<span>(3 − 4)(2 + 5) = -1 * 7 = -7
hope it helps</span>
Answer:
It will take Malik 23.157 additional hours of work to save total of $320 into his savings. Which is $220 of what he needs to match Linda.
Malik will work total 23.157 + 10.526hrs = 33.683 to save $320
Linda will work 45.714 hrs to save $320.
Step-by-step explanation:
Linda - $320 / 7hr rate = 45.714 hours worked to earn this amount.
Find out how many hours Malik worked to save $100 first.
$100 current savings divided by his hourly rate of $9.50 = 10.526 hours worked.
To find out how many hours Malik must work to have $320 in his account, we subtract what he has now $100 from what he needs $220 to match with Linda's $320. Next find how many hours it will take for Malik to save $220.
To get this take $220 / 9.5 hr rate which is what he gets paid per hour to get 23.157.
Answer:
which principle prevents a brach from abusing its power
Step-by-step explanation:
The function is
1. let's factorize the expression
:
the zeros of f(x) are the values of x which make f(x) = 0.
from the factorized form of the function, we see that the roots are:
-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3
(the multiplicity of the roots is the power of each factor of f(x) )
2.
The end behavior of f(x), whose term of largest degree is
, is the same as the end behavior of
, which has a well known graph. Check the picture attached.
(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of
)
so, like the graph of
, the graph of
:
"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "
a) Remember that the y-intercept of a exponential function
is
, so the only thing to do to find the y-intercept in our functions is evaluate it at t=0:
We can conclude that the y-intercept of our function is (0,50), and it represents the initial bacteria population in the sample.
b) To find if the function is growing or decaying, we are going to convert its decimal part to a fraction. Then, we will compare the numerator and the denominator of the fraction. If the numerator is grater than the denominator, the function is growing; if the opposite is true, the function is decaying.
Remember that to convert a decimal into a fraction we are going to add the denominator 1 to our decimal and then we'll multiply both of them by a power of ten for each number after the decimal point:
Now we can rewrite our exponential function:
Since the numerator is grater than the denominator, it is growing faster than the denominator; therefore the function is growing.
c) The only thing we need to do here is evaluate the function at t=5:
We can conclude that after 5 hours <span>Dr. Silas began her study will be 268.9 bacteria in the sample.</span>