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3 years ago

PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER What is the slope of this line?

Mathematics

1 answer:

Alla [95]3 years ago

4 0

Choice two point from the graph (look at the picture).

(0, 2) and (3, -2).

The formula of a slope:

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

Substitute:

$m=\dfrac{-2-2}{3-0}=\dfrac{-4}{3}=-\dfrac{4}{3}$

Answer: The slope of this line is $\boxed{m=-\dfrac{4}{3}}$

You might be interested in

A recent report in a women magazine stated that the average age for women to marry in the United States is now 25 years of age,

MrRissso [65]

Answer: 0.0136

Step-by-step explanation:

Given : Mean : $\mu=\ 25$

Standard deviation : $\sigma= 3.2$

Sample size : $n=50$

The formula to calculate the z-score :-

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For x = 24

$z=\dfrac{24-25}{\dfrac{3.2}{\sqrt{50}}}=-2.20970869121\aprox-2.21$

The P-value = $P(z\leq24)=0.0135526\approx0.0136$

Hence, the probability that the sample mean age for 50 randomly selected women to marry is at most 24 years = 0.0136

8 0

4 years ago

Which sequence could be described by the explicit definition: a n = n 2 − 5

kirza4 [7]

The sequence represented by given explicit definition is:

-4,-1,4,11,20,....

Step-by-step explanation:

We will find the terms of the sequence to find the right sequence for given explicit definition

Given explicit formula is:

$a_n=n^2-5$

We will put n=1,2,3,4,5...... in the formula

So,

Putting n=1

$a_1=(1)^2-5\\=1-5\\=-4$

Putting n=2

$a_2=(2)^2-5\\=4-5\\=-1$

Putting n=3

$a_3=(3)^2-5\\=9-5\\=4$

Putting n=4

$a_4=(4)^2-5\\=16-5\\=11$

so, comparing the values with given options we can conclude that

The sequence represented by given explicit definition is:

-4,-1,4,11,20,....

Keywords: Sequence, Explicit definition

Learn more about sequences at:

#LearnwithBrainly

5 0

3 years ago

His recipe makes 6 pancakes.

Elina [12.6K]

Times everything by 4.

8 0

3 years ago

Any help I don’t really understand this

DENIUS [597]

Comment
The point is how to remove the brackets when a minus sign is on the left hand side. A second problem is how to get all the terms on one side over to the other.

Step One
Remove the brackets on the left side. This is an absolutely necessary step in the rest of your mathematical studies. What was done in this step affects all three terms on the inside of the brackets. Minus signs are real bad things to misuse. Study carefully how to change the signs when multiplying by a minus.

Rule a minus sign outside the brackets, when multiplied by anything inside the brackets, change the <span>sign to the opposite of what it was</span>.

-20 + 4x + 5x^2 = 20 - 7x^2

Comment
Before doing the last step, look at the answers. Two of them are 40. That is the answer for 20 and -20 when transferred. It's 40 which is a plus. So you should be transferring from left to right.

Step Two
Transfer from left to right.
-20 + 4x + 5x^2 = 20 - 7x^2 Add 20 to both sides.
4x + 5x^2 = 20 + 20 - 7x^2 Subtract 4x from both sides.
5x^2 = 40 - 7x^2 - 4x Subtract 5x^2 from both sides
0 = 40 - 7x^2 - 5x^2 - 4x
0 = 40 - 12x^2 - 4x Now you have to put them in the right order.

0 = 40 - 4x - 12x^2 <<<<< Answer

8 0

4 years ago

A deck of ordinary cards is shuffled and 13 cards are dealt. What is the probability that the last card dealt is an ace?

alexandr1967 [171]

Answer:

The probability that the last card dealt is an ace is $\frac{1}{13}$ .