Alex was thinking of a number. Alex doubles it, then adds 20 to get an answer of 22.7. What was the original number?

Answer: it’s the square root of 10

Step-by-step explanation: I took this test

Answer:[tex]\sqrt{74}[/tex]

Step-by-step explanation:

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).

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A piecewise function of the graph is a function y=f(x) which has different definitions in different intervals of x. A piecewise function's graph is divided into sections that each correspond to one of its definitions.

What is a piecewise function?

A function with many parts of curves in its graph is said to be piecewise. It implies that based on the value of the input, it has many definitions. In other words, a piecewise function responds differently to various inputs.

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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

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:

13

Step-by-step explanation:

Given g(x)=-2x+5, find g(-4)

so you are substituting in -4 for x:

g(-4) = -2(-4) + 5

g(-4) = 8 + 5

g(-4) = 13

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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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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An equation is formed from two equal expressions. Carmen earns $390 for her 13 hours of tutoring.

Equation: An equation is created by equating two equations with an equal sign '='.

Let's say Carmen is earning $30 per hour of her tutoring her.

Therefore, the formula for Carmen's income after H hours of tutoring can be written as:

Income = hourly wage for individual instruction x number of hours

I = 30 × H

I = 30H

After 13 hours of tutoring, Carmen's income will be:

I = 30 (13)

I = 390

So, after 13 hours of tutoring, Carmen's income will be $390.

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Answer:

Step-by-step explanation:

32 mph

Answer:

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

Step-by-step explanation:

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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Cindy's graph is a reflection of Brad's graph across the x - axis.

What is transformations of graph?

The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations, it is a typical kind of algebraic problem.

Given:

Brad graphs the function y = |x-2|

Cindy graphs the function y=-|x-2|

If f(x) = |x - 2| and f(x) = - |x - 2|

Since, if the transformation of the graph is f(x) changes to -f(x) then there is reflection over x - axis.

Here y changes to -y.

Therefore, Cindy's graph is a reflection of Brad's graph across the x-axis.

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

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.

Answer:

15a

Step-by-step explanation:

6a+9a

We just add the coefficients together since they share the same variable

6+9=15

15a

Hopes this helps please mark brainliest

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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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 length of segment QC, using the Pythagorean Theorem, is of:

QC = 45 cm.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, stating that the length of the hypotenuse is obtained according to the equation presented as follows

[tex]h^2 = l_1^2 + l_2^2[/tex]

The length of QC is obtained considering that QC is a leg of a right triangle in which:

The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the segment's endpoints, thus the length of segment QB is given as follows:

QB = QD = 51 cm.

B is the midpoint of AC, hence the length of segment BC is given as follows:

BC = 0.5 x AC = 0.5 x 48 = 24 cm.

Hence the length of QC is obtained as follows:

QC² + 24² = 51²

QC = sqrt(51² - 24²)

QC = 45 cm.

The diagram is given by the image shown at the end of the answer.

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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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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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For given 30 60 90 triangle, the values of the hypotenuse = 4 units and short side = 2 units

We know that, a 30 60 90 triangle is right triangle.

In right triangle the longest side is hypotenuse.

Here, hypotenuse = 4 units

The short side of triangle is the opposite to the side of smallest angle.

So, we need to find the length of the side opposite to angle 30.

Consider sin(30) = short side/hypotenuse

1/2 = short side/4

short side = 4/2

short side = 2 units

Therefore, for given 30 60 90 triangle, the values of the hypotenuse = 4 units and short side = 2 units

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Answer:

I think it's B

Step-by-step explanation:

Because the pattern starts at 7 then plus 3 etc...

Total time for whole journey can be calculated by adding the three parts of the journey which would give answer as 2.5 hours.

What is a fraction?

The components of an entire or group of items are represented by fractions. A fraction consists of two components. The numerator is that the figure at the top of the line. It details the amount of equal portions that were taken from the total or collection. The denominator is that the figure that appears below the line.

Main Body:

total time = 20 minutes + 40 minutes + 1 hour 30 minutes

                = 2.5 hours or 5/2 hours.

Hence total time for journey is 2.5 hours.

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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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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!)

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:32

Step-by-step explanation:

You plug in 5 for H and then you solve

Answer:

the answer to yo question is 4

Step-by-step explanation: