What is the equation of the line that passes through the point (-2, -2) and has
slope of 3?

Answer:

Between 76 and 88

The function formula of the mass of the bottle to the function of the volume of the oil is M = 590 - 0.95V

The glass bottle filled with oil weighs 590 grams.  

After Sophia uses 200 millilitres of oil, the bottle of oil weighs 400grams.

Therefore, the weight M of the bottle of oil in grams is a function of V, the volume, in millimetres of oil Sophia has used.

Therefore, the formula of the function can be represented as follows

density = mass / volume

200 mm reduces the weight of the bottle by 590 - 400 = 190 grams.

V mm will reduce  it to ?

cross multiply

190 × V / 200 = 19 / 20 V = 0.95V

where

V = volume of the oil reduced from the bottle

Therefore, the function formula will be as follows:

M = 590 - 0.95V

Where,

M = weight of the oil.

learn more on mass and volume here: https://brainly.com/question/27909448

#SPJ1

Let's evaluate the statements:

Supplementary angles: that means the sum of ∠K and ∠J is 180°.

Adjacent angles: that means that ∠K and ∠J common side and a common vertex.

So, let's observe the angles:

Given:

Linear pairs of angles are those two adjacent angles whose sum is 180°.

Answer: ∠K and ∠J are linear pairs.

Answer:

(-2, -4)

Step-by-step explanation:

Z_x = (Y_x - X_x) * (4/5) = (-4 - 6) * (4/5) = -8

Z_y = (Y_y - X_y) * (4/5) = (-6 - 4) * (4/5) = -8

-8 + 6 = -2

-8 + 4 = -4

Answer:

392

Step-by-step explanation:

There are 14 desks with 28 rooms, or

14 x 28
392

I'm trying to rank up so if you could mark this brainliest, it would really help

The inequality for number of pull buoys and the number of kickboards is; 5.50x + 10y ≤ 800.

A statement of an order relationship between two numbers or algebraic expressions (greater than, greater than or equal to, less than, or less than or equal to).

For the given question.

Let 'x' represent the number of pull buoys.

Let 'y' represent the number of kickboards.

The cost of each pull buoy = $5.50.

The cost of each kickboard costs = $10.

The total swim budget = $800.

The inequality for the scenario is -

5.50x + 10y ≤ 800.

Plot the graph;

Put x = 0; y = 80 ; (0, 80)

Put y = 0, x = 145.5 (145.5, 0)

Plot the obtained points on the graph.

To know more about the inequality, here

https://brainly.com/question/24372553

#SPJ13

The value of f(-1) when f(x) = 2x + 2 will be 0.

In Mathematics, it is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

In this situation, we want to know the value of f(-1) when f(x) = 2x + 2. This will be Illustrated as:

f(-1) = 2x + 2

= 2(-1) + 2.

= -2 + 2

= 0

The value is 0.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

The factorized expression is (4/x³)(1/x² + 4).

To learn more about exponents, visit :

https://brainly.com/question/5497425

#SPJ1

After inspecting the picture of the given graph, the range of the function is represented by the following set:

Inequality notation: - 5 ≤ y ≤ 0

Interval notation: y ∈ [- 5, 0]

Functions are characterized by the following three features:

In this question we find the case of a function with one input variable and one output variable. That is:

x → f(x)

After inspecting the picture shown in the image we notice that the range of the graph is formed by the following set:

Inequality notation: - 5 ≤ y ≤ 0

Interval notation: y ∈ [- 5, 0]

To learn more on domain and range of functions: https://brainly.com/question/17440903

#SPJ1

U=308

11=308/28

it right trust me

Answer:

What do you mean by what does U? if is what I think it is, then:

Step-by-step explanation:

Solve for you by simplifying both sides of the equation, then isolating the variable.

u=308

the amount of vertical change in your position when you drive 200 feet is 16 feet

you are driving on a road that has a 8% uphill grade.

this means that the slope of the road is 8/100.

approximate the amount of vertical change in your position when you drive 200 feet

Therefore our proportion is: (where x is the "vertical" rise)

Slope is defined as rise so

8/100 = x/200

(8*200)/100 = x

16 feet = x

Hence ,  the amount of vertical change in your position when you drive 200 feet is 16 feet

learn more about of percentage here

https://brainly.com/question/28269290

#SPJ4

The required coordinates are

Q'(-8, -9)

R'(-8, -1)

S'(-1, -10)

What is coordinate?

In geometry, a coordinate system is a method for determining how to place points or other geometrical objects on a manifold, such Euclidean space, uniquely using one or more numbers, or coordinates.

You want the coordinates of Q', R', and S' after rotating figure QRS 90° CCW. You are given Q(-9, 8), R(-1, 8) and S(-10, 1).

Rotation CCW 90°

The transformation that maps coordinates to their image after rotation 90° CCW is

 (x, y) ⇒ (-y, x)

The image points are

 Q(-9, 8) ⇒ Q'(-8, -9)

 R(-1, 8) ⇒ R'(-8, -1)

 S(-10, 1) ⇒ S'(-1, -10)

To learn more about coordinate from the given link

https://brainly.com/question/17206319

#SPJ9

Answer:

2

Step-by-step explanation:

[tex]=-\frac{12}{15} + -\frac{5}{15} + \frac{12}{15} + \frac{35}{15} \\=\frac{30}{15} \\= 2[/tex]

Answer:

39/15

Step-by-step explanation:

-4/5+-1/3+1 2/5+7/3

Convert all to fractions having the least common denominator.  The mixed denominators of 3 and 5 could be converted to denominators of 15, thereby allowing them to be numerically combined.

-4/5+-1/3+1 2/5+7/3

(-4/5)(3/3) = -12/15

(-1/3)(5/5) = -5/15

(+1 2/5) = (5/5 + 2/5) = (7/5)(3/3) = 21/15

(7/3)(5/5) = 35/15

Since we have a common denominator (15) we can now sum the individual fractions by adding their numerators:

-12 -5 + 21 + 35 = 39

Now add back the denominator

The result is 39/15

The rule for the reflection is (x, y) ---> (x+6, y).

A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection.

Given:

The coordinates of L is ( -3, 6).

Now, after the reflection

The x- coordinates increases +6 units on right side.

and, y- coordinates remains the same.

Hence, the rule for the reflection is (x, y) ---> (x+6, y).

Learn more about reflection here:

https://brainly.com/question/15487308

#SPJ1

Answer:20 in * (12 in - 2X in) * (X in) = 360 in3

This can be simplified by dividing both sides by 20 in:

20 in * (12 in - 2X in) * (X in) = (360 in3/ 20 in)

After dividing both sides by 20 in:

(12 in - 2X in) * X in = 18 in2

Distribute X in. across (12 in -2X in):

12X in2 - 2X2 in2 = 18 in2

1.Subtract 18 in2 from both sides:

12X in2 - 2X2 in2 - 18 in2 = 0

2. Rearrange the equation:

-2X2 in2 + 12X in2 - 18 in2 = 0

This for matches the form for a quadratic equation (Ax2 + Bx +C = 0)

You can then plug these values into the quadratic formula to solve for X

so your answer is X=3

The rhombus has an area value of 180 square units

From the question, the given parameters arr

Shape = Rhombus'

Base = x

Height = h

Also, from the question, we have

x = 15

h = 12

The above parameters mean that

Base = 15

Height = 12

The area of the rhombus is then calculated using the following area formula

Area = Base * Height

Substitute the known values in the above equation

This gives

Area = 15 x 12

Evaluate

So, we have the following equation

Area = 180

Hence, the area is 180 square units

Read more about areas at

https://brainly.com/question/22972014

#SPJ1

The area of the rhombus is 180 square units, which is the correct answer would be an option(C).

The area of the rhombus is calculated as the product of its height and base.

The formula of the area of the rhombus is following

Area of the rhombus = Height × Base

The given rhombus has :

Height (h) = 12 units

Base (x) = 15 units

Area of the rhombus = Height × Base

Area of the rhombus = h × x

Substitute the values of x = 15 and h = 12 in the above equation

Area of the rhombus = 15 × 12

Area of the rhombus = 180 square units

Hence, the area of the rhombus is 180 square units

Learn more about the rhombus here:

brainly.com/question/11220936

#SPJ1

Amy can make 29 meatballs from the remaining beef.

What are mathematics operations?

Amy has 4 pounds of ground beef to make meatballs and he uses 3/8 pound per meatball to make 9 meatballs

We have to subtract 3/8 from 4

= 4 - 3/8

= 29/8

There are 29/8 pounds of ground beef left

Therefore the number of 1/8 pound meatball that can be produced from 29/8 pounds of ground beef can be calculated as follows;

= 29/8 ÷ 1/8

= 29

Hence Amy can make 29 meatballs

Please see the link below for more information on mathematics operation :

brainly.com/question/19390809

#SPJ1

Answer: G=32

Step-by-step explanation:

Answer:

Step-by-step explanation:

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y and an x-intercept is a point where the graph of a function or relation intersects with the x-axis of the coordinate system. To find the x-intercept we set y = 0 and solve the equation for x. This is because when y=0 the line crosses the x-axis. When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable.  For example In algebra, 2-dimensional coordinate graphs have a horizontal axis, or x-axis, and a vertical axis, or y-axis. The places where lines representing a range of values cross these axes are called intercepts. The y-intercept is the place where the line crosses the y-axis and the x-intercept where the line crosses the x-axis. For simple problems, it is easy to find the x-intercept by looking at a graph. You can find the exact point of the intercept by solving algebraically using the equation of the line.

Hope this helped out!

Note that sides AD and BE are perpendicular on the same side AC. So the angles CAD and CBE, both are equal to 90 degrees.

Beig the corresponding angles, ADC and BEC are also equal.

And the angle ACD is the common angle in both the triangles.

Therefore by the AAA criteria, the triangles CAD and CBE are similar.

So their corresponding sides must be proportional,

If Mr. Johnson orders gravel to cover his driveway, below is a top view of the driveway and the gravel will be spread 3 inches deep, then the depth of the gravel in feet is 0.25 feet

The gravel will be spread 3 inches deep

Here we have to convert the depth in inches to the depth in feet

To convert the inches to feet, we have to divide the inches by 12.

Then,

3 inches = 3/12 feet

= 0.25 feet

Hence, if Mr. Johnson orders gravel to cover his driveway, below is a top view of the driveway and the gravel will be spread 3 inches deep, then the depth of the gravel in feet is 0.25 feet

Learn more about conversion here

brainly.com/question/9481766

#SPJ1

Answer:idek

Step-by-step explanation:

The simplified fraction for the expression [tex]a^{-3} / b ^{-2[/tex] is 36/125.

The exponent of a number shows how many times the number is multiplied by itself.

For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general, [tex]x^n[/tex] means that x is multiplied by itself for n times.

Given:

[tex]a^{-3} / b ^{-2[/tex]

Now, a= 5 and b=6

So, substituting the above values in the expression as

= [tex]5^{-3} / 6 ^{-2[/tex]

Using the law of exponents we have

[tex]a^{-m[/tex] = 1/[tex]a^m[/tex]

Thus,

= 6² / 5³

=6 x 6 / 5x 5 x 5

=36 / 125

Hence, the simplified fraction is 36/125.

Learn more about exponents here:

https://brainly.com/question/5497425

#SPJ1

Answer:

Below in bold.

Step-by-step explanation:

f(x) = 3x³ - 4x + 6 and g(x) = x³ + 3x² + x - 3

A. (f+g)x  = 3x³ - 4x + 6 + x³ + 3x² + x - 3 = 4x³ + 3x² - 3x + 3.

B. (f-g)x = 3x³ - 4x + 6 - (x³ + 3x² + x - 3) = 2x³ - 3x² - 5x + 9.

C. (3f+2g)(x) = 9x³ - 12x + 18 + 2x³ + 6x² + 2x - 6 = 11x³ + 6x² - 10x - 12.

C. (3f-2g)(x) = 9x³ - 12x + 18 - (2x³ + 6x² + 2x - 6) = 7x³ - 6x² - 14x - 24.

Any number in the form of p/q where q not equal to zero is called as rational Number. -3 is rational number and Jacob is correct.

Any number in the form of p/q where q not equal to zero is called as rational Number.

An Irrational Number is a real number that cannot be written as a simple fraction: 1.5 is rational, but π is irrational. The root values will also be irrational.

The number -3 is a rational number. We can write -3 in the form of p/q, i.e  -3/1 where p is -3 and q is 1.

All rational numbers are obtained by dividing one integer by another.

Since it is possible to obtain -3 by dividing the integer

i.e -3 by 1, as in -3/1,

So -3 is a rational number.

Hence -3 is not a irrational number because -3 we can written as a simple fraction.

So Jacob is correct.

Hence -3 is rational and Jacob is correct.

To learn more on rational and Irrational Numbers click:

https://brainly.com/question/24398433

#SPJ1

The equation given  5x + 2y = 10 given, represents the slope considering the form Ax + By = C: by slope = - A/B = -5/2

Ax + By = C

rewriting in standard form which is y = mx + c, where m is the slope, is done as follows

By = -Ax + C

y = ( - Ax + C ) / B

y = - Ax/B + C/B

comparing with standard form the slope, m is - A/B

using the other equation  5x + 2y = 10

rewriting gives

y = -5x/2 + 10/2

the slope here is -5/2

Read more on slopes here: https://brainly.com/question/3493733

#SPJ1

Round to 1 significant figure

What is Rounding?

To estimate a certain number in a context, rounding is a process. Look at the next digit in the correct position to determine how to round a number; if it is less than 5, round down, and if it is 5 or more, round up. The term "rounding decimals" describes the accurate rounding of decimal figures.

How to round a figure

It rounds to the most important figure in the number. To round to a significant figure: look at the first non-zero digit if rounding to one significant figure. look at the digit after the first non-zero digit if rounding to two significant figures.

To understand this term lets take and example:

24982 correct to 1 significant figure

If we round up, then the answer is

30,000

but if we were to round down, the answer would be

20,000;

If we want to determine which one is correct, we have to look at the second digit of the original number, which is

4

Since the second digit is less than 5

we can round down, so the answer would have to be

20,000

Hence, 24982 round to 1 significant figure is 20,000

To learn more about Rounding click on the link

https://brainly.com/question/27207159

#SPJ9

Answer:

fraction decomposition for the expression

13x - 7/(x+2)(4x-3)

Answer:

  y = 4x

Step-by-step explanation:

You want an equation that represents the proportional relationship between ounces of chocolate (x) and ounces of almonds (y) when we know (x, y) = (2, 8).

A proportional relation can be written using the equation ...

  y = kx

where k is a constant.

The value of k can be found if a pair of values is known for x and y.

  k = y/x . . . divide by x

  k = 8/2 = 4 . . . . use (x, y) = (2, 8) from the table.

The equation for the relationship is ...

  y = 4x

The proportional relationship that accounts between the amount of dark chocolate and the amount of almonds is y = 4x.

What is ratio and proportion?
Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. An equation known as proportion shows that the two ratios presented are equal to one another. A ratio is the comparative or condensed form of two quantities of the same type. We may determine how many times one quantity is equal to another using this relationship. The ratio can be defined as the number that can be used to represent one quantity as a percentage of another.

Given, for 2 ounces of dark chocolate(x), 8 ounces of almonds(y) are put in.
Taking the ratio as y to x, we have:
y/x = 8/2 ⇒ y/x = 4 ⇒ y = 4x
Thus, the proportional relationship that accounts between the amount of dark chocolate and the amount of almonds in each package of Sweet and Salty trail mix is y = 4x.

To learn more about this, tap on the link below:
https://brainly.com/question/870035

#SPJ9