Write a compound inequality for the graph shown below.
Use x for your variable.

Answer:

9notebooks

Step-by-step explanation:

5×y≤45( where y is number of notebooks)

$5=1notebook

$45=$45/$5x1

=9

therefore, you'll be able to buy nine notebooks with$45

Answer:

$5n = $45

n = 9

Step-by-step explanation:

Let n represent the amount of notebooks

$5n = $45

Divide each side by 5

$5n/5 = $45/5

n = 9

so the maximum number of notebooks you can buy is 9

Answer:

Step-by-step explanation:

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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As given by the question

There are given that the function:

Now,

To find the transformation, compare the function to the parent function and check it.

Then,

The transformation of the function is shown below:

Hence, the correct option is D.

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Answer:

To find the five-number summary of a data set, we need to find the minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value.

We can first put the data set in order from smallest to largest:

14, 17, 19, 23, 25, 28, 30, 34, 40, 43

The minimum value is 14, and the maximum value is 43.

To find the median, we need to find the middle value. Since there are 10 numbers in the data set, the median is the average of the fifth and sixth values:

Median = (25 + 28) / 2 = 26.5

To find the first and third quartiles, we can use the median as a reference point. The first quartile (Q1) is the median of the lower half of the data set, and the third quartile (Q3) is the median of the upper half of the data set.

The lower half of the data set consists of the first five values:

14, 17, 19, 23, 25

The median of these values is:

Q1 = (19 + 23) / 2 = 21

The upper half of the data set consists of the last five values:

28, 30, 34, 40, 43

The median of these values is:

Q3 = (34 + 40) / 2 = 37

Therefore, the five-number summary for this data set is:

Minimum = 14

Q1 = 21

Median = 26.5

Q3 = 37

Maximum = 43

Looking at the answer choices, we can see that option C is the correct answer:

OA. 14, 19, 29, 34, 43

B. 14, 23, 26.5, 30, 43

C. 14, 19, 26.5, 34, 43

OD. 14, 23, 29, 30, 43

The solution to the inequality r - 6 > −11 will be r > -5.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Based on the information, the solution to the inequality r - 6 > −11 will be solved thus:

r - 6 > −11

Collect the like terms

r > - 11 + 6

r > -5

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Your answer would be C

Step-by-step explanation:

Answer: The answer is B

Step-by-step explanation this is the answer because when you write a number line vertically then it's oriented from top to bottom

Answer:

x=7

Step-by-step explanation:

Answer:

X=7

Step-by-step explanation:

-7/3x=-16-1/3.   -7/3x=-16 1/3.   - x=-49/3 * 3/-7.   X=7

The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.

Here, we have,

the conditions for mapping the strip transformation pattern onto itself:

The strip pattern can be mapped onto itself in two different ways.

The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.

The second way is to reflect the strip pattern across a vertical line.

Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.

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complete question:

Which transformations map the strip pattern onto itself?

a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°

a horizontal translation only

a horizontal translation, a reflection across a horizontal line, and a glide reflection only

a horizontal translation and a 180° rotation only

Answer:

only 5 points ;(

Step-by-step explanation:

Answer: The quotient is 3y² + 2y - 1.

Step-by-step explanation:

You can use long division to solve this expression by setting the dividend under the roof and the divisor outside as you would normally do when dividing numbers.

1) Look at the first term of the dividend, 15y³, and the first term of the divisor, 5y. Determine what value multiplied by 5y would give you 15y³. The answer is 3y², and given the number, you multiply it by the WHOLE divisor.

3y²(5y + 6) = 15y³ + 18y² <-- subtract this from the dividend.

2) Continue this process and make sure to drag down the next term for each new value you form after subtracting. Keep in mind of any negative values! When you reach up to -5y, determine what value multiplied by 5y would give you the value of -5y, which would be -1.

3) You should be left with a remainder of 0, leaving you with a quotient of 3y² + 2y - 1.

The system of equations where the combination of the candies gives you a total of 22 points are:

x + y = 9

2x + 3y = 22

To create the equations, we shall first define the variables:

x = the number of purple candies

y = the number of yellow candies

Next, we shall use the given information that purple candies are worth 2 points and yellow candies are worth 3 points.

Then, we would make sure that the total number of candies selected is 9.

The first equation represents the total number of candies selected:

x + y = 9

The second equation represents the total number of points obtained:

2x + 3y = 22

Therefore, the system of equations is:

x + y = 9

2x + 3y = 22

This is a system of linear equations.

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The period of the function is 4π, and the amplitude is 2.

Given data ,

Let the function be represented as f ( x ) = y

Now , the value of f ( x ) is

y = 2sin ( 1/2 )x

To find the period and amplitude of the function y = 2sin((1/2)x), we can use the standard form of a sine function: y = Asin(Bx).

In this case, the amplitude (A) is 2.

The amplitude represents the maximum displacement from the midpoint of the sinusoidal function.

To find the period, we can use the formula:

Period = (2π) / |B|.

B = 1/2.

Period = (2π) / |1/2|

P = (2π) / (1/2) = 2π * 2/1 = 4π

Hence , the period of the function is 4π, and the amplitude is 2.

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Answer:

1. 33

2. -120

3. -623

Step-by-step explanation:

You do what is in the parenthesis and then multiply that by the number outside.

Answer:

0.36 or 9/25

Step-by-step explanation:

3/5*3/5

Answer:

2.4 use a scientific calculator like desmos it will really help:)

Step-by-step explanation:

Answer:

The parametric equations are

 x = - 2 t + 4 , y = - 5 t + 2 , z = - 3 t + 4

Step-by-step explanation:

Step(i):-

Given point P = ( 4,2,4)

Given vector is   -2 i - 5 j - 3 k

The vector equation of a line through the point a⁻ and parallel to b⁻ is

r⁻ = a⁻ + t b⁻  

Given r⁻ = 4 i + 2 j + 4 k

r⁻ = 4 i + 2 j + 4 k + t (-2 i - 5 j - 3 k)

Step(ii):-

The Cartesian form

\(\frac{x-a_{1} }{b_{1} } = \frac{y-a_{2} }{b_{2} } = \frac{z-a_{3} }{b_{3} } = t\)

\(\frac{x-4 }{-2 } = \frac{y-2 }{-5 } = \frac{z-4 }{-3 } = t\)

\(\frac{x-4 }{-2 } = t\)

⇒ x - 4 = -2 t

⇒ x = - 2 t + 4

\(\frac{y-2 }{-5 } = t\)

⇒ y - 2 = - 5 t

⇒ y = - 5 t + 2

\(\frac{z-4 }{-3 } = t\)

z - 4 = -3 t

z = - 3 t + 4

Conclusion:-

The parametric equations are

 x = - 2 t + 4 , y = - 5 t + 2 , z = - 3 t + 4

Answer:

answer =-1.

Step-by-step explanation:

(i)write the question nicely again.

(ii) substitute the ltter with the value that is given.

(iii)u gonna use BEDMAS RULE TO SOLVE.

The lengths of the sides of a triangle can be the set of numbers {12, 13, 20}, making option D the right choice.

According to the triangle inequality theorem, any two sides' sums in a triangle must be bigger than the length of the third side. If a, b, and c are the lengths of a triangle's sides, then the sum of a and b's lengths is greater than c's length. Similar to how a+ c > b, b + c > a. It is not possible to create a triangle using the specified side lengths in any instance where they are unable to satisfy these requirements.

In the question, we are asked for the set of numbers from the options that could be the lengths of the sides of a triangle.

Thus, the lengths of the sides of a triangle can be the set of numbers {12, 13, 20}, making option D the right choice.

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\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}\)

To solve these type of problems you need to use the pythagoras theorem ⇨ Hypotenuse² = Base² + Altitude².

Here,

Now, let's solve for x.

Hypotenuse² = Base² + Altitude²

x² = (1.2)² + (1.6)²

x² = 1.44 + 2.56

x² = 4

x = √4

x = 2.

Hey there!

Solve using pythagoras theorem (it's given that is triangle is right angled. Pythagoras theorem only works in the case of right triangles) ⇨ Hypotenuse² = Base² + Altitude ²

Here,

Base = 1.2 cm

Altitude = 1.6 cm

Hypotenuse = ? (let's take it as 'x' )

Hypotenuse² = Base² + Altitude ²

x² = (1.2)² + (1.6)²

x² = 1.44 + 2.56

x² = 4.00

x² = 4

x = √4

x = 2 cm.

Hope it helps ya!

A line passes through point −9, 7 and has a slope of −43, the equation of the line in the =+AxByC form is 43x + y = -380.

To write the equation of a line in the form of Ax + By = C, we need to find values for A, B, and C.

We know that the line passes through the point (-9, 7) and has a slope of -43. We can use the point-slope form of the equation to find the equation of the line:

y - y1 = m(x - x1)

Where m is the slope and (x1, y1) is a point on the line.

Substituting the values we know:

y - 7 = -43(x + 9)

Expanding and rearranging:

y - 7 = -43x - 387

43x + y = -380

Thus, the equation of the line in the =+AxByC form is 43x + y = -380.

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The lengths DG and GC are 12 and 24 units respectively

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

G is the centroid and DC = 36.

The centrod divides the triangle in 1 : 2

Using the above as a guide, we have the following:

DG : GC = 1 : 2

Multiply by 12

So, we have

DG : GC = 12 : 24

12 and 24 add uo to 36

This means that

DG = 12 and GC = 24

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Answer:

Yes,i have but only one..

I think it's my friend..I saw my friend naked before..

But it's a boy..

'When i was at school,i was walking through the corridor to find my teacher and to ask her..

And suddenly, i saw my two Classmates and they was laughing and giggled so much..

And i ask them "Hey,why did you two laughed?Are you guys okay?Maybe there's a demon inside of you two.." And they said to me that "We saw something in the classroom, don't be so rude about us.." And by the way,my two Classmates i was talking to are girls.. And i continued "What? What did you two saw in the classroom?Is there a frog or something?.." And they said "No,dummy.. It's our classmate,Lance.." And they laughed.. I said "Why? What happened to Lance?.." And they said "He's totally naked on the classroom.." And the other one talked " Yeah and his body is totally hot too.." And they screamed..And i said "You two are totally nuts about Lance.." And my classmate arrived in front of us,Lance.. "Hey, what are you guys laughing to?.." And i said "They saw you naked a while ago,Lance.." And Lance ran away because he was embarrassed...'

Well... That's all i can tell..

Hope it helps..

(;ŏ﹏ŏ)(ㆁωㆁ)

Step-by-step explanation:

Team A time is    1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr

Team B =   1 / ( 1/3 + 1/3) =  1 1/2 hr

Team A wins !

AnswerTherefore, Jennifer traveled for 2 hours.

Step-by-step explanation:

Let x be the time Jennifer traveled.

Kristin traveled for 2 hours at 33 km/h, so she had traveled 66 km when Jennifer started traveling.

After x hours, Jennifer had traveled 45x km.

The total distance between them was 156 km.

So, we have:

66 km + 45x km = 156 km

Simplifying the equation, we get:

45x km = 90 km

x = 2 hours

Therefore, Jennifer traveled for 2 hours.

Answer:

  3000

Step-by-step explanation:

There are 5 odd digits, so 5^3 = 125 ways to have 3 odd digits.

Given 3 odd digits, the first digit can be even, but not zero, so there are 4 ways to do that.

The second, third, or fourth digits can be even 5 ways, so there are ...

  125(4 +5 +5 +5) = 2375

ways to have 3 odd digits in a 4-digit number.

__

There are 5^4 = 625 ways to have 4 odd digits.

The number of 4-digit numbers with 3 or 4 odd digits is ...

  2375 +625 = 3000

Answer:

-3,2,7,12,17,22,27,32,37

1 2 3 4 5 6 7 8 9

Step-by-step explanation:

37 is the 9the number in the sequence

you can also use n(5) to find any number

Answer:

A $20

A $5

And 2 ones.

add them up it =27

Step-by-step explanation: