Solving for the missing term and the missing coefficient (6a − )5a = ( ) a^2 − 35a
Let the missing term be X
Let the missing coefficient be Y
Therefore, (6a – X)5a = Y(a^2) – 35a
6a x 5a – X.5a = Y.a^2 – 35a
30a^2 – X.5a = Y.a^2 – 35a
Equating co-efficients,
30a^2 = Y.a^2; X.5a = 35a
30 = Y; 5X = 35
Y = 30; X = 7
Therefore, (6a-7)5a = 30 a^2 – 35a
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Answer:
The correct option is D.
Step-by-step explanation:
The given graph is the graph of a cosine function, which shifts 1 unit left.
The cosine function is defined as

Where, a is amplitude, b is frequency, c is phase shift and d is vertical shift.
If c>0, then the graph shifts c units left and if c<0, then the graph shifts c units right.
Since the graph show only phase shift and the graph shifts only one unit left, therefore required function is

Option D is correct.
To find the slope of g(x), use the slope formula(m):
And plug in two points, I will use:
(0, 2) = (x₁, y₁)
(5, 4) = (x₂, y₂)



You could do the same to find f(x) by finding two points and using the slope formula, or you could use this to tell visibly:

Rise is the number of units you go up(+) or down(-) from each distinguished point
Run is the number of units you go to the right from each distinguished point
If you look at the graph, you can see the points (0, -1) and (3, 1). From each point, you go up 2 units and to the right 3 units (you can make sure by using another point). So the slope of f(x) is 
Whichever line looks more vertical(and is positive) has the greater slope. So the slope of f(x) is greater than the slope of g(x). The answer is option A
Answer:
see explanation
Step-by-step explanation:
Given

= 
= 
Rationalise the denominator by multiplying the numerator/ denominator by 
Note that
×
= a
=
× 
= 
Answer:
Hello! Your answer is BELOW
Step-by-step explanation:
Car will cover 16 miles in 1 gallon of the gas.
We can solve this question by unitary method.
∵ A car used
gallons of gas to drive the distance =
miles
∴ Car used 1 gallons to drive the distance =
=
=
= 16 miles
Therefore, car will cover 16 miles in 1 gallon of the gas.
Hope I helped! Hope you make an 100%.
-Amelia♥