Answer:
Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. ... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary
Answer:
The answer is f(x)=2
Step-by-step explanation:
When the input is given it means that the x is substituted by that number.
so 3x3-7.
3x3-7
9-7=2.
The f of x is equivalent to 2.
I hope this helps :D
u = 1+3e<span>-x</span>
so that (Don't forget to use the chain rule on e<span>-x</span>.)
du = 3e<span>-x</span>(-1) dx = -3e<span>-x</span> dx ,
or
(-1/3)du = e<span>-x</span> dx .
However, how can we replace the term e<span>-3x</span> in the original problem ? Note that
.
From the u-substitution
u = 1+3e<span>-x</span> ,
we can "back substitute" with
e<span>-x</span> = (1/3)(u-1) .
Substitute into the original problem, replacing all forms of x, getting
(Recall that (AB)C = AC BC .)
Answer:
-4
Step-by-step explanation:
The slope is the number (& sign) attached to the variable x.
Remember to follow the slope-intercept form: y = mx + b.
Isolate the variable y. Note the equal sign, what you do to one side, you do to the other. ∴
First, add 4x to both sides:
-4x (+4x) - y = -5 (+4x)
-y = 4x - 5
Next, divide -1 from both sides (to make the variably y positive):
(-y)/-1 = (4x - 5)/-1
y = (4x - 5)/-1
y = -4x + 5
Slope intercept form: y = mx + b, in which m = slope, ∴ -4 is your answer.
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Hello! So, the train travels 80 miles in an hour. 90 minutes is equivalent ot 1 ½ hours. In case you don't know, ½ of 80 is 40. To find the distance gone in 90 minutes, we can just add 80 and 40. 80 + 40 is 120. Another way to solve it is to multiply 80 by 1.5 and you would still get the same answer. There. The train will have gone 120 miles in 90 minutes.