Chris is incorrect. To check the answer, replace m with 8 and simplify the left side. So m/6 turns into 8/6 which converts to the decimal value 1.333 (use a calculator)
Therefore the original equation m/6 = 48 becomes 1.333 = 48 after you plug in m = 8 and simplify fully. The two sides of 1.333 = 48 are not the same, so m = 8 is not the solution.
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The solution is actually 288 and we can prove it so like this
m/6 = 48
288/6 = 48 .... replace m with 288
48 = 48 .... use a calculator to compute 288/6
So the solution m = 288 is confirmed
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How did I get this answer? By multiplying both sides by 6
m/6 = 48
6*(m/6) = 6*48 ..... multiply both sides by 6
m = 288
So Chris mistakenly divided both sides by 6, which explains how he got 48/6 = 8 as the solution. Instead he should have multiplied both sides by 6. This is to undo the operation "divide by 6" that is being applied to m in the original equation.
The answer choices tell you this is a parabola.
The given points tell you it opens upward and the vertex is (2, -3).
Your knowledge of the vertex form of the equation is the only "technology" that you need. The vertex form is
y = a(x - h)² + k . . . . . for vertex (h, k)
The fact that the y-value is 1 more than its vertex value when |x-2| = 1 tells you the scale factor "a" is 1.
You can write the model as
D. f(x) = (x -2)² - 3
Answer:
if Jenna sold none, Elijah would sell 6... C=6
Step-by-step explanation:
Add 6 to 32
Answer:
6x - 4 = 32. The variable (times a number) is equal to 6.
Step-by-step explanation:
So this equation is basically asking you to formulate an equation using only the words given. For this equation, let's use a variable in place of the part where it says "times a number." When a question says that phrase, that means that they are telling you to use a variable in place of a mystery number. A variable is a letter in place of a mystery number. Knowing this, let's now solve the equation. We will use the variable x in place of our mystery number.
Four less than 6 times a number: 6x - 4 _ __.
Now we can add the equal sign and the 32: 6x - 4 = 32.
We can now solve. Add 4 to both sides of the equation to cancel out the -4:
6x - 4 = 32
<u>+4 + 4</u>
6x = 36
Now we divide 6 into both sides of the equation to single out the x.
<u>6x = 36</u>
6 6
36/6 = 6, so:
x = 6
I hope that this helps.
