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2 years ago

Which of the lines below has an undefined slope?

Mathematics

2 answers:

MAXImum [283]2 years ago

7 0

The answer is b because once it's a vertical line it does not have a run for y coordinate

irinina [24]2 years ago

4 0

Answer:

The correct option is B.

Step-by-step explanation:

The slope of a line is calculated as

$m=\frac{y_2-y_1}{x_2-x_1}$

The slope of line is undefined if there is no change in the values of x. It is possible only in the case of vertical line.

Graph B represents a vertical line. So the slope of the line in graph B is

$m_B=\infty$

The slope of line B is undefined, therefore the correct option is B.

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A Galapagos cactus finch population increases by half every decade. The number of finches is

Angelina_Jolie [31]

Answer:

The number of fringes at $d=-2$ is given as 20.

Step-by-step explanation:

Question

A Galapagos cactus finch population increases by half every decade. The number of finches is modeled by the expression

where d is the number of decades after the population was measured. Evaluate the expression for d = −2

Given :

The number of finches is modeled by the expression :

⇒ $45\cdot1.5^d$

where $d$ is the number of decades after the population was measured.

To evaluate the expression for d=-2

Solution:

In order to evaluate the given expression to find the number of finches at $d=-2$ , we will plugin $-2$ for $d$ in the expression and simplify it.

Plugging in $d=-2$ in the expression:

⇒ $45\cdot 1.5^{-2}$

Using negative exponent property. [ $a^{-x}=\frac{1}{a^x}$

⇒ $45\cdot \frac{1}{1.5^2}$

⇒ $45\cdot \frac{1}{2.25}$

⇒ $20$ (Answer)

Thus, the number of fringes at $d=-2$ is given as 20.

This means the number of fringes two decades ago was 20.

6 0

2 years ago

Find the numerical values of -3|x|+2x-1 if x=-5. PLSSSS HELP

Kisachek [45]

Answer:

Step-by-step explanation:

Since x = -5, we can replace x with it's numerical -5, right? The problem tells you that x is equal to -5. So, just replace any x you see with -5.

So in this case,

$-3|x|+2x-1$

turns into:

$-3|(-5)|+2(-5)-1$

You can use a calculator or solve it by hand to see what the answer is.

$-3|(-5)|+2(-5)-1\\-3(5)+2(-5)-1\\-15+(-10)-1\\-25-1\\-26$

3 0

1 year ago

A biased dice was rolled and the scores recorded in the table below

dusya [7]

Given:

The table of score and frequency.

To find:

The probability that on the next roll the score will be 4.

Solution:

From the given table it is clear that the score 4 occurs 10 times.

Number of times the dice was rolled = 17 + 24 + 23 + 10 + 16 + 30

= 120

The probability that on the next roll the score will be 4 is

$\text{Required probability}=\dfrac{\text{Number of times 4 occurs}}{\text{Number of times the dice was rolled}}$

$\text{Required probability}=\dfrac{10}{120}$

$\text{Required probability}=\dfrac{1}{12}$

Therefore, the required probability is $\dfrac{1}{12}$ .

8 0

2 years ago

Bill is planning a trip from detroit to london with a stopover in new york. his flight to new york is 2 hours long. if his stopo

Anon25 [30]

He will land in london at 1am

4 0

2 years ago

Ms. Smith wants to do a statistical analysis on students' final examination scores in her math class for the past year. Should s

Allushta [10]

$\tt{Hello~There!}$

Answer:

$\tt{Ms.~ Smith~ should~consider~ her~ data~ as~ a~ population~ data~ set.

}$

Step-by-step explanation:

Take into account that a population data set contains all members of the group and a sample data set contains only a subpart of the group.

In this case, Ms. Smith can take the scores of all students of the math class, due to this group is not enough big to consider to take a subpart.

Hence, Ms. Smith should consider her data as a population data set.

4 0

2 years ago