Another name for 1/4 is a quarter
hope this helps
Answer:
x=1
Step-by-step explanation:
3^ (3x+1) = 81
Rewrite 81 as a power of 3
3^4
3^ (3x+1) = 3^4
Since the bases are the same, the powers are the same
3x+1 =4
Subtract 1 from each side
3x+1-1 =4-1
3x=3
Divide by 3
3x/3 = 3/3
x =1
Answer:
Option b is correct.
Linear function ;
y =2x
Step-by-step explanation:
The formula y=f(x)=mx +c ......[1] is said to be a linear function. That means the graph of this function will be a straight line on the (x, y) plane, where m represents slope and b is the y-intercepts.
Consider any points from the table;
(1, 2) and (2, 4)
substitute these point in [1] we get;
for (1, 2)
⇒x = 1 and f(x) = 2 we have
2 = m + c
or
c = 2- m ......[1]
for (2, 4) we have;
4 = 2m + c .....[2]
Now, substitute equation [1] into [2] we get;
4 = 2m + 2 -m
Combine like terms;
4 = m + 2
Subtract 2 from both sides we get;
4 -2 = m +2 -2
Simplify:
2 = m or
m = 2
Substitute the value of m = 2 in [1] to solve for c;
c = 2 -2 = 0
c =0
⇒ y = 2x +0
y = 2x
therefore, the data in the table represents the Linear function and a possible formula for the linear function is; y = 2x
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Answer: 797 feet 3 inches
Step-by-step explanation:
