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2 years ago

Let f(x) = 3(x - 6)^2 + 1. What is the range of f? Express your answer with interval notation.

Mathematics

2 answers:

Dafna1 [17]2 years ago

5 0

X is an element of [6,+ inf [

Lera25 [3.4K]2 years ago

3 0

F(x) = 3(x-6)²+1
This is an up-opening parabola with vertex (6,1).
Range: [1,+∞)

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Probability of pulling a green marble out of a bag of coloured marble is 2:5 if you were to pull coloured marbles out of the bag

Slav-nsk [51]

Answer: 171 green marbles

Step-by-step explanation: There are 7 total marbles so 100/7 equals 14.28

Then there is a 2 out of 7 total tries so 14.28 * 2 equals 28.57% chance to get a green marble.

600 * 0.2857 = 171.41 marbles but you cant get half a marble so 171 green marbles.

6 0

3 years ago

A salesman's commission on 150,000 sale is 3000. what is the percent?

fomenos

The percentage is 98%.

You can find this by multiplying 98% (0.98) and 150,000 to get 147,000. Then subtract 147,000 from 150,000 to get 3,000.

I hope this helps!

8 0

3 years ago

What is the length of line segment KJ?

Karolina [17]

Please consider the attached file.

We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.

We will use Pythagoras theorem to solve for KJ as:

$KJ^2=KM^2+MJ^2$

$KJ^2=6^2+3^2$

$KJ^2=36+9$

$KJ^2=45$

Now we will take positive square root on both sides:

$\sqrt{KJ^2}=\sqrt{45}$

$KJ=\sqrt{9\cdot 5}$

$KJ=3\sqrt{5}$

Therefore, the length of line segment KJ is $3\sqrt{5}$ and option D is the correct choice.

5 0

3 years ago

A rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeter

maksim [4K]

Answer:

25%.

Step-by-step explanation:

Let E be the event that the dart lands inside the triangle.

We have been given that a rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeters.

We know that probability of an event represents the chance that an event will happen.

$\text{Probability}=\frac{\text{Favorable no. of events}}{\text{Total number of possible outcomes}}$