Answer: x = 11
Step-by-step explanation:
2x+5 = 3x-6
2x-3x = -6-5
-x = -11
x = 11
Double-check:
11*2= 22 11*3=33
22+5 = 27 33-6= 27
Answer:
59.38
Step-by-step explanation:
In the number 59.378, "7" is in the hundredth place. So, we need to round it according to the 7. Anything to the left of 7 doesn't need to be rounded. If we round the thousandths place, 8, up to 7, we get 59.38
Answer:
-2, 8/3
Step-by-step explanation:
You can consider the area to be that of a trapezoid with parallel bases f(a) and f(4), and width (4-a). The area of that trapezoid is ...
A = (1/2)(f(a) +f(4))(4 -a)
= (1/2)((3a -1) +(3·4 -1))(4 -a)
= (1/2)(3a +10)(4 -a)
We want this area to be 12, so we can substitute that value for A and solve for "a".
12 = (1/2)(3a +10)(4 -a)
24 = (3a +10)(4 -a) = -3a² +2a +40
3a² -2a -16 = 0 . . . . . . subtract the right side
(3a -8)(a +2) = 0 . . . . . factor
Values of "a" that make these factors zero are ...
a = 8/3, a = -2
The values of "a" that make the area under the curve equal to 12 are -2 and 8/3.
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<em>Alternate solution</em>
The attachment shows a solution using the numerical integration function of a graphing calculator. The area under the curve of function f(x) on the interval [a, 4] is the integral of f(x) on that interval. Perhaps confusingly, we have called that area f(a). As we have seen above, the area is a quadratic function of "a". I find it convenient to use a calculator's functions to solve problems like this where possible.
Answer: 0,5, and -4 is the zeros
Step-by-step explanation:
X-8y+5=0
Step by step explanation