If b^2 - 4ac < 0, then the roots of the equation ax^2 +bx +c =0 must be?

Explain why a graph that fails the vertical-line test does not represent a function. Be sure to use the definition of a function

ArbitrLikvidat [17]

Explanation:

A function is a relationship where any one x-value/input only has one corresponding y-value/output. (note: a y-value can have multiple x-values).

> This can be called "assigning one y-value to every x element".

The vertical line test places a line that would connect all y-values of an x-value (that is, if it were to have multiple y-values). If multiple points can be found along the vertical line, it is, therefore, by the definition of a function, not a function. (Because an x-value will have more than one y-value).

So, a graph that fails the vertical-line test does not represent a function because an x-value will correspond with more than one y-value.

hope this helps!!

4 0

1 year ago

QT 1.

erma4kov [3.2K]

1: 3.2
2: B. 1.6
3: C. 6.4
4: D. 17.92

I'm unable to see the table for 5, are you able to attach it?

5 0

3 years ago

3x-7=4x+10 show the steps pleeease

Fudgin [204]

Answer:

-17

Step-by-step explanation:

3x-7=4x+10

Add 7 to both sides & simplify

3x-7=4x+10

+7 +7

3x=4x+17

Subtract 4x from both sides & simplify

3x=4x+17

-4x -4x

-x=17

*Negative x equals -1*

Divide both sides by -1 & simplify

$\frac{-x}{-1} =\frac{-17}{-1}$

$x=-17$

3 0

3 years ago

Read 2 more answers

Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. Thi

Dovator [93]

Complete question:

Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby this mention is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect so the probability of a girl is 0.5. Assume that the group consists of 36 couples.

A) Find the mean and standard deviation for the number of girls in groups of 36 births.

B) Use the range rule of thumb to find the values separating results that are significantly low and significantly high.

C) Is the result of 33 girls significantly high? A result of 33 girls would suggest the method is effective or is not effective?

Answer:

a) mean = 18

Standard deviation =3

b) low range = 12

High range = 24

c) The result of 33 girls is significantly high. Yes, the method is effective.

Step-by-step explanation:

Given:

p = 0.5

n = 36

a) The mean is the product of n and p

Mean u = np

u = 36 * 0.5 = 18

The standard deviation is the square root of the product of n and p&q.

S.d ó = $\sqrt{npq}$

$= \sqrt{np(1-p)}$

$= \sqrt{36(0.5)(1-0.5)} = \sqrt{9} = 3$

b) To find the range rule of thumb:

• For low range

Low range = u - 2ó

= 18 - (2 * 3)

= 12

• High range

= u + 2ó

= 18 + (2*3)

= 24

c) The result is significantly high, because 33 is greater than 24 girls.

A result of 33 girls would prove the method as effective.

8 0

2 years ago

Which relationship describes angles 1 and 2? Select each correct answer. A adjacent angles B complementary angles C vertical ang

Scrat [10]

The correct answer for this question is this one:
- A adjacent angles
-D supplementary angles

The relationship that describes angle 1 and angle 2 is that they are adjacent angles -- at the same time they are also supplementary angles.
Hope this helps answer your question and have a nice day ahead.

3 0

2 years ago

Read 2 more answers