Write the equation of the line in fully simplified slope-intercept form.
go
9
876
8
5
10 %
4
321
-12-11-10-9-8-7-6-5-4-3-2-1
-1
-2
2 3 750 0
-3
-4
-5
-6
5999 2
-7
-8
-9
-11
-12
1 2 3 4 5 6 7 8 9 10 11 12

The number of yards of fabric remaining, y, depends on the number of tote bags Tara sews, x is y = 12 - 1.25x.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, Tara bought 12 yards of fabric to make tote bags and each bag requires 1.25 yards of fabric.

The equation that describes the number of yards of fabric remaining, y, depends on the number of tote bags Tara sews, x is

y = 12 - 1.25x.

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Answer:

[tex]x=-9, \quad x=\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=(4x-1)(x+9)[/tex]

The roots of a function are the x-values for which the function equals zero.  Therefore, to find the roots, set the function to zero and solve for x.

Set the function to zero:

[tex]\implies f(x)=0[/tex]

[tex]\implies (4x-1)(x+9)=0[/tex]

Zero Product Property

If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Apply the zero product property:

[tex](4x-1)=0 \implies x=\dfrac{1}{4}[/tex]

[tex](x+9)=0 \implies x=-9[/tex]

Therefore, the roots of the given function are:

[tex]x=-9, \quad x=\dfrac{1}{4}[/tex]

Answer:

d is correct

Step-by-step explanation:

[tex].25p = 10[/tex]

[tex]p = 40[/tex]

So d is correct.

The number of races that were 10-kilometer long is 102.

An athlete ran a total of 1,500 kilometers in a race before retiring. The athlete completed 32 races that were at least 15 kilometers in length. The rest were 10-kilometer races. We need to find out the number of races that were 10-kilometer long.

Let the number of races that were 10-kilometers long be denoted by the variable "x". An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equal sign. We can write the equation as given below.

32×15 + 10x = 1,500

480 + 10x = 1,500

10x = 1,500 - 480

10x = 1,020

x = 1,020/10

x = 102

Hence, the number of races that were 10-kilometer long is 102.

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There is a 0.33 percent chance that a woman is the owner of each of the firms identified. Therefore, there is a 0.036 percent chance that women own ALL three of the called businesses.

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The probability that each of the firms called is owned by a woman is 0.33. Therefore, the probability that ALL three of the firms called are owned by women is:

percentage=0.33*0.33*0.33

percentage=0.035937

=0.036

There is a 0.33 percent chance that each of the businesses is run by a woman. As a result, there is a 0.036 percent chance that women own ALL three of the businesses mentioned.

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The probability that the component requires both painting and galvanizing is 0.06.

Considering the values provided in the question,

P(Painted) = 0.20

P(Galvanized) = 0.30

Both the events are independent of each other.

The probability of the part needs both painted and galvanized is

= P(Painted and Galvanized)

= P(Painted) × P(Galvanized)

= 0.20 × 0.30

= 0.06

Therefore, The probability of the part needs both painted and galvanized is 0.06.

The possibility of an event happening is determined by probability. We may need to forecast an event's result in a variety of real-world circumstances. The outcomes of an event may be certain or uncertain to us. In these circumstances, we say if there is a chance the event will happen or not.

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Answer: x=3

Step-by-step explanation:

Simplify equation to get 8x=24. Divide 24 by 8 to get x=3. Please give brainliest :D

Answer:

Step-by-step explanation:

First add 17 to both sides to isolate the variable (usually the one with the bigger coefficient is best)

subtract 15x from both sides to combine 23X and 15X terms

Divide by 8 to solve

The factored form of x² + 2x - 15 is (x + 5)(x - 3).

Factorisation is a process of finding the factors of algebraic equations and representing them in simple form instead of expanded form.

Therefore, let's factor x² + 2x - 15

x² + 2x - 15

let's find two numbers we can add to get 2 and multiply to get - 15. The two numbers are -3 and 5.

Therefore,

x² - 3x + 5x - 15

x(x - 3) + 5(x - 3)

(x + 5)(x - 3)

Therefore,

x² + 2x - 15 = (x + 5)(x - 3)

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Answer:

True

Step-by-step explanation:

f'(3) = 0 says the tangent line at x = 3 is horizontal.

f"(3) = 0 means the graph of  f  is concave up at x = 3.

Together, these tell you the graph has a local minimum at x = 3.  The graph is  U-shaped at the point where x = 3.

The quadratic regression model of the data is 0.007x² + 0.168x + 56.63 and the  the test score of a student who studies for 60 minutes is 94.114

Quadratic regression model:

Quadratic regression refers the process of determining the equation of a parabola that best fits a set of data.

The set of data is a given set of graph points that make up the shape of a parabola.

The general equation of the parabola is y = ax² + bx + c, where a can never equal zero.

Given,

Here we have the following data represents the amount of time Algebra II students at NVLA prepare for their math exams.

Now, we need to find the the quadratic regression model of the data and then, predict the test score of a student who studies for 60 minutes. Show your work.​

When we plot these value of the graphing calculator, then we get the following graph.

Through the graph we have identified that the value of

a = 0.007

b = 0.168

c = 56.63.

Therefore, the quadratic regression model of the data is 0.007x² + 0.168x + 56.63

And through the graph we have identified that  test score of a student who studies for 60 minutes is approximately 94.114.

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Answer:

The Answer is B

Step-by-step explanation:

Since 1.8 times 10 is bigger than 18% meaning its the only one that would be in correct descending order.

Answer:

Pretty sure it’s A

Step-by-step explanation:

18% is 18/100 which is then .18

1/8 is .125

1.8x10 is 18

And .188 is just .188

Answer:

x= 40° y= 66° z=106° ....

The value of angles are x = 40° , y = 66°, z = 106°

Since there are two parallel lines and two intersecting lines forming a triangle we will use the properties of lines and triangles to find out the value of x,y,z. First of all y = 66° because of the vertical angle theorem, which means that adjacent angles formed by the intersection of two lines are supplementary or equal to 180° degrees. The third angle of the triangle formed is 74°. Using the sum of all angles of the triangle is equal to 180° we can find the third angle of triangle x which is equal to 40°. Now z can be found using the property sum of two opposite interior angles which will come out to be 106°. Hence by this, we can find all the angles.

I hope this answer helps.

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Answer:

scale factor = 2

Step-by-step explanation:

the scale factor is the ratio of corresponding sides , polygon B to polygon A

in figure A the vertical side RS = 2 units

the corresponding vertical height in figure B = 4 units , then

scale factor = [tex]\frac{4}{2}[/tex] = 2

No, The scatter plot does not show a linear association

A graph is way of presenting data used by several disciplines.

There are many types of graphs and scatter plot is one of them.

scatter plot can be defined as set of dots plotted on a horizontal and vertical axis.

scatter plots can demonstrate the degree of connection, if any, between the values of observed quantities or events, they are crucial in statistics

The scatter plot does not show a straight line graph or a linear function. tracing the line shows a inverted shape of "s" which is not associated with linear functions.

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A rectangle that maximize the enclosed area has a length 800 yards and width is 800 yards. The maximum area is 640,000 square yards.

In the given question we have to find the maximum area of the rectangular area.

Liana has 3200 yards of fencing to enclose a rectangle.

So we know that the perimeter of rectangle is

P= 2(l+b)

Let length of the rectangle is x yards and width is y yards.

So the equation should be

2(x+y) = 3200

Divide by 2 on both side we get

x+y = 1600................(1)

As we know the area of rectangle is

A = xy

From the equation the value of y is 1600-x.

Now putting the value of y

A = x(1600-x)

A = 1600x-x^2

On differentiating

dA/dx = 1600-2x

Putting dA/dx=0

1600-2x=0

Subtract 1600 on both side we get

-2x= -1600

Divide by -2 on both side we get

x = 800 yards

Now putting the value of x in the y=1600-x

y=1600-800

y=800 yards

So the maximum area is

A= 800*800

A= 640,000 square yards

Hence, a rectangle that maximize the enclosed area has a length 800 yards and width is 800 yards. The maximum area is 640,000 square yards.

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The mean of the distribution is 24.444.

Given, that 87.3% of all homes have a large-screen tv. a sample of 28 homes is selected.

Now, we have to find the mean of the distribution

As, we know

E(x) = np

where, n is the sample and p is the probability of success

So, n = 28 and p = 87.3% = 0.873

Now, on using the formula we get,

E(x) = (28)(0.873)

E(x) = 24.444

So, the mean of the distribution is E(x) = 24.444

Hence, the mean of the distribution is 24.444.

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The length of the entire line which is subdivided according to golden ratio is 13.09 meters.

What is Golden Ratio?

The golden ratio is a special number approximately equal to 1.618

We find the golden ratio when we divide a line into two parts so that, the whole length divided by the long part is also equal to the long part divided by the short part

Let smaller part of a line be b and long part be a

Golden ratio = a + b/a = a/b = 1.618

According to the given question:

Length of smaller part of line = 5 meters

Let the longer length of the line be x

∴ Total length of line = 5 + x

Using Golden ratio to find the entire length of line

x/5 = 1.618

x = 8.09

Calculating length of entire line = 5 + x = 5 + 8.09 = 13.09

∴ Length of entire line is 13.09 meters

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Answer:

g(10) = -12

Step-by-step explanation:

Mean Value Theorem

If f is continuous on [a, b] and differentiable on (a, b), then there is a number c  such that a < c < b and:

[tex]f'(c)=\dfrac{f(b)-f(a)}{b-a}[/tex]

We are told that the function g(x) is continuous on the closed interval [8, 10] and differentiable on the open interval (8, 10).

Therefore:

Given:

As 8 < 8.5 < 10 then c = 8.5:

[tex]\begin{aligned} \implies g'(8.5)=\dfrac{g(10)-g(8)}{10-8}&=-9\\\\\dfrac{g(10)-6}{2}&=-9\\\\g(10)-6&=-18\\\\g(10)&=-12\end{aligned}[/tex]

Answer:

100

Step-by-step explanation:

2000*5 = 10000/100 = 100

Answer:

= (2x + 5y) * (2x - 5y)

Step-by-step explanation:

4x²-25y²
= (2x)² - (5y)²
= (2x + 5y) * (2x - 5y)

Answer:

[tex]\huge\boxed{\sf (2x + 5y)(2x - 5y)}[/tex]

Step-by-step explanation:

[tex]4x^2-25y^2[/tex]

Both of the terms are perfect squares.

[tex](2x)^2-(5y)^2[/tex]

= (2x + 5y)(2x - 5y)

[tex]\rule[225]{225}{2}[/tex]

The area of the triangle below is 224 inches squared.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

The area of a triangle  an be described as follows:

area of a triangle = 1 / 2 bh

where

Therefore, the area of the triangle can be found as follows:

b = 4t = 4(4) = 16 inches

h = 7(t) = 7(4) = 28 inches

Therefore,

are of the triangle = 1 / 2 × 16 × 28

are of the triangle = 8 × 28

Therefore,

are of the triangle = 224 inches²

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Answer:

224 inches squared.

Step-by-step explanation:

have great day

Answer:

−2 c negative 3 over 5 is located on the right of 0 and −2 is located on the left of 0 d negative 3 over 5

Step-by-step explanation:

Answer:

let the width be x

perimeter= 2(l+b)

78= 2(7 +x)

78-14= 2x

32= x

this must be the ans

Answer:

(-7, -7)

Step-by-step explanation:

         y = x; x = y

9x - 2y = -49

9(y) - 2y = -49

9y - 2y = -49

7y = -49

÷7    ÷7

----------------

y = -7

y = x

-7 = x

or

9x - 2y = -49

9x - 2(-7) = -49

9x + 14 = -49

      -14     -14

-------------------

9x = -63

÷9    ÷9

---------------

x = -7

(-7, -7)

I hope this helps!

Answer:The equation 8.9+(6.4 +7.2) is correctly applying the Associative Property of Addition.

Step-by-step explanation:

The Associative Property of Addition states that when adding three or more numbers, the order in which the numbers are added does not affect the sum.

Answer:

105

Step-by-step explanation:

Lily's time is spent in biology class on lesson is 1 hour or 60 minutes.

Time of one class = 1 hour and fifteen minutes

As we know, 1 hour = 60 minutes

So, time of a class = 60 + 15

Performing addition

Time of a class = 75 minutes

Time spent in talking in biology class = 5 minutes

Time spent in reviewing old homework = 10 minutes

Total time spent = 15 minutes

Remaining time = 75 - 15

Performing subtraction

Remaining time = 60 minutes

Hence, 60 minutes or 1 hour is spent on the lesson.

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Answer:

All answers other than {7, 11, 15, 19}

Step-by-step explanation:

If we have a Set A, it is a subset of Set B if every element in A is also in B. Set A is a proper subset of Set B if it is a subset of Set B but not equal to Set B.

Using the above information, we know that the proper subset of {7, 11, 15, 19} cannot be itself, so we can rule out the second option.

All of the other options are sets where every element of that set is also an element of {7, 11, 15, 19}. The 3rd option is an empty set, which is a proper subset of any set other than itself, so it is a proper subset of {7, 11, 15, 19}.

Therefore, all of the options except for {7, 11, 15, 19} are valid.