Answer:
y = 2
Step-by-step explanation:
For the exponential function in the form
y = a
Use ordered pairs from the table to find a and b
Using (0, 2 ), then
2 = a
( = 1 ) , thus
a = 2, so
y = 2
Using (1, 6 ) , then
6 = 2b ( divide both sides by 2 )
b = 3
Thus the exponential function is
y = 2
Answer:
1.048
Step-by-step explanation:
<em>
</em>
- <em>
</em> - <em>After</em><em> </em><em>calculati</em><em>ng</em><em> </em><em>the</em><em> </em><em>answer</em><em> is</em><em> </em><em>1</em><em>.</em><em>0</em><em>4</em><em>8</em>
Use the linear slope formula to solve for m:
m=(y2-y1)/(x2-x1)
using the points (-1,1) and (1,5) you can find the slope for the first interval:
m=(5-1)/(1-(-1))
m=4/2
m=2
you can double check by using the same formula on the second interval, which is (1,5) to (3,9).
m=(9-5)/(3-1)
m=4/2
m=2
therefore, the rate of change is 2.
Answer:
x is no more than -6
Step-by-step explanation:
Answer:
In order to have ran 33 miles, Bobby would have to attend <em>32 track practices.</em>
Step-by-step explanation:
Solving this problem entails of uncovering the amount of track practices Bobby must attend in order to have ran 33 miles. Start by reading the problem carefully to break down the information provided.
You can see that Bobby has already ran one mile on his own. This is important to remember for later. The problem also states that he expects to run one mile at every track practice.
Setting up an equation will help us solve. Here is how we could set up the equation:
(<em>amount of miles already ran</em> = 1) + (<em>number of track practices</em> = x) = (<em>total miles to run</em> = 33)
1 + x = 33
The equation is now in place. You can solve this, or isolate <em>'x',</em> by using the subtraction property of equality. This means we will subtract one from both sides of the equation, thus isolating the variable.
1 + x = 33
1 - 1 + x = 33 - 1
x = 32
The variable is the only term left on the left side of the equation. This means Bobby must attend track practice <em>32 times</em> in order to have ran 33 miles.
