Answer:
A, D
Step-by-step explanation:
for this table:
x 0 5 10 15 20 25 30 35 40
f(x) 5 6 7 8 9 10 11 12 13
A, assuming it's supposed to say f(5)=6, is true since 5 in x corresponds to 6 in f(x)
B is false, since the domain would be the set of all numbers in x, since domain corresponds to input (x) and range corresponds to output (f(x))
C is false, the range is not all real numbers since it is a defined set of numbers
D is true, since 15 in x corresponds to 8 in f(x)
Therefore, A and D are true
Answer:
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form"
Step-by-step explanation:
The main rule we use in this exercise is
![( \sqrt{a} ) ^{m} =( a^{ \frac{1}{2}} )^{m} = a^{ \frac{1}{2}*m}=a^{ \frac{m}{2}}](https://tex.z-dn.net/?f=%28%20%5Csqrt%7Ba%7D%20%29%20%5E%7Bm%7D%20%3D%28%20a%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%7D%20%29%5E%7Bm%7D%20%3D%20a%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%2Am%7D%3Da%5E%7B%20%5Cfrac%7Bm%7D%7B2%7D%7D)
and the more general case:
![( \sqrt[n]{a} ) ^{m} =( a^{ \frac{1}{n}} )^{m} = a^{ \frac{1}{n}*m}=a^{ \frac{m}{n}}](https://tex.z-dn.net/?f=%28%20%20%5Csqrt%5Bn%5D%7Ba%7D%20%20%29%20%5E%7Bm%7D%20%3D%28%20a%5E%7B%20%5Cfrac%7B1%7D%7Bn%7D%7D%20%29%5E%7Bm%7D%20%3D%20a%5E%7B%20%5Cfrac%7B1%7D%7Bn%7D%2Am%7D%3Da%5E%7B%20%5Cfrac%7Bm%7D%7Bn%7D%7D)
Using these rules, we make all the indices, or exponents, look like
![a^{ \frac{m}{n}}](https://tex.z-dn.net/?f=a%5E%7B%20%5Cfrac%7Bm%7D%7Bn%7D%7D)
, and compare them to each other.
A.
![( \sqrt{8} )^{9} = ( 8^{ \frac{1}{2}} )^{9} = 8^{ \frac{1}{2}*9}= 8^{ \frac{9}{2}}](https://tex.z-dn.net/?f=%20%28%20%5Csqrt%7B8%7D%20%29%5E%7B9%7D%20%3D%20%20%28%20%208%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%7D%20%20%20%29%5E%7B9%7D%20%3D%208%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%2A9%7D%3D%208%5E%7B%20%5Cfrac%7B9%7D%7B2%7D%7D)
B.
![( \sqrt{4} ) ^{5} =( 4^{ \frac{1}{2}} )^{5} = 4^{ \frac{1}{2}*5}=4^{ \frac{5}{2}}](https://tex.z-dn.net/?f=%28%20%5Csqrt%7B4%7D%20%29%20%5E%7B5%7D%20%3D%28%204%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%7D%20%29%5E%7B5%7D%20%3D%204%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%2A5%7D%3D4%5E%7B%20%5Cfrac%7B5%7D%7B2%7D%7D)
C.
![( \sqrt[3]{125} ) ^{7} =( 125^{ \frac{1}{3}} )^{7} = 125^{ \frac{1}{3}*7}= 125^{ \frac{7}{3}}](https://tex.z-dn.net/?f=%28%20%20%5Csqrt%5B3%5D%7B125%7D%20%29%20%5E%7B7%7D%20%3D%28%20125%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%7D%20%29%5E%7B7%7D%20%3D%20125%5E%7B%20%20%5Cfrac%7B1%7D%7B3%7D%2A7%7D%3D%20125%5E%7B%20%5Cfrac%7B7%7D%7B3%7D%7D%20%20%20)
D.
Answer:
hmmmmmmmmmmm I don't understand your question sorry
Step-by-step explanation:
9 * 8 * 10 * 2981
72 * 10 * 2981
720 * 2981
2, 146, 320
Hope this helps!