Write an equation of the line passing through ​(-2​,1​) and ​(3​,2​). Give the answer in standard form

Answer:

a. Write an equation that represents the amount of cleaner in the tank after x minutes

y= -4x + 128

b. How much cleaner is in the tank when the cleaning begins?

128

c. After how many minutes is the tank empty?

The tank is empty in 32 minutes

Answer:

The relation which is a function is the one in which none of the first coordinates repeated.

Step-by-step explanation:

We need slope/rate of the table

[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{4-2}{6-3}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{2}{3}[/tex]

Slopes of all options

Option D is correct

Option

Answer: true

Step-by-step explanation:

Answer:

1 135

2 45

3 135

4 45

Step-by-step explanation:

think in terms of supplimentary angles. those that add up to 180

Answer:

Complete the SquareSolve for x over the real numbers:(x - 8)^2 - 100 = 0

Add 100 to both sides:(x - 8)^2 = 100

Take the square root of both sides:x - 8 = 10 or x - 8 = -10

Add 8 to both sides:x = 18 or x - 8 = -10

Add 8 to both sides:Answer:  x = 18 or x = -2

Step-by-step explanation: DONT TRUST THIS THOUGH

Answer:

Unit 4- Expressions and Equations: In this unit, students build on their knowledge from unit 2, where they extended the laws of exponents to rational exponents. Students apply this new understanding of number and strengthen their ability to see structure in and create quadratic and exponential expressions.

Answer:

$103.68

Step-by-step explanation:

20% 0f 120 is 24

120-24=96

8% of 96 is 7.68

96 + 7.68 = 103.68

Answer:

I think it's y= 2x

Step-by-step explanation:

For every number in y, x increases by 2

Answer:

y=x2

Step-by-step explanation:

The first one because 2x2 is 4 .  

4x2 is 8

6x2 is 12

Answer:

she will pay $19 for each day

Step-by-step explanation:

94-18=76

76÷4=19

The rental cost of each day Tara used the kayak is $19 if Tara stayed at the Merry Mountain campgrounds last weekend. She paid a rental fee to use a kayak for 4 days.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Tara stayed at the Merry Mountain campgrounds last weekend. She paid a rental fee to use a kayak for 4 days.

Let x be the rental cost of each day Tara used the kayak.

4x + 18 = 94

4x = 94 - 18

4x = 76

x = 76/4

x = $19

Thus, the rental cost of each day Tara used the kayak is $19 if Tara stayed at the Merry Mountain campgrounds last weekend. She paid a rental fee to use a kayak for 4 days.

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Answer:

1.25 to 1

Step-by-step explanation:

5/4 = 1.25 4/4 = 1 So the ratio is 1.25 to 1

A) The speed of the parachute in feet per second is; 198 ft/s

B) At the given speed, the number of feet the parachute will fall during 15 seconds of freefall is; 2970 ft

We are given;

Speed of parachute during freefall = 60 m/s

A) We are told that 1 m = 3.3 ft

Thus, 60 m/s in ft/s = 60 × 3.3/1 = 198 ft/s

B) Speed is now 198 ft/s

Time is 15 seconds

Formula for distance is;

Distance = speed × time

Distance = 198 × 15

Distance = 2970 ft

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The fraction is 8/9

Lets find percentage

Done!

The transformations of f(x) are (d) The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.

From the question, we have the following function that can be used in our computation:

f(x) = x²

g(x) = -3x²

Mathematically, these equations can be represented as

g(x) = -3f(x)

The above equations implies that, we have the transformation to be:

Hence, the transformed function is (d)

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Answer:

2

Step-by-step explanation:

Write out all the factors for 14

Then write out the multiples of 7

Compare the numbers then find the greatest number in 14's factors that isn't in 7's multiples

Answer:

105

Step-by-step explanation:

First, adding two sequence numbers and that result become upper number

Answer:

Use points (4,1) and (3,-1)

Step-by-step explanation:

Let's say the other coordinates are (x,y).

Then, we know (1-y)/(4-x)=2. So if y is -1, and x is 3, then we get:

[1-(-1)]/(4-3)=2/1=2

So draw the two points, (4,1) and (3,-1) on a coordinate plane, and use a ruler to make a line that goes through both the points.

Answer:

1. 7 to the square root of 3

2. negative square root of 3

Step-by-step explanation:

1. simplify 0.7 x 10 square of 3

2. Calculate: you get 7 to the square root of 3

1. simplify -0.125 x 8 to the square root of 3

2. Calcaute: you get negative square root of 3

The factors of the expression 0.7√300 and -0.125√192 will be 7 x √3 and - 1 x √3, respectively.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expressions are given below.

0.7√300 and -0.125√192

Simplify the expressions, then we have

0.7√300 and -0.125√192

7√3 and - √3

Factorize the expression, then we have

7 x √3 and - 1 x √3

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Answer:

1.6 divided by 8 is 0.2

Step-by-step explanation:

Answer:

The correct answer is option B: (-1, -1).

Step-by-step explanation:

The easiest way to solve this system is using elimination, or by adding the two equations together. We don't have to modify the equations at all, since the x's will already cancel out as written.

Upon addition, we get:

9y = -9

If we solve the equation by dividing both sides by 9, we get:

y = -1

To find the x value, we can substitute this value back into either of our original equations.

6x + 4y = -10

6x - 4 = -10

To solve for x, we should isolate the variable, or get it alone on one side of the equation.

6x = -6

x = -1

Therefore, the solution to the system of equations is x = -1 and y = -1, or (-1, -1), which is option B.

Answer:

24

Step-by-step explanation:

By BODMAS rule,

[ ( 15 + 1 ) / 2 - 4 ] * 6

= [ 16 / 2 - 4 ] * 6

= [ 8 - 4 ] * 6

= 4 * 6

= 24

Based on the information given, the value of the equation will be -48.

From the information given, the expression is given as:

= (15+1)/2-4]*6

We'll solve the bracket first.

= (15+1)/2-4]*6

= (16 / 2 - 4) × 6

= (16/-2) × 6

= -8 × 6

= -48

In conclusion, the value of the equation will be -48.

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Answer:

69 years

Step-by-step explanation:

Sum of Alex's and Ben's current age

= 14 +17

= 31 years

For every year, Alex and Ben will each be one year older. Thus, 2 years would be added to the sum of their ages with each passing year.

Difference in the sum of their ages

= 169 -31

= 138 years

Number of sets of 2 years

= 138 ÷2

= 69

Thus, the sum of their ages will be 169 in 69 years.

18 / 44 = 9 / 22

There are 44 nuts in the bag, and 18 of them are peanuts. If you simplify the fraction, you get 9/22 chance of getting a peanut.

Answer:

9 / 22

Step-by-step explanation:

combine 14, 12, and 18

=44

then, divide 18 by 44

then you get 9 / 22

Answer:

i dont now

Step-by-step explanation:

Answer:

Use the equation for Average Rate of Change which will give you 2.7 feet per month

Step-by-step explanation:

The equation is:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Now insert your values:

[tex]\frac{48.2-5}{16-0}[/tex]

The answer is: 2.7 feet per month

Step-by-step explanation:

how much did it grow per month ?

well, it grew from 5 to 48.2 ft in 16 months.

that means it grew 48.2 - 5 = 43.2 ft.

per month that is 43.2/16 = 2.6875 ft per month.

so, the equation would look like

x = (48.2 - 5)/16

Answer:

  (d)  a1 = 11

Step-by-step explanation:

Put the numbers in the given formula and solve for a1.

  a5 = 176 = a1(r^(5-1)) = a1·r^4

  a7 = 704 = a1(r^(7-1)) = a1·r^6

Dividing a7 by a5 gives ...

  a7/a5 = (a1·r^6)/(a1·r^4) = r^2 = 704/176 = 4

Then a1 is ...

  a1 = a5/(r^4) = 176/(r²)² = 176/(4²) = 11

The first term is 11.

Hi, mal :> hehehe

( its [tex]a_{1} = -11[/tex])

Your welcome..... ;]

Answer:

2x - 3y = 19

Step-by-step explanation:

y=(-5--1)/(2-8)*(x -8)+-1

y=-4/-6(x-8)-1

3y=2x-16-3

3y=2x-19

2x-3y=19

Answer:

-5 less than or equal to x less than or equal to -8

Step-by-step explanation:

You have to isolate x.

Start with removing +2.

Take 2 away from both sides

15 less than or equal to -3x less than or equal to 24

Then, the only thing you have to isolate after that is -3, you have to remove it from x.

Since -3x is multiplying, you have to divide by -3 on the other sides.

15 divided by -3 is -5

24 divided by -3 is -8

Therefore,

The answer is...

-5 less than or equal to x less than or equal to -8