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1. Answer: To create graphs from verbal expressions, first you have to write the verbal expression as a function. Then, you can create a table of values to look for a pattern and graph the function. The key features of any function can be compared in tables and graphs by creating the matching graph for the function.
2. It is because there is no value of x that will cause the value of f(x) in the formula to equal 0. Notice that the graph crosses the y-axis at 1. ... The inverse of an exponential function is a logarithmic function and the inverse of a logarithmic function is an exponential function
3. y = e^x is an exponential function that increases gradually from (-∞, 0) until it reaches the point (0,1). Thereafter, it very sharply increases on (0,∞).
Hey Can you help me with my questions? I need help for English... and Math!?
The tangent AD at point C forms a right angle to circle B, such as ∠ACB=90° and ∠ABC=55°.
We also know that the summation of all angles in a triangle is 180°. Thus we have the expression below:
180°=∠ABC + ∠ACB + ∠BAD
180°=55°+90°+∠BAD
∠BAD=35°
Therefore, the answer is 35°.
One nice thing about this situation is that you’ve been given everything in the same base. To review a little on the laws of exponents, when you have two exponents with the same base being:
– Multiplied: Add their exponents
– Divided: Subtract their exponents
We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have
[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]
For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us
5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2
And summing the terms in the second:
3 + 1/2 + (-10) = 3 1/2 + (-10) = -6 1/2
Putting those both into our first question gives us -6 1/2 - (-6 1/2), which is 0, since any number minus itself gives us 0.
Now we can bring the 2 back into the mix. The 0 we found is the exponent the 2 is being raised to, so our answer is
2^0, which is just 1.
