<span>4x(x) + 3(2x) and 4x2 + 6x => 4x^2 + 6x and 4x^2 + 6x
5(3x) - 4(3x) and 3x => 15x-12x=3x and 3x
4(3a) - 2(4a) and 4a2 => 12a-8a=4a and 4a^2
3(3a) + a(3a) and 3a2 + 9a => 9a+3a^2 and 9a + 3a^2
Can you spot the one which is different?
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Answer:
box contains - 3
Step-by-step explanation:
a(x - 3) + 2x = -(x - 5) +4 Remove the brackets on both sides
ax - 3a + 2x = -x + 5 + 4 Subtract 2x from both sides.
ax - 3a + 2x - 2x = -x - 2x + 9
ax - 3a = - 3x + 9
ax - 3(-3) = - 3x + 9
ax + 9 = - 3x + 9
Now if you make a = -3 then both sides with have - 3 for the x coefficient.
Any number could be put in for x and it will make the answer on both sides equal. Notice you could subtract 9 from both sides and it will not change the condition of the problem.
Answer:
Step-by-step explanation:
See the figure below.
This is how you graph directly from the equation in the slope-intercept form (y = mx + b) without having to create a table of x and y values.
The equation is
y = -2/3 x + 1
Compare it with
y = mx + b
b = 1
The y-intercept is 1, so mark 1 on the y-axis. (You already did.)
I placed a black dot there.
The slope is m.
m = -2/3
slope = m = rise/run
A slope of -2/3 can be though of as -2 rise and 3 run. That means start from the y-intercept, and go -2 in y (a rise of 2 down) and 3 in x (a run 3 right). Point graphed in red.
Mathematically, -2/3 is the same as 2/(-3), so starting again from the y-intercept, this slope can also be though of as rise of 2 in y (a rise of 2 up) and a run of -3 in x (a run of 3 left). Point graphed in green.
The line is graphed in blue.
Answer:
c = -24
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
<u />
Step-by-step explanation:
<u>Step 1: Define</u>
6c - 1 - 4c = -49
<u>Step 2: Solve for </u><em><u>c</u></em>
- Combine like terms: 2c - 1 = -49
- Isolate <em>c</em> term: 2c = -48
- Isolate <em>c</em>: c = -24
Answer:
Substitute any x value for the expression and evaluate!
(0, -3), (1, 4), (2, 11), (3, 18)
HAPPY NEW YEAR!!!!!:)