y=(x+3)(x-2)(x-r) with a y int. of 24. solve for r?

Answer: Let x be the amount of Jane's paycheck.

We know that:

surfboard cost = $289

and jane used $68 more than two fifths of her last paycheck to purchase a new surfboard.

So we can set an equation as:

surfboard cost = 2/5 x + $68

289 = 2/5 x + 68

Now we can substitute the known value in the above equation:

289 = 2/5 x + 68

221 = 2/5 x

x = (2215) / 2 = 115 = 55

So the amount of her paycheck is $55.

Therefore, jane's last paycheck was $55.

Step-by-step explanation:

Answer: she checked out 9 nonfiction books

Step-by-step explanation:

18-9=9

Answer:

1332

[tex]7x))742 \sqrt[ \sqrt[241]{?} ]{?} [/tex]

Answer:

Refer to the step-by-step.

Step-by-step explanation:

[tex]Given:\\ \lim_{x\to \22} \frac{1}{1-x}[/tex]

Plug in the value of 2 in for x. We get,

⇒ [tex]\frac{1}{1-(2)}[/tex] ⇒ [tex]\frac{1}{-1}[/tex] ⇒ -1

So,  [tex]\\ \lim_{x\to \22} \frac{1}{1-x} = -1[/tex]

I think it's 84 I'm not good with math though I multipled 7 and 12

an equation to model this situation is 200 = x+ 2 *t and 220 pounds is  his total weight after 30 weeks

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

x  initial weight of John

weight gained 1 week = 2 pounds

no. of weeks = 20=t

Final weight of John = 200 pounds

200 = x+ 2 *t ---------(1)

no. of weeks = 20=t

From eq(1)

x = 160 pounds= intial weight

So,

[tex]y = 160+ 2 *t\\y = 160 + 2X 30\\y= 160+ 60\\y = 220 pounds[/tex]

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The graph of the system of linear inequalities 2x + y < 1 and y ≥ 12x + 2 is attached.

An equation shows how two or more numbers and variables are related to each other.

The standard linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

Inequalities is used for the non equal comparison of numbers and variables.

The graph of 2x + y < 1 and y ≥ 12x + 2 is attached.

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Answer: The club members estimate that they will sell 100 tote bags when the price is $11 each, and for every price increase of $1, they estimate they will sell 10 fewer bags. If the price increases to $13, then this is a $2 increase from the original price, so we can calculate the number of fewer bags they estimate they will sell:

10 fewer bags per $1 increase * $2 increase = 20 fewer bags

To find the number of bags they estimate they will sell when the price is $13, we can subtract this decrease from the original number of bags they estimate they will sell:

100 bags - 20 fewer bags = 80 bags

To find the revenue in dollars, we can multiply the number of bags they estimate they will sell by the price of the bags:

80 bags * $13 per bag = $1040

So the estimated revenue when the bags are priced at $13 each is $1040

Step-by-step explanation:

Radical form is rather simple. It refers to the form of a number or algebraic expression where the number or expression is contained under a radical. The answer is [tex]$-8 \sqrt{2} x+30 \sqrt{6} x^2$[/tex].

Simply put, simplifying a radical eliminates the need to find any more square roots, cube roots, fourth roots, etc. when expressing it in its simplest radical form. Additionally, it entails eliminating any radicals from the denominator of a fraction.

A radical notation is an expression that makes use of a root, such as the square or cube root.

The fundamentals of radical form are simple. When a numerical or algebraic expression is under a radical, the term refers to that version of the expression. To improve that, we can manipulate a number or an algebraic expression in radical form to convert it to simplest radical form.

[tex]\text { Simplify }-x \sqrt{2} 8+10 \sqrt{6} 3 x^2:-\\\\8 \sqrt{2} x+30 \sqrt{6} x^2 -x \sqrt{2} \cdot 8+10 \sqrt{6} \cdot 3 x^2 \\\\& =-8 \sqrt{2} x+30 \sqrt{6} x^2\end{aligned}$$[/tex]

Therefore, the answer is [tex]$-8 \sqrt{2} x+30 \sqrt{6} x^2$[/tex].

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Miguel only wins $2 in one of the six tournaments, and he only loses $1 in the other five.

Probability theory, a subfield of mathematics, gauges the likelihood of an event or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a large group of equally likely outcomes that result in a certain occurrence compared to the total number of outcomes.

given

We identify the chips so that we can check all six events. Let's say two chips each have a designated 1: R1 and B1 (as if they were red and blue). Let's now consider all possible combinations.

There are 4 options for the first chip, and 3 options remain for the second chip.

There are 12 combinations as a result. There are just six combinations since we don't care about the sequence; for instance, R1, 3 is the same as R1, 3 to us. (R1, B1), (R1, 3), (R1, 5), (B1, 3), and (B1, 5) are the combinations (3,5) Miguel only wins $2 in one of the six tournaments, and he only loses $1 in the other five.

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Answer: x = 4

Step-by-step explanation:

Based on the given distances and angle measures, DE is congruent to XY, DF is congruent to ZX, and EF and ZY are congruent.

This means that:

[tex](4x-1)=15[/tex]

Simplify and solve for x.

[tex]4x-1=15\\4x=16\\x=4[/tex]

So, x = 4

Answer: q1=11 q2=15 q3=20

Step-by-step explanation:

Answer:

125 per minute.

Step-by-step explanation:

To get this answer, you simply need to divide 500 (the amount that it can make it 4 minutes.) by 4. (The amount of time it takes to make 500 copies.)

You get the answer 125.

The value of x for the equation 4(5x - 4) = 64( 2x + 12) is x = -7.25

What is equation ?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.

4(5x - 4) = 64(2x + 12)

20x - 16 = 128x + 768

20x - 128x = 768 + 16

-108x = 784

x = -7.25

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The equation 3y + 2 = 2x is not a direct variation

From the question, we have the following parameters that can be used in our computation:

Variation = direct variation

3y + 2 = 2x

A direct variation is represented as

y = kx

Where k is the constant of proportion

When the equations y = kx and  3y + 2 = 2x are compared, we can see that

The equation 3y + 2 = 2x has a constant term

Hence, the equation is not a direct variation

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From the graph, it can be seen that it took 4 days to mow 30 lawns. 12 lawns can be mowed in 1 days.

Analyzing numerical data can be done using graphical representation. It uses a diagram to show the relationship between the data, ideas, information, and concepts. One of the most crucial learning strategies, it is also simple to understand. The kind of information in a particular domain is always a factor.

Examples include pictures, sketches, line art, graphs from mathematics, charts, diagrams, typography, numbers, symbols, geometric patterns, engineering drawings, or other images. Often, text, illustration, and color are combined in graphics.

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Total of 44 weeks does one bag last.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator

Total amount of cat food = 33 lbs in one bag

Amount of food cat eats each week = 3/4 lb = 0.75 lb

Number of weeks one bag of cat food last = 33 / 0.75

                                                                       = 44

Hence one bag of cat food will last for 44 weeks.

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As a result, AG = NI according to the ASA congruency, where p is the midpoint between AN and AG=NI.

Given that it has three sides and three vertices, a triangle is a polygon. It is one of the fundamental geometric shapes. Triangle ABC is the term used to refer to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon because it has three sides and three corners. The points at which the three sides of the triangle converge are referred to as its corners. Three triangle angles can be multiplied to get 180 degrees.

given

p is the midpoint of GI

GP = PI , PN = AP ( as mid point )

∠APG = ∠IPN ( as vertical opp. angle )

∠A = ∠N ( given )

so by ASA congruency ΔAPG = ΔIPN

As a result, AG = NI according to the ASA congruency, where p is the midpoint between AN and AG=NI.

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In math, a pattern is defined as a sequence of repeating objects, shapes or numbers. We can relate a pattern to any type of event or object.

A pattern has a rule that identifies the items that are part of the pattern and those that are not. A pattern in mathematics is a series of recurring figures, shapes, or numbers.

Any kind of event or thing can be connected to a pattern. A pattern has a rule that identifies the items that are part of the pattern and those that are not. A specific set of rules must be taken into account in order to create a full pattern.

We must first comprehend the nature of the sequence and the distinction between the two successive numbers provided in the pattern in order to apply these rules. 

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Answer: Here are two possible expressions for the total cost for Hazar and his friends:

The first expression is to add the cost of game rental and drinks and snacks for all the four friends

6x + 4x =10x where x is the number of friends

Second expression is to calculate the cost for each of the 4 friends and then add it together

(6 + 4) * 4 = 40

Both the expressions represent the same outcome, that is the total cost of $40 for Hazar and his friends to play video games.

It's depend on how you want to represent it, both are correct and represents the same outcome.

Step-by-step explanation:

Answer:

9 cups

Step-by-step explanation:

1 pt = 2 c
4 1/2 x 2 = 9 c

The equation of the line that passes through the points (-2,3) and (2,7) is:

x-y=-5

Therefore, option(C) x-y= -5 is correct answer.

Step-by-step solution:

The algebraic representation of a line's equation is the collection of points that make up the line in a coordinate system.

Given the line passes through the points (-2,3) and (2,7)

So, the equation of the line passing through the two points is given by:

[tex]\frac{y-y_{1} }{y_{2}-y_{1} } =\frac{x-x_{1} }{x_{2} -x_{1} }[/tex]

[tex]\frac{y-3 }{7-3} } =\frac{x-(-2) }{2-(-2) }[/tex]

[tex]\frac{y-3}{4} =\frac{x+2}{2+2}[/tex]

[tex]\frac{y-3}{4} =\frac{x+2}{4}[/tex]

[tex]y-3 = x+2[/tex]

Now rearranging the above equation:

x - y + 3 + 2 = 0

x - y + 5 =0

Therefore, the equation of the line passing through the points (-2,3) and (2,7) is: x-y=-5

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Therefore , the solution of the given problem of square comes out to be the ABCD  square is 18 inches

The side length of a square ABCD is 18 inches Each side of square ABCD is 18 inches The midpoints of ABCD are joined to form a square MNOP The figure is attached below

Here,

We need to find the side length of square MNOP

AMN form a Right angle triangle

We know AM =9  and AN= 9

To find MN , use Pythagoreans theorem

MN2=AM2+AN2

MN2=9square+9 square

MN2=162

Take square root on both sides

MN=9 root 2

so the side of the square MNOP is  9 square root 2 inches

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Divide or multiply the output by a constant to expand or contract the graph in the y direction.

2f (x) is stretched by a factor of 2 in the y direction, and f (x) is contracted by a factor of 2 in the y direction (or stretched by a factor of ).

The y = f (x), y = 2f (x), and y = x graphs are shown here.

This is the difference quotient:

f (x + h) - f(x ) /h

quotient of difference

and f(x) = x3; thus, the difference quotient for this function is

(x + h)³ - x³ / h

quotient of difference.

The numerator can now be simplified by expanding (x + h)3 as (x + h)2(x + h), however I advise factoring (x + h)3 - x3 as a difference of cubes.

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Therefore , answering the questions, we can state that a factorial radicals is streamlined, or in its most basic form, when the user ’s behalf has no square components.

Radical is the name for the symbol for the scale factor or nth root. Root expressions are expressions that have square roots. Radicand: An expression or value enclosed by a radical symbol. Examples are the radicalism 7, 2y+1, and on and on. Radicals can also be described using the terms below: Equations that contain radicals are known as radical equations. The expression contained within the square root is referred to as the "root expression."

Here,

We refer to a sum of squares radical as being simplified or in its purest form when the radicand contains no square components.

The simplest form of a radical also exists when the user ’s behalf is not a fraction.

so that radical = 2√x / x

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Answer:

-3

Step-by-step explanation:

Answer: The slope whould be 3

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: 3

y-intercept:

(0,0)

x|y

----

0|0

1|3

The trigonometric functions are sin A = 12/13, sin B = 5/13, cos A = 5/13, cos B = 12/13, tan A = 12/5, and tan B = 5/12 as fractions.

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

The trigonometric functions are given in the question

Apply the sine ratio on the given right triangle

⇒ sin(θ) = Perpendicular/hypotenuse

sin A = BC/AB

sin A = 12/13

sin B = AC/AB

sin B = 5/13

Apply the cosine ratio on the given right triangle

⇒ cos(θ) = Base/hypotenuse

cos A = AC/AB

cos A = 5/13

cos B = BC/AB

cos B = 12/13

Apply the tangent ratio on the given right triangle

⇒ sin(θ) = Perpendicular/Base

tan A = BC/AC

tan A = 12/5

tan B = AC/BC

tan B = 5/12

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For the given value of domain and range , By observing the figure, The correct answer are options B,C and E.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

A function's domain and range are the set of all possible inputs and outputs, respectively. A function's domain and range are crucial components. The range includes all of the function's output values, whereas the domain includes all potential input values from the set of real numbers.

domain : (x | x [tex]\geq[/tex] 3/2)

range : (-∞ , 2)

For these values, Option B , C and E holds that they exists when x [tex]\geq[/tex] 3/2 and it's output that is y exists between  (-∞ , 2).

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Answer:What is a triangle with 2 congruent sides and an obtuse angle

Step-by-step explanation:

Answer:

The estimated total cost for 20 spinners is $3.2.

Step-by-step explanation:

To find out how much Braulio would pay for 20 spinners, we can first calculate the unit rate (price per spinner), and then use that to estimate the total cost of 20 spinners.

The unit rate is the price of a single item (spinner in this case) divided by the number of items. In this case, the unit rate is:

$5.44 / 34 spinners = $0.16 (approximately)

We can now use this unit rate to estimate the total cost of 20 spinners by multiplying it by the number of spinners:

20 spinners * $0.16/spinner = $3.2

So the estimated total cost for 20 spinners is $3.2.

In this process, we first found out the unit rate i.e how much one spinner costs, which is $0.16. We then multiplied the unit rate with the number of spinners we wanted to buy. By doing this, we were able to estimate the total cost of buying 20 spinners. It's important to note that this is an estimate, as the actual cost may be slightly different due to rounding or other factors. However, the unit rate method provides a useful way to quickly estimate the cost of a purchase when the unit price and quantity are known.