Ian's science book has 20 fewer pages than his math book. Ian's science book has 250 pages. Which equation can be used to calculate how many pages Ian's math book has? Let the variable p stand for the number of pages in the math book. A. 250 – 20 = p B. 250 = p + 20 C. 20 – p = 250 D. 250 = p – 20

Answers

Answer 1

Answer: the answer is simply C. 20-p=250

Answer 2

Answer: the math book would have 270 pages so the equation is the letter B.

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There are students in a small class. To make a team, the names of of them will be drawn from a hat. How many different teams of students are possible?

Answers

$e.g\na\ small\ class\ has\ 15\ students\ and\ we\ will\ choose\ 3-person\ team\n\nthe\ number\ of\ possible\ teams\ is\n\n {n \choose k}={15 \choose 3}= (15!)/(3!\cdot(15-3)!)= (12!\cdot13\cdot14\cdot15)/(2\cdot3\cdot12!) = (13\cdot2\cdot7\cdot3\cdot5)/(2\cdot3) = 13\cdot7\cdot5=455$

Are there any values of x or y which are not possible in the function

Answers

You must realize that it depends on the function ...
something that you've kept hidden from us.

What is the answer

show work

2(x - 1)^2 +4=16

Answers

Using quadratic formula:
2(x^2-2x + 1) +4=16
2x^2-4x+6=16
2x^2-4+6-16=0 (then divide both sides by 2)
X^2 -2x- 5= 0
Then use quadratic formula
Answer is;
x = 1 + square root of 6
x = 1 - square root of 6

A pharmacy wants to survey its customers to find out which brand of toothpaste they prefer. Which survey methods are likely to be biased?Choose all answers that are correct.

A.
A survey is sent to the customers who are on the pharmacy’s frequent buyer list.

B.
One hundred people from the pharmacy’s customer list are selected at random, called on the phone, and asked.

C.
Those customers who buy toothpaste with a coupon are selected, and the toothpaste brand they purchased is recorded.

D.
Every 10th customer who enters the pharmacy on 1 day is selected and asked.

Answers

C- Often times, if someone is using a coupon, they just want the lowest price and don't care what toothpaste is considered "the Best."

What are 3 other names for the solutions to a quadratic function

Answers

The solution of a quadratic function is also called as zeroes, roots and x - intercept.

What is solution of a quadratic function?

Solving quadratic function means finding a value (or) values of variable which satisfy the equation. The value(s) that satisfy the quadratic function is known as its roots/ zeroes and x - intercept.

Example-

$x^(2) -3x +2 = 0\n\nx^(2) -2x - x + 2 = 0\n\nx(x - 2) - 1(x - 2) = 0\n\n(x - 1)(x - 2) = 0\n\nx = 1 \, or \, 2$

Here, 1 and 2 are zeroes/ roots/ intercept of the quadratic function $x^(2) -3x +2 = 0$ .

Learn more about solution of a quadratic function here

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Zeros, roots, solutions, and solution sets are all 4 names

Solve with the quadratic formula
4×^2×+1=0

Answers

Answer:

Either x = + i/2 or x = i/2 is the solution for the given quadratic equation.

Step-by-step explanation:

Here, the given quadratic equation is: $4x^2 + 1 = 0$

Now, comparing the given equation with standard Quadratic Form, $ax^2 + bx + c = 0$

we get,a = 4, b =0 and c = 1

Now, the Quadratic Formula is given as:

$x = (-b \pm √(b^2 - 4ac) )/(2a)$

So, here the solution for the given expression is:

$x = (0 \pm √((0)^2 - 4(4)(1)) )/(2(4)) = x = (0 \pm √(-16) )/(8)\n\implies x = (0 \pm4i)/(8)\n\implies x = (0 + 4i)/(8) = (i)/(2) \nor, x = (0 - 4i)/(8) = (-i)/(2)$

Hence, either x = + i/2 or x = i/2 is the solution for the givenquadratic equation.

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