Which graph represents f(x)=4⋅5x ?
2 answers:
Answer:
Bottom left graph.
Step-by-step explanation:
Please consider the attached graph for complete question.
We are asked to choose the graph that represents function .
We can see that our given function is an increasing exponential function as base of the exponent is greater than 1 and leading coefficient is positive.
Now, we will find the y-intercept to check where the graph intersects y-axis.
To find y-intercept, we will substitute in our given function.
Since the y-intercept is 4, so graph intersects y-axis at .
Therefore, bottom left graph is the correct choice.
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Answer:
Surface Area: 34
Volume: 10
Step-by-step explanation:
Volume = l*w*h
We need to divide the shapes up.
First Shape: 3 length * 1 width * 2 height
Second Shape: 2 length * 1 width * 2 height
6+4=10
Surface Area: 2(lw+wh+hl)
Lets divide the shape into two parts again and plug in the number into the formula.
2(3+2+6) = 2(11) = 22
However, for this, two units are inside to shape because we split it up. We can remove these 2 units.
22-2=20
Now we move to the next shape.
(Keep in mind, you can always just count surface area.)
2(2+2+4) = 2(8) = 16
However, again, two units are inside the shape because this is not just a simple figure.
16-2=14
14+20=34
Let 
be an integer. Suppose there is a triangle with legs of length 16 and 
. Then by the Pythagorean theorem, the length of the hypotenuse should be
The formulas for Pythagorean triples say that if the legs are integers, then so must be the hypotenuse, because if
and 
are integers, then so are 
, 
, and 
.
However,
is not a perfect square trinomial, which means for any integer , the length of the hypotenuse is not an integer, so such a triangle doesn't exist.
The formulas for Pythagorean triples say that if the legs are integers, then so must be the hypotenuse, because if
However,