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3 years ago

What is the slope of the line joining (-4,7) and (-5,0)?

Mathematics

2 answers:

Inga [223]3 years ago

6 0

Answer:

slope = 7

Step-by-step explanation:

To calculate the slope m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 7) and (x₂, y₂ ) = (- 5, 0)

m = $\frac{0-7}{-5+4}$ = $\frac{-7}{-1}$ = 7

MatroZZZ [7]3 years ago

5 0

Answer:

Step-by-step explanation:

First, take (-4,7). That is your x1 and y1 numbers. Do the same thing for (-5,0) except, it will be x2 and y2.

Second, subtract y1 from y2 all over x1 from x2

EX: 0-7 m=7

-5-(-4)

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At the start of 2014, Mike's car is worth 12000. the car depreciates by 30 percent every year. how much is his car worth in 2017

Anarel [89]

Answer:

$4,116

Step-by-step explanation:

Worth of Mike's car at the start of 2014 = $12,000

If the car is said to depreciates every year by 30% = 30/100 = 0.3

The worth of the car at the start of 2017 is what we are to determine.

This means that the car depreciated by 30% (0.3) for 3 years since 2014 (2017 - 2014 = 3 yrs)

The worth at the start of 2017 would be calculated as follows:

12,000 × (1 - 0.3)³

= 12,000 × (0.7)³

= 12,000 × 0.343

= 4,116

Worth of the car at the start of 2017 would be $4,116

4 0

2 years ago

Julio and David were in Target and decided to check out the clearance section. They found pencils and erasers that were on sale

Sati [7]

Answer:

Cost of one pencil: $\$0.07$

Cost of one eraser: $\$0.03$

Step-by-step explanation:

Let be "p" the cost in dollars of one pencil and "e" the cost in dollars of one eraser.

Based on the information given in the exercise, you can set up the following system of equations:

$\left \{ {{4p+3e=0.37} \atop {3p+4e=0.33 }} \right.$

You can use the Elimination Method to solve the system of equations.

Multiply the first equation by -3 ad the second one by 4. Then add the equations and solve for "e":

{ $\left \{ {{-12p-9e=-1.11} \atop {12p+16e=1.32}} \right.\\..........................\\7e=0.21\\\\e=0.03$

Substitute the value of "e" into any original equation and solve for "p":

$4p+3(0.03)=0.37\\\\p=\frac{0.28}{4}\\\\p=0.07$

5 0

2 years ago

Solve the compound inequality 6b < 24 or 4b + 12 > 4.

myrzilka [38]

The answer is a. b>-2 because

6b<24
b< 24/6
b<4

And

4b+12>4
4b>4-12
4b>-8
b>-8/4
b>-2

3 0

2 years ago

Which of the following is the solution to the inequality below <br><br> -5x - 10 < 20

postnew [5]

Answer:

x > -6

Step-by-step explanation:

-5(-4) - 10 < 20

20 - 10 < 20

10 < 20

4 0

2 years ago

The Range Rule of Thumb roughly estimates the standard deviation of a data set as _______.

maw [93]

Answer:

Option A)

$s = \dfrac{\text{Range}}{4}$

Step-by-step explanation:

Range Rule of Thumb

The range Rule of thumb states that the range is four times the standard deviation.
The standard deviation is a measure of dispersion.

$\text{Range = Maximum - Minimum}\\\text{s: Standard Deviation}\\\text{Range rule of Thumb:}\\\text{Range} = 4\times s\\\\s = \dfrac{\text{Maximum - Minimum}}{4}$

Thus, the correct answer is

$s = \dfrac{\text{Range}}{4}$

4 0

2 years ago