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The first question:3y=4x+7 (1)
-4x-4y=28 (2)
Let's plug in x = -4, -3, 3, and 4 and see the y-values :)
I have attached the table since it's hard to make a table with text :P
As you can see, when x = -4, that is when the y-values are equal. That means that is the solution to the system of equations. Your answer is
A) (-4, -3).
The second question:</span><span>-3x-y=-10 (1)
4x-4y=8 (2)
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When you graph both equations, you will see that they intersect at
D) (3, 1).
The third question:
We need to find the lines for revenues and expenses.
To find the line for revenues, make months the x-value and revenues the y-values. And find the equation. You should get y = 4,100x + 300.
To find the line for expenses, make months the x-value and expenses the y-values. And find the equation. You should get y = 1,900x + 19,990.
Now graph both solutions and see where they intersect. They intersect at approximately (8.95, 36995)
That would be during the month of
C) August.
Answer:
3) 16π cm²
4) 240.625 cm²
Step-by-step explanation:
<em>3. For this problem I'm going to use the formula Area = π × r²</em>
<em>To start off, I'm going to input our value of radius which is 4cm.</em>
π × 4²
<em>Finally, I'm going to square our value "4"</em>
16π cm²
<em>(I'm going to "leave my answer in terms of π" as the problem states but if you need the complete answer it would be </em>about 50.24 cm²
<em>4. For this problem I'm going to use the formula Area = π × (d/2)²</em>
<em>To begin, I will divide our diameter by 2 to find the radius.</em>
17.5/2 = 8.75
<em>Next, we are going to square our now, radius.</em>
8.75² = 76.5625
<em>Now, we have to multiply our squared radius by π (in this problem it states to use 22/7, so that's what we'll do :)</em>
76.5625 × 22/7 = 240.625 cm²
<em>So! This is our final answer!</em>
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Hope this Helps! :)
<em>Have any questions? Ask below in the comments and I will try my best to answer.
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-SGO
(x + 5)(x - 7)
x(x - 7) + 5(x - 7)
x(x) - x(7) + 5(x) - 5(7)
x² - 7x + 5x - 35
x² - 2x - 35
Answer:
Step-by-step explanation:
