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dusya [7]
3 years ago
10

Which among the four choices gives the difference of (x/4x²) and (3/4x²)?​

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0

Answer:

2

Step-by-step explanation:

the difference is that

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For the following exercises, find (f ∘ g)(x) and (g ∘ f)(x) for each pair of functions.
Rufina [12.5K]

Answer:

The value of $(f \circ g)(x)$ is 17-18x and $(g \circ f)(x)$ is -7-18x.

Step-by-step explanation:

It is given in the question functions f(x) as 3x+2 and g(x)=5-6x.

It is required to find $(f \circ g)(x)$ and $(g \circ f)(x)$.

To find $(f \circ g)(x)$, substitute g(x) for x in f(x) and simplify the expression.

To find $(g \circ f)(x)$, substitute f(x) for x in g(x) and simplify the expression.

Step 1 of 2

Substitute g(x) for x in f(x) and simplify the expression.

$$\begin{aligned}&(f \circ g)(x)=f(5-6 x) \\&(f \circ g)(x)=3(5-6 x)+2 \\&(f \circ g)(x)=15-18 x+2 \\&(f \circ g)(x)=17-18 x\end{aligned}$$

Step 2 of 2

Substitute f(x) for x in g(x) and simplify the expression.

$$\begin{aligned}&(g \circ f)(x)=g(3 x+2) \\&(g \circ f)(x)=5-6(3 x+2) \\&(g \circ f)(x)=5-18 x-12 \\&(g \circ f)(x)=-7-18 x\end{aligned}$$

5 0
2 years ago
There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random from the bag, the colour is noted and then it i
Vera_Pavlovna [14]

Answer:

2/9?

Explanation:

4+5=9

5>4

2x chance

8 0
3 years ago
A car travels at the rate of x miles per hour for y minutes. which of the following gives the number of miles the car has travel
harkovskaia [24]

Given that speed of car = x miles per hour

Time of travel = y minutes = y/60 hours

(Because there are 60 minutes in an hour)

We have to calculate distance travelled so we will use formula

Distance = speed * time

Distance = x * y/60

Distance = xy/60

Hence choice d) xy/60 is the final answer.

7 0
4 years ago
The hypotenuse of a 45 -45 -90 triangle measures 128 cm what is the length of one leg of the triangle
erma4kov [3.2K]
This is an isosceles triangle. The definition of an isosceles triangle is a triangle with at least two congruent sides and angles. If 2 angles on a triangle are congruent (in this case 45 and 45 are two congruent angles) then triangle is isosceles. Therefore the two sides of triangle will be congruent. We know that the triangle is a right triangle because it has a hypotenuse. If a triangle has a hypotenuse then it's a right triangle. We can apply the Pythagorean theorem: a^2 + b^2 = c^2
A and B are the legs and C is the hypotenuse.
We can plug C in the equation:
a^2 + b^2 = 128
What do we know about the legs of the isosceles triangle? They are congruent so a and b have to be equal. From here it's simply guess and check. Will 8 work?
8^2 + 8^2 = 128
64 + 64 = 128
128=128
Yes the value 8 works so the length of two legs of the triangle is 8.
4 0
4 years ago
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While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the Uni
Anettt [7]
Since the exchange rate of euro to USD right now is 1:1.11, therefore he spent 150x1.11=166.5 USD. Therefore, he has 250-166.5=83.5 USD left(assuming the exchange rate is the same, 1.17).
5 0
4 years ago
Read 2 more answers
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