MATHEMATICS HIGH SCHOOL

Use the drawing tool(s) to form the correct answer on the provided graph.Consider the function below.

h(x) = x^{2] - 2x - 8

Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry of the function.
Use the drawing tool(s) to form the correct answer on - 1

Answers

Answer 1
Answer: Hello,
Please, see the attached files.
Thanks.

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The sum of two polynomials is 8d5 – 3c3d2 + 5c2d3 – 4cd4 + 9. If one addend is 2d5 – c3d2 + 8cd4 + 1, what is the other addend? The choices are: A. 6d5 – 2c3d2 + 5c2d3 – 12cd4 + 8 B. 6d5 – 4c3d2 + 3c2d3 – 4cd4 + 8 C. 6d5 – 4c3d2 + 5c2d3 – 12cd4 + 8 D. 6d5 – 2c3d2 – 3c2d3 – 4cd4 + 8
The radius of a sphere is 6 centimeters. Which is the volume of the sphere?
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The length of a rectangle is 5 cm longer than twice the length of the width. If the are of the rectangle is 403 square centimeters, what is the width?

Answers

You could set up a system of equations and solve for that, and you 2 equations that you would use would be:
x=2y+5
xy=403
(x = length)
(y = width)
But for this problem, we can notice that:
we need 2 numbers that will multiply together and equal EXACTLY 403, and then they have to be in a somewhat similar range, because the larger number is only twice the smaller, plus a few. So, all we need to do is find 2 numbers that multiply to 403 that are within a few numbers. It turns out that the only two whole numbers that multiply to 403 are
31
and
13
Test them in either equation that is listed at the top, and they work. The question is asking for the width, and because the width doubled plus 5 equals the length, that means that the width will be the smaller number. Therefore, the width is 13 cm.

Six less than two thirds of a number is 18. solve.
show an equation

Answers

18=(2/3)x-6
+6 +6
24=(2/3)x
÷(2/3) ÷(2/3)
36=x
check it now
18=((2/3)(36))-6
18=(24)-6
18=18
that is a true statement so x must be equal to 36
x=36
6-2/3=18 That is my answer

Select all that apply.Which of the following statements describes circumscribing?

One figure is drawn around the other.
One figure must be a circle.
The figure on the inside circumscribes the figure on the outside.
Circumscribing can be done as a construction.
The figures intersect.

Answers

Answer: Circumscribing can be done as a construction.

One figure must be a circle.

Circumscribing can be done as a construction.

Step-by-step explanation:

If we circumscribe a triangle, square, hexagon etc we draw a circle that surrounds it and touches each of its corners. So one figure must be circle.

Therefore, circumscribing is one figure is drawn around the other.

Circumscribing can be done as a construction is also true, by using compass and straightedge we can construct it.

There are different steps for each and every geometric figure circumscribed.

I think it is the third one

Rylan is testing 2 different types of nail polish on her fingernails to determine which one lasts longer. she purchases Brand A and Brand B from the drug store. She then paints her nails with Brand A and her sister's nails with Brandb. She compares the nails polish at the end of the week and determines that Brand B last longer because there fewer chips than Brand
a. Why is her conclusion not valid?

Answers

If you want to compare the quality of something, you should make sure that all the conditions were similar. This means that if you want to compare the quality of nail polish, you should expose both kinds of nail polish to the same tests. However, here we don't know whether Rylan and her sister did the same things this week: for example if one of them washed more dishes, her nail polish would have a "harder" test - the test did not make sure that both products experienced the same conditions!

Answer:

She painted her sister's nails with Brand B, not her own nails.

Step-by-step explanation:

All parts to an experiment must be the same except one thing. She is testing different nail polishes so that's what needs to be different. By painting her hand with one nail polish and her sister's with the other, she is changing a second variable in the experiment making it invalid.

Bruce has a bottle that contains 60% of lemon juice and the rest water. The bottle has 1 liter of water.Part A: Write an equation in one variable that can be used to find the total number of liters of lemon juice and water in the bottle. Define the variable used in the equation. (5 points)

Answers

Given:
lemon juice = 60% in the bottle
water = 1 liter.

Since lemon juice is 60% and the rest is water. Water is 40% of the bottle.

1 liter of water is equivalent to 40% of the bottle.

1/40% = 2.50 liters amount of total liquid in the water.

2.50 x 60% = 1.5 liters of lemon juice.

0.6x + 0.4x = 2.5

URGENT PLEASE HELP
are all fractions with a denominator of 9 recurring decimals investigate

Answers

Yes 
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2/9 0.22222
3/9 0.33333
4/9 0.44444
5/9 0.55555
6/9 0.66666
7/9 0.77777
8/9 0.88888
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