Determine the x- and y-intercepts of the graph of x+2y=−4 .

Then plot the intercepts to graph the equation.

Keyboard Instructions
Initial graph state
The horizontal axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).
The vertical axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).

Based on the number of members in the Westview Journalism Club, the amount that each student should raise on average to meet the goal is $40.

The amount that the students would have to raise is the amount that is remaining from the amount already raised. This can be found as:

= Amount that club needs to raise - Amount already raised

= 2, 100 - 1, 180

= $920

The average amount that each student has to raised to meet the target would then be based on the number of students in the club which is 23 members.

The average amount is therefore:

= Amount that still needs to be raised / Number of students in the Westview Journalism Club

= 920 / 23

= $40

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If one item is chosen at random, the probability that it is less than 13.1 inches long is equal to 0.4176.

First of all, we would determine the z-score of this data set. Mathematically, the z-score of a given sample score in a normal distribution can be calculated by using this formula:

Z-score = (x - μ)/σ

Where:

Substituting the given parameters into the formula, we have;

Z-score, z = (13.1 - 13.6)/(2.4)

Z-score, z = -0.5/2.4

Z-score, z = -0.208

If one item is chosen randomly, the probability that it would be less than 13.1 inches long is given by this mathematical expression:

P(x < 13.1) = P(z < -0.208)

P(z < -0.2083) = 0.4176.

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Answer:

choose 2nd option

Step-by-step explanation:

Answer:

4/8 and 8/16

Step-by-step explanation:

Multiply 1/2 and 3/4 to find a common fraction between them (4/8) then multiply that fraction by any number greater than 1 to find another fraction equivalent

Answer:

Avi

$21.61

Step-by-step explanation:

I = Prt

Sari: I = Prt = $1230 × 0.045 × 4 = $221.40

Avi: I = Prt = $1105 × 0.055 × 4 = $243.01

$243.01 - $221.40 = $21.61

Answer:

Avi

$21.61

The estimates for the number of transistors per IC, using an exponential function, are given as follows:

The format of an exponential function is presented as follows:

[tex]y = ab^\frac{x}{n}[/tex]

In which the parameters of the function are listed as follows:

Moore's Law states that the number of transistors per IC doubles every two years, hence the values of parameters b and n both have values of two, hence:

b = 2, n = 2.

The number of transistors per IC in the reference year of 1972 was of 4000, hence the initial value is of:

a = 4000.

Then the exponential function is:

[tex]y = 4000(2)^{\frac{x}{2}}[/tex]

2012 is 2012 - 1972 = 40 years after 1972, hence the estimate is given as follows:

[tex]y = 4000(2)^{\frac{40}{2}} = 4,194,304,000[/tex]

2040 is 68 years after 1972, hence hence the estimate is given as follows:

[tex]y = 4000(2)^{\frac{68}{2}} = 6.87 \times 10^{13}[/tex]

The chart is given by the image at the end of the answer.

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The width of the original rectangular slate is 14 inches.

A rectangle is an object that has four sides. The opposite sides are of equal length. A rectangle has two diagonals that are of equal length that bisect each other at right angles.

The area of a rectangle = length x width

Area of the new rectangular slate = (16 - 2) x (w - 2) = (16 x w) - 56

Area of the new rectangular slate = 14 x (w - 2) = 16w - 56

Area of the new rectangular slate = 14w - 28 = 16w - 56

In order to determine the value of w, take the following steps:

Combine similar terms together: 56 - 28 = 16w - 14w

Add similar terms together: 28 = 2w

Divide both sides of the equation by 2 : w = 28 / 2

w = 14

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3 11/20

Step-by-step explanation:

1 3/4+1 4/5=

7/4+9/5=

7/4x5/5=35/20

9/5x4/4=36/20

35/20+36/20=71/20=3 11/20

There are 28 groups of 1/5 are in 5.

And, The solution of the expression 5 ÷ 4/5 will be 25/4.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There is a number line shown in figure.

Now,

In a number line,

The groups of 1/5 in 5 = 28 - 0

                                   = 28

Thus, There are 28 groups of 1/5 are in 5.

And, The expression is,

⇒ 5 ÷ 4/5

Solve aa;

⇒ 5 × 5/4

⇒ 25 / 4

Thus, There are 28 groups of 1/5 are in 5.

And, The solution of the expression 5 ÷ 4/5 will be 25/4.

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The accumulated amount in the annuity if $80 is invested for 40 years at 6% is $25,709.04.

An annuity is when a series of payment is made over a specified period of time. An annuity can either be an ordinary annuity or a beginning annuity. An ordinary annuity is when the series of payment is made at the end of the period. A beginning annuity is when the annuity payment is made at the beginning of the period.

In this question, the annuity would last for 40 years and payments would be made twice a year.

The formula that can be used to determine the accumulated amount is:

Accumulated amount = annuity factor x payment

Annuity factor = {[(1+r)^n] - 1} / r

Where:

Accumulated amount = $80 x [{(1.03^80) - 1} / 0.03]

Accumulated amount = $80 x 321.36302

Accumulated amount = $25,709.04

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Answer:

14/9

Step-by-step explanation:7/15 divided by 3/10 equals 14/9

The number of kilometers that Brett and Julian would have run at the 3 / 5 point are:

Brett is running the 5k race at the Memorial Day race which means that when he runs 3 / 5 of the race, he would have ran a total of :
= Distance on Brett's race x Proportion ran

= 5 x 3 / 5

= 15 / 3

= 3 km

Julian on the other hand, is in the 10 k race which means that when they get to 3 / 5 of the race, they would have ran:

= 10 x 3 / 5

= 30 / 5

= 6 km

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The length shortest side of the quadrilateral is 5 inches

The length longest side of the quadrilateral is 10 inches;

The length of the other two sides of the quadrilateral will be 7 inches.

What is the perimeter of a quadrilateral?

The length of a quadrilateral's boundary, or what remains after joining all four of its sides to form a single line segment, is referred to as the quadrilateral's perimeter. As a result, a quadrilateral's perimeter is measured in the same linear units as its sides, such as meters, inches, centimeters, etc. We are aware that a quadrilateral's perimeter can be calculated by summing all of its side lengths. This can be stated using a straightforward formula. For instance, the formula for a quadrilateral ABCD's perimeter can be written as,

AB + BC + CD + DA = The perimeter

Let the length shortest side of the quadrilateral be x;

So, According to the question,

length longest side of the quadrilateral will be: 2x;

length of the other two sides of the quadrilateral will be (x +2) inches.

We have given that:

The perimeter of the quadrilateral is 29 inches.

So,

⇒ 2x + (x+2) +(x+2)+x = 29

⇒5x + 4 = 29

⇒5x = 29-4

⇒5x = 25

⇒x =5;

Hence,

the length shortest side of the quadrilateral is 5 inches

length longest side of the quadrilateral is 10 inches;

length of the other two sides of the quadrilateral will be 7 inches.

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The equation that represents the cost, y, and the number of bagels, x is D. y=1.25x

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

It should be noted that 1 dozen = 12

The equation the represents the information will be:

y = (15/12) × x

y = 1.25 × x

y = 1.25x

where x = number of bagels

The equation is y = 1.2x.

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According to the sum of the given supplementary angles, we find out that the value of x is 30.

It is given that ∠A and ∠B are supplementary where,

∠A = (4x + 30)° and,

∠B = (2x - 30)°

We have to find out the value of x.

We know that two supplementary angles add up to 180°.

Since ∠A and ∠B are supplementary angles, therefore

∠A + ∠B = 180°

=> (4x + 30) + (2x - 30) = 180°

=> 6x = 180°

=> x = 30

Thus, for the given supplementary angles, the value of x is 30.

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**According to the sum of the given supplementary angles, we find out that the value of x is 30.

It is given that ∠A and ∠B are supplementary where,

∠A = (4x + 30)° and,

∠B = (2x - 30)°

We have to find out the value of x.

We know that two supplementary angles add up to 180°.

Since ∠A and ∠B are supplementary angles, therefore

∠A + ∠B = 180°

=> (4x + 30) + (2x - 30) = 180°

=> 6x = 180°

=> x = 30 **

Answer:

Step-by-step explanation:

1=205

2=63

3=45

4=5

A graph of the given set of functions has been plotted and shown in the image attached below.

In Mathematics, a function simply refers to a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable to an output variable.

In Mathematics, a graph is a type of chart that is typically used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis).

By critically observing the graph of this set of functions (see attachment), we can reasonably infer and logically deduce that they both represent parallel lines, with function f(x) being transformed to produce function h(x).

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The area of triangle DEF, in square units, is given as follows:

4.08 units squared.

The area of a triangle is given by half the multiplication of it's base by it's height, as follows:

Area = 0.5 x base x height.

We consider the base as the segment DE, hence it's length is given by the distance between these two points, obtained as follows:

[tex]b = \sqrt{(8 - 3)^2 + (-6 - (-5))^2}[/tex]

[tex]b = \sqrt{26}[/tex]

b = 5.1 units.

The midpoint of the base is given as follows:

(5.5, -5.5).

As it is obtained with the mean of the coordinates.

The height is the distance between the midpoint of the base and the other vertex, hence:

[tex]h = \sqrt{(5.5 - 4)^2 + (-5.5 - (-5))^2}[/tex]

h = 1.6 units.

Hence the area of the triangle is obtained as follows:

Area = 0.5 x 5.1 x 1.6 = 4.08 units squared.

The problem asks for the area of the triangle, as shown in the image given at the end of the answer.

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The probability that at least one envelope is red envelope is 2/7.

Given:

A collection of envelopes consisting of two red envelopes three blue envelopes one green envelope and one yellow envelope if two envelopes are selected at random with replacement.

Total = 2 + 3 + 1 + 1

= 5 + 2

= 7

Number of possible outcomes = 7

Number of favorable outcomes = 2

Probability that at least one envelope is red envelope is = 2/7

= 0.2857

Therefore the probability that at least one envelope is red envelope is 2/7.

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Answer: 930$ and the expression is 1000$ - 70$ = 930$

Step-by-step explanation:

if she has under 100 dollars in her bank account every month for 10 months therefore multiplying it by 10 giving you 1000 but we cant forget about the 7$ monthly fee.  7 times 10 = 70   1000- 70 = 930$

Answer:

Step-by-step explanation:

Answer:

Lucas 29

Kiley 35

Jonathan 58

Step-by-step explanation:

Kiley = Lucas + 6

Jonathan = 2 x Lucas

Kiley + Lucas + Jonathan = 122

1. Replace Kiley and Jonathan with information we have

K + L + J = 122

(L+6) + L + (2L) = 122

4L + 6 = 122

4L = 122 - 6

L = 116/4 = 29

2. Replace Lucas with 29, you have

Kiley = 29 + 6 = 35

Jonathan = 2 × 29 = 58

Answer:

It looke like the point given is (1,2) and the slope is 3

Point slope form: y - 2 = 3(x -1)

Slope Intercept form: y = [tex]\frac{-1}{3}[/tex]x + 1

Step-by-step explanation:

Point slope  As they name implies, you need a point and a slope.  The picture is a little hard to read, but it looks like the point plotted is (1,2)  The slope is the change in y over the change in x.  It looks like from that point to get back on the line only using horizontal and vertical moves, we would move up three and 1 to the right to get back on the line at point (2,5).

The point slope form of a line is:

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex])    Plug in 2 for [tex]y_{1}[/tex] and 1 for [tex]x_{1}[/tex] amd 3 for m

y = 2 = 3( (x-1)

Slope intercept form:  As the names implies we need a slope and a yi-intercept.

The slope is [tex]\frac{-1}{3}[/tex].  Select a point on the line.  If you can only move veritacl and horizontal.  You  would move down 1 unit and three units to the right.  The y intercept is where the line crosses the y axis.  In this case 1

y = [tex]\frac{-1}{3} x + 1[/tex]

Answer:

I think 72,000 because since the weightlifter is lifting 72 and it is kg. It is turned into grams. multiplied by 1000 so 72000

The present value of an annuity is $736.01

We know that the formula for Present Value of Annuity:

PV = P * [1 - (1 + r)^(-n)]/r

where, PV = present value of an ordinary annuity

P = value of each payment

r = interest rate per period

n = number of periods

From given data:

P = $100, n = 10 and r = 0.06

So, the present value would be,

PV = 100 * [1 - (1 + 0.06)^(-10)]/0.06

PV = 100 * 7.3601

PV = $736.01

Therefore, the present value of an annuity is $736.01

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