is (5, -24) and (3, -12)

System of equations

The given systen of equation is one linear and one quadratic. Given the syatem of equations

$y = -x^2 +2x - 9\ny = -6x + 6$

Equating bothequations will give

$-x^2 + 2x - 9 = -6x+ 6$

Equate to zero

$-x^2 + 2x - 9 + 6x - 6 =0\nx^2 - 2x +9 - 6x + 6 = 0\nx^2 - 8x + 15 = 0$

Factorize

$x^2 - 3x - 5x + 15 = 0\nx(x-3)-5(x-3) = 0\nx-5 = 0 \ and \ x - 3 = 0\nx = 5 \ and \ 3$

Recall that ;

y = -6x + 6

If x = 5

y = -30 + 6

y = -24

If x = 3

y =-6(3) + 6

y = -12

Hence the solution set of the system of equation is (5, -24) and (3, -12)

Learn more on system of equation here: brainly.com/question/25976025

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Solve x-7.6+9.4= -8.4

Answers

x - 7.6 + 9.4 = -8.4

First, simplify to x + 1.8
Your problem should look like: $x + 1.8 = -8.4$
Second, subtract 1.8 from both sides.
Your problem should look like: $x = -8.4 - 1.8$
Third, simplify.
Your problem should look like: $x = -10.2$

Answer: x = -10.2

The line plot shows the number of weeks that songs have been on the top 20 Country Songs list. Would the mean, median, mode, or range best represent the data? Explain.

Answers

The mode would be the best way to represent the data because it shows how many times it has shown up on the list.

I agree with choosing the mode

5. Jazmin goes to her locker every 15 minutes during gym. Cathy goes to her locker every 20 minutes. If they both just went to their locker in how many minutes will they both return to their lockers again?