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Levart [38]
2 years ago
10

) f(x) = 4x + 5, g(x) = 2/x; Find (g • f)(3).

Mathematics
2 answers:
Soloha48 [4]2 years ago
8 0

Answer:

The answer is 2/17

Step-by-step explanation: Can I get brainliest again my answer was deletedee

djyliett [7]2 years ago
3 0

\text{Given that,}\\\\f(x) = 4x+5,~~~g(x) = \dfrac 2x\\\\\\f(3) = 4(3) +5 = 12 +5 = 17\\\\\\(g\circ f)(3)=g(f(3))=g(17)=\dfrac 2{17}

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When placed end to end, three red rods are 2 cm longer than than 2 blue rods. Three blue rods are 2 cm longer than four red rods
Oxana [17]

Answer:

Red = 10 cm, blue = 14 cm

Step-by-step explanation:

<em>Let the length of each red rod be </em><em>r </em><em>and each blue rod be </em><em>b</em>

<u>Then we have:</u>

  • 3r - 2b = 2
  • 3b - 4r = 2

<u>Multiply the first equation by 3 and the second one by 2:</u>

  • 9r - 6b = 6
  • 6b - 8r = 4

<u>Add the equations to eliminate one of variables:</u>

  • 9r - 8r = 6 + 4
  • r = 10 cm

<u>Find the value of b:</u>

  • 3*10 -2b = 2
  • 30 - 2 = 2b
  • 2b = 28
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5 0
3 years ago
The graph shows two lines, A and B.
scoundrel [369]

Answer:

second option: (4, 4) is the solution to both lines A and B.

Step-by-step explanation:

You know that the equation of line A is:

y=-3x+15

and the equation of line B is:

y=\frac{1}{2}x+2

The point in which the line A intersects with the line B is the solution of the sytstem of equations.

You can observe in given graph that the point of intersection of Line A and Line B is: (4,4)

Therefore (4, 4) is the solution to both lines A and B.

8 0
3 years ago
Read 2 more answers
In the function y=5x^2-2, what effect does the number 5 have on the graph, as compared to the graph of y=x^2?
allochka39001 [22]

General Idea:

The Rules for Transformations of Functions are given below:

If f(x) is the original function, a > 0 and c > 0; Then

f(x)+k \; \; shift \; f(x) \; UPWARD \; k \; units\\\\f(x)-k \; \; shift \; f(x) \; DOWNWARD \; k \; units\\\\f(x+h) \; \; shift \; f(x) \; LEFT \; h \; units\\\\f(x-h) \; \; shift \; f(x) \; RIGHT \; h \; units\\\\-f(x) \; \; REFLECT \; f(x) \; in \; the \; x-axis\\\\f(-x) \; REFLECT \; f(x) \; in \; the \; y-axis\\\\a \cdot f(x), \; a>1 \; STRETCH \; f(x) \; vertically \; by \; a \; factor \; of \; a\\\\a \cdot f(x), \; 0

f(ax), \; a>1 \; SHRINK \; f(x) \; horizontally \; by \; a \; factor \; of \;\frac{1}{a}  .\\\\f(ax), \; 0

Applying the concept:

In the function y=5x^2-2, the effect that the number 5 have on the graph, as compared to the graph of y=x^2 is given below:

C.it stretches the graph vertically by a factor of 5

4 0
3 years ago
Read 2 more answers
.<br> Write the ratio. Explain what the ratio means.<br> 1.golf balls to golf tees
topjm [15]

Answer:

1: something because you didn't give another number. For example, 1:2 is 1 golf ball to 2 golf tees. A ratio is one thing comparing to another. Hope this helps! I learned this in 6th grade. Brainly if so!

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Four mathematicians, three physicists, and an engineer are to be seated equally spaced around a circular table. How many differe
Vesna [10]

First, we can choose the seats for the four mathematicians.  Then we seat the physicits, then the engineer.  There are 4! ways to seat the mathematicians, then 3! ways to seat the physicists, then 1! ways to seat the engineer.  But then we must divide by 8, because we can rotate the table, so there are 8!*4!*3!/8 = 725760 ways to seat everyone.

3 0
3 years ago
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