Answer:
D. Rewrite one side (or both) using the distributive property, Yes
Step-by-step explanation:
How can we get Equation BBB from Equation AAA? Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Hello there!
The sum of two numbers (x + y) is 8 (=8).
Their product (x * y) is 15 (=15).
x + y = 8
x * y = 15
First, we know that the two number must be positive and under 8, as the product is positive.
Let's list out some numbers that are from 1 to 8 that sum up to 8;
1 + 7
2 + 6
3 + 5
4 + 4
Now, we need to multiply the two numbers that add up to 8, and see which makes a product of 15.
1 * 7 = 7, this does not work.
2 * 6 = 12, this does not work.
3 * 5 = 15, this works!
4 * 4 = 16, this does not work.
Since we are looking for the larger number in our pairs, let's pick the largest one out of the correct pair, which is 5.
The largest number is 5.
I hope this helps!
Answer:
Step-by-step explanation:
3x +2y = 13 -----------------(i)
x + 2y = 7 ----------------(ii)
Multiply the equation (ii) by (-1) and then add.
(i) 3x + 2y = 13
(ii)*(-1) <u>-x - 2y = -7 </u> {Now, add and y will be eliminated}
2x = 6
x = 6/2
x = 3
Plug in x = 3 in equation (i)
3*3 + 2y = 13
9 + 2y = 13
2y= 13 - 9
2y = 4
y = 4/2
y = 2
The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.
Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.
By the fundamental theorem of calculus,
The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so
