All categories

3 years ago

Slope of this graph.

Mathematics

1 answer:

kompoz [17]3 years ago

3 0

Answer:

$m=-3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

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

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 4)

Point (2, -2)

Step 2: Find slope m

Substitute: $m=\frac{-2-4}{2-0}$
Subtract: $m=\frac{-6}{2}$
Divide: $m=-3$

And we have our final answer!

You might be interested in

Taye recruits two people to be election campaign volunteers. The next week he ask each of those volunteers to recruit two more c

jeka94

Using a geometric sequence, it is found that:

a) For the first 5 weeks, the numbers are: 2, 4, 8, 16, 32

b) Hence some of the volunteers can stop recruiting new volunteers during the 7th week.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term.

For this problem, on the first week there are 2 people, and since each new people involve two more, the common ratio is of 2, hence the parameters for the geometric sequence are:

$a_1 = 2, q = 2$

Hence the number of people after n weeks is:

$a_n = 2 \times 2^{n - 1}$

For the first 5 weeks, the numbers are:

$a_1 = 2 \times 2^{1 - 1} = 2$

$a_2 = 2 \times 2^{2 - 1} = 4$

$a_3 = 2 \times 2^{3 - 1} = 8$

$a_4 = 2 \times 2^{4 - 1} = 16$

$a_5 = 2 \times 2^{5 - 1} = 32$

There will be 150 volunteers when $a_n = 150$ , hence:

$2 \times 2^{n - 1} = 150$

$2^{n-1} = 75$

$\frac{2^n}{2} = 75$

$2^n = 150$

$n = 7...$

The above is because 2^7 = 128 and 2^8 = 256, and 128 < 150 < 256.

Hence some of the volunteers can stop recruiting new volunteers during the 7th week.

More can be learned about geometric sequences at brainly.com/question/11847927

#SPJ1

3 0

1 year ago

how many ounces of a 24% alcohol solution and a 29% alcohol solution must be combined to obtain 90 ounces of a 25% solution

atroni [7]

Answer:

agregar 14 o

Step-by-step explanation:

8 0

3 years ago

Hey can you help me answer this question by giving me the answer?

Leto [7]

The value of f(a)=4-2a+6 $a^{2}$ , f(a+h) is $6a^{2} +6h^{2} -2a-2h+12ah$ , [f(a+h)-f(a)]/h is 6h+12a-2 in the function f(x)=4-2x+6 $x^{2}$ .

Given a function f(x)=4-2x+6 $x^{2}$ .

We are told to find out the value of f(a), f(a+h) and [f(a+h)-f(a)]/hwhere h≠0.

Function is like a relationship between two or more variables expressed in equal to form.The value which we entered in the function is known as domain and the value which we get after entering the values is known as codomain or range.

f(a)=4-2a+6 $a^{2}$ (By just putting x=a).

f(a+h)== $4-2(a+h)+6(a+h)^{2}$

=4-2a-2h+6( $a^{2} +h^{2} +2ah$ )

=4-2a-2h+6 $a^{2} +6h^{2} +12ah$

= $6a^{2} +6h^{2}-2a-2h+12ah$

[f(a+h)-f(a)]/h=[ $6a^{2} +6h^{2}-2a-2h+12ah$ -(4-2a+6 $a^{2}$ )]/h

= $(6a^{2} +6h^{2} -2a-2h+12ah)/h$

= $(6h^{2} -2h+12ah)/h$

=6h+12a-2.

Hence the value of function f(a)=4-2a+6 $a^{2}$ , f(a+h) is $6a^{2} +6h^{2} -2a-2h+12ah$ , [f(a+h)-f(a)]/h is 6h+12a-2 in the function f(x)=4-2x+6 $x^{2}$ .

Learn more about function at brainly.com/question/10439235

#SPJ1

7 0

2 years ago

frank and his family drove 6 hours every day during a road trip which graph best represents y the total of hours driven in x day

Marta_Voda [28]

Answer:Where is the graph?

Step-by-step explanation:

6 0

3 years ago

Darwin borrows $3,000 at an

aksik [14]

Answer:

Interest = $600

Step-by-step explanation:

Interest = principal x rate as decimal x time

Interest = 3,000 x 0.04 x 5

Interest = 600

3 0

2 years ago