MATHEMATICS HIGH SCHOOL

7. Which method would be the most efficient to solve the system? y = 1/2x, 2x + 3y = 28A) graphing
B) substitution
C) elimination
D) distributive

Answers

Answer 1
Answer: y = ¹/₂x
2x + 3y = 28

     2x + 3y = 28
2x + 3(¹/₂x) = 28
   2x + 1¹/₂x = 28
           3¹/₂x = 28
            3¹/₂    3¹/₂
                 x = 8
y = ¹/₂x
y = ¹/₂(8)
y = 4
(x, y) = (8, 4)
The method would be a substitution method (the answer is B).

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State True or false: As long as its argument is restricted to [0,2pi] the polar form of a complex number is unique.

Answers

In this question, the answer will be false because when the problem will berestricted to [0, 2\pi) only, then there will be 2 polar points.The first r will be a positive, and the other r, of course, will be a negative.If the question has added a range where r is greater than zero (r > 0),this will be true becaue it only included the positive r.

Answer:

it's Truen

Step-by-step explanation:

a p l e x

State True or false: As long as its argument is restricted to [0,2pi] the polar form of a complex number is unique.

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Which equation describes the proportion: The number of chickens (c) is four times as many the number of horses (h) on the farm.?A)
c = h4
B)
h = 4c
C)
c = 4h
D)
c = 4 + h

I really need help on this.

Answers

The answer is C) c = 4h. However, since it is multiplication it can also be c = h4, choice A.

There are four properties of multiplication.
1) commutative property
2) associative property
3) multiplicative identity property
4) distributive property

The above problem shows a commutative property where when two numbers are multiplied together, the product is the same regardless of the order of the multiplicands.

Choice C. c = 4h            Choice A. c = h4

Both 4 and h are multiplicands and whichever order they are, they always produce the same product.

For example. h is equal to 10

Choice C. c = 4 * 10 = 40    ; Choice A. c = 10 * 4 = 40.

Same product, different order of multiplicands.

Answer:

c = 4h

Step-by-step explanation:

c = 4h describes a situation where the number of chickens (c) is four times as large as the number of horses.

What are the first ten terms of the sequence?
18, 10 2

Answers

Answer:18, 10, 2, -6, -14,-22, -30, -38, -46, -54

Step-by-step explanation: You would have to multiply the numbers in the sequence by the nth term.

Factor the expression using GCF
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Answers

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3x^2+13x+10=0 please help

Answers

I will use the quadratic equation to solve this:
x= -b +(or minus, both) √b² + 4ac
     --------------------------------------------
                          2a
So, your numbers would be:   a = 3
                                           b = 13 
                                           c = 10
Then, solve: x = -13 +(or minus, both) √169 + 120
                        --------------------------------------------------
                                               6
                       = -13 +(or minus, both) 17
                         ------------------------------------
                                        6
So, first do the plus: -13 + 17
                              --------------
                                    6
                             = 2/3
Then do the minus:    -13-17
                                ------------
                                    6
                              = 5

Your answer is: 2/3 and 5
( These problems always have two answers)
The answer and explanation is in the attachment.
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