Can you please help me to solve this mathematical question:

(+1) - (-9) = ?

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

6 6/12 = 78/12.

Step-by-step explanation:

It all started when my mom met my dad...

You'll know the rest

Answer:

solving the inequality: \(x^2+x-2\geq 0\) we get \(\{x|x\leq -2 \ or \ x\geq 1\}\\\)

Option A is correct option

Step-by-step explanation:

We need to solve the inequality: \(x^2+x-2\geq 0\)

We can solve using factors:

\(x^2+x-2\geq 0\)

We will break the middle term, in such way that their sum is equal to middle term and product is equal to product of first and last term.

\(x^2+x-2\geq 0\\x^2+2x-x-2\geq 0\\x(x+2)-1(x+2)\geq 0\\(x-1)(x+2)\geq 0\\x-1\geq 0 \ or \ x+2\geq 0\\x\geq1 \ or \ x\leq-2\\\)

So, solving the inequality: \(x^2+x-2\geq 0\) we get \(\{x|x\leq -2 \ or \ x\geq 1\}\\\)

Option A is correct option

Answer:

Its A, {x| x≤-2 or x1}

Step-by-step explanation:

Edge 2020

Answer:

The area remaining, correct to the nearest square meter, is approximately 436 square meters.

Step-by-step explanation:

To find the area remaining, we need to subtract the area of the flower bed and the area of the pool from the total area of the garden.

The total area of the garden is:

40m x 15m = 600 square meters

The flower bed is 1m wide and runs along two shorter sides and one long side of the garden. So the area of the flower bed is:

(40m + 2 x 1m) x (15m + 2 x 1m) - 40m x 15m

= (42m x 17m) - (40m x 15m)

= 714 - 600

= 114 square meters

Now let's calculate the area of the pool. The diameter of the pool is 8m, so the radius is 4m. The area of the pool is:

π x (4m)^2

= 16π

≈ 50.27 square meters (rounded to two decimal places)

So the area remaining is:

600 square meters - 114 square meters - 50.27 square meters

≈ 435.73 square meters

Therefore, the area remaining, correct to the nearest square meter, is approximately 436 square meters.

Answer:

C

Step-by-step explanation:

Quotient is the result... Therfore 99 divided by 11 is 9

Answer:

The time taken by the four workers to paint the room is 1.5 hours.

Step-by-step explanation:

3 workers can paint a room in 2 hours

So, 1 worker can paint the same room in 6 hours.

Now the number of workers is 4.

So, the time in which the 4 workers can paint the same room is

= 6/4 = 1.5 hours

Answer:

b. If n is not divisible by 2 or n is not divisible by 3, then n is not divisible by 6.

Step-by-step explanation:

Division by Six

A number is divisible by six if it is divisible by both 2 and 3.

Negation:

If the number is not divisible by either 2 or 3, it is not by 6. So the answer is given by option b.

b.

Step-by-step explanation:

Division by Six

A number is divisible by six if it is divisible by both 2 and 3.

Negation:

If the number is not divisible by either 2 or 3, it is not by 6. So the answer is given by option b.

Answer:

4.5

Step-by-step explanation:

Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

Answer:

24 ft^2

Step-by-step explanation:

Surface area is the total area on the surface of the figure.

One side of the cube is 4 ft^2 (2ft*2ft)

there are 6 sides.

4ft^2 * 6 sides is 24 ft^2

Answer:

1. The minimum head breadth that will fit the clientele is of 3.95-in.

2. The maximum head breadth that will fit the clientele is of 9.25-in.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 6.6-in and a standard deviation of 1.1-in.

This means that \(\mu = 6.6, \sigma = 1.1\)

1. What is the minimum head breadth that will fit the clientele?

The 0.8th percentile, which is X when Z has a p-value of 0.008, so X when Z = -2.41.

\(Z = \frac{X - \mu}{\sigma}\)

\(-2.41 = \frac{X - 6.6}{1.1}\)

\(X - 6.6 = -2.41*1.1\)

\(X = 3.95\)

The minimum head breadth that will fit the clientele is of 3.95-in.

2. What is the maximum head breadth that will fit the clientele?

The 100 - 0.8 = 99.2nd percentile, which is X when Z has a p-value of 0.992, so X when Z = 2.41.

\(Z = \frac{X - \mu}{\sigma}\)

\(2.41 = \frac{X - 6.6}{1.1}\)

\(X - 6.6 = 2.41*1.1\)

\(X = 9.25\)

The maximum head breadth that will fit the clientele is of 9.25-in.

Combine the like terms:

3/7x + 1/7x = 4/7x

4 + -2 = 4-2 = 2

Answer: 4/7x + 2

There can 120 ways 5 friends can stand in a line.

What is Permutation?

Permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

How to determine this

How many different ways of 5 friends

i.e  5! = 5 * 4 * 3 * 2 *1

= 120 ways

Therefore, the numbers of ways for 5 friends is 120 ways

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Answer:

£59.02

Step-by-step explanation:

The number of units in meter readings will be 289. Then the cost of the gas will be £59.02.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of units and 'y' be the total cost. Then the equation is given as,

y = 0.13x + 21.45

The number of units is calculated as,

x = 6785 - 6496

x = 289

The cost of the gas will be given as,

y = 0.13(289) + 21.45

y = 37.57 + 21.45

y = £59.02

The number of units in meter readings will be 289. Then the cost of the gas will be £59.02.

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f'(x) = 0 * x^(-2) + (-2/x^3) = -2/x^3.

So, the derivative of f(x) = 2/x^2 is f'(x) = -2/x^3.

To find f'(x) for the function f(x) = x + 2, we can use the power rule for derivatives.

The power rule states that if we have a function of the form f(x) = x^n, then the derivative is given by f'(x) = n*x^(n-1).

In this case, the function f(x) = x + 2 can be written as f(x) = x^1 + 2.

Applying the power rule, we differentiate each term separately:

f'(x) = d/dx (x^1) + d/dx (2)

The derivative of x^1 is 1x^(1-1) = 1x^0 = 1.

The derivative of a constant term like 2 is 0, as the derivative of a constant is always 0.

Therefore, f'(x) = 1 + 0 = 1.

So, the derivative of f(x) = x + 2 is f'(x) = 1.

To find f'(x) for the function f(x) = 2/x^2, we can use the power rule and the constant multiple rule.

The power rule states that if we have a function of the form f(x) = x^n, then the derivative is given by f'(x) = n*x^(n-1).

The constant multiple rule states that if we have a function of the form f(x) = cg(x), where c is a constant, then the derivative is given by f'(x) = cg'(x), where g'(x) is the derivative of g(x).

In this case, the function f(x) = 2/x^2 can be written as f(x) = 2 * x^(-2).

Applying the power rule and the constant multiple rule, we differentiate each term separately:

f'(x) = d/dx (2 * x^(-2))

Applying the constant multiple rule, the derivative of 2 is 0, as it is a constant term.

Applying the power rule, the derivative of x^(-2) is (-2) * x^(-2-1) = (-2) * x^(-3) = -2/x^3.

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The distance between the points (-1, 5) and (-7, -3) is 10 units.

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Point 1 (-1,5)

Point 2 (-7,-3)​

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √[(-7 - (-1))² + (-3 - 5)²]

D = √[(-7 + 1)² + (-3 - 5)²]

D = √[-6² + (-8)²]

D = √[36 + 64]

D = √100

D = 10

Therefore, the distance is 10 units.

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Step-by-step explanation:

5x+10+(5xx)+5x10) = 5x+10+(5x²+50) = 5x²+5x+50

Answer: x < -2 or x > 6.

Step-by-step explanation: To solve the absolute value inequality |2x - 4| > 8, we need to consider two cases:

Case 1: 2x - 4 > 0

If 2x - 4 > 0, then we can simplify the inequality as follows:

|2x - 4| > 8

2x - 4 > 8 or 2x - 4 < -8

Solving the first inequality, we get:

2x - 4 > 8

2x > 12

x > 6

Solving the second inequality, we get:

2x - 4 < -8

2x < -4

x < -2

Therefore, the solution to the inequality when 2x - 4 > 0 is x < -2 or x > 6.

Case 2: 2x - 4 < 0

If 2x - 4 < 0, then we can simplify the inequality as follows:

|2x - 4| > 8

-(2x - 4) > 8 or -(2x - 4) < -8

Solving the first inequality, we get:

-(2x - 4) > 8

-2x + 4 > 8

-2x > 4

x < -2

Solving the second inequality, we get:

-(2x - 4) < -8

-2x + 4 < -8

-2x < -12

x > 6

Therefore, the solution to the inequality when 2x - 4 < 0 is x < -2 or x > 6.

Combining the solutions from both cases, we get:

x < -2 or x > 6

The point corresponding to the transformed function y=f(x/x)+1 is approximately (-4, 4.25), (-2, 2.5), (0, 1), (1, -0.5), (3, 1). 

we need to substitute x/x = 1 for the argument of the function f(x) and add 1 to the result.

Transformed point on point y on f(x) = f(x/x) + 1

(x, f(x)) (x, f(x/x) + 1)

(-4, 5) (-4, f(-2) + 1) ≒ (-4, 4.25)

(-2, 3) (-2, f(-1) + 1) ≈ (-2, 2.5)

(0, 0) (0, f(0) + 1)

= (0, 1)

(1, -2) (1, f(1) + 1) ≈ (1, -0.5)

(3, -4) (3, f(3/3) + 1) ≈ (3, 1)

Note that for the point (-4,5) you have to substitute x/x = -1/2 instead of x/x = 2. This gives x = -8. So the corresponding transformed point is (-4, f(-8) + 1) ≈ (-4, 2.75).

So the point corresponding to the transformed function y=f(x/x)+1 is approximately

(-4, 4.25), (-2, 2.5), (0, 1), (1, -0.5), (3, 1). 

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Answer:

18% I think

Step-by-step explanation:

23.75 x .179 = 4.25125

23.75 + 4.25 = 28

.179 = 17.9%

Answer:

y = \(\frac{4}{5}\) x + \(\frac{6}{5}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, - 2) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = \(\frac{6-(-2)}{6-(-4)}\) = \(\frac{6+2}{6+4}\) = \(\frac{8}{10}\) = \(\frac{4}{5}\) , then

y = \(\frac{4}{5}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 6 ) , then

6 = \(\frac{24}{5}\) + c ⇒ c = \(\frac{30}{5}\) - \(\frac{24}{5}\) = \(\frac{6}{5}\)

y = \(\frac{4}{5}\) x + \(\frac{6}{5}\) ← equation of line

Answer:

$1,000.

Step-by-step explanation:

200 kids divided by 25% or 4 = 50 then 50 x 20 = 1,000.

The answer is:

g(x + 1) = 6x + 1

g(4x) = 24x -5

Work/explanation:

To evaluate, I plug in x + 1 into the function:

\(\sf{g(x)=6x-5}\)

\(\sf{g(x+1)=6(x+1)-5}\)

Simplify

\(\sf{g(x+1)=6x+6-5}\)

\(\sf{g(x+1)=6x+1}\)

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

Do the same thing with g(4x)

\(\sf{g(4x)=6(4x)-5}\)

\(\sf{g(4x)=24x-5}\)

Hence, these are the answers.

Answer:

 \((\frac{1}{2}) ^{3} - (\frac{1}{4} )^{2} +\frac{1}{2} = \frac{9}{16}\)

Step-by-step explanation:

Explanation:-

Given

           \((\frac{1}{2}) ^{3} - (\frac{1}{4} )^{2} +\frac{1}{2}\)

      = \(\frac{1}{8} - \frac{1}{16} + \frac{1}{2}\)

     \(=\frac{2-1}{16} + \frac{1}{2}\)

     = \(\frac{1}{16} + \frac{1}{2}\)

     = \(\frac{1+8}{16}\)

     = \(\frac{9}{16}\)

Answer:

419

Step-by-step explanation:

a=3

d=11-3=8

\(a_{n}=a+(n-1)d\\n=53\\a_{53}=3+(53-1)*8\\=3+52*8\\=3+416\\=419\)

Answer: 4.8

Step-by-step explanation:

-0.5(3x + 5) and -1.5x + 2.5 are not equivalent expressions

The expressions are given as:

-0.5(3x + 5) and -1.5x + 2.5

Expand the bracket in the first expression

-1.5x - 2.5 and -1.5x + 2.5

By comparing both simplified expressions, we can see that they are not the same.

Hence, -0.5(3x + 5) and -1.5x + 2.5 are not equivalent expressions

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Answer:

90cm2

Step-by-step explanation:

i have worked it in the picture

hope you will understand

Answer:

77 Miles Per Hour

Step-by-step explanation:

Its that

Answer:

962.5 miles

Step-by-step explanation:

385 / 2 = 192.5

this is the amount per hour

192.5 times 5 = 962.5