what three points are solutions to 2x-y =4

Answer:

As per above properties we have:

and

Simplifying the algebraic expression \(( x + 4 ) ( 2 x + 9 )\) will give an answer \(2x^{2}+17x+36\).

The technique of writing an algebraic expression in the most effective and compact form without altering the original expression's value is known as simplification.

The procedure involves gathering related phrases, which calls for adding or removing terms from an expression.

According to the distributive property of algebraic expressions, each term in an expression's sum or difference must be multiplied by a number outside of the parenthesis. A number is used as the value outside of the parenthesis with the total or difference.

Here the algebraic expression is:

\(( x + 4 ) ( 2 x + 9 )\)

Use the distributive property to simplify the expression,

⇒ \(( x + 4 ) ( 2 x + 9 )\)

⇒ \((x)(2x)+(x)(9)+(4)(2x)+(4)(9)\)

⇒ \(2x^{2} +9x+8x+36\)

⇒ \(2x^{2} +17x+36\)

Therefore, the solution will be \(2x^{2} +17x+36\) when the algebraic expression is simplified.

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Answer:

60

Step-by-step explanation:

Let the number of dog owners and cat owners be 4x and 5x

4x = 48

x = 48/4

x = 12

Therefore 5x = 5×12

= 60

Answer:

1/ y= 1/5x

2/ y= 3/5x

3/ y= 6/5x

Step-by-step explanation: Our original equation is y=mx+b

Where m is the slope and b is the y-intercept.  Since there is no y-intercept, so we just say it is 0 and only put in the slope to the equation.

In order to restore general equilibrium, price adjustments are undertaken. In the short run, prices increase, and when expectations rise above actual inflation, prices continue to climb until they do. answer is option (d). price level.

The term "aggregate demand" in macroeconomics refers to the overall demand for locally produced commodities, including capital goods, consumer products, and services. Aggregate demand is calculated as the total of spending by consumers, corporate and governmental investment spending, and net imports and exports.

The overall demand of final products and services in an economy at any particular time is known as aggregate demand, often referred to as domestic final demand. Effective demand is a frequent word for it, however occasionally this phrase is used to distinguish between two things. This is the demand for a nation's gross domestic product.

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Answer:

skewed right

Step-by-step explanation:

there is a concentration of lower values to the right and a concentration of higher values to the left

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Explanation:

Let's label the friends as A,B,C,D.

Person A has a probability of 7/16 when it comes to ordering a certain color of cotton sweatshirt.

Then 6/15 is the probability for person B. Note how the 7 and 16 drop by 1 for each. This is because no repeats are allowed. If person A goes for a blue sweatshirt, then person B cannot select blue as well.

Person C's probability is 5/14 and person D has a probability of 4/13

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

So we have these fractions: 7/16, 6/15, 5/14, 4/13

Once again, we have the numerators and denominators counting down by 1 each time.

Multiplying those fractions gets us...

(7/16)*(6/15)*(5/14)*(4/13)

(7*6*5*4)/(16*15*14*13)

840/43680

(1*840)/(52*840)

1/52

So if you did 52 trials of this, then you should expect about 1 of those trials is where each friend orders a different color cotton sweatshirt.

1/52 = 0.0192 = 1.92% approximately

So this happens about 1.92% of the time.

Answer:

Step-by-step explanation:

d

Answer:

Step-by-step explanation:

its a

Answer:

I believe it C

Use the formula of Area of rectangle

which is

\(length \times breadth \: (l \times b)\)

Answer:

A = 84 square inches

Step-by-step explanation:

7 * 24 = 168

168 / 2 = 84

The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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1. the exact length of the arc is (2/9)π

2. the approximate length of the arc is 3.5 inches.

1. To find the exact length of the arc intercepted by a central angle of 8° on a circle of radius r, we can use the formula:

Arc length = (θ/360) * 2πr

where θ is the central angle and r is the radius.

Given that the central angle is 8° (θ = 8°) and the radius is 5 inches (r = 5 in), we can substitute these values into the formula:

Arc length = (8/360) * 2π * 5

Arc length = (1/45) * 2π * 5

Arc length = (2/9)π

Therefore, the exact length of the arc is (2/9)π.

2. To find the approximate length of the arc, rounded to the nearest tenth of an inch, we need to calculate the numerical value using a decimal approximation for π.

Using the approximate value for π as 3.14159, we can calculate:

Arc length ≈ (2/9) * 3.14159 * 5

Arc length ≈ 3.49077

Rounded to the nearest tenth of an inch, the approximate length of the arc is 3.5 inches.

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Any non-empty subset of Rⁿ, where any linear combination of vectors in S is again a vector in S, is a subspace of Rⁿ.

Given that S is a non-empty subset of Rⁿ such that any linear combination of vectors in S is again a vector in S. Therefore, to prove that S is a subspace of Rⁿ, we have to show that S satisfies three conditions. These conditions are as follows;

The condition for being a subspace of Rⁿ

Firstly, a subspace must be closed under addition. In other words, if x and y are any two vectors in S, then their sum x + y must be in S.

Secondly, a subspace must be closed under scalar multiplication. In other words, if x is any vector in S and c is any scalar, then cx must be in S.

Finally, a subspace must contain the zero vector, denoted by 0.S is a subspace of Rⁿ

From the conditions mentioned above, we can show that S is indeed a subspace of Rⁿ, since S satisfies all the required conditions.

Therefore, we can say that any non-empty subset of Rⁿ, where any linear combination of vectors in S is again a vector in S, is a subspace of Rⁿ.

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Answer: \(5\dfrac{1}{4}\ \text{cups of flour}\)

Step-by-step explanation:

Given

Klarissa requires \(1\ \frac{3}{4}\) cups of flour to make a recipe

Convert mixed numeral to fraction

\(\Rightarrow 1\dfrac{3}{4}=\dfrac{4+3}{4}\\\\\Rightarrow \dfrac{7}{4}\)

If she wants to triple the recipe then,

\(\Rightarrow 3\times \dfrac{7}{4}=\dfrac{21}{4}\\\\\Rightarrow \text{or}\ 5\dfrac{1}{4}\ \text{cups of flour}\)

Answer:

x = -2

Step-by-step explanation:

y = -3x + 2.5

if y = 8.5 then:

8.5 = -3x + 2.5

-3x = 6

x = -2

Answer:

  24.1 billion

Step-by-step explanation:

One way to write the logistic function is ...

  P(t) = AB/(A +(B-A)e^(-kt))

where A is initial value (P(0)), and B is the carrying capacity (P(∞)). We are told to use relative population growth in the 1990s as the value for k.

In billions, we have ...

  A = 5.3

  B = 100

  k = 0.02/5.3 ≈ 0.003774 . . . . . relative growth rate at 20 M per year

  t = 2450 -1990 = 460

  \(P(t)=\dfrac{530}{5.3+94.7e^{-0.003774t}}\\\\P(460)=\dfrac{530}{5.3+94.7e^{-1.73604}}\approx \boxed{24.1\quad\text{billion}}\)

Answer:

3750

Step-by-step explanation:

Answer:

25,000 x 0.15 =3750

Step-by-step explanation:

Answer:

(x+10)²=36

Step-by-step explanation:

x²+28x+64=8x

x²+28x-8x+64=0

x²+20x+64=0

(x+a)²=x²+2*a*x+a²

x²+2*10*x+64=0 //a=10

x²+2*10*x+10²+64=10² // Add 10² to both side

(x+10)²+64=100 //x²+2*10*x+10²=(x+10)²

(x+10)²=100-64

(x+10)²=36

Answer:

(a+b)^2 = a^2 + 2ab + b^2

(a-b)^2 = a^2 - 2ab + b^2

(a-b)(a+b) = a^2 - b^2

Step-by-step explanation:

The length of the height of the wall directly opposite Freda is 459.65 feet

Given, the following parameters:

Angle above = 38 degrees

Angle below = 46 degrees

Base of the wall = 253 feet

Represent the height below her with x

So, we have

tan(46) = x/253

This gives

x = 253tan(46)

Represent the height above her with y

So, we have

tan(38) = y/253

This gives

y = 253tan(38)

The height of the wall h is the sum of the above heights

So, we have

h = 253tan(46) + 253tan(38)

Evaluate

h = 459.65

Hence, the height of the wall is 459.65 feet

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Answer:

y = 12

Step-by-step explanation:

set up equation for 'y varies inversely with x':  y = k/x

where 'k' is the constant of variation

8 = k/6

therefore, k = 48

value of y when x = 4:  y = 48/4; therefore, y = 12

Thevalue of y when x is 4 is 12

If y varies inversely as x, this is expressed as;

If x = 8 and y=6

k = xy

k = 8 * 6

k = 48

To get the value of y when x = 4

y = k/x

y = 48/4

y = 12

Hence the value of y when x is 4 is 12

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'dz' because d and z are different values.

Answer:

t-t

Step-by-step explanation:

In which the altitude from D to side AB bisects AB, the angles of the rhombus are: 120, 60, 120, and 60.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’ meaning “corner.”

To solve this question, we need to know the basic theory related to the quadrilateral. As we know rhombus is a type of quadrilateral and also It is a special case of a parallelogram, whose diagonals intersect each other at 90 degrees. Here, by using various theorems or properties we will Find the angles of the rhombus.

Given that ABCD is a Rhombus and DE is the altitude on AB then AE = EB

In a △AED and △BED,

DE = DE (common line)

∠AED = ∠BED (right angle)

AE = EB (DE is an altitude)

∴ △AED ≅ △BED (SAS property)

∴ AD = BD (by C.P.C.T)

But AD = AB ( Sides of rhombus are equal)

\(\rightarrow \sf AD = AB = BD\)

∴ ABD is an equilateral triangle.

\(\sf \therefore\angle A = 60^0\)

\(\sf \rightarrow\angle A =\angle C = 60^\circ\) (opposite angles of a rhombus are equal)

Always, when we add adjacent angles of a rhombus, it is supplementary in nature.

\(\sf \angle ABC + \angle BCD = 180^0\)

\(\sf \rightarrow \angle ABC + 60^0=180^0\)

\(\sf \rightarrow \angle ABC = 180^0-60^0=120^0\)

\(\sf \therefore \angle ABC = \angle ADC = 1200\). (opposite angles of rhombus are equal)

∴ Angles of rhombus are ∠A = 60° and ∠C = 60°, ∠B = ∠D = 120°.

Therefore, option (B) is the correct answer.

Note: Rhombus has all its sides equal and so does a square. Also, the diagonals of any square are perpendicular (means 90°) to each other and bisect the opposite angles. Therefore, a square is a type of rhombus. In rhombus the opposite angles are equal to each other. Also, in rhombus the diagonals bisect these angles.

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ABCD is a rhombus in which Altitude from D to side AB bisects AB. Find the angles of the rhombus? Altitude from D to side AB bisects AB.

A. 110, 70, 110, 70

B. 120, 60, 120, 60

C. 125, 55, 125, 55

D. 135, 45, 135, 45

The events are dependent "d". And the probability of selecting a number less than 6 both times is 5.3%

The probability of an event without replacement implies that once an item is drawn, then we do not replace it back to the sample space before drawing another item.

The events are dependent since the probability of selecting a number on the second draw will depend on what number was selected on the first draw.

Total possible outcome = 20

numbers less than 6 = 5

probability of both selected are less than 6 = 5/20 × 4/19

probability of both selected are less than 6 = 1/19

1/19 in percentage = 1/19 × 100 = 5.3%.

Therefore, the events are dependent "d". And the probability of selecting a number less than 6 both times is 5.3%.

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Answer:there were 100 adults  and 350 children tickets sold .

Step-by-step explanation:

Step 1

let number of adult tickets sold be represented as  x

and that of children be  y

such that the total number of adult and children who attended the center will be expressed as

x+ y = 450------equation 1

 and the total cost of tickets sold can be expressed as

4x+ 1.50 y= 925,...equation 2

Step 2--Solving

x+ y = 450------eqn1

4x+ 1.50 y= 925,...eqn 2

 By elimination method , Multiply equation 1  by 4 and subtract equation 2 from  the new equation  formed

4x+ 4y= 1800 ----- eqn 3

-4x+ 1.50 y= 925 eqn 2

2.5y=875

y= 875/2.5

y=350

to fnd x

x+ y= 450

x= 450- 350

x= 100

Therefore there were 100 adults  and 350 children tickets sold .

The following system of inequalities is represented by the graph

x+y>3

-x+y< -4

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

Consider the  inequalities:

x+y>3-------(1)

-x+y< -4------(2)

Find x and y intercepts of both by considering them as equations by using equal sign in the place of  inequality sign

x+y=3-------(3)

-x+y= -4------(4)

Find x and intercepts of these 2 equations:

we get x intercept when y=0 ( substitute y=0 into the respective equations and find x)

we get y intercept when x=0  ( substitute x=0 into the respective equations and find y)

x intercept of (3) is (3,0)

y intercept of (3) is (0,3)

x intercept of (3) is (4,0)

y intercept of (3) is (0,-4)

plot these points on a the plane and join them with lines

use dotted line and shade under the lines because of less than symbol

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Another term that accountants use to refer to "cost recovery" is "cost reimbursement."

In accounting, "cost recovery" refers to the process of recouping or recovering the expenses incurred by a company through various means such as sales revenue, reimbursements, or cost allocation.

Another term commonly used to describe this concept is "cost reimbursement." It signifies the reimbursement of costs to the company, ensuring that the expenses are covered and recovered, often through reimbursement agreements with clients or partners.

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To determine how many pieces of the press must be purchased, we need to consider the production rate, operating hours, efficiency, and scrap rate.

Number of units processed per day = 10,000

Machine efficiency = 95%

Punching operation time = 10 seconds

Number of shifts per day = 2

Number of hours per shift = 8

To calculate the required number of presses, we can use the following formula:

Number of presses = (Number of units processed per day / (Machine efficiency * Number of shifts * Number of hours)) * (Punching operation time / 3600)

Number of presses = (10,000 / (0.95 * 2 * 8)) * (10 / 3600) = 52.08

Therefore, approximately 52 presses would be needed to meet the production requirements.

If the press has a scrap rate of 10%, we need to consider the effect of scrapped units on the required number of presses.

Number of scrapped units per day = 10,000 * 0.10 = 1,000

Number of units that can be reworked = 1,000 * 0.70 = 700

To modify the formula for the new scenario, we subtract the reworked units from the total units processed per day:

Number of units processed per day (after rework) = 10,000 - 700 = 9,300

Number of presses (after considering scrap and rework) = (9,300 / (0.95 * 2 * 8)) * (10 / 3600) = 48.48

Therefore, approximately 48 presses would be needed when considering the scrap rate and rework capability.

The new answer is different from Exercise 11 because the scrap rate reduces the effective production rate, resulting in a lower requirement for punch presses. By accounting for scrap and rework, the company can optimize its resource allocation and production planning to meet the desired output while considering the potential loss due to scrap.

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