There are an infinite number of lines with slope of -3, as well as an infinite number of lines with y-intercept of 5. Part A: List the equations of three lines whose slope is -3. Part B: List the equations of three lines whose y-intercept is 5. Part C: State the equation of the only line with a slope of -3 and a y-intercept of 5. Explain why there is only one line that can be formed with this slope and y-intercept​

The perm pattern that includes a central rectangle and two sections at each side is the contour pattern.

The contour pattern in a perm involves dividing the hair into three sections, with a rectangular section in the center and two additional sections on each side. The hair is then wrapped around perm rods in a pattern that follows the contour of the head. This pattern is often used to create natural-looking waves or curls.

The other patterns listed - rectangle pattern, spiral bricklay pattern, and alternating oblong pattern - are not typically used in perming hair.

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Answer:

y=43x−1

Step-by-step explanation:

The equation of the line in Slope-Intercept Form is B: y = (3/4)x − 1.

For the given question.

The  line passes through the points-

(x1, y1) =  (−8,−7)  

(x2, y2) = (−4,−4).

Find the slope using formula;

slope = m = (y2 - y1)/(x2 - x1)

m = (-4 + 7)/(-4 + 8)

m = 3/4

The equation of the line in slope intercept form is found by;

y - y1 = m(x - x1)

y + 7 = (3/4)(x + 8)

y = (3/4)x - 1

Thus, the equation of the line in Slope-Intercept Form is B: y = (3/4)x − 1.

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Answer:

x = 6

Step-by-step explanation:

First of all you should collect like terms

-x = 18 - 4x

Then you should move the variable to the left

-x + 4x = 18

After that you should collect like terms

3x = 18

Finally divide both sides by 3

x = 6

Hope this helps!

Answer:

6

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

14=3x+2

Move all terms that don't contain  x to the right side and solve.

Answer:

55

Step-by-step explanation:

165 / 3 = 55 therefore, one inch is equal to 55 miles. Hope this helps

The area of rectangle ABCD is equal to 20 square units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance AB = √[(-5 + 6)² + (2 - 4)²]

Distance AB = √[1 + 4]

Distance AB = √5

For the width, we have:

Distance AD = √[(2 + 6)² + (8 - 4)²]

Distance AD = √[64 + 16]

Distance AD = √80

Mathematically, the area of a rectangle can be calculated by using this formula:

Area of a rectangle = AD × AB

Area of a rectangle = √80 × √5

Area of a rectangle = √400

Area of a rectangle = 20 square units.

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Answer:

y = 1x - 1 is the slope-intercept form

Answer:

y=1x-1

Step-by-step explanation:

Slope Intercept Form is y=mx+b where m is the slope, x is the number of x times, b is the y intercept, y intercept is the part of a line where the x is 0 and the y touches a y axis, vice versa for x intercept

The price of the widgets for which it should be sold to make the maximum profit is $25.4   .

We know that the quadratic equation ax² + bx + c ,

if a < 0 , then the maximum value of the quadratic equation will be at x = -b/2a .

In the question ,

it is given that ,

a company is selling a widget ,

the selling price of each widget is = x ,

the profit made by the company = y ,

the equation of profit is given as y = −3x² + 152x − 1150 ,

where a = -3 , b = 152 and c = -1150,

we can see that in the given quadratic equation ,

a < 0 , so , the maximum will be at

x = -b/2a

x = -152/2(-3)

x = 152/6

x = 25.333

x ≈ 25.4

Therefore , the price of the widget is $25.4  .

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Answer:

cos o sin

Step-by-step explanation:

gender would be the independent variable in this statistical test.

: In a statistical test, the independent variable is the variable that is manipulated or chosen by the researcher, and it is expected to have an effect on the dependent variable. In this case, the researcher is interested in evaluating whether gender has an effect on the perceived threat someone feels, so gender would be the independent variable. The dependent variable, on the other hand, is the variable that is expected to be affected by the independent variable, which in this case is the perceived threat someone feels.

The answer is that the researcher can use a statistical test, such as a t-test or ANOVA, to compare the perceived threat levels between males and females in the sample. The independent variable (gender) would be used to group the participants into two categories: male and female. The dependent variable (perceived threat) would be the variable that is being measured and compared between these two groups. The statistical test would then determine whether there is a significant difference in the perceived threat levels between males and females.

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To find the number of years it will take for the population of a city to increase from 120000 to 180000, we need to use the formula:

Years = log (target population / starting population) / log (1 + annual growth rate)

Where the annual growth rate is 2.5% or 0.025.

Plugging in the values, we get:

Years = log (180000 / 120000) / log (1 + 0.025)

Years = log (1.5) / log (1.025)

Years = 7.36 years

Rounding to the nearest tenth, we get:

Years = 7.4 years

So it will take approximately 7.4 years for the population of the city to increase from 120000 to 180000 people, assuming a constant annual growth rate of 2.5%.

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Answer:

3,6

Step-by-step explanation:

3,2,7,6 are all congruent be cause they all have the same measurement, but the answer is 3 and 6

Answer:

6 3/5

Step-by-step explanation:

33/5 = 6 R3

Answer:

6.6

Step-by-step explanation:

33÷5=6.6

33 divided by 5equal

The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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Answer:

Tienes que dividir las fracciones en el dibujo por las fracciones de los números y luego obtendrás las respuestas correctas.

Step-by-step explanation:

what ? nothing makes any sense here.

please read your problem statement again and type it here again, letter by letter, digit by digit, symbol by symbol.

Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on

Step-by-step explanation:

Answer:

x^2 + 7x - 18 = (x + 9)(x - 2)

The difference between length and width is x + 9 - (x - 2) = x + 9 - x + 2 = 11.

The algebraic expression for the total money saved by Luis and Julio together is 4L.

Let's denote the amount of money saved by Luis as 'L'. According to the given information, Julio has triple the savings of Luis, so we can represent Julio's savings as '3L'.

To express the total money saved by Luis and Julio together, we can use algebraic notation. Let's denote the total savings as 'S'. It can be expressed as:

S = L + 3L

Simplifying the expression, we have:

S = 4L

Therefore, the algebraic expression for the total money saved by Luis and Julio together is 4L.

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Answer: 0

Step-by-step explanation:

The scale factor of the dilation must be greater than 1. if the image A'B'C' is bigger than the preimage ABC

If the image A'B'C' is bigger than the preimage ABC, then the scale factor of the dilation must be greater than 1.

In other words, the length of any segment in the image is larger than the corresponding segment in the preimage by the same factor.

Since D is the center of the dilation, we can use the ratio of the corresponding side lengths of the image and preimage triangles to find the scale factor.

For example, if we want to find the scale factor for A', we can use:

scale factor = B'C'/BC

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Answer:

4 6/10+ 6 8/10= 11 4/10

Step-by-step explanation:

The 4+6=10, and 6/10+8/10=14/10 which converts to 1 4/10. 10+1 4/10= 11 4/10

Answer:

11 and 4/10

Step-by-step explanation:

Hope this helps!

a) To graph the marginal utility of x, we need to find the derivative of the utility function with respect to x. Given that y=1, the utility function becomes U=x^(1/5). Taking the derivative of U with respect to x, we get dU/dx = (1/5)x^(-4/5). This represents the marginal utility of x.

When we graph the marginal utility of x, we put the marginal utility on the vertical axis and x on the horizontal axis. Since x^(-4/5) is positive for all positive values of x, the graph of the marginal utility of x will have a positive slope that decreases as x increases. The shape of the graph will resemble a downward-sloping curve that approaches zero as x approaches infinity.

b) The MRS (Marginal Rate of Substitution) for this consumer is the rate at which the consumer is willing to trade one good for another while keeping the total utility constant. In this case, the MRS is the negative ratio of the marginal utility of x to the marginal utility of y. Mathematically, MRS = -(dU/dx)/(dU/dy).

Since y is a constant and dU/dy = 0, the MRS simplifies to MRS = -(dU/dx)/0 = undefined. This means that the consumer is not willing to trade any amount of y for x, as the marginal utility of y is zero. The consumer only derives utility from x and does not value y in terms of marginal utility.

The graph of the marginal utility of x will have a positive slope that decreases as x increases. The MRS for this consumer is undefined, indicating that the consumer does not value y in terms of marginal utility.

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Answer:

5a^2/2

Step-by-step explanation:

Answer: 3.2

Step-by-step explanation:

1/2 a = 5a

Answer:

A total of 15 matches were played.

Step-by-step explanation:

To determine the number of matches that were played in the chess tournament, knowing that there are 16 participants who face each other in a tournament of direct elimination, the following logical reasoning must be carried out:

In the first round there are 16 players, so being matches between 2 players, there are 8 matches (16/2). In the second round, applying the same reasoning and taking into account that there are only 8 players left, since the others have been eliminated, there are 4 matches (8/2). The same in the semifinals, where there are 2 games (4/2), and finally, the final to a single game.

Therefore, since 8 + 4 + 2 + 1 equals 15, the number of matches played in the tournament is 15.

Answer: All real numbers besides 2 and 4

Step-by-step explanation:

You want to find out where the denominator will equal 0. This will tell you what values that cannot be inputted into the function. You cant divide by 0, it is impossible.

What two numbers mulitply to equal 8 but add to equal -6? Thats -4 and -2

(x - 4)(x - 2) = 0

The term used for a line, ray, or segment that intersects a segment at its midpoint is the Perpendicular Bisector.

A perpendicular bisector is a line that intersects another line at the midpoint, forming right angles. It's a line that splits a line segment into two equal pieces at a 90-degree angle.

A line is split into two parts, each of which is the same length and is equidistant from the endpoints of the original line. A perpendicular bisector divides a line into two equal parts, making each one a mirror image of the other.

Perpendicular bisectors have a variety of practical applications.

For example, they can be used in geometry proofs to demonstrate that two lines are parallel or that two line segments are equal in length.

They may also be used in surveying, architecture, and engineering to establish straight lines and points of intersection.

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