Answer:
4x^2-x-4
Step-by-step explanation:
f(x) = 4x^2-3 and g(x) = x+1,
(f - g)(x)= 4x^2-3 -( x+1)
Distribute the minus sign
=4x^2-3 - x-1
Combine like terms
=4x^2-x-4
<u>c) 3, 6, 9 12</u> is NOT a geometric progression
<h3>Further explanation
</h3>
Geometry sequences are series of numbers that have a constant ratio
or can be interpreted:
Each number is obtained by multiplying the previous number by a constant
The sequence can be:
a, ar, ar², ar³, ... etc.
Can be formulated
where:
a is the first term, and
r is the common ratio
So we have to see the series has the same ratio or not
a. 
b. 
c.
d. 
<h3>Learn more
</h3>
a geometric sequence
brainly.com/question/1480821
Determine whether the sequence below is a geometric
brainly.com/question/978528
the formula for a finite geometric series
brainly.com/question/4520322
Keywords : a geometric sequence, the first term, the common ratio
Point Form: (1,-5)
Equation Form: x-1,y=-5
Answer:
1 3/7 quarts should be drained off and replaced with pure antifreeze.
1 3/7 ≈ 1.4286
Current amount of antifreeze in quarts is -
30/ 100 × 10 = 3
40% ---> 4 quarts
Let the amount drained of and replaced with antifreeze be x-
The amount left after draining off is 10 − x.
The amount of antifreeze is 30/ 100 (10−x).
30/100(10-x)+x=4
3-3/10x+x=4
3+x(1-3/10)=4
x=1*10/7=1 3/7 quarts
check;
10- 1 3/7 = 8 4/7
=(30/100*8 4/7)+1 3/7
=(3/10 * 60/7) + 10/7
=3*6/7 + 10/7
=28/7
=4
4 liters of pure antifreeze is mixed into 10 quarts.
Answer:
600 miles.
Step-by-step explanation:
So basically we can write both plans as linear functions:
F(x) = $59.96+$0.14 . x
S(x) = $71.96+$0.12 . x
Where F(x) is the first plan, S(x) is the second one and X are the miles driven.
To know how many miles does Mai need to drive for the two plans to cost the same, we equalize both equations and isolate x.
F(x) = S (x)

Mai has to drive 600 miles for the two plans to cost the same-