Answer:
1 2/21
Step-by-step explanation:
We start out with:
3/7 + 2/3
In order to add them together, they must have an equal denominator. An easy way to find an equal denominator is the cross method. We divide 7 by 3 and 3 by 7, giving us a denominator of 21:
3/21 + 2/21
But what about the numerators? You do the same thing as before (multiplying by the other's denominator). Now we have:
9/21 + 14/21
We add both together (the denominator stays the same) and we get 23. 23/21 is correct but not in simplest form. We remove 21 from the numerator (because it is a whole) and finally get:
1 2/21!
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Answer:
The required function is:
Step-by-step explanation:
We have to represent the given scenario as an equation or function
Let x be the number of miles driven in a week
Let C(x) be the function of the number of miles driven
As it is given that charges are 150 per week, these charges are constant so they will be used as it is.
It is also given that the cost of car is 0.45 per mile so for x miles the cost will be:
0.45x
Combining both terms, we get
Hence,
The required function is:
Answer:
a=1
Step-by-step explanation:
Because x-1 is factor of f(x)
for x1=1, f(1)=0, then
f(1)=5*1^3+a*1^2-4*1-2=0
5*1+a*1-4-2=0
5+a-6=0
a-1=0
a=1
Step-by-step explanation:
Axis of symmetry for quadratic ax² + bx² + c:
x = -b/2a.
Therefore for y = x² - 4x + 2,
-b/2a = -(-4)/2(1) = 2
The axis of symmetry is x = 2.
Answer:
600
Step-by-step explanation:
