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3 years ago

Please help me find the slope of the line graphed below!

Mathematics

2 answers:

valentinak56 [21]3 years ago

8 0

Answer:

slope = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line

m = $\frac{-3-0}{0+1}$ = $\frac{-3}{1}$ = - 3

CaHeK987 [17]3 years ago

3 0

Here it is described. Its really easy.

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Give an example of a set of five ordered pairs. Determine the domain and range of the set.

sergey [27]

DOMAIN:

Set of allowable inputs (set of 1st elements of the ordered pairs in relation)
X point
AKA the input

DEFINE INPUT:

A number that'll be used in a function rule to determine the value of the output

RANGE:

Set of possible outputs (set of 2nd elements of the ordered pairs in relation)
Y point
AKA the output

DEFINE OUTPUT:

Result of applying a function rule to the value of ani input

ORDERED PAIRS:

(-1, 7): -1 is the domain & 7 is the range

(3, 5): 3 is the domain & 5 is the range

(4, 9): 4 is the domain & 9 is the range

(-6, -10): -6 is the domain & -10 is the range

(-2, 8): -2 is the domain & 8 is the range

Hope this helps you!!! :)

8 0

2 years ago

Practice with Conversions

mylen [45]

Answer:

1) Newbury Park → The distance is accurate.

2) Thousand Oaks → The distance is not accurate.

3) Los Angeles → The distance is not accurate.

Step-by-step explanation:

It is important to remember that:

$1\ mile=1.609\ kilometers$

Knowing this, you can make the corresponding conversions:

1) Newbury Park

10 miles to kilometers:

$(10\ mi)(\frac{1.609\ km}{1\ mi})=16.0\ km$

The distance shown in that California highway sign is accurate.

2) Thousand Oaks

13 miles to kilometers:

$(13\ mi)(\frac{1.609\ km}{1\ mi})=20.9\ km$

The distance shown in that California highway sign is not accurate.

3) Los Angeles

55 miles to kilometers:

$(55\ mi)(\frac{1.609\ km}{1\ mi})=88.4\ km$

The distance shown in that California highway sign is not accurate.

3 0

3 years ago

Tom is the deli manager at a grocery store. He needs to schedule employees to staff the deli department at least 260 person-hour

Finger [1]

The expression that could best describe the statement would be " 40 n + 20 $\geq$ 260.

3 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the point -3/5 and has a slope of -2

Gemiola [76]

Answer:

y = -2x - 1

Step-by-step explanation:

y = mx + b

slope = m

y = -2x + b

5 = -2x * -3 + b

5 = 6 + b

-1 = b

y = -2x - 1

Let me know if I'm wrong :)

8 0

3 years ago

A population of rabbits in a lab, p(x), can be modeled by the function p(x) = 20(1.014)x , where x represents the number of days

Nitella [24]

Answer:

20 = initial population of the rabbits

1.014 = growth rate of the rabbits

the average rate of change from day 50 to day 100 is 0.8

Step-by-step explanation:

A population of rabbits in a lab, p(x), can be modeled by the function

p(x) = 20(1.014)^x

This model is exponential. Where 20 = initial population of the rabbits

1.014 = growth rate of the rabbits with 1.4% increase rate of the rabbits

To find the average rate of change from day 50 to day 100,

find the population p(50) and p(100). Subtract them and divide by 100 - 50 = 50.

p(50) = 20(1.014)50 = 40.08...

p(100) = 20(1.014)100 = 80.32...

(80.32 - 40.08) / (100 - 50) = 40.24/50 = 0.8048. which is approximately 0.8 to the nearest tenth.

The rate of change is 0.8.

7 0

3 years ago