please HELP!! thank you

We typically write linear equations in slope-intercept form:

[tex]y=mx+b[/tex]

We're given:

1) Determine the slope (m)

To find the slope, we can use the slope equation:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points through which the line passes

⇒ Plug in the given points:

[tex]m=\dfrac{-1-(-4)}{0-(-13)}\\\\m=\dfrac{-1+4}{0+13}\\\\m=\dfrac{3}{13}[/tex]

Therefore, the slope of the line is [tex]\dfrac{3}{13}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\dfrac{3}{13}x+b[/tex]

1) Determine the y-intercept (b)

In this case, the y-intercept is already given to us.

The y-intercept is the value of y when x=0. Given that the line passes through (0,-1), we know that this is -1.

Plug this into [tex]y=\dfrac{3}{13}x+b[/tex]:

[tex]y=\dfrac{3}{13}x+(-1)\\\\y=\dfrac{3}{13}x-1[/tex]

[tex]y=\dfrac{3}{13}x-1[/tex]

[tex]7a = b[/tex]

THIS SIMPLY MEANS THAT TO ATTAIN b we have to multiply a by 7.

Answer:

Tile a rectangle with unit squares. It is 8 unit squares long and 7 unit squares wide. Each unit square represents one square inch.

Step-by-step explanation:

The time taken to create a 2-foot by 4-foot pattern drive is 38.4 minutes.

A unit rate means a rate for one of something.

It is written as a ratio with a denominator of one.

We have,

A rectangle tile area = 3-inch by 5-inch

Area = 15 inches

Time taken to position 15 inches tile = 6 minutes.

We can write as,

15 inches = 6 minutes _____(1)

We have a 2-foot by 4-foot pattern drive.

Area = 8 feet

We know that,

1 foot = 12 inches

Multiply both sides by 8.

8 feet = 8 x 12 inches

8 feet = 96 inches _______(2)

Now,

From (1) and (2) we get,

15 inches = 6 minutes

Multiply 96/15 on both sides we get,

96/15 x 15 inches = 96/15 x 6 minutes

96 inches = 38.4 minutes

Thus the time taken to create a 2-foot by 4-foot pattern drive is 38.4 minutes.

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Answer:

x = 15

z = 64

Step-by-step explanation:

Lets make an equation -

(14x - 94) + z = 8x - 4 +z

Both sides are parallel to each other, and therefore the sum is also 180.

Then we solve it -

14x - 8x - 94 + z = -4 + z

Bring the z on the other side to eliminate it.

6x - 94 = - 4

Add 94 on both sides

6x = 90

Divide 6 on both sides and you get x = 15

Substitute x into 8x -4 + z = 180

8*15 - 4 + z = 180

120 - 4 + z = 180

116 + z = 180

Subtract 116 on both sides.

z = 64.

HOPE THIS HELPS!!

CAN U PLSSS HELP ME! I have been stuck on this problem for hours! Pls try to see if u can solve it. This is the problem -

Sean and Emily love making origami. Sean can make a paper crane in 6 minutes, and

Emily can make a paper crane in 8 minutes. One day, they decided to make some paper

cranes together. They started making cranes at the same time, and after a while, they

have 112 total paper cranes. How many of those paper cranes did Sean make?

THANKS A LOT!!

Answer:

Step-by-step explanation:

1. To find the value of x, you'll need to set 14x-94 equal to 8x-4. We do this since the two angels are congruent, and congruent angles are equal to each other:

[tex]14x-94=8x-4[/tex]

You'll then solve for x by isolating the x value.

[tex]14x-8x=94-4[/tex]

[tex]6x=90[/tex]

[tex]x=\frac{90}{6}[/tex]

[tex]x=15[/tex]

2. To find z I would plug in the x value to one of the equations, such as 8x-4, in order to find the measure of that angle:

[tex]8(15)-4\\=116[/tex]

We now know that 14x-94 and 8x-4 are equal to 116. To find z you'll add the angle opposite to it, the blank angle since they are congruent. Now you'll add all the angles together and set the equation equal to 360:

[tex]z+z+116+116=360\\2z+232=360\\2z=(360-232)\\2z=128\\\frac{2z}{2} =\frac{128}{2} \\z=64[/tex]

Your final answers are x=15 and z=64, hope this helps!

0.030844 is the probability that the test results are correct, and that this student is not overstressed.

What is a probability math example?

Given that a particular  students test negative for stress negative for stress then probability  that the test result are correct and this student is not over stressed.

  = 0.5% × 95% / ( 99.5% × 15% ) + ( 0.5% × 95% )

 = 0.030844

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The complete question is -

A new test has been developed to determine whether a given student is overstressed. This test is 95% accurate if the student is not overstressed, but only 85% accurate if the student is in fact overstressed. It is known that 99.5% of all students are overstressed. Given that a particular student tests negative for stress, what is the probability that the test results are correct, and that this student is not overstressed?

The way she can use the number line to model the division is; Maria should start at 0 and then make “bounces” of 4 to the right until landing at 12. She will make 3 bounces of 4 because 12 divided by 4 is 3.

She is using a number line to model division, 12 ÷ 4  =  3

To carry out a division operation using a number line, follow the steps below:

For the division operation 12 ÷ 4, Maria should:

Therefore, the points on the number line will be 0, 4, 8, and 12

Count the number of gaps between these points

That is, 0 to 4, 4 to 8, and 8 to 12.

Since there are three gaps between 0 and 12 on the number line, using a gap difference of 4, then 12 ÷ 4  =  3

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The equation that describes the graphed function [tex]f(x) = \frac{1}{x}[/tex]  is option A:[tex]y = (x + 2) - 1.[/tex] This is shown in the graph given below, and transformation is translation.

To mathematically derive this equation, start with the original function [tex]f(x) = \frac{1}{x}[/tex].

The given function [tex]f(x) = \frac{1}{x}[/tex] has a reciprocal relationship between x and y.

To perform a horizontal translation 2 units left, substitute (x + 2) for x. This gives:[tex]f(x + 2) = \frac{1}{x + 2}[/tex].

Next, to achieve a vertical translation 1 unit down, subtract 1 from the function.

Thus, [tex]f(x + 2) - 1 = \frac{1}{x + 2}- 1[/tex].

Simplifying further, combine the terms gives:

[tex]y = (x + 2) - 1.[/tex]

This equation represents the original function :

[tex]f(x) = \frac{1}{x}[/tex]

After a horizontal translation of 2 units left and a vertical translation of 1 unit down.

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Using a linear function, it is found that:

a. The table is completed as follows: Month 2, Stamps 144; Month 3, Stamps 156; Month 4, Stamps 168; Month 5, Stamps 180.

b. She will have 264 stamps after one year.

c. The function is given by: t(n) = 120 + 12n.

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

For the function in this problem, we have that:

Hence the function is given by:

t(n) = 120 + 12n.

To complete the table, we find the numeric values are follows:

One year from now is 12 months, hence:

t(12) = 120 + 12(12) = 264.

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The two situations which would result in a solution of 0 include the following:

B. On Friday morning, a student earns $35 mowing lawns. On Friday night, the student spends the $35 while out with friends. How much of the money that the student earns from mowing lawns is left?

D. A student owes a friend $7.50. If the student pays the friend $7.50, how much does the student owe the friend?

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

For this exercise, the expression which represents the first situation is given by:

Amount of money left = $35 - $35

Amount of money left = 0

For this exercise, the expression which represents the second situation is given by:

Amount of money owed = $7.50 - $7.50

Amount of money owed = 0.

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Answer:

each point needs to be transformed using (-y,x) for the new coordinate

Answer:The mean is commonly referred to as average, but it is not the only kind of average. The mean is often used in research, academics and in sports.

Step-by-step explanation:

There are diffrerent ways to use the word

The average in general is the same as the term average in mathematics.

Arithmetic mean or average can be obtained by adding all the given values and then dividing the total sum by the number of values.

The meaning of average, in general, is quite similar to average in maths.

Suppose If we say the average income of a population is five thousand.

This implies that some portion of the population earns more than five thousand and some portion of the population earns below five thousand.

We can also say that the average rate growth of height of a person per year is 5cm this also means that some years the growth is more than 5cm and some years it is less than 5 cm.

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Answer:

4.25c + 3.5p = 36.50

c + 6 = p

c = candies and p = pretzels

Step-by-step explanation:

So for the first equation, the prices will be the coefficients of each variable, since for each candy/pretzel it will be that price. We also know that both of these prices together equal 36.50, so that will be on the other side of the equal sign. So the equation representing this info is 4.25c + 3.5p = 36.50

And for the second equation I saw that Mason bought 6 more pretzels than candies. So no matter what number the candies is, the pretzels should always be 6 more than the candies. So the equation representing this information is c + 6 = p

Lastly I just defined the variables that I used to right the system. That is all! Hope this helps you this should be correct :)

Answer:

[tex] = 8^{2} \\ = 8 \times 8 \\ = 64[/tex]

ATTACHED IS THE SOLUTION

Time is considered to be the dimension on which any system evolves.

9.2 seconds will take for him to strike the ground.

Time can be thought of as the dimension in which the evolution of every system occurs.

It can be calculated using the following units: seconds, minutes, hours, days, weeks, months, and years.

Given,

h = 45m

g = -9.8m/s

Solution:

Vi = 0

h = Vi t + 1/2gt^2

Since Vi is 0

2h = gt^2

t^2 = 2h/g

t = [tex]\sqrt{2h/g}[/tex]

[tex]t =\sqrt{2 * -45/-9.8}[/tex]

t = 9.183s

9.2 seconds will take for him to strike the ground.

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The probability that it is a female with long hair is 0.75 .

Potential is described by probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability generally refers to the degree to which something is likely to occur. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is. In the probability scale, 0 indicates an impossibility and 1 indicates a certainty. Every event's probability in a sample space is one.

the likelihood of an occurrence, E is

P(E) = The proportion of positive outcomes to all outcomes.

In probability, an event is said to be independent if it is completely unaffected by the occurrence of any other event, and it is considered to be dependent if it is affected by other occurrences.

Using the literature and formulas mentioned above, we have:

Let F stand for the circumstance that the student is a female and L for the circumstance that the student has long hair.

In this illustration, the probability are as follows:

P(F) = 0.60; P(L) = 0.50

P(F AND L) = 0.45 and P(L|F) = 0.75 as a result.

As a result, there is a 0.75 percent chance that a randomly chosen student has long hair.

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The number which is at a distance of 23 unit from 12 on a number line is 11.

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.

This ultimately implies that, a number line can be used to determine the difference between two numbers such as 23 and 12. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.

Now, we can determine the distance as follows:

Distance = 23 - 12

Distance = 11.

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Function transformation: Function transformation is the process of changing one function into another.

The f(x) graph will be shifted 1 unit down in the vertical direction.

Function transformation: Function transformation is the process of changing one function into another.

changing a function's form from one to another

Transformational rule

The function will move 'a' units higher when f(x)->f(x)+a is used.

f(x)-> f(x)-a The action is going to be 'a' units down.

The function will be relocated 'a' units left if f(x)->f(x+a).

The function will be relocated 'a' units right if f(x)->f(x-a).

The fundamental job is [tex]f(x)=\frac{1}{x}[/tex]

F(x)-1 is used in place of f(x).

It indicates that the graph of f(x) will shift down by one unit.

A unit down will be added to the vertical translation of the f(x) graph.

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The value of a that makes ∠2 and ∠3 perpendicular is 20.

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

From the image, HL is perpendicular to HJ, hence:

m∠2 + m∠3 = 90° (Definition of perpendicular)

Substituting gives:

(a + 15) + (a + 35) = 90

2a + 50 = 90

a = 20

value of a = 20

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The constant of proportionality of the given function of the graph would be 3 / 4.

The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.

Let the equation below which is shown in the graph:

y = kx ....(i)

where k is the constant of proportionality.

As per the given graph, take a point x = 4, and y = 3

Substitute the values x = 4, and y = 3 in the equation (i)

3 = k × (4)

4k = 3

k = 3 / 4

Thus, the constant of proportionality of the given function of the graph would be 3 / 4.

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Step-by-step explanation:

I hope this will be helpful for you.

Answer: [tex]y=-\frac{7}{2}x+7[/tex]

Step-by-step explanation:

The slope of the line is [tex]\frac{7-0}{0-2}=-\frac{7}{2}[/tex].

So, since the y-intercept is 7, the equation is [tex]y=-\frac{7}{2}x+7[/tex].

Based on the amount earned by Justin per hour, and the overtime work rate, Justin's gross pay for the week is $764.50

First, find the amount that Justin earns from Rite Aid Pharmacy for his regular work:

= Number of hours in regular week x Pay per week

= 40 x 13.9

= $556

The overtime hours was:

= 50 - 40

= 10 hours

The overtime pay is:

= 10 x 13.9 x 1.5

= $208.50

The total gross pay for the week is:
= 556 + 208.50

= $764.50

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The answer is :   X = 9

Answer:

9

Step-by-step explanation:

75 + 25x = 300

subtract 75 from both sides:

75 + 25x - 75 = 300 - 75

25x = 225

divide both sides by 25:

25x/25 = 225/25

x = 9

Answer:

76 ounces    as  (  1 lb   = 16 oz )  4 3/4 * 16 = 76

Step-by-step explanation:  

4 3/4 pounds = 76 ounces       or   4 3/4 pounds = 2.15456376 kilograms  

The absolute function f(x) = 4x+5 as a piecewise-defined function is:

f(x) = { -4x-5   ,   x<-5/4

           4x+5   ,   x ≥-5/4 }

Given, the absolute function  f(x) = 4x+5

The fundamental tenet of piecewise linear regression is that we should construct the regression function in "pieces" if the data exhibit various linear trends over various parts of the data. The components may or may not be joined.

when  4x+5 < 0

4x < -5

x < -5/4

f(x) = -(4x+5) = -4x-5

when 4x+5 ≥ 0

4x ≥ -5

x ≥ -5/4

f(x) = 4x+5

so f(x) =  { -4x-5   ,   x<-5/4

                4x+5   ,   x ≥-5/4 }

since, I x I =  { -x   ,   x<0

                        x    ,   x ≥0}

Therefore, we get the required piecewise-defined function with linear parts.

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Answer:

see explanation

Step-by-step explanation:

starting with the polygon on the left at vertex Z ( marked with x ) and going clockwise.

Similarly polygon on right starting with vertex D ( marked with x ) and going clockwise.

ZLXY ≅ DABC

the scale factor of ZLXY → DABC

is the ratio of corresponding sides

scale factor = [tex]\frac{DA}{ZL}[/tex] = [tex]\frac{9}{7.2}[/tex] = [tex]\frac{5}{4}[/tex]

Answer:

Answer: The line does not represent a direct variation because it does not go through the origin.

Answer:

-15by

Step-by-step explanation:

distribute

rearrange terms