MATHEMATICS COLLEGE

What is the domain of x = 4?​

Answers

Answer 1
Answer: The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values.
Answer 2
Answer:

Step-by-step explanation:

since x=4 is a vertical line,there is no y-intercerpt and the slope is undefined.

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Which set of ordered pairs could represent the same function as y = x2 ?A (1, 1), (2, 4), (3,6)
B (1,1),(3,9), (7,49)
© (1,2), (4,16), (8, 64)
D (4,8), (5, 25), (6,36)

Answers

Answer:

B (1, 1),(3, 9), (7, 49)

Step-by-step explanation:

Given function:

  • y = x²

Let's verify which set of pairs are same with the given function:

A....................

  • (1, 1) - yes
  • (2, 4) - yes
  • (3, 6)  - no, 6≠ 3²

B....................

  • (1, 1) - yes
  • (3, 9) - yes
  • (7, 49)  - yes

C....................

  • (1, 2)- no, 2≠ 1²
  • (4, 16) - yes
  • (8, 64)  - yes

D....................

  • (4, 8) - no, 8 ≠ 4²
  • (5, 25) - yes
  • (6, 36) - yes

Is the point (-2, 5) a solution to the equation 2x + 5y = 0?

Answers

Answer:

No

Step-by-step explanation:

substitute -2 for 'x' and 5 for 'y'

2(-2) + 5(5) = 0?

-4 + 25 = 21, not 0

A pharmaceutical company ran a clinical trial to test if drug X cures disease Y. A statistician named Z who is taking BIO 211 was given a task to perform a null hypothesis test. The test was perfect, and the null hypothesis was rejected at the alpha = 0.05 significance level. However, unbeknownst to Z, the company ran 39 extra clinical trials and secretly hired Z’s classmates to evaluate data obtained from each independent trial with the same null hypothesis test at the same significance level. a. What is the null hypothesis? Drug X does cure disease Y Drug X does not cure disease Y

Answers

Answer:

The null hypothesis is A) Drug X does cure disease Y

Step-by-step explanation:

Consider the provided information.

If there is no statistical significance in the test then it is know as the null which is denoted by H_0, otherwise it is known as alternative hypothesis which denoted by H_a.

A pharmaceutical company ran a clinical trial to test if drug X cures disease Y.

Since, claim is drug X cures disease.

Therefore, the null hypothesis is A) Drug X does cure disease Y

At a farm, there are two huge pits for storing hay. 90 tons of hay is stored in the first pit, 75 tons in the second pit. Then, three times as much hay was removed from the first pit as was removed from the second pit. After that, there was half as much hay in the first pit as there was now in the second pit. How many tons of hay was taken from the first pit?

Answers

Answer:

63 tons

Step-by-step explanation:

The problem statement asks for the tons of hay removed from the first pit. It is convenient to let a variable (x) represent that amount. This is said to be 3 times the amount removed from the second pit, so that amount must be x/3.

The amount remaining in the first pit is 90-x.

The amount remaining in the second pit is 75 -x/3.

Since the first pit remaining amount is half the second pit remaining amount, we can write the equation ...

... 90 -x = (1/2)(75 -x/3)

... 180 -2x = 75 -x/3 . . . . multiply by 2

... 105 - 2x = -x/3 . . . . . . subtract 75

... 315 -6x = -x . . . . . . . . multiply by 3

... 315 = 5x . . . . . . . . . . . add 6x

... 63 = x . . . . . . . . . . . . . divide by 5

63 tons of hay were taken from the first pit.

_____

Check

After removing 63 tons from the first pit, there are 27 tons remaining. After removing 63/3 = 21 tons from the second pit, there are 54 tons remaining. 27 is half of 54, so the answer checks OK.

Please help me ASAP ASAP ASAP

Answers

Answer:

d = 4√5

Step-by-step explanation:

d² = 8² + 4²

d² = 64 + 16

d² = 80

d =√80

d = √(16 * 5)

d = 4√5

Answer:

Step-by-step explanation:

hard to see graph ....

Which of the following constants can be added to x2 + x to form a perfect square trinomial?

Answers

Answer:

x^2+x + 1/4

Step-by-step explanation:

x^2+x

Take the coefficient of x

1

divide by 2

1/2

Square it

(1/2)^2 = 1/4

Add this to make a perfect square trinomial
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