Answer:
( -3 , -4 )
Step-by-step explanation:
"A parabola is curved instead of linear, in your case it is probably just facing up or down so I won't get into square roots for now.So the quadratic equation that you probably have had to memorize (or will soon) is:
x=(-b[+or-]√(b²-4ac))/2a when you have an equation like ax²+bx+c=0Now where does the curve shape come from? You see that little pesky plus or minus in the equation? That's because there are always 2 values (inputs) that will generate the same output. Example:y=x²(2)²=4(-2)²=...4So if you were to follow this pattern, and plot the points on a graph, you would end up with a curve. You end up with a curve because the slope is constantly increasing.
And this is actually where you start the study of Calculus(!), which is all about measuring slopes (And a bunch of other stuff, but this is the easiest part to explain). Actually, in this case of y=x², the slope at any given point (funnily enough) is equal to 2 times your x-value.
The point is, your line is curved because unlike a linear equation, the slope is changing (at a constant rate)."
Answer: The surface area of each cube is 24 ft² (24 square feet)
Step-by-step explanation: The boxes according to the question are shaped like cubes, which means the shape we have here has square faces on all sides. Also the boxes have been opened up into nets and this shows each box as having 6 faces.
The area of each face is derived as follows;
Area = L x W
Area = 2 x 2
Area = 4 ft²
Having calculated the surface area of each face, a box or cube with 6 faces will have its surface area as;
Area of box = Face area x 6
Area of box = 4 x 6
Area of box = 24 ft²
Therefore in designing labels for all of the boxes, Raj would need 24 square feet of label for each box.
<h3>Answer:</h3>
- no
- yes
- no
- yes
- yes
<h3>Explanation:</h3>
The distributive property is useful both for collecting terms and for eliminating parentheses.
1. 3x +1/4 -x +1 1/2 = x(3 -1) +(1/4 +1 2/4) = 2x +1 3/4 ≠ 4x +1 3/4 (no)
2. 2(3x+1) = 2·3x + 2·1 = 6x +2 = 2 +6x (yes)
3. 3(x+1) -(1+x) = (x+1)(3 -1) = 2(x+1) = 2x +2 ≠ 2x +3 (no)
4. 4(x+1)-x-4 = 4x +4 -x -4 = x(4-1) +(4-4) = 3x +0 = 3x (yes)
5. 5.5 +2.1x +3.8x -4.1 = x(2.1 +3.8) +(5.5 -4.1) = 5.9x +1.4 = 1.4 +5.9x (yes)
The function rule for x is +1. When you want to get the next number in the set, you add one to the previous number. For example, -1 + 1 = 0.
The function rule for y is - 5. When you want to get the next number in the set, you subtract five to the previous number. For example, 9 - 5 = 4.
Hope this helps!
