For f(x) = 4x + 2 and g(x) = x² − 6, find (ƒ+ g)(x).

Answer:

29Kg

Step-by-step explanation:

P1=2Kg

P2=7Kg

P3=31Kg

P3-P1=29Kg

To find P1, P2 and P3 I started assigning the first prime number, 2, to P1 and tried to assign prime numbers to P2 and P3 so that the sum was 40, increasing them at each step.

I was lucky and I got the result after few steps :-)

Answer:

7.60

Step-by-step explanation:

Answer:

x = - 1 ± i\(\sqrt{2}\)

Step-by-step explanation:

Given

3s² + 8s = 2s - 9 ( subtract 2s - 9 from both sides )

3s² + 6s + 9 = 0

To complete the square

The coefficient of the s² term must be 1, so factor out 3 from 3s² + 6s

3(s² + 2s) + 9 = 0

add/subtract ( half the coefficient of the s- term )² to s² + 2s

3(s² + 2(1)s + 1 - 1) + 9 = 0

3(s + 1)² - 3 + 9 = 0

3(s + 1)² + 6 = 0 ( add 6 to both sides )

3(s + 1)² = - 6 ( divide both sides by 3 )

(s + 1)² = - 2 ( take the square root of both sides )

s + 1 = ± \(\sqrt{-2}\) = ± i\(\sqrt{2}\) ( subtract 1 from both sides )

s = - 1 ± i\(\sqrt{2}\)

Thus

s = - 1 + i\(\sqrt{2}\) , s = - 1 - i\(\sqrt{2}\)

Answer:

please look at detailed answers below

Step-by-step explanation:

example 1 is correct.

example 2:

x = (12 sin 15) / sin 75 = 3.22.

example 3:

x/sin 90 = 19/sin (180 - 90 -36)

x = (19 sin 90) / sin 54

= 23.5

example 4:

x/sin 53 = 7/sin (180 -90 - 53)

x = (7 sin 53)/ sin

= 9.29

Answer: C. Interest will be charged

Step-by-step explanation:

Answer:

Step-by-step explanation:

Interest will be charged is your answer!

Answer:

1 m 64 cm = 5 ft 4.6 inches

Step-by-step explanation:

Answer:

radius = 8.5 in

Step-by-step explanation:

the diagonal of the tablecloth will be the diameter of the table.

diagonal² = 15² + 8² = 225 + 64 + 289

diagonal = √289 = 17 in

radius = 17/2 = 8.5 in

The diameter of the table is 17 inches (0.43 m). Then the radius of the circular table will be 8.5 inches (0.22 m).

The radius of a circle is the distance between the center and the circumference.

It is a polygon with four sides. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees.

A 15-inch by 8-inch tablecloth is placed on a circular table.

Each of the four corners of the tablecloth touch the edge of the table.

That is shown in the diagram.

The diameter d is measured by the Pythagoras theorem.

d² = 15² + 8²

d² = 225 + 64

d² = 289

d² = 17²

 d = 17 inches

The diameter of the circle is 17 inches.

The radius is the half of the diameter. Then the radius will be

r = d / 2

r = 17 / 2

r = 8.5 inches

Thus, the radius of the circular table will be 8.5 inches.

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Answer:

18 people ordered beer.

Step-by-step explanation:

15 + 3 = 18 people

Answer:

18

Step-by-step explanation:

Add the 15 as well as the three people who purchased both wine and beer. The total for beer purchases would be 18.

Answer:

A = 76

Step-by-step explanation:

Formula of the area of a triangle: \(A=\frac{h*b}{2}\)

Formula of a rectangle: \(A=l*w\)

So starting with the triangle...You know that the height of the triangle is 7, and the base of the triangle is 8 because the base of the rectangle is the same as the triangle's base...

Now using the formula of the triangle...

A = \(\frac{7*8}{2}\)

= 28

Now find the area of the whole retangle...The length of the rectangle is 13 because 7+6=13; the width is 8

Now using the formula of the rectangle...

A = \(13*8\)

= 108

Now that you have the areas of both the triangle and the retangle...Do subtraction to find the shaded area...

\(108 - 28 = 76\)

Answer:

2+x=15-7/8x

Step-by-step explanation:

Answer:

Step-by-step explanation: the answer is -136 because you have the follow the steps of pemdas

We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

The test statistic needed to test the claim that whether a subject lies or does not lie is independent of the polygraph test indication is the chi-square statistic.

In this case, the grand total is 90. The row totals are 57 and 33, and the column totals are 42 and 48. The expected frequencies are as follows:

The chi-square statistic is calculated as 0.177. The p-value for the chi-square statistic is calculated using a chi-square table. The degrees of freedom for the chi-square table are the number of rows minus 1, multiplied by the number of columns minus 1.

Since the p-value is greater than 0.05, we fail to reject the null hypothesis. We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

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Let's break this problem into a few steps:

            ⇒ Amount of Candybar: Candy - (1/2)Candy = (1/2)Candy

           ⇒ Amount of Candy left:  

                    Total amount of candy - (1/6) * Total amount of candy

                                                 = (1/2) Candy - (1/6) *(1/2)Candy

                                                 = (1 - 1/6) * (6/7) Candy

                                                 = 5/6 * 1/2 = 5/12 Candy

Thus there is 5/12 of the candy left.

Answer:

1=c,2=a,3=b

uno es C, dos es A, tres es B

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

Here, we have,

we know that,

The sum of the angles in a triangle add to 180

x+2x+6x = 180

Combine like terms

9x= 180

Divide by 9

9x/9 = 180/9

x = 20.

Hence, The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

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complete question:

The sum of the angle measures in a triangle is 180°. The angles of a certain triangle measure x°, 2x°, and 6x°. Solve for x.

Answer:

0.167

Step-by-step explanation:

2 six sided dice= 12 total favorable outcomes

4&6= the 2 favorable outcomes

probability= fo/tfo

=2/12= 0.166666666 or 0.167

Answer:

9.95h + 5  ≤ 125

Step-by-step explanation:

let 'h' = number of hats

By using the formula for the distance we will see that the correct option is B:

√52

We will use the general formula to find the distance between two points (a, b) and (c, d)

it is:

distance = √( (a - c)^2 + (b - d)^2)

Here we want to find the distance between the points (-2,-3) and (4,1), if we use the above formula we will get:

distance = √( (-2 - 4)^2 + (-3 - 1)^2) = √( 36 + 16)

distance = √52

The correct option is B.

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Answer:

➨ f(-1) = 0

Step-by-step explanation:

➨ Look at the table and compare.

Notice that when x = -1, f(x) = 0

f(-1) is like substituting x = -1 and get the f(x) value at x = -1.

Thus, f(-1) = 0

Answer:

True

Step-by-step explanation:

44 x 10 = 440

30% x 0.1 = 3

Therefore 30% of 44 is equal to 3% of 440

Hey there!

\(Answer:\boxed{r>1}\)

\(-26+13r+2>2-13r\)

Let's start by simplifying both sides of the inequality.

\(13r-24>-13r+2\)

Now add 13r to both sides of the inequality.

\(13r-24+13r>-13r+2+13r\\26r-24>2\)

Now add 24 to both sides of the inequality.

\(26r-24+24>2+24\\26r>26\)

In our fourth/last step, we will divide both sides of the inequality by 26.

\(\frac{26r}{26}>\frac{26}{26}\\ r>1\)

\(\boxed{r>1}\text{ is your final answer.}\)

Hope this helps!

\(\text{-TestedHyperr}\)

Answer:

7 x 8x

Step-by-step explanation:

Using Law of exponents, The value of \(5\sqrt{\frac{8xz^{2} }{y^{3} } }\)   \((\frac{8xz^{2} }{y^{3} } )^{\frac{1}{5} }\)

Exponent rules are the laws that are applied to simplify exponent-based expressions. The principles of exponents make it simple to carry out numerous arithmetic operations, such as addition, subtraction, multiplication, and division, in a short amount of time. Additionally, these rules aid in the simplification of numbers with complex powers incorporating roots, fractions, and decimals.

Exponent rules, commonly referred to as the "laws of exponents" or "properties of exponents," facilitate the task of simplifying exponent-based statements. These guidelines are useful for reducing the complexity of expressions whose exponents are decimals, fractions, irrational numbers, or negative integers.

Given,

\(5\sqrt{\frac{8xz^{2} }{y^{3} } }\)

⇒ \((\frac{8xz^{2} }{y^{3} } )^{\frac{1}{5} }\)

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Answer: We can use algebraic manipulation to simplify the expression:

(f(x) - f(a)) / (sqrt(x) - sqrt(a))

Multiplying the numerator and denominator by the conjugate of the denominator, we get:

[(f(x) - f(a)) / (sqrt(x) - sqrt(a))] * [(sqrt(x) + sqrt(a)) / (sqrt(x) + sqrt(a))]

Simplifying the numerator, we get:

[f(x) - f(a)] * [sqrt(x) + sqrt(a)]

Expanding the numerator, we get:

f(x) * sqrt(x) + f(x) * sqrt(a) - f(a) * sqrt(x) - f(a) * sqrt(a)

We can simplify this expression by subtracting and adding f(a) * sqrt(x) to get:

f(x) * sqrt(x) - f(a) * sqrt(x) + f(a) * sqrt(x) + f(x) * sqrt(a) - f(a) * sqrt(a)

Factoring out common terms in the first two and last two terms, we get:

sqrt(x) * [f(x) - f(a)] + sqrt(a) * [f(x) - f(a)]

Now we can simplify further by factoring out the common factor of [f(x) - f(a)]:

[f(x) - f(a)] * [sqrt(x) + sqrt(a)] / [sqrt(x) - sqrt(a)]

At this point, we can take the limit as x approaches a. Note that this expression is in the indeterminate form 0/0. We can use L'Hopital's rule to evaluate the limit. Differentiating the numerator and denominator with respect to x, we get:

[f'(x) * (sqrt(x) + sqrt(a)) + (f(x) - f(a)) / (2 * sqrt(x))] / [1 / (2 * sqrt(x))]

Taking the limit as x approaches a, we get:

[f'(a) * (sqrt(a) + sqrt(a)) + (f(a) - f(a)) / (2 * sqrt(a))] / [1 / (2 * sqrt(a))]

Simplifying, we get:

2 * f'(a) * sqrt(a)

Therefore, the limit of (f(x) - f(a)) / (sqrt(x) - sqrt(a)) as x approaches a is equal to 2 * f'(a) * sqrt(a).

Step-by-step explanation:

Answer: C) 1/7

Step-by-step explanation:

Find the Slope

(−7, 0) , (0, 1)

Slope is equal to the change in y over the change in x, or rise over run.

           change in y

    m =  _________

           change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called rise).

            \(y_2 -y_1\)

    m = ______

           \(x_2 - x_1\)

Substitute in the values of x and y into the equation to find the slope.

            1 − (0)

    m =  ______

            0 − (−7)

Simplify the numerator.

                1

    m =  ______

            0 − (−7)

Simplify the denominator.

Multiply −1 by −7.

                1

    m =  _____

             0 + 7

Add 0 and 7.

             1        

    m = ___

             7

The option II "The interval is narrower than a 98% confidence interval would be" and III "95% of all samples would show mean commercial length between 23 and 27 seconds" is the true about the question. So the option d is correct.

If all possible samples are taken and confidence intervals are calculated, 95% of them will include the true population mean somewhere within their range.

Because of the large margin of error, a 98 percent confidence interval would be wider than a 95 percent confidence interval. So, here we are. The confidence interval is narrower than a 98% confidence interval.

Furthermore, 95% of all samples would have a mean commercial length of 23 to 27 seconds. As a result, the correct answer is II and III (d).

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Answer:

d

Step-by-step explanation: