MATHEMATICS HIGH SCHOOL

1. Y = x + 6
Y = 2x
A) (6, 12)
B) (-12, -6)
C) (-6,-12)
D) (2,4)

Answers

Answer 1
Answer: the answer is a, if x = 6 and y = 12, you get 6+6=12 and 2*6=12
 Hope this helps!

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How many times greater is the value of 3 in 300 than the value of the 3 in 30
Eric has seventeen candy bars, he gives Debra five. How many candy bars does Eric have now?
A tour company for large groups charges a one time fee of $200 plus an additional $25 per person who goes on the tour. They must make at least $1,650 to make the tour profitable. Let n be the number of people going on the tour. Write and solve an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable.
5x + 4x - 4x plz help me

What is the solution?. 1/2x2 – x + 5 = 0

Answers

1/2 x^2 - x + 5 = 0
Multiply through by 2 to get:
x^2 - 2x + 10 = 0
x= (-b\pm√(b^2-4ac))/(2a); where a = 1, b = -2 and c = 10
x=(-(-2)\pm√((-2)^2-(4*1*10)))/(2*1)\n=(2\pm√(4-40))/(2)\n=(2\pm√(-36))/(2)\n=(2\pm6i)/(2)\n=1\pm3i
Therefore, x = 1 + 3i or x = 1 - 3i

True or False: The value of r represents the reference angle when plotting a point in polar coordinates.

Answers

The answer to the statement above would be false. The value of r does not represent the reference angle when plotting a point in polar coordinates. Instead, it represents the polar distance instead of the angle. The reference angle is represented by t.

Answer:

False

Step-by-step explanation:

In cartesian coordinates, we represents a point as (x,y).

Whereas, in polar coordinates, we represent a point as(r,\theta)

Here,

r=√(x^2+y^2)\n\n\theta=\tan^(-1)((y)/(x))

The term r is the radial distance from origin and the angle Ф is the polar angle.

Therefore, the term r doesn't represent the reference angle when plotting a point in polar coordinates.

Hence, the given statement is false.

The sum of five consecutive integers is 75. What is the third number?

Answers

Hi,

Let us assume those 5 integers are:

a-2, a-1, a, a+1, and a+2.

I have intentionally chosen the numbers this way to have a simple and useful sum of them, see below.

Their sum is: a-2 + a-1 + a + a+1 + a+2 = 5a = 75, therefore a = 15, which is exactly the 3rd number.

Green eyes. 

Answer:

a=15

Step-by-step explanation:

What is the measure of angle ABC?

Angle ABC=___ degrees

Answers

Answer:

60°

Step-by-step explanation:

measure of angle ACB = 180-135= 45

then the required angle = 180-(45+75) = 60°

I hope that was helpful
Angle ABC = 60 degrees!

Thu wants to play “Guess My Number,"she states. “When I triple my number and add five ,I get twenty-six.what is my number?" What is her number? Show how you know

Answers

3x + 5=26
subtract 5 from both sides
3x=21
divide by 3
x=7
Her number is 7. You simply subtract 5 from 26 and get 21 then you divide it by 3 and get 7. Basically you are reversing the steps she stated.

Someone help please?Two students are using estimation to determine reasonable solutions to the expression 89.1 x 9.3 Katie uses the 99 x 10. Amaya uses the expression 89 x 9.

A.Which is the best comparison of the estimates and the actual product?

B.Both estimates will be less than the original product.

C. Both estimates will be greater than the original product.
Katie’s estimate will be less than the actual product, and Amaya’s estimate will be greater than the actual product.

D. Katie’s estimate will be greater than the actual product, and Amaya’s estimate will be less than the actual product.

Answers

Answer:

Amaya's estimate is the closer one.

D. Katie’s estimate will be greater than the actual product, and Amaya’s estimate will be less than the actual product

Step-by-step explanation:

The original expression is 89.1 x 9.3. Katie changed the 89.1 to 99 (difference of 9.9) and the 9.3 to 10 (difference of 0.7). On the other hand, Amaya changed the 89.1 to 89 (0.1 difference) and the 9.3 to 9 (0.3 difference).

Therefore the best comparison would be Amaya's estimate since her numbers are closer to the original expression.

Katie's estimate will be greater than the actual product because she rounded up the numbers and Amaya's estimate will be less than the actual product because she rounded down the numbers.

Choice D), since Katie went way over the decimals, and Amaya went slightly under to the closest number
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