MATHEMATICS HIGH SCHOOL

A bottle rocket that was made in science class had a trajectory path that followed the quadratic equation y=-x^2+4x+6. What is the turning point of the rocket's path?1) (1,5)
2) (2,10)
3) (-2,-10)
4) (1,-5)

Answers

Answer 1
Answer: y=-x^2+4x+6 \n \na =-1, \ b = 4 , \ c=6 \n \n The \ vertex \ is \ (x,f(x)) \n \nx=(-b)/(2a) =(-4)/(2\cdot (-1))=(-4)/(-2)=2\n \n f(2)=-x^2+4x+6 =-2^2+4 \cdot 2+6 =-4+8+6=10 \n \n The \ vertex \ is \ (2,10) \n \n \n Answer: \ 2) \ \ (2,10)

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A large bin of mixed nuts contains peanuts, cashews, almonds, and walnuts. Luke scoops out a bowl full of nuts and counts how many of each type he has: 18 peanuts, 8 cashews, 10 almonds, and 9 walnuts. Armando scoops out a bowl of 30 nuts. About how many should he expect to be peanuts?

A.4

B.6

C.9

D.12

Answers

D.12

In total Luke found 18 peanuts out of 45 nuts- a ratio of 2:5

Armando will expect to find a ratio of 2:5 which is 12 peanuts out of 30 nuts.

Answer: D. 12

Step-by-step explanation:

I just took the test

WILL GIVE BRAINLIESTA shoe factory produces 1.81 × 104 pairs of shoes each month. Estimate how many pairs of shoes the factory will produce if it maintains that rate for 10 years. (There are 1.2 × 102 months in 10 years.) 1. Estimate each coefficient: 1.81 ≈ 2 1.2 ≈ 1 2. Write the product: (2 × 104)(1 × 102) The shoe factory would make approximately ×106 pairs of shoes in 10 years.

Answers

Answer:

2

Step-by-step explanation:

It said it was 2 in edg. Have a great day.

Answer:

2 is the answer on edge 2021

Step-by-step explanation:

What is the sum of the given polynomials in standard form?
(x2 – 3x) + (–2x2 + 5x – 3)

Answers

Combine like terms. -x2 +2x -3 is the answer.

Answer:

-x^2+2x-3

Step-by-step explanation:

The given polynomial expression is

(x^2-3x)+(-2x^2+5x-3)

We regroup the terms in the polynomial to obtain;

x^2-2x^2-3x+5x-3

We combine like terms to get;

-x^2+2x-3

When we arrange the terms in the polynomial in descending powers of x, then we say it is in standard form.

The simplified polynomial in standard form is  -x^2+2x-3

The human resources manager at a company records the length, in hours, of one shift at work, X. He creates the probability distribution below. What is the probability that a worker chosen at random works at least 8 hours?

Answers

With the created probability distribution below, the answer to the question you have presented above would be .6. The probability that a worker chosen at random works at least 8 hours would be  .6. 

The probability that a worker chosen at random works at least 8 hours is 0.84

Data obtained from the question

  • Probability of 6 hours = 0.02
  • Probability of 7 hours = 0.11
  • Probability of 8 hours = 0.61
  • Probability of 9 hours = 0.15
  • Probability of 10 hours = 0.08
  • Probability ofatleast8hours=?

How to determine the probability of at least 8 hours

At least 8 hours simply means 8 hours and above

Thus, the probability of at least 8 hours can be obtained as illustrated below:

P(At least 8 hours) = P(8) + P(9) + P(10)

P(At least 8 hours) = 0.61 + 0.15 + 0.08

P(At least 8 hours) =0.84

Learn more about probability:

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Which characteristics do a rhombus and a rectangle always have in common?

Answers

Both a rectangle and a rhombus have two sets of parallel sides.
the both are shapes and have four parelle sides

Find the slope of the line passing through the points (2,-3) and (1,-5) .

Answers

Answer:

The slope of the line passing through the points (2, -3) and (1, -5) is 2.
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