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lisov135 [29]
3 years ago
10

Find the range of each function when the domain is {-3, -2, 2, 3} f(x)=5x-6​

Mathematics
1 answer:
saw5 [17]3 years ago
7 0

Answer:

-21, -16, 4, 9

Step-by-step explanation:

-3: f(-3) = 5(-3)-6 = -15-6 = -21

-2: f(-2) = 5(-2)-6 = -10-6 = -16

2: f(2) = 5(2)-6 = 10 - 6 = 4

3: f(3) = 5(3)-6 = 15 - 6 = 9

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A council of three people is to be chosen from a group of 4 lawyers, one artist, and 3 teachers
padilas [110]

Answer: 0.2857

<u>Step-by-step explanation:</u>

At least one teacher means exactly 1 or exactly 2 or exactly 3 teachers. Find the probability of each and add them up.

\text{One teacher}:\dfrac{3\ teachers}{8\ total\ people}\times\dfrac{5\ others}{7\ people}\times \dfrac{4\ others}{6\ people}=\dfrac{5}{28}=0.1786\\\\\\\text{Two teachers}:\dfrac{3\ teachers}{8\ total\ people}\times\dfrac{2\ teachers}{7\ people}\times\dfrac{5\ others}{6\ people}=\dfrac{5}{56}=0.0893\\\\\\\text{Three teachers}:\dfrac{3\ teachers}{8\ total\ people}\times\dfrac{2\ teachers}{7\ people}\times\dfrac{1\ teacher}{6\ people}=\dfrac{1}{56}=0.0179

One teacher + Two teachers + Three teachers = 0.2857

4 0
3 years ago
Divide 270 in the ratio 3:2:1​
Contact [7]

3 + 2 + 1 = 6

270 ÷ 6 = 45

45 × 3 = 135

45 × 2 = 90

45 × 1 = 45

3 : 2 : 1

135 : 90 : 45

6 0
3 years ago
Which parabola has the graph shown?<br><br> I think the answer is C. however, I'm not 100% sure.
NemiM [27]

x=m(y-k)^2+h\\\\(h,\ k)-the\ vertex

We have the vertex (-4, -1), therefore we have:

x=(y-(-1))^2-4\ \ \ |+4\\\\(x+4)=(y+1)^2

7 0
3 years ago
PLEASE HELP ME WITH THIS
Vedmedyk [2.9K]
Let's start with the drawing. (See the drawing at the bottom of this answer.)

Draw a vertical segment.
At the bottom endpoint, draw a horizontal segment to the right.
The angle at the bottom left is a right angle.
So far this should look like an "L" shape.
The vertical segment is the wall, and the horizontal segment is the ground.

Now draw a segment that connects the right endpoint of the horizontal segment and the top endpoint of the vertical segment. Now you have a right triangle. The diagonal segment represents the ladder. The diagonal segment is the hypotenuse. Label the diagonal segment, the hypotenuse, 12 ft.
Label the vertical segment, the wall, 11.8 ft.

The angle at the bottom right is A. It is the angle the ladder makes with the ground. This angle cannot be greater than 75 degrees.

Now we use trigonometry to find the measure of angle A.

For this right triangle, and its angle A, you have a hypotenuse that measures 12 ft, and an opposite leg that measures 11.8 ft.
We need to find angle A.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.

\sin A = \dfrac{opp}{hyp}

\sin A = \dfrac{11.8}{12}

\sin A = 0.98333

Since the sine of angle A equals 0.98333, we use the inverse sine function to find the measure of angle A.

A = \sin^{-1} 0.98333

A = 79.5^\circ

Answer:
The angle the ladder makes with the ground is 79.5 degrees which is greater than 75 degrees, so the ladder it will be unsafe in this position.


           |\
           |  \
           |    \
           |      \
opp = |         \ hyp = 12
= 11.8  |           \
           |             \
           |_______\  A
3 0
3 years ago
If 19 in 1000 people like apples and there are 1.4 million people how many of them like apples
PtichkaEL [24]
Apples are gross so none. plus most people have braces so they couldnt anyway
3 0
3 years ago
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