find the difference. (7x-6 2/3) - (-3x + 4 3/4)

Answer:

I think its B

Step-by-step explanation:

Sorry if im wrong

The value of the given expression is obtained using the property of composite function as g(f(2)) = 5.

For two functions f(x) and g(x), a composite function is defined as f(g(x)) or g(f(x)). The characteristics of this function can be described as,

The inverse of a composite function is equivalent to the composition of the inverse of both functions.

The composition of two one to one functions is always one to one.

The given table shows the values of two functions f(x) and g(x).

The given expression is equivalent to the value of g(f(x)) at x = 2.

Now, g(f(2)) can be obtained as follows,

The value of f(2) from the table is 1.

And, the value of g(1) is 5.

Thus, g(f(2)) = g(1) = 5

Hence, the value of the given expression is 5.

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The polynomial function in which p has four zeros at -4,-1,0, and 9 are:

--x(x + 4)(x + 1)(x-9) , -3x(x+4)(2x + 2)(x-9) and  -3x(x + 4)(x + 1)(x − 9)²

Here given polynomial function,

a. 3x(x-4)(x - 1)(x + 9)

if x = 0

then the function becomes 0

but -4 , -9 , -1 does not satisfy.

Therefore the function does not have four zeroes

b. --x(x + 4)(x + 1)(x-9)

Here the function will have four zeroes,

x = 0

(x + 4 ) = 0 when x = -4

(x + 1 ) = 0 when x = -1

(x - 9) = 0 when x = 9

Therefore the function has four zeroes.

c. -3x(x+4)(2x + 2)(x-9)

Here the function will have four zeroes,

x = 0

(x + 4 ) = 0 when x = -4

(2x + 2 ) = 0 when x = -1

(x - 9) = 0 when x = 9

d. 3x(x+4)(x-1)(x-9)

Here the function will have four zeroes,

x = 0

(x + 4 ) = 0 when x = -4

(x - 1 ) = 0 when x = 1

(x - 9) = 0 when x = 9

Here x = -1 does not satisfy, So the function does not have four zeroes.

e. -3x(x + 4)(x + 1)(x − 9)²

Here the function will have four zeroes,

x = 0

(x + 4 ) = 0 when x = -4

(x - 1 ) = 0 when x = 1

(x - 9)² = 0 when x = 9

Therefore the function has four zeroes.

Therefore the polynomial functions with four zeros at -4,-1,0, and 9 are as follows: —x(x + 4)(x + 1)(x-9), -3x(x+4)(2x + 2)(x-9) and

-3x(x + 4)(x + 1)(x-9) ²

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The required value of ab is -1.5 which is the correct answer would be option (B).

The quadratic equation is defined as a function containing the highest power of a variable is two.

The quadratic equation is given as:

4x² + 5x - 6 = 0

4x² + 8x - 3x - 6 = 0

4x(x + 2) - 3(x + 2) = 0

(x + 2)(4x - 3) = 0

Each factor equals to 0 and solves for x.

x + 2 = 0 and 4x - 3 = 0

x = -2 and x = 3/4

If a and b are two solutions to the given equation,

So, we have a = -2 and b = 3/4

⇒ ab = -2 × 3/4 = -6/4 = - 1.5

Therefore, the required value of ab is -1.5.

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The proportion of the students for the given condition is 0.0228 and the 71 percentile of the normal distribution of the test score is equal to 23.106.

As given in the question,

Mean of the normal distribution 'μ' = 22 points

Standard deviation of the normal distribution 'σ' = 2 points

Z score is calculated using :

z = (x - μ)/σ

Here, x represents the raw score

a. Condition: Students score at least 26 points

x > 26

⇒ (x - μ) / σ > ( 26 - 22 ) / 2

⇒ (x - μ) / σ > 4 /2

⇒ (x - μ) / σ > 2

⇒ z > 2

Proportion of the students scored z > 2

P(z > 2) = 1 - P(z < 2)

             = 1 -  0.9772

             = 0.0228

b. 71 percentile has a z score of 0.553

0.553 = (x - 22)/2

⇒x - 22 = 1.106

⇒ x = 23.106

Therefore, the proportion of the students scored at least 26 points are 0.0228 and 71 percentile of the normal distribution of the test score is equal to 23.106.

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The number you would divide by to calculate the mean of 3, 4, 5, and 6 is 4. The mean of 3, 4, 5, and 6 is 4.5.

1. Add all of the numbers together: 3 + 4 + 5 + 6 = 18

2. Count how many numbers there are: 4

3. Divide the sum by the number of numbers: 18 / 4 = 4.5

The mean is a type of average. It is calculated by adding all of the numbers together and then dividing the sum by the number of numbers. In this case, we added 3, 4, 5, and 6 together to get 18. We then divided 18 by the number of numbers (4) to get 4.5, which is the mean of 3, 4, 5, and 6.

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How do you write angle measurements?

Angles are measured in degrees (°) using a protractor. A protractor is a measuring device that is used to calculate or draw angles in terms of degrees. For example, in the image below, we see that using a protractor, the black arrow points to 100°, crossing 90°. Hence, the measure of the angle is 100°.

The idea of an angle

Degrees are the most widely used unit of measurement. A straight angle is 90° since a circle has 360 equal degrees.

degrees

Angles are measured in degrees (°) using a protractor. A protractor is a measuring device that is used to calculate or draw angles in terms of degrees. For example, in the image below, we see that using a protractor, the black arrow points to 100°, crossing 90°. Hence, the measure of the angle is 100°.

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Answer:she willl have 20

Step-by-step explanation:

because  each is aa key word for  multiply

Answer:

4.46

Step-by-step explanation:

2.6 pounds of apples= 1.25 × 2.6 = 3.25

2 pounds of lunch meat = 4.65 × 2 = 9.3

a loaf of bread = 2.99

total = 3.25 + 9.3 + 2.99 = 15.54

change = 20.00 - 15.54 = 4.46

I hope this helps.

Have a nice day dear.

Answer:

y-5 = -2/3 (x+6)

Step-by-step explanation:

-2y = -3x -8

2y = 3x + 8

2/2 y = 3/2 x + 8/2

y = 3/2 x + 4

slope of a perpendicular line

- 2/3

y-5= -2/3(x-(-6)

y-5 = -2/3 (x+6)

Answer: 0.04

Step-by-step explanation:

Divided by 1000 mean we will move the decimal to the left 3 times

So 40 divided by 1000= 0.04

Answer:

0.04

Step-by-step explanation:

The velocity of a bus that travels 120 kilometres in 3 hours is 40 kilometres per hour.

The velocity of bus will be calculated using the formula -

Velocity = change in position or displacement ÷ change in time

The change in position is 120 kilometres and the change in time is 3 hours, as both started from 0, the difference will be the number itself..

Keep the values in formula -

Velocity = 120/3

Performing division on Right Hand Side of the equation

Velocity = 40 kilometres per hour

Hence, the velocity is 40 kilometres per hour.

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Answer: 6x−4

Explanation: We need to work out the main steps, so here i organised them for you.

Step 1: For this part of the question we have a line with equation that is:

Y = 8x+5

Step 2: For this part we need to times the answer with:  

X =2

Step 3: So the tangent can pass through the coordinate must be be

M = 8  | There fore we have in a total answer as 6x-4

Message: If you found this helpful let me know by giving me a thanks! :)

The equation of the line passing through the point so that segment of the line i.e. [tex]y+2x=4[/tex]

The equation of the line be [tex]y=mx+c[/tex]

Now the line intersects at the x-axis  [tex](a,0)[/tex] and the point at which the y-axis intersect [tex](0,b)[/tex]

Plug in the value [tex](a,0)\\[/tex]

[tex]ma+c=0\\a=\frac{-c}{m}[/tex]

and now plug in the value [tex](b,0)[/tex]

[tex]b=c+0\\b=c[/tex]

now [tex](1,2)[/tex] is the midpoint of [tex](a,0)[/tex] and [tex](0,b)\\[/tex]

[tex]2=\frac{0+b}{2\\}\\ b=c\\\frac{c}{2} =2\\c=4[/tex]

and

[tex]1=\frac{a+0}{2}\\1=\frac{-c}{2m} \\m=-2[/tex]

plug in the value of m and c

[tex]y+2x=4[/tex] is the required equation

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Answer: 6 ft 4 inches

Step-by-step explanation:

Answer: true

Step-by-step explanation:

Answer:

53,47

Step-by-step explanation:

If 1 van and 6 buses with 372 students, then each bus and van had 372/7 = <<372/7=53>>53 students.

If each bus and van had the same number of students, then 4 vans and 12 buses had 453 = <<453=212>>212 students.

If 4 vans and 12 buses with 780 students, then each bus had 780-212 = <<780-212=568>>568/12 = <<568/12=47>>47 students.

Therefore, 1 van can hold 53 students and 1 bus can hold 47 students. Answer:{53,47}.

Answer: x = 4

Step-by-step explanation: i used mathaway to answer this

Answer: Ragu ran 3/5 or 60% of the race in 24 minutes. [EXTRA: He runs 20% of the race every 8 minutes, which means that it would take him 40 minutes to complete the entire race (this answer is extra if you need it)]

Step-by-step explanation: none, basic mathematics

The potential third side lengths that could form a triangle lies in the range 9<x<81.

Given that, two sides lengths are 36 inches and 45 inches.

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

Here, the potential third side lengths that could form a triangle.

So, the range of third side lengths(x) is 45-36<x<45+36

⇒ 9<x<81

Therefore, the potential third side lengths that could form a triangle lies in the range 9<x<81.

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As three people are asked to throw a fair die. Then, the probability that they all get the same number is 1/36.

Probability:

Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).

According to the Question:

Theoretical, Probability is based on the probability that something will happen. Probability justification serves as the main basis for theoretical probability.

Given that,

There is a 1 in 6 chance that the dice will match.

The number of throwers is 3.

That way everyone has a chance to get the same number.

And the probability is:

The total outcome is 3 dice = ( 6 × 6 × 6 = 216 ).

Therefore,

probability of getting the same number = 6 × 1/6 × 1/6 × 1/6

                                                                   = 6 × 1/6 × 1 × 1/6 × 6

                                                                   = 6/6 × 1/36

                                                                   = 1 × 1/36

Therefore,

Probability of all three thrown is 1/36.

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she will score 100 % between 158 and 242.

What is a standard deviation?

The standard deviation is a measurement of how much a group of values vary or are dispersed. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

Here, we have

Given: When Julia goes bowling, her scores are normally distributed with a mean of 200 and a standard deviation of 14.

we have to find the percentage of the games that Julia bowls she scores between 158 and 242.

Mean = 200

she scores between 158 and 242

(158 - 200)/14  = - 3

(242 - 200)/14  =   3

Hence her score lies within - 3SD to + 3SD

As per the empirical rule  

100 % of data lies within - 3SD to + 3SD

Hence, she will score 100 % between 158 and 242.

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Answer:

237.5 in.² or the first option

Step-by-step explanation:

Base 1:  5 · 6.5 = 32.5

Base 2: 5 · 7.5 = 37.5

Base 3: 7.5 · 6.5 = 48.75

Multiply by 2 because 2 of each base.

2(32.5 + 37.5 + 48.75)

2(118.75)

237.5 in.²

Answer:

Teo is 7 and Richard is 18

Step-by-step explanation:

pls give me brainlist :)

The equation of the circle that has a center at (5, - 4) and intersects the point (5, - 2) will be (x - 5)² + (y + 4)² = 2².

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In our daily life, we always see circular objects for example our bike wheel.

The longest line which can be drawn inside the circle will be the diameter.

The equation of a circle with radius r and center (h,k) will be given as,

(x - h)² + (y - k)² = r²

As per the given circle,

(x - 5)² + (y + 4)² = r²

Since, it passes through (5,-2) so it must satisfy this point.

Put (5,-2)

(5 - 5)² + (-2 + 4)² = r²

r = 2

Thus, the equation of the circle will be (x - 5)² + (y + 4)² = 2².

Hence "The equation of the circle will be (x - 5)² + (y + 4)² = 2²".

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The statement that describes Jaden's error is; Jaiden should have added

zeros to each of the shorter decimals to get 2.615, 2.650, 2.700, and 2.623, then he should have compared them using place values.

What is error?

Actions that are inaccurate or incorrect are considered errors. An error is the same as a mistake in some contexts. The word 'errare,' which means 'to stray,' is where the etymology originates from. In statistics, the term "error" describes the discrepancy between the computed value and the correct value.

The place value indicates the multiple of 10 by which the digit is multiplied. The given numbers have the same values in the ones place value, the difference are in the numbers to the right of the decimal point.

The given numbers are;

2.615

2.65

2.7

2.623

The steps to order the numbers from least to greatest;

Add zeros to the shorter decimals such that each number have the same number of digits after the decimal point; 2.615, 2.650, 2.700 2.623

Then

Select the number with the lowest ones; Which gives all the numbers

Then

From the above list, select the number with the lowest tenth, and move them to the left of the list; Which gives the numbers, 2.615, 2.650, 2.623, 2.700

Next

From the above list, select the number with the lowest hundredth, and move them to the left of the list, in increasing order of the hundredth; Which gives the numbers, 2.615, 2.623, 2.650, 2.700

The numbers 2.615, 2.623,2.650, 2.700,  are in the order from least to

greatest.

Hence, Jaiden's error is that Jaiden should have added zeros to each of the shorter decimals to get 2.615, 2.650, 2.700, and 2.623, then he should have compared them using place values.

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Complete question:

Jaiden is ordering 2.615, 2.65, 2.7, and 2.623 from least to greatest. Here are his steps: (1) Compare and order 2.7 and 2.65 because they have the fewest digits. (2) Compare each digit of the numbers 2.615 and 2.623. * The units digits are equal. * The tenths digits are equal. * 1 < 2 in the hundredths place so 2.615 < 2.623. (3) Combine the two lists into one: 2.7, 2.65, 2.615, 2.623. Which statement describes Jaiden’s error?

(1) The numbers are listed from greatest to list

(2) The two numbers with the most digits should have been compared first

(3) Zeros should have been added to the numbers to get, 2.615, 2.065, 2.007, and 2.623. Then the numbers should be compared using place value

(4) He should have added zeros to each of the shorter decimals to get 2.615, 2.650, 2.700, and 2.623, then he should have compared them using place values.

Answer:

The odds of rolling a specific number on a 6-sided dice is 1 in 6, which can be written as a percentage by dividing 1 by 6 and then multiplying by 100. This gives us a percentage of 16.666666...%, which can be rounded to 16.67% if needed.

Answer:

y=-0.8x

Step-by-step explanation:

slope=(y2-y1)/(x2-x1)

=(4-(-4))/(-5-5)

=8/-10=   -0.8

y=-0.8x+b

4=-0.8(-5)+b

4=4+b

b=0

y=-0.8x