I am stuck on this question, help please!

The slope is zero if the fraction's numerator is 0.

Given,

The line passes through the points;

(x₁, y₁) = (4, 2)

(x₂, y₂) = (-5, 2)

We have to find the slope of the line using slope formula;

Slope formula ;

m = (y₂ - y₁) / (x₂ - x₁)

Here,

m = (2 - 2) / (-5 -4 ) = 0/-9

Slope, m = 0

The slope is zero if the fraction's numerator is 0. If both points' y values are equal, this will take place. The graph would be a horizontal line and show that for all values of x, the y value remains constant.

That is,

The slope is zero if the fraction's numerator is 0.

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The mean and standard deviation of the length y of a randomly chosen cricket from the field is 3.048 and 0.635 respectively.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.

Given that, the length in inches of a cricket chosen at random from a field is a random variable x with mean 1.2 inches and standard deviation 0.25 inches.

μx = 1.2

σx = 0.25

2.54 cm = 1 in (given)

Y = 2.54x

Formula for mean and standard deviation =

μax+b = aμx + b

σax+b = aσx

Then Y = 2.54x we get,

μy = μ2.54x =  2.54μx = 2.54(1.2) = 3.048

σy = σ2.54x = 2.54σx = 2.54(0.25) = 0.635

Hence, The mean and standard deviation of the length y of a randomly chosen cricket from the field is 3.048 and 0.635 respectively.

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Answer: 65

Step-by-step explanation:

First we need to know what the 13 is 20% of. 13 is 20% of 65.

To make sure we are correct we must take 20% of the 65 which gives us 13 showing that 20% of the 65 skittles (13) are red.

Hope that helped :)

Answer:

-6

Step-by-step explanation:

2y=6x + c

(2 X 3) = (6 X 2) + C

C= - 12 + 6

= - 6

The numbers in bold are the point axes.

The linear function graphed on the grid will be g(x) = (15/2) x + 45. Option D is correct.

First, let us understand the linear equation:

When a graph is exhibited, a relationship between a number of variables results in a linear model. The variable will be of degree one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

From the graph, we are given the x-intercept is - 6, and the y-intercept is 45.

Substitute the given values in the above formula, we will get;

x / (-6) + y / 45 = 1

- 15x + 2y = 90

y = (15/2) x + 45

g(x) = (15/2) x + 45

Thus, the linear function graphed on the grid will be g(x) = (15/2) x + 45. Option D is correct.

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The approximation in meters that is same with a notebook paper measures 8 1/2 inches by 11 inches is

The approximation is solved by converting the given unit to metric

The conversion from inches to metric

meters = m

inches = in

The unit conversion factor is given as

1 meter = 39.3701 inches

? meter = 8 1/2 inches

cross multiplying gives

? * 39.3701 = 1 * 8 1/2

? = 8 1/2 / 39.3701

? = 0.2159 m

? = 21.59 cm

? =22

11 inches to metric

? = 11 / 39.3701

? = 27.94 cm

? = 28

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Answer:

32

Step-by-step explanation:

you are counting by 4 and if you count high enough it will give you that answer

According to the area and the perimeter of the rectangle, the value of l is either 4 or 8 and the value of w is either 4 or 8

Area and perimeter of rectangle:

Area of the rectangle is the region occupied by a rectangle within its four sides or boundaries.

Perimeter of the rectangle is add the lengths of all four sides.

Given,

The area of the rectangle is 32 and the perimeter of the rectangle is 24.

Now, we have to find the value l and w.

When we apply the value on the formula of area of rectangle, then we get,

32 = l x w

It can be rewritten as,

l = 32/w

Now, apply the value of perimeter of the rectangle, then we get,

24 = 2(l + w)

Apply the value of l as 32/w, then we get,

24 = 2(32/w + w)

12 = 32/w + w

12 = (32 + w²)/w

w² - 12w + 32 = 0

When we factorize the polynomial, then we get,

=> (w - 4) (w - 8) = 0

So, the value of w is either 4 or 8.

So, now we have to find the value of l through this value,

=> w = 4 => l = 32/4 = 8

=> w = 8 => l = 32/4 = 4

Therefore, the value of l is either 4 or 8.

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415 unsold ticket can the airline expect on morning flight by ratio .

What does a math ratio mean?

7:1 means 7/8 of the offered tickets are sold at night.  581 is 7/8 of the total night tickets offered

the total offered is 8/7 times 581 = 8(581/7) = 8(83) = 664 total offered for night & mornings.

3:5 ratio means 5/8 of the total offered go unsold  (5/8)(8)(83) = 5(83)= 415 unsold morning tickets

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For option, A point estimate p is = 5/800 = 0.00625

For option B 23860 large sample must be required to estimate p within 0.1% at 95% level of confidence.

Margin of Error = 0.1% = 0.001

The critical Z value for a 95% confidence level is 1.96

Required sample size, n = (z / E)² * p(1-p)

= (1.96 / 0.001)² * 0.00625 * (1 - 0.00625)

= 23860       (Rounding to the nearest integer)

Point estimate of difference in means = 89.5 - 55.9 = 33.6

The standard error (SE) of the sampling distribution of the difference in means is

SE = √{ (s_1²/n1) + (s_2²/n2) }

= { √(16.8²/78) + (8.2²/117) }

= 2.047721

Degree of freedom = min(n1 - 1, n2 -1) = min(78-1, 117-1) = 77

The critical value of t at df = 77 and the 99% confidence interval is  2.64

99% confidence interval of the difference in means is,

(33.6 - 2.64 * 2.047721 , 33.6 + 2.64 * 2.047721)

(28.19, 39.01)

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The balloons which have Helium (He) in them will be the smallest.

Because it has the tiniest molecule when compared to the other gases, helium (he) will leak out the most quickly. Helium molecules can enter the balloon through microscopic pores because they are the tiniest molecules. more quickly than the other gases.

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Answer:

x = -4; y = 2

Step-by-step explanation:

The solution is the point of intersection of the two lines.

The lines intersect at point (-4, 2).

Answer: x = -4; y = 2

Answer:

x = -4; y = 2

Step-by-step explanation:

the are the answers to both of the statements

The algebraic expression, in terms of y , for the number of stickers John has is given by 4(y + 2)

How to write algebraic expression?

Algebra refers to the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

Number of stickers Albert has = y

Number of stickers Latika has = y + 2

Number of stickers John has = 4(y + 2)

The expression for the number of stickers John has = 4(y + 2)

For instance, if y = 3

Number of stickers Latika has = y + 2

= 2 + 2

= 4 stickers

Number of stickers John has = 4(y + 4?2)

= 4(3 + 2)

= 4(5)

= 20 stickers

Therefore, the expression which can be used to represent the number of stickers John has is 4(y + 2)

Complete question:

Albert has y stickers.

Latika has 2 more stickers than Albert.

John has 4 times as many stickers as Latika.

Write down an expression, in terms of y , for the number of stickers John has.

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(a) The equation connecting t and s in the proportionality question is t = 300/s .

(b) The minimum number of staff that must be working so that the time taken is under 60 minutes is 20 staff.

Inversely proportional means that the two quantities behave opposite in nature.

(a) To find the equation connecting t and s we use the inverse proportionality technique

From the question,

To remove the proportionality sign, we intoduce a constant (k)

Given:

Substite these values into equation 1

Therefore the equation connecting t and s is

(b) To calculate the minimum number of staff that must be working so that time take is under 60 minutes, we substite the value of t = 60 into the equation above

Hence, the equation is t = 300/s and the minimum number of staff is 20 staff.

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Answer:

[tex]3\frac{5}{6}[/tex]

Step-by-step explanation:

6 can go into 23, 3 times with 5 left over

we write it like this

[tex]3\frac{5}{6}[/tex]

Hopes this helps please mark brainliest

Answer: Its 3 5/6

Step-by-step explanation: 6 goes into 23 3 times. and 5 leftover so

The numerator of equation (x/(x²+3x+2)+3/(x+1)) in simplified sum is  4x+6.

Here, the given equation is

First, we will simplify this equation

(x/(x²+3x+2)+3/(x+1))

We will take LCM an write the equation as follows.

((x(x+1)+3(x²+3x+2))/((x²+3x+2)(x+1)))     -----------(1)

Now, factorize the equation x²+3x+2

So,

x²+3x+2

=x²+2x+x+2

=x(x+2)+1(x+2)

=(x+1)(x+2)

Put this factors in denominator of equation (1)

So, the equation will be written as

=((x²+x+3x²+9x+6)/(x+1)(x+2)(x+1))

=((4x²+10x+6)/((x+1)² (x+2)))         -----------------(2)

Factor of numerator in above equation

=4x²+10x+6

=4x²+6x+4x+6

=4x(x+1)+6(x+1)

=(4x+6)(x+1)

Put this value in equation (2)

so, we can write equation (2) as

=(((4x+6)(x+1))/((x+1)^2 (x+2)))

Cancelling (x+1) from numerator and denominator

Then the equation will become,

=((4x+6)/((x+1)(x+2)))

This is the simplified form of given equation

Hence,

The numerator of the simplified sum is (4x+6)

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Answer:

No

Step-by-step explanation:

You can't simplify this equation any further because the bases (a, b) aren't the same.

For example:

You can simplify a^2/a^8 to be 1/a^6

Steps:

a^8=(a^2*a^6)

a^2/a^2*a^6

a^2 ÷ a^2=1

1/a^6

(You can only break the exponent up and divide the quotient if the base is the same!)

The percent of increase in the team's yard sale is 25 %.

Percentage is known as a number or ratio which is expressed as a fraction of 100.

Percentage increase refers to the difference between the final and initial values of any quantity, expressed as a percentage of the initial value of that quantity.

Percentage increase = Final value - Initial value/ Initial value *100

According to question,

Initial value = $500

Final value  = $625

Putting the values in the formula,

⇒  $625 -  $500 /  $500 * 100

⇒ $125/  $500 *100

⇒ 25

Hence, the percent of increase in the team's yard sale is 25 %.

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Answer:

d) State constitution

Step-by-step explanation:

Missouri needs a state constitution to become a state. It is necessary for every state. Hence, option (d) is correct answer.

There is no solution for two equations 2x – y = 7 and y = 2x + 3 .

What is an equation?

A statement that the values of two mathematical expressions are equal (indicated by the sign =).

Name different methods to solve the system of equations .

(1)The Graphing Method .

(2)The Substitution Method .

(3)The Linear Combination Method

(4)The Addition Method

(5)The Elimination Method.

(6)The Matrix Method .

The solution of two equations

2x – y = 7 and

y = 2x + 3

On solving the two equations by Subsitution Method ,we get

2x-(2x+3) =7

⇒2x-2x-3=7

⇒0 -3 =7

⇒-3 =7

But since the numbers are not equal ,so we conclude that

-3≠7

Hence ,as x gets canceled and y value is subsituted ,so as a result we get two numbers which are also not equal .

Hence,there is no solution for x and y .

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Corrected Question

What is the solution to the system of equations 2x – y = 7 and y = 2x + 3 ?

There is no solution for two equations 2x – y = 7 and y = 2x + 3 .

A statement that the values of two mathematical expressions are equal (indicated by the sign =).

Name different methods to solve the system of equations .

(1)The Graphing Method .

(2)The Substitution Method .

(3)The Linear Combination Method

(4)The Addition Method

(5)The Elimination Method.

(6)The Matrix Method .

The solution of two equations

2x – y = 7 and

y = 2x + 3

On solving the two equations by Substitution Method ,we get

2x-(2x+3) =7

⇒2x-2x-3=7

⇒0 -3 =7

⇒-3 =7

But since the numbers are not equal ,so we conclude that

-3≠7

Hence ,as x gets canceled and y value is substituted ,so as a result we get two numbers which are also not equal .

Hence, there is no solution for x and y .

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NOTE: The given question is incomplete on the portal. Here is the complete question.

QUESTION: What is the solution to the system of equations 2x – y = 7 and y = 2x + 3 ?

The equation of the line shown in this graph passing through the points (-2, 2) and (-2, -3) is x = -2

The standard equation of a line graph is expressed as [tex]y=mx+c[/tex]

m is the slope of the line

c is the y-intercept

Given: coordinate points  (-2, 2) and (-2, -3)

The coordinates are in the form of (x₁,y₁) and (x₂,y₂)

Slope of the equation is [tex](\frac{y2-y1}{x2-x1})[/tex]

So ,slope=[tex](\frac{-3-2}{-2+2})[/tex]

               =[tex](\frac{-5}{0})[/tex]

               =∝

Since the slope of infinity, this shows that the line is a vertical line. The standard equation of a vertical line is x = a

Since the x-coordinates are similar, hence a = -2

The equation of the line shown in this graph passing through the points (-2, 2) and (-2, -3) is x = -2

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Answer:

314 cm squared

Step-by-step explanation:

yea think so

=========================================================

Explanation:

Let's find the slope of the line through the given points.

[tex](x_1,y_1) = (11,13) \text{ and } (x_2,y_2) = (14,19)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{19 - 13}{14 - 11}\\\\m = \frac{6}{3}\\\\m = 2\\\\[/tex]

The slope is 2.

Now apply point-slope form and solve for y as shown in the steps below.

[tex]y - y_1 = m(x - x_1)\\\\y - 13 = 2(x - 11)\\\\y - 13 = 2x + 2*(-11)\\\\y - 13 = 2x - 22\\\\y = 2x - 22 + 13\\\\y = 2x - 9\\\\[/tex]

The answer is y = 2x - 9

It's of the form y = mx+b

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

Check:

Let's plug in x = 11.

We should get y = 13 as a result because of the point (11,13)

So,

y = 2x-9

y = 2*11-9

y = 22 - 9

y = 13

This confirms y = 2x-9 goes through (11,13)

Follow similar steps to show that x = 14 leads to y = 19.

I'll let you do this part.

For trapezoid, the marked sides are 8 7/8 inches long

In this question, we have been given Gabriel is designing a logo in the shape of a trapezoid. The marked sides are equal. The perimeter is 50 inches, the top is 9 1/2 inches, the bottom is 22 3/4 inches.

We need to find the sides with a tick marks.

Assuming non-parallel sides of trapezoid are marked.

Let a = top of trapezoid and b is the bottom of trapezoid

a = 9 1/2

b = 22 3/4

And c, d are non parallel sides of trapezoid

Using the formula for the perimeter of the trapezoid,

P = a + b + c + d

50 = 19/2 + 91/4 + 2c                .......(c = d)

50  = 129/4 + 2c

2c = 50 - 129/4

2c = 71/4

c = 71/8

c = 8 7/8

Therefore, for trapezoid, the marked sides are 8 7/8 inches long

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The cost for renting shoes is represented by the number 3.

The cost per game is represented by the number 2.5.

The given equation is a linear one. One variable with a power of one makes up a linear equation.

y= 2.5x + 3

2.5 in the above calculation stands for the extra cost for each game played. Each game played sees an increase in this number.

When:

The additional cost is 2.5 x 1 = 2.50 for 1 game played.

If 10 games are played, the extra cost is 2.5 times 10 games, or $25.

The base rate to rent the shoes is $3. It is an ongoing expense that stays the same regardless of how many games are played.

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By using the properties of domain and range, it can be inferred that

Domain of the function h(x) = -2|x| is the set of all real numbers

Range of the given function h(x) = -2|x| is the set of all negative real numbers

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here,

h(x) = -2|x|
h(x) is defined for all x ∈ R

Domain of the given function is the set of all real numbers

For range

we know,

[tex]|x| > 0\\-2|x| < 0\\h(x) < 0[/tex]for all x ∈ R

Range of the given function is the set of all negative real numbers

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Answer:

  (4, -2)

Step-by-step explanation:

You want the coordinates of the point (-4, -2) after its reflection across the y-axis.

The x-coordinate of a point tells you its horizontal distance from the y-axis. When a point is reflected across the y-axis, it is moved to the other side by the same distance. That is, the sign of the x-coordinate changes.

  (x, y) ⇒ (-x, y) . . . . . . . reflected across the y-axis

  (-4, -2) ⇒ (4, -2) . . . . . reflected given point

The coordinates of the reflection are (4, -2).

<95141404393>

Answer:

Step-by-step explanation:

32 mph

Answer:

2 step because they changed 1/4 into 1/8

Step-by-step explanation: