Answer:
the answer is a
Step-by-step explanation:
i got corrected :)
The formula for an exponential equation is y = a * b^x with a and b being a fixed value.
"a" would also be the Y intercept, which is where the graph touches or crosses the Y axis. In the given graph, the curved line touches the Y axis at 100, so the value of a would be 100.
Now we need to find b.
The blue dot at Y 50 is lined up with x = 1, so we can use the point (1,50)
Using the X and Y values we can solve for b:
format: y = a * b^x we replace the letters with the numbers above:
50 = 100 * b^1
b^1 = b so now we have:
50 = 100 *b
Divide both sides by 100 to get b by itself:
b = 50/100, which reduces to 1/2, so b = 1/2
So the equation of the graph becomes y = 100(1/2)^x
You may need to write the 1/2 as 0.5, not sure how you need to enter it.
Answer:
5185.5
Step-by-step explanation:
I=PRT
I=$34570×0.03×5
=5185.5
Answer:
12, 23, 48, 325
Step-by-step explanation:
So, when given two inequalities and asked to find the values that make both true, it is considered a system of equations. To solve a system of equation, you have to graph the inequalities and find where they intersect.
Inequality 1:
(-3x) + 5 < (-10)
Inequality 2:
7x + x - 4 > 28
simplifies to: 8x - 4 > 28
When graphed, the inequalities don't intersect, but rather have a similar shaded area overlapping from the point of 5 and greater.
Answers that apply from given list would be:
12, 23, 48, 325
Answer:
General Formulas and Concepts:
<u>Algebra I</u>
<u>Calculus</u>
Antiderivatives - integrals/Integration
Integration Constant C
U-Substitution
Integration Property [Multiplied Constant]:
Trig Integration:
Step-by-step explanation:
<u>Step 1: Define</u>
<u /><u />
<u />
<u>Step 2: Integrate Pt. 1</u>
- [Integral] Factor fraction denominator:
- [Integral] Integration Property - Multiplied Constant:
<u>Step 3: Identify Variables</u>
<em>Set up u-substitution for the arctan trig integration.</em>
<u>Step 4: Integrate Pt. 2</u>
- [Integral] Substitute u-du:
- [Integral] Trig Integration:
- [Integral] Simplify:
- [integral] Multiply:
- [Integral] Back-Substitute:
Topic: AP Calculus AB
Unit: Integrals - Arctrig
Book: College Calculus 10e