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liraira [26]
3 years ago
13

Please help, would be greatly appreciated

Mathematics
1 answer:
velikii [3]3 years ago
6 0
1. We first simplify both sides of the equation, factoring the parentheses and adding like numbers:
5x - (x + 3) =  \frac{1}{3} (9x + 18) - 5 \\ 5x - x - 3 = 3x + 6 - 5 \\ 4x - 3 = 3x + 1
Then, we move all the Xs to one side and all the numbers to the other by subtracting 3x from both sides and adding 3 to both sides:
4x - 3 = 3x + 1 \\ 4x - 3x = 1 + 3 \\ x  = 4
We get x = 4.


2. First, we simplify:5(3x + 9) - 2x = 15x - 2(x - 5) \\ 15x + 45 - 2x = 15x - 2x + 10 \\ 13x + 45 = 13x + 10
Then, we try to move the Xs to one side, but we get 13x - 13x, which equals 0x. This problem is impossible, as it states 45 = 10.
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Answer:

y = 4x + 14

Step-by-step explanation:

slope-intercept form: y = mx + b

Slope formula: \frac{y2-y1}{x2-x1}

To write the equation in y = mx + b form, we need to find the slope(m) and the y-intercept(b) of the equation.

To find the slope, take two points from the table(in this example I'll use points (0, 14) and (1, 18)) and input them into the slope formula:

\frac{18-14}{1-0}

Simplify:

18 - 14 = 4

1 - 0 = 1

\frac{4}{1}=4

The slope is 4.

To find the y-intercept, input the values of the slope and one point(in this example I'll use point (1, 18)) into the equation format and solve for b:

y = mx + b

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The y-intercept is 14.

Now that we know the slope and the y-intercept, we can write the equation:

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3 0
2 years ago
Between each whole number does √199
Gala2k [10]

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because

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7 0
3 years ago
Which expression shows the sum of the polynomials with like terms grouped together?
Leto [7]

Answer:

C. (-4x^2)+2xy^2+[10x^2y+(-4x^2y)

Step-by-step explanation:

A. [9-4x2) + (-4x2y) + 10x2y] + 2xy2  : in this polynomial the first term is not a like term, then this is incorrect.

B. 10x2y + 2xy2 + [(-4x2) + (-4x2y)]  : in this polynomial, the terms that are grouped, are not like terms, then is incorrect.

C. (-4x2) + 2xy2 + [10x2y + (-4x2y)]  ; This polynomial is the right answer because the like terms are grouped.

D. [10x2y + 2xy2 + (-4x2y)] + (-4x2): This polynomial is incorrect because one of the terms that are grouped is not a like term.

4 0
2 years ago
Read 2 more answers
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