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kap26 [50]
4 years ago
9

SOLVE BY ELIMINATION - SHOW YOUR WORK! I need to know which method can be used for this specific problem. Thanks!

Mathematics
1 answer:
Tju [1.3M]4 years ago
6 0

elimination, namely we'll eliminate a variable.

let's notice say 4y and 3y in the y-column, now, if we multiply 3*4y = 12y, and if we multiply 4*-3y = -12y, and those 12y-12y cancel each other out, so we'll do that.


\bf \begin{cases} 5x+4y=12\\ 3x-3y=18 \end{cases} ~\hfill \begin{array}{lllllll} 5x+4y=12&&\times 3\implies &15x+12y=36\\ 3x-3y=18&&\times 4\implies &12x-12y=72\\ \cline{4-4}\\ &&&27x+0y=108 \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 27x=108\implies x=\cfrac{108}{27}\implies \blacktriangleright x=4 \blacktriangleleft


\bf \stackrel{\textit{substituting the \boxed{x} in the 2nd equation}}{3(4)-3y=18\implies 12-3y=18}\implies -3y=6 \\\\\\ y=\cfrac{6}{-3}\implies \blacktriangleright y=-2 \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (4,-2)~\hfill

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What is the domain of f(x) = 3x – 2?
Elis [28]

Answer: las option.

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m is the slope of the line and b is the y-intercept.

Then function given in the problem has the form:

f(x)=3x-2

Where:

m=3

b=-2

Therefore, it is a linear function.

By definition, the domain of the  linear functions that are not bounded, is all the Real numbers.

Therefore, the answer is:

<em> {x | x is a real number}</em>

3 0
3 years ago
Read 2 more answers
Angelo's mother put $50 on his lunch card. He spends the same amount
amid [387]

Answer:

Given that Angelo spends the same amount every day from the amount in

the lunch card, the function of the amount remaining is a linear function.

The constant rate of change of the function is; -5.25

The two ordered pairs used to find the constant rate of change are; (1, 44.75) and (2, 39.5)

Reasons:

The amount Angelo's mother put on the lunch card = $50

A possible table of values to the question is presented as follows;

Required:

The constant rate of the function that gives the amount remaining from the

amount Angelo's mother put on his lunch card.

Solution:

The two ordered pairs that can be used to find the slope or constant rate of change are;

(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)

With the above two ordered pairs, we have the constant rate of change of the function given as follows;

The constant rate of change for the function that gives the amount remaining in the lunch card is; -5.25

3 0
3 years ago
Its r9ght here just look at ut​
Cloud [144]

Answer:

its 400 . 1200 divided by 3 in 400.

Step-by-step explanation:

3 0
3 years ago
In a unit circle, ø = 2pi radians What is the terminal point?
BlackZzzverrR [31]

Answer:

The terminal point is (1, 0) ⇒ D

Step-by-step explanation:

In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis.

  • The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0
  • The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1
  • The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0
  • The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1

In a unit circle

∵ Ф = 2π radians

∵ 2π radians = 360°

→ By using the 1st rule above

∴ The terminal point is (1, 0)

5 0
3 years ago
Help Asap! 20 Points!
Elden [556K]
1. 45+35= 80 180- 80= 100 X=100

2. 180-118= 62 X= 62

I'm not for certain about Steps 3 and 4
7 0
4 years ago
Read 2 more answers
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