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Nezavi [6.7K]
3 years ago
13

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

Mathematics
1 answer:
SVEN [57.7K]3 years ago
7 0
(g-f)(x)=g(x)=f(x)

(g-f)(x)=6x-4+x^2

(g-f)(x)=x^2+6x-4  then:

(g-f)(3)=3^2+6*3-4

(g-f)(3)=9+18-4

(g-f)(x)=23
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out of 10 student, the favorite drink of 7 is Coke and the favorite drink of of the rest is fanta. a teacher picks a student at
CaHeK987 [17]

Answer:

a) 0.7

b) 0.3

c) 0

d) 1

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

(a) Coke

Out of 10, 7. So

p = \frac{7}{10} = 0.7

(b) fanta

3 out of 10. So

p = \frac{3}{10} = 0.3

(c) neither Coke nor fanta

7 Coke, 3 fanta, so all 10 are either coke or fanta. Thus:

p = \frac{0}{10} = 0

(d) either Coke or fanta​

All 10. Thus:

p = \frac{10}{10} = 1

8 0
3 years ago
What does Y=???? Plz help me been stuck on this
garri49 [273]

9514 1404 393

Answer:

  y = 8

Step-by-step explanation:

It can be useful to write down the values of corresponding parts of the figures. This can help you see the ratio between corresponding measures. Here, we're concerned with sides.

  AB = ?, FE= 6

  BC = 10, EC = 5 . . . . . a ratio of 2:1

  CD = ?, CG = ?

  DA = y, GF = 4

So, the proportionality of the sides in these similar figures means ...

  y/4 = 10/5

  y = 4×10/5

  y = 8 . . . . multiply by 4

3 0
3 years ago
Vector A⃗ has magnitude 5.00 and is at an angle of 36.9∘ south of east. Vector B⃗ has magnitude 6.40 and is at an angle of 20.0∘
timama [110]

Answer:

3.9984i-3.0021j

Step-by-step explanation:

Due to the fact that we are only asked for the components on A, we will focus on that information.

The first thing we need to do is to dimension the magnitud of A as a hypotenuse of a right triangle. As the vector is ponting in south-east direction, we can asume that it´s (i) component will be positive and it´s (j) component will be negative.

Now, using trigonometric functions we can find the components of the vector A by multiplying the magnitude by -sin(x) for (j) and cos(x) for (i).

-5sin(36.9)=-3.0021

(this component is negative due to the fact that the vector is pointing down)

5cos(36.9)= 3.9984

Now we write in the correct notation x(i) + y(j)

3.9984i-3.0021j

8 0
4 years ago
How do you answer the picture below?
3241004551 [841]

Answer:

42cm²

Step-by-step explanation:

because if the perimeter of the rectangle is 28 then the length is 5, 5 - 11 = 6, the formula for finding the trapezium is to add the 2 parallel sides, half them, then times them with the length so your sum will look like this, 5+9=14, (i knew the other side was 9 as the length of AB is the same as the length of FC, which is the one of the parallel sides of the trapezium) then we do 14÷2=7, finally we times 7 by 6 which is 42cm²

3 0
3 years ago
What is the result when the number 16 is decreased by 25%
dlinn [17]

Answer:

4

Step-by-step explanation:

Decreasing a percentage from a number can be done by multiplying said number and percentage together. That being said:

16 * 25% = 4

Meaning that the result of the number 16 being decreased by 25% is 4

7 0
2 years ago
Read 2 more answers
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