Answer:
C) Both functions are decreasing and both are positive on the interval (0;2)
Step-by-step explanation:
As known the exponent function has no minimum and has no maximum.
Otherwise exponent function can be only or increasing or decreasing for all x.
That means that in case y(x2)>y(x1) and if x2>x1- function is increasing.
That means that in case y(x2)<y(x1) and if x2>x1- function is decreasing.
Lets check what is going on with the function f(x)
If x1=0 f(x1)=24
If x2=2 f(x2)=0
So x2>x1 however f(x2)<f(x1)=> function is decreasing
Similarly g(x)
If x1=0 g(x1)=15
If x2=2 g(x2)=0
So x2>x1 however g(x2)<g(x1) => function is decreasing
So bothfunctions are decreasing.
Because f(x) is decreasing the function meaning with argument x1=0 has max in the interval x∈(0;2) And function meaning has the minimum if argument x2=2. So the function F(x) in interval (0;2) is changing from 24 to 0 => is positive on the interval (0,2)
The same is with g(x) . g(x) gonna be positive on the interval (0;2)
The absolute value of the quantity of five times x added to nine.
This will be answer .
Answer: x = 24
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
<u>Step 1:</u><u> </u><u><em>Remove parentheses.</em></u>
12 (2 − 2) + 32 = 
+ 6 + 2
<u>Step 2:</u><u> </u><u><em>Simplify 2 − 2 to 0.</em></u>
12 × 0 + 32 = + 6 + 2
<u>Step 3:</u><u> </u><u><em>Simplify 12 × 0 to 0.</em></u>
0 + 32 = + 6 + 2
<u>Step 4:</u><u> </u><u><em>Simplify 0 + 32 to 32.</em></u><em> </em>
32 = + 6 + 2
<u>Step 5:</u><u> </u><u><em> + 6 + 2 to </em></u><u><em> + 8.</em></u>
32 = + 8
<u>Step 6:</u><u> Subtract 8 from both sides.</u>
32 − 8 =
<u>Step 7:</u><u> Simplify 32 − 8 to 24.</u>
24 =
<u>Step 8:</u><u> </u><u><em>Switch sides.</em></u>
= 24
~I hope I helped you! :)~
It’s 5×2 which is 10 hope this helps:)
The future worth (F) of the current investment (P) with interest i is calculated through the equation,
F = P x (1 + i)^n
Substituting the known values to the given equation,
F + (2500) x (1 + 0.03)^5 = 2898.19
Thus, the account would have approximately 2898.19.
