Fully factorise x ² + 18x​

Answer: The book in the middle would be the best choice, or worth best based off the price.

Step-by-step explanation:

To figure out how much each page costs, you take the cost and divide it by the number of pages. The price per page are listed below for each book:

Left - 0.05

Middle - 0.03

Right - 0.04

Answer:

I haven't learn this yet but you can maybe ask desmos that app is helpful maybe it can help with your question.

From the graph, it can be send that C. The range represents the number of users each month for 24 months

It should be noted that the range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.

From the given graph, we can see the x-axis represents the number of months and the y-axis represents the number of users.

The range depends on the y axis. Looking at the y axis we see the number of users for each month. Looking at the x axis we see that it's 24 months not 20 months.

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If rectangle has an area of 114cm squared and a perimeter of 50 cm, the dimensions of the rectangle are approximately 5 cm by 22.8 cm.

Let's assume the length of the rectangle is "l" and the width is "w". We can start by using the formula for the area of a rectangle, which is A = lw. From the given information, we know that the area is 114cm².

So, we have:

lw = 114

Next, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w. From the given information, we know that the perimeter is 50cm.

So, we have:

2l + 2w = 50

We now have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution by solving the first equation for l:

l = 114/w

We can then substitute this expression for l in the second equation:

2(114/w) + 2w = 50

Multiplying both sides by w to eliminate the fraction, we get:

228 + 2w² = 50w

Rearranging and simplifying, we get a quadratic equation:

2w² - 50w + 228 = 0

We can solve for w using the quadratic formula:

w = [50 ± √(50² - 4(2)(228))]/(2(2)) ≈ 11.4 or 5

Since the length and width must be positive, we can discard the solution w = 11.4. Therefore, the width of the rectangle is approximately 5 cm. We can then use the equation lw = 114 to solve for the length:

l(5) = 114

l ≈ 22.8

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Step-by-step explanation:

if 4x = 60

Then

x = 60 / 4

x = 15

Hope it will help :)❤

Answer:

According to the graph the point (0, 4) is the maximum of the function.

So the domain:

The range:

( 2x + 11 ) ( 2x - 11 ) is factor of linear equation .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

                                      A linear equation with one variable is one that contains just one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value.

= 4x² - 121

= (2x)² - ( 11 )²

= ( 2x + 11 ) ( 2x - 11 )

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Answer:

x = -175

Step-by-step explanation:

Step 1: Define

h(x) = -25

h(x) = 1/5x + 10

Step 2: Substitute and Evaluate

-25 = 1/5x + 10

-35 = 1/5x

x = -175

Answer:

1, 2, 3, 6

Step-by-step explanation:

1*6=6 and 2*3=6

Answer:

The factors of 6 are...1,2,3, and 6

Answer:

Step-by-step explanation:

81 texts in 9 hours

So you do 81 divided by 9

Which givrs you 9 text an hour

The different coordinates after respective rotation are:

1) A'(2, 0)

2) A'(0, -2)

3) A'(-2, 0)

There are different methods of transformation such as:

Translation

Rotation

Dilation

Reflection

Now, the coordinate of the given point A is: A(0, 2)

1) The rule for rotation of 90 degrees clockwise is:

(x, y) →(y,-x)

Thus, we have:

A'(2, 0)

2) The rule for rotation of 180 degrees is:

(x, y) → (-x,-y)

Thus, we have:

A'(0, -2)

3) The rule for rotation of 180 degrees is:

(x, y) → (-y,x)

Thus, we have:

A'(-2, 0)

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Answer:

18.402488 inches

Step-by-step explanation:

all you have to do is multiply the speed and minutes

3.484 x 5.282 = 18.402488

Dont forget to round if the question asks for it.

Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

The solution to the given system of equations is x = -2, y = 5/3. That is (-2, 5/3)

From the question, we are to determine the solution to the given system of equations

The given system of equation is

y = 2/3 x + 3     ----------- (1)

x= -2                 ----------- (2)

The value of x has been given in the second equation of the system of equations.

Now, we will determine the value of y

From the second equation, we have that

x = -2

Substitute the value of x into the first equation,

y = 2/3 x + 3

y = 2/3 (-2) + 3

y = -4/3  + 3

y = 5/3

Hence, the solution to the given system of equations is x = -2, y = 5/3. That is (-2, 5/3)

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Answer:

p= -12

Step-by-step explanation:

if we put the number where p is in the problem and add positive 2 the number is smaller than -9. It is -10.

Recall that

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

cos(x - y) = cos(x) cos(y) + sin(x) sin(y)

If you subtract the first equation from the second one, you end up with

cos(x - y) - cos(x + y) = 2 sin(x) sin(y)

so that

sin(3x) sin(x) = 1/2 (cos(3x - x) - cos(3x + x)) = 1/2 (cos(2x) - cos(4x))

Then in the integral,

\(\displaystyle \int \sin(3x)\sin(x)\,\mathrm dx = \frac12 \int(\cos(2x)-\cos(4x))\,\mathrm dx \\\\ = \frac12 \left(\frac12 \sin(2x) - \frac14 \sin(4x)\right) + C \\\\ = \boxed{\frac14 \sin(2x) - \frac18 \sin(4x) + C}\)

The slope of the line is negative three fourths. option C

You should know that slope is the rate of change of y with respect to x. We can equally say that  slope is the rise over run or an increase in y over an increase in x vice versa.

The given coordinates for the computation of the slope are

(-2,3) and (2,0)

The formula for slope is

m= (y₂ -y₁)/(x₂-x₁)

This implies that the slope of the line is

m=(0-3)/(2+2)

m= -3/4

In conclusion, the slope of the line is negative three fourths

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Answer:

c: -3/4

Step-by-step explanation:

Answer-

B) 18a3 is the highest common factor

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

1. 4

2.40

3. 28

4.11

5.12

6. 1

7. 1200

Step-by-step explanation:

Answer:

7 donkeys

Step-by-step explanation:

Given

A system consisting of donkeys and tourists

Heads = 50

Legs = 114

Required

Calculate number of donkeys.

Represent donkeys with D and tourists with T.

By means of identification; donkeys and tourists (human) both have 1 head.

This implies that

Number of Heads = D + T

50 = D + T ----- Equation 1

While each donkey have 4 legs, each tourists have 2 legs.

This implies that

Number of legs = 4D + 2T

114 = 4D + 2T ---- Multiply both sides by ½

114 * ½ = (4D + 2T) * ½

57 = 4D * ½ + 2T * ½

57 = 2D + T ----- Equation 2

Subtract equation 1 from 2

57 = 2D + T

- (50 = D + T)

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

57 - 50 = 2D - D + T - T

7 = D

Recall that D represents the number of donkeys.

So, D = 7 implies that

The total number of donkeys are 7

Answer:

The correct option is  B

Step-by-step explanation:

From the question we are told that

   The  sample size is  \(n  =  64\)

    The  proportion that choose to vaccinate the teen boys is  \(\r p =  0.12\)

considering the first statement

The 95% confidence interval is 12% ± the margin of error*standard deviation is  false because

The 95% confidence interval is is  %12 ± the margin of error

considering the second statement

The confidence interval should not be calculated due to the small sample size is true because from the central limit theorem

   np =  64 * 0.12 =  7.68

and this value is  less than 10  hence the confidence interval should not be calculated

considering the third statement

A 99% confidence interval will be smaller than the 90% confidence interval is false

  This is because as the confidence level increase (for example  from 90% to  99%) the margin of error increase which increases the confidence interval  

By solving the given equations, the values of x are 7 and -7.

So, |x| -7:

Now, solve for x as follows:

Then,

Therefore, by solving the given equations, the values of x are 7 and -7.

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Answer:

see below

Step-by-step explanation:

All the given equation have mod function in them .We know that, if

\(\longrightarrow |x| = y \\\)

then ,

\(\longrightarrow x =\pm y \\\)

1) |k| = 8

\(\longrightarrow k =\pm 8 \\\)

__________________________

2)|x| = 7

\(\longrightarrow x = \pm 7\\\)

__________________________

3) |a+2| = 8

\(\longrightarrow a + 2 =\pm \\\)

\(\longrightarrow a = 8-2 \ or \ -8-2\\\)

\(\longrightarrow a = 6 , -10 \\\)

__________________________

4) |8a|/10 = 2

\(\longrightarrow |8a| = 20 \\\)

\(\longrightarrow 8a =\pm 20\\\)

\(\longrightarrow a =\pm\dfrac{20}{8} \\\)

\(\longrightarrow a = \pm\dfrac{5}{2} \\\)

___________________________

5)|-m+9| = 13

\(\longrightarrow -m+9 =\pm 13\\\)

\(\longrightarrow m -9 =\pm 13\\\)

\(\longrightarrow m = 13-9\ or \ -13-9\\\)

\(\longrightarrow m = 4 , -22\\\)

____________________________

6)|7-5x|=27

\(\longrightarrow 7-5x =\pm 27 \\\)

\(\longrightarrow 5x -7 =\pm 27\\\)

\(\longrightarrow 5x = 27 +7 \ or \ -27+7 \\\)

\(\longrightarrow 5x = 34 \ or -20 \\\)

\(\longrightarrow x =\dfrac{34}{5}, -4\\\)

_____________________________

7)|2x+7|/5=5

\(\longrightarrow |2x+7|=25\\\)

\(\longrightarrow 2x +7 =\pm 25 \\\)

\(\longrightarrow 2x = 25-7 \ or \ -25-7\\\)

\(\longrightarrow 2x = 18 \ or \ -32\\\)

\(\longrightarrow x = 9 , -16 \\\)

And we are done!

Based on the information, the correct answer is B. Reject the null hypothesis; there is sufficient evidence to warrant rejection of the claim that the age bracket is independent of the choice for the cause of the United States' involvement in other countries' nuclear programs.

The test statistic is greater than the critical value, so we reject the null hypothesis. This means that there is sufficient evidence to conclude that the age bracket is not independent of the choice for the cause of the United States' involvement in other countries' nuclear programs.

In other words, the age bracket of a respondent is related to the reason they believe the United States should be involved in restrictions made on other countries' nuclear programs.

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Answer:

35 failed and 140 passed

Step-by-step explanation:

Let  p = number who passed

f = number who failed

p+f = 175

4 times the number of students passed as failed, so we need to balance this to set it equal

4f = p

Substitute this into the first equation

4r+f = 175

5f = 175

5f/5 =175/5

f = 35

Now find the number who passed

p = 4f

p = 4*35

p =140

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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