Answer:
f(3) = 9
Step-by-step explanation:
In the given figure,
when x=3,
f(x)=9
substituting x=3 in f(x),
=> f(3)=9
The greatest common factor of the numerator and denominator of the rational expression is x - 4
<h3>How to determine the greatest common factor?</h3>
The fraction expression is given as:
Factorize the numerator and the denominator
Cancel out the common factor
The common factor that was canceled out is x - 4
Hence, the greatest common factor of the numerator and denominator of the rational expression is x - 4
Read more about greatest common factors at:
brainly.com/question/10076354
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In 5 years, the ratio of their ages will be 5:1, so the difference in their ages will be 4 ratio units. Those 4 units correspond to 32 years, so each unit corresponds to 32/4 = 8 years.
Thus, in 5 years, Kate will be 8 and her father will be 40. Right now, Kate is ...
... 8 - 5 = 3 years old.
_____
<em>Using equations</em>
Let k represent Kate's current age. Then in 5 years Kate will be k+5, and we will have ...
... 5(k+5) = (k+5)+32 . . the relationship betewen their ages in 5 years
... 5k +25 = k +37 . . . . eliminate parentheses
... 4k = 12 . . . . . . . . . . . add -25-k
... k = 3 . . . . . . . . . . . . . divide by 4
Kate is 3 years old.
Answer:
Okay well first we right down what we already know:
- volume of 2,355 cubic inches
- the height is 10 inches
Now we write down the equation for the volume of a cone:
V = πr²
lets plug in what we know into the equation
2,355 = πr²
now we simplify to solve for r
2,355 / 10/3 = 706.5 = πr²
706.5/π = r²= 224.89
now since its r² we take the square root of 224.89
r = 15 inches
for diameter we multiply 15 by 2
diameter = 30 inches
Answer:
11/10
Step-by-step explanation:
4/5 = 8/10
8/10 + 3/10 = 11/10 or 1 and 1/10
