MATHEMATICS HIGH SCHOOL

7
Solve the equation x^2 - 8x + 15 = 0.

Answers

Answer 1
Answer:

Answer:

x=5   x=3

Step-by-step explanation:

x^2 - 8x + 15 = 0

Factor

What 2 numbers multiply to 15 and add to -8

-5*-3 = 15

-5-3 = -8

(x-5)(x-3) =0

Using the zero product property

x-5 =0    x-3 =0

x=5   x=3
Answer 2
Answer:

Answer:

x = -5

Evidence to support reasoning:

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Why is math so hard?

Answers

because its supposed to be to make us suffer
I wouldn't consider math hard it is just a challenge and sometimes more complex that you have to dig a little deeper to find the answer it won't always be right there. I have to be honest that I am not a fan of math but I learned that I need math in my life because it is everywhere. Remember that math is like building blocks it starts off in kindergarten with adding then subtracting, multiplying, dividing. It continues on with your life. You just need to work with it and soon it won't be as complicated.

(m+2)(m+3)=(m+2)(m-2) what is the answer please 

Answers

(m+2)(m+3)=(m+2)(m-2)\n\nm^2+3m+2m+6=m^2-4\n\nm^2-m^2+5m=-4-6\n\n5m=-10\ \ \ \ /:5\n\nm=-2
The first time you look at this, you would think that you can just cancel the
(m+2) off of each side. But then you're left with  (m+3) = (m-2), and there's
no solution for this.  So you have to go back and do it the hard way.

Expand each side of the equation. (Clear the parentheses.)

m² + 5m + 6 = m² - 4

Subtract m² from each side:

5m + 6 = -4

Subtract 6 from each side:

5m = -10

Divide each side by 5:

m = -2

In order to maximize the chances that experimental groups represent the population of interest, researchers should conduct ________ and ________. blind sampling; random group assignment blind group assignment; random sampling random sampling; random group assignment blind group assignment; blind sampling

Answers

In order to maximize the chances that experimental groups represent the population of interest, researchers should conduct  random sampling and random group assignment

Explanation:

The terms Random sampling and Random group assignment are greatly different in process of the sample selection.  The study related to the determination of how sample participants can be drawn from the population refers to the process of Random sampling. The sample participants are subjected to a treatment by the usage of a random procedure comprises the Random group assignment.

When a researcher wants validate externally then random selection can be used. When a researcher wants to determine the effects of treatment within that group which is known as determination of internal validity then he can opt for Random group assignment.

Answer:

In order to maximize the chances that experimental groups represent the population of interest, researchers should conduct random sampling/random group assignment.

Explanation:

Random selection is a representation of the sample of people for your research from a community. Random assignment is the assigning of the sample that describes various groups or operations in the study.

Reasons:

  • Random sampling enables us to get a sample representative of the community.
  • Random assignment enables us to make positive that the only distinction among the various treatment combinations is what needs to study.
  • Random assignment is crucial for sound empirical design. With adequately large representations, random assignment performs it unlikely that there are methodical variations among the groups.

Thus we can say in order to maximize the chances that experimental groups represent the population of interest, researchers should conduct random sampling/random group assignment.

To learn more about random sampling/random group assignment, refer:

Dilate the figure with the origin as the center of dilation.

(x,y) → (0.5x, 0.5y)​

Answers

Answer:

  see attached

Step-by-step explanation:

The dilation factor of 1/2 moves each point to half its previous distance from the origin.

△ABC is mapped to △A′B′C′ using the rule (x, y)→(−x, −y) followed by (x, y)→(x, −y) .Which statement correctly describes the relationship between △ABC and △A′B′C′ ?


A. △ABC is congruent to △A′B′C′ because the rules represent a reflection followed by a rotation, which is a sequence of rigid motions.

B. △ABC is congruent to △A′B′C′ because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions.

C. △ABC is not congruent to △A′B′C′ because the rules do not represent a sequence of rigid motions.

D. △ABC is congruent to △A′B′C′ because the rules represent a reflection followed by a reflection, which is a sequence of rigid motions.

Answers

Transformation involves changing the position of a shape.

The correct statement is: (b) △ABC is congruent to △A′B′C′ because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions.

The transformation rule is given as:

\mathbf{(x,y) \to (-x,-y)}, then:

\mathbf{(x,y) \to (x,-y)}

  • The first transformation \mathbf{(x,y) \to (-x,-y)} is 180 degrees rotation across the origin
  • The second transformation \mathbf{(x,y) \to (x,-y)} is a reflection across the x-axis

Rotation and reflection are both rigid transformation.

Hence, the correct option is (b):

Read more about rotation and reflection at:

brainly.com/question/15577335

Answer:

B. △ABC is congruent to △A′B′C′ because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions.

Step-by-step explanation:

I just took the test, good luck! Have a wonderful day! :)

Suppose that y varies inversely with x. Write an equation for the inverse variation. Y =4 when x =7

Answers

If y varies inversely as x, then we write it as:
y = k/x

where k is some constant.

If we multiply both sides of this equation by x we get an equation for k:
k = x*y

We are given that y=4 when x=7, therefore:
k = 7*4 = 28

Put this back into our original equation to get:
y = 28/x
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