Answer:
The x-coordinates of the points are x = 3 and x = - 8.
Step-by-step explanation:
We have to find the x-coordinates of the points where the graph of equation y = (x - 3)(x + 8) crosses the x-axis.
Now, the x-intercept of a function implies that y = 0 {Because on x-axis, y-value is zero}
Hence, (x - 3)(x + 8) = 0
⇒ (x - 3) = 0 and (x + 8) = 0
⇒ x = 3 and x = - 8
Therefore, the x-coordinates of the points are x = 3 and x = - 8. (Answer)
Let's solve your equation step-by-step.<span><span><span><span>1/2</span>y</span>−<span>21/4</span></span>=<span><span>−35/</span>4</span></span>Step 1: Simplify both sides of the equation.<span><span><span><span>12</span>y</span>+<span><span>−21/</span>4</span></span>=<span><span>−35/</span>4</span></span>Step 2: Add 21/4 to both sides.<span><span><span><span><span>1/2</span>y</span>+<span><span>−21/</span>4</span></span>+<span>21/4</span></span>=<span><span><span>−35/</span>4</span>+<span>21/4</span></span></span><span><span><span>1/2</span>y</span>=<span><span>−7/</span>2</span></span>Step 3: Multiply both sides by 2.<span><span>2*<span>(<span><span>1/2</span>y</span>)</span></span>=<span>2*<span>(<span><span>−7/</span>2</span>)</span></span></span><span>y=<span>−7</span></span>Answer:<span>y=<span>−<span>7</span></span></span>
Answer:
If you actually meant f(x)=2x+3x−1 ,
then note it can be rewritten as:
f(x)=2x−2+5x−1=2+5x−1=y
At this point you can find x in terms of y (“make x the subject”):
y−2=5x−1⟹1y−2=x−15
⟹x=5y−2+1=y+3y−2
Switch variables back to x, and you have the inverse function of f:
g(x)=x+3x−2
How do you know you’ve calculated correctly? The composition of f with g should result in x — that is, evaluate f(g) and you should get the result x:
Answer:
1222 billion dollars.
Step-by-step explanation:
To find the total increase from 1960 to 2010, we need to find the growth of each decade and sum them all:
In the period 1960-1970, we have x = 1, and the growth is:
In the period 1970-1980, we have x = 2, and the growth is:
The growth in the following 3 periods are:
So the total growth in the period 1960 - 2010 is:
Rounding to the nearest billion dollars, we have a total of 1222 billion dollars.
