Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answer:

The quadratic y = -x^2 + 6x - 3 opens in the Downward direction. The coefficient of the x^2 term is negative, which means the parabola opens downward.

Answer:

Downward

Step-by-step explanation:

It's best to plot these on a graphing calculator or on line to get a sense of what it will look like.

but the basic rules for quadratic equations are:

If y is isolated (i.e. y = x^2....), it's going to be upward or downward.

   - If the signs for x and y are the same it will open upward

   - If the signs for x and y are opposite it will open downward

If x is isolated (i.e. x = y^2....), it's going to be left or right.

   - If the signs for x and y are the same it will open right

   - If the signs for x and y are opposite it will open left

In this case it will be downward

Answer:

m=-2/3 , 2x+3y=1

Step-by-step explanation:

Answer:

8) B is steeper.

9) the equation is (30,7)

Answer:

  62, 63, 64

Step-by-step explanation:

The middle integer of three consecutive integers will be the average of them. That is, it will be their sum, divided by 3.

__

The middle integer is 189/3 = 63.

The three consecutive integers are 62, 63, 64.

_____

Additional comment

If you'd like to write an equation that tells you the same thing, let x represent the middle integer. Then the lower one is x-1, and the upper one is x+1. Their sum is ...

  (x-1) +x +(x+1) = 189

  3x = 189 . . . . . . . . . . . . simplify

  x = 189/3 = 63 . . . . . . . divide by the coefficient of x

  (x-1) = 63-1 = 62 . . . . . . find the other two integers

  (x+1) = 63+1 = 64

Answer:

circumference = 2πr

2×π×6

12πmm

Given:

Radius of circle = 6 mm

Work out :

Workout the circumference of this circle?

Formula used:

Circumference of circle = 2πr

Solution:

According to the question,

Circumference of circle = 2πr

= 2 × π × 6

= 12 π mm

The derivative of √(x + 3) / (x + 1) with respect to x is:

[(√(x + 3)) / (x + 1)]' = [1 - (√(x + 3))  (x + 1)] / [2(x + 1)²  √(x + 3)]

To differentiate √(x + 3) / (x + 1) with respect to x, we need to use the quotient rule:

(f(x) / g(x))' = (f'(x) * g(x) - f(x) * g'(x)) / [g(x)]²

where f(x) = √(x + 3) and g(x) = x + 1.

Now, let's differentiate each term:

f'(x) = (1/2) * (x + 3)^(-1/2) * 1

= 1 / [2 * √(x + 3)]

g'(x) = 1

Substituting into the quotient rule formula:

[(√(x + 3)) / (x + 1)]' = [(1 / [2 * √(x + 3)]) * (x + 1) - (√(x + 3)) * 1] / [(x + 1)²]

Simplifying the expression:

[(√(x + 3)) / (x + 1)]' = [1 - (√(x + 3)) * (x + 1)] / [2 * (x + 1)² * √(x + 3)]

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Answer:

The answer is A.

As seen in my graph the purple line is exactly like the line in the picture and it uses the first equation or A.)

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.

4/43 is the experimental probability that the next CD loaned out will be a hip-hop CD.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Kingwood library loaned 86 CDs last month

The number of hip hop albums are 8.

We have to find the experimental probability that the next CD loaned out will be a hip-hop CD

P(hip-hop) =8/86

8 and 86 are the multiples of 2.

Divide both numerator and denominator by 2

P(hip-hop) =4/43

Hence, 4/43 is the experimental probability that the next CD loaned out will be a hip-hop CD.

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Answer:

4/43

Step-by-step explanation:

Transforming the points involves changing their coordinates

The image of the points are:  (3, 6), (-11, 12) and  (-3, -12)

The coordinates of the points are given as:

X(2, 4)

Y(5,-3)

Z(-7, 1)

The rule of this transformation is:

(x, y) to (y, -x)

So, we have:

X' = (4, -2)

Y' = (-3, -5)

Z' = (1, 7)

The rule of this transformation is:

(x, y) to (2x, 2y)

So, we have:

X'' = (8, -4)

Y'' = (-6, -10)

Z'' = (2, 14)

The rule of this transformation is:

(x, y) to (x, -y)

So, we have:

X''' = (8, 4)

Y''' = (-6, 10)

Z''' = (2, -14)

The rule of this transformation is:

(x, y) to (x -5, y + 2)

So, we have:

X'''' = (3, 6)

Y'''' = (-11, 12)

Z'''' = (-3, -12)

Hence, the image of the points are:  (3, 6), (-11, 12) and  (-3, -12)

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The expression that evaluates to true if and only if the units digit of an integer variable x is less than 8 is :x % 10 < 8 where % is the modulo operator that gives the remainder of x divided by 10. This expression works by extracting the units digit of x using the modulo operator and then checking if it is less than 8. If it is, the expression evaluates to true.

To evaluate the truth value of an expression, we need to first understand the conditions under which it would be true and the conditions under which it would be false. The expression in question is evaluating the units digit of an integer variable x, so we need to consider the possible values that the units digit can take.Let's start by considering the values that would make the expression true. We are told that the units digit of x must be less than 8. This means that the units digit can take on any value from 0 to 7. So if the units digit of x is any of these values (0, 1, 2, 3, 4, 5, 6, or 7), then the expression would be true.Now let's consider the values that would make the expression false. The expression only evaluates to true if the units digit is less than 8, so any value of the units digit that is greater than or equal to 8 would make the expression false. This means that if the units digit of x is 8 or 9, the expression would be false.

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The answer is: A. tan P= 3/4, tan Q=5/4

Trigonometric ratios are mathematical functions that relate the angles of a right triangle to the ratio of the lengths of its sides. There are three primary trigonometric ratios, known as sine, cosine, and tangent, and their reciprocal functions, known as cosecant, secant, and cotangent.

The primary trigonometric ratios are defined as follows:

Sine (sin): The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse of a right triangle.

sin θ = opposite/hypotenuse

Cosine (cos): The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse of a right triangle.

cos θ = adjacent/hypotenuse

Tangent (tan): The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle.

tan θ = opposite/adjacent

The reciprocal trigonometric ratios are defined as follows:

Cosecant (csc): The cosecant of an angle is the reciprocal of the sine of the angle.

csc θ = 1/sin θ

Secant (sec): The secant of an angle is the reciprocal of the cosine of the angle.

sec θ = 1/cos θ

Cotangent (cot): The cotangent of an angle is the reciprocal of the tangent of the angle.

cot θ = 1/tan θ

Trigonometric ratios are widely used in mathematics, science, and engineering to solve problems involving right triangles, as well as to model and analyze periodic phenomena such as sound waves, light waves, and electromagnetic waves.

Since angle R is a right angle, we can use the tangent ratio for angles P and Q as follows:

tan P = RP / RQ = 12 / 16 = 3 / 4

tan Q = PQ / RQ = 20 / 16 = 5 / 4

Therefore, the answer is: A. tan P= 3/4, tan Q=5/4

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The quarterly operating profit margin of TMG Ltd over the past six years is provided in Table 4.1, indicating the financial performance of the business during that period.

In order to assess the impact of the intervention strategy introduced by the current CEO three years ago, the board of directors (BOD) of TMG Ltd has contracted a researcher to analyze the data and determine if there have been significant improvements in the business outcomes. The quarterly operating profit margin serves as the unit of analysis for this evaluation.

Table 4.1 allows the researcher to examine the trend and fluctuations in the quarterly operating profit margin over the six-year period. By analyzing the data, the researcher can identify any noticeable changes in the financial performance of TMG Ltd, particularly after the implementation of the intervention strategy. The BOD is interested in understanding whether the strategy has resulted in improved profitability and overall financial health of the company.

The researcher will likely perform statistical analysis, such as calculating averages, trends, and identifying any significant variations, to draw conclusions about the effectiveness of the intervention strategy. By comparing the quarterly operating profit margin before and after the strategy's implementation, the researcher can assess whether the new CEO's efforts have had a positive impact on the company's financial performance.

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Answer:

B)

Step-by-step explanation:

Answer: the answer is B hope this helps

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

math

Answer:

11+8-13

19-13

6

6 feet below sea level

Step-by-step explanation:

Answer:

Step-by-step explanation:

11+8-13

19-13

6

Answer:

x = 28°

y= 62°

Step-by-step explanation:

    To find x, we can use the ratio Tan.

    \(\sf Tan \ x = \dfrac{opposite \ side \ of \ x^\circ}{adjacent \ side \ of \ x^\circ}\\\\\)

              \(\sf = \dfrac{7}{13}\\\\= 0.5385\)

           \(\sf x = tan^{-1} \ (0.5385)\\\\x = 28.30^\circ\\\\x = 28^\circ\)

        x + y + 90 = 180  {Angle sum property of triangle}\\

     28 + y + 90 = 180

             y + 118 = 180

                      y = 180 - 118

                      y = 62°

The ratio of Cost of grocerie to cost of vegetable 4:1 .

What is the cost?

Cost is the amount of money spent by a business to produce or create goods or services. It excludes the profit margin markup.

                      Cost is the sum of money spent on making a good or product, as seen from the seller's perspective.

Given that,

Spent $4.80 on groceries and $1.20 on vegetables.

Total cost = 4.80 + 1.20

Total cost = $6.00

a. Cost of groceries to cost of vegetables;

Ratio = 4.80 / 1.20 = 4 / 1

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Answer: d,f

\(-x\geq 4\\=> x\leq -4\)

=> all the values are d and f

Step-by-step explanation:

Answer:

\( \frac{dy}{dx} = 1,75\)

In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

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Answer:

11,550.

Step-by-step explanation:

Since we are trying to find the number of people in the stadium, we just need to find 75% of 15,400.(The reason is because each seat is for each person)

To calculate this, you have to:

0.75 x 15,400(The percentage is converting a whole number into decimal)

11,550. (And after you solve it, here is the answer)

Hope you have a nice day!!

Answer:

11,550 people are in the stadium when 75% of the seats are occupied.

Step-by-step explanation:

To solve this, we first need to set up our equation to solve the percent.

Our equation is: \(\frac{75}{100} = \frac{x}{15400}\)

To solve, we do cross multiplication.

75*15,400=100x

Now, multiply

1,155,000=100x

Now, divide both sides by 100 to get x by itself.

1,155,000/100=100/100x

11,550= x

As such, 11,550 people are in the stadium when 75% of the seats are occupied.

The percentage of red pencils Mike had is 75%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Mike had 180 blue and red pencils and 45 were blue.

So, The number of red pencils is,

= (180 - 45).

= 135.

Therefore, The percentage of red pencils is,

= (135/180)×100%.

= 75%.

Some other concept related to percentage is percentage change,  

The net amount change will now be divided by the original sum and multiplied by 100%, giving us the percentage change, which is,

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Answer:

5.28000x10^5

Step-by-step explanation:

In a research of investigating the effects of working in crowded versus uncrowded conditions on the job satisfaction of employees in a variety of work setting , working is a depending variable and crowding is an independent variable.

Given aim of the research is to investigate the effects of working in crowded conditions and uncrowded conditions.

We know that depending variable is a variable whose value is dependent on the other variable. Independent variable is a variable whose value does not dependent on the other variables.

In the given question working may be affected negatively in crowded environment means there will be less work in crowded environment and more work in uncrowded environment.

Hence the depending variable in research is working.

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Using a trigonometric relation we can see that the measure of R is 65.38°

Here we have a right triangle where we know the lengths of all the sides, to get the angle R we can use a trigonometric relation like:

sin(R) = (opposite cathetus)/hypotenuse

Where:

opposite cathetus = 20

hypotenuse = 22

Replacing that we get:

sin(R) = 20/22

Using the Asin function in both sides we get:

R = Asin(20/22) = 65.38°

That is the measure of the angle.

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Answer:

Answer: 67

18+5x2^3-7+16

18+5x8-7+16

18+40-7+16

67

Answer:

13.4 seconds

Step-by-step explanation:

add up the five times, then divide the total by 5 (mathematical average)

32 + 5 + 10 + 8 + 12 = 67 seconds total

divide by 5 legs of race 67 / 5 = 13.4 seconds behind the leader on average

always put units to prevent points off by teacher. also pay attention to any rounding instructions

Answer:

a. 15%

b. 60%

Explanation:

Part a.

The absolute change in percentage points can be calculated as

So, by replacing the final value with 40% and the initial value with 25%, we get

Therefore, the absolute change is 15%

Part b.

The relative change can be calculated as

Replacing the final value with 40% and the initial value with 25%, we get

Therefore, the relative change is 60%