To find f(-7), just plug -7 in for all x
2(-7) + 8
-14 + 8
-6 is the answer!
Answer:
0.07072
Step-by-step explanation:
Red Blocks= 31
Green Blocks= 47
Yellow blocks = 23
Purple blocks= 24
Total= 31+47+23+24= 125
P(Yellow) = 23/125
P(Purple)=24/125
NOTE: AND (X), OR (+)
P(yellow yellow or purple purple)
= P(Y and Y) + P(P and P)
=(23/125 X 23/125) + (24/125 X 24/125)
=529/15625 + 576/15625
=1105/15625
=221/3125
=0.07072
Therefore:
Probability of Picking Yellow Yellow or Purple Purple is 0.07072.
For this case we have to, by defining properties of powers and roots the following is fulfilled:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
We must rewrite the following expression:
![\sqrt [3] {8 ^ {\frac {1} {4} x}}](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7B8%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B4%7D%20x%7D%7D)
Applying the property listed we have:
![\sqrt [3] {8 ^ {\frac {1} {4} x}} = 8 ^ {\frac{\frac {1} {4} x} {3} }= 8 ^ {\frac {1} {4 * 3} x} = 8 ^ {\frac {1} {12} x}](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7B8%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B4%7D%20x%7D%7D%20%3D%208%20%5E%20%7B%5Cfrac%7B%5Cfrac%20%7B1%7D%20%7B4%7D%20x%7D%20%7B3%7D%20%7D%3D%208%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B4%20%2A%203%7D%20x%7D%20%3D%208%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B12%7D%20x%7D)
Using the property again we have to:
![8 ^ {\frac {1} {12} x} = \sqrt [12] {8 ^ x}](https://tex.z-dn.net/?f=8%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B12%7D%20x%7D%20%3D%20%5Csqrt%20%5B12%5D%20%7B8%20%5E%20x%7D)
Thus, the correct option is option C
Answer:
Option C
Answer:
3/4 of a tank =3/4(13) gal
=39/4 almost 10 gal
The slope is 0.
The formula to find the slope is y2-y1 over x2-x1. If you plug in your numbers, you should have 5-5 over 9-10. Subtract this and you will get your slope!
