For the first point, remember this simple rule: every exponential function 
always returns 
when evaluated at 
. In fact, 
for every possible base .
So, we can see that the graph of the exponential passes through the point 
where 
appears to be between 1 and 2. So, the only feasible option would be 
, because it passes throught the point 
because 
.
The other functions are wrong because:
would pass through 
, which would be between 0 and 1 on the y axis
would pass through 
, which would be between 2 and 3 on the y axis
would pass through 
, which would be between 0 and 1 on the y axis
As for the second question, you simply have to plug in the values: the function
means that you have to choose an input, x, and use it as exponent for 7. So, if you choose x=2, it means that you have to give exponent 2 to 7, i.e. you replace the x with the specific value, 2.
So, the expression becomes
If that is a negative three then the slope is .5 But if the three is not a negative then the answer is -0.1
Well I have more than 4 but whatever....
2 x 420
3 x 280
4 x 210
5 x 168
6 x 140
7 x 120
8 x 105
10 x 84
12 x 70
14 x 60
15 x 56
20 x 24
21 x 40
24 x 35
28 x 30
2 x 2 x 210
2 x 3 x 140
2 x 5 x 84
2 x 7 x 60
3 x 5 x 56
3 x 7 x 40
5 x 7 x 24
2 x 2 x 2 x 105
2 x 2 x 3 x 70
2 x 2 x 5 x 42
2 x 2 x 7 x 30
2 x 3 x 5 x 28
2 x 3 x 7 x 20
3 x 5 x 7 x 8
2 x 2 x 2 x 3 x 35
2 x 2 x 2 x 5 x 21
2 x 2 x 2 x 7 x 15
2 x 2 x 3 x 5 x 14
2 x 2 x 3 x 7 x 10
2 x 3 x 4 x 5 x 7
<span>2 x 2 x 2 x 3 x 5 x 7</span>
Hope I Helped You!!! :-)
Have A Good Day!!!
We are dividing the polynomial
by x+4
notice that
is x times 2x,
so if we multiply (x+4) by 2x, which gives us
, we can 'separate' one
from
to get the following simplification:
similarly we notice that 5x is x times 5, so if we multiply (x+4) by 5, we get 5x+20 so we can rewrite
can not be simplified any further since the degree of 6, is smaller than the degree of x+4
combining our work, we have:
Answer:
q(x)= 2x+5
r(x)=6
b(x)=x+4
Remark: we can solve the problem by long division or the division algorithm as well.
Answer:
Esmeralda has enough music left in her playlist for a 30 minute workout
Step-by-step explanation:
we know that
If Esmeralda accidentally deleted 25% of the music, then the percentage of music left in her playlist equals 100%-25%=75%.
Find out how many minutes represent 75% of 40 minutes
Multiply 40 by 0.75
therefore
Esmeralda has enough music left in her playlist for a 30 minute workout
