h(x)= 3x+2

find h(x+1)​

Answer:

To solve the polynomial (g^2 + 9g + 18 = 0) using the X or Box method, you need to factor the polynomial into two binomials. To do this, you need to find two numbers that multiply to 18 and add up to 9. The two numbers are 6 and 3, so the polynomial can be factored as:

g^2 + 9g + 18 = (g + 6)(g + 3) = 0

To find the solutions, you set each factor equal to 0 and solve for g:

g + 6 = 0, so g = -6

g + 3 = 0, so g = -3

The solutions to the polynomial are g = -6 and g = -3.

Step-by-step explanation:

i) N: The quadratic inequality -x²+x+6≥0 can be factored as -(x-3)(x+2)≥0. Thus, the solution set is {1,2,3,4,5,...}. ii) Z: The quadratic inequality can be factored as -(x-3)(x+2)≥0.

The values of x that satisfy the inequality are x ≤ -2 and x ≥ 3. Thus, the solution set is {...,-3,-2,-1,0,1,2,3,...}. iii) R: The quadratic inequality can be factored as -(x-3)(x+2)≥0. The values of x that satisfy the inequality are x ≤ -2 and x ≥ 3. Thus, the solution set is (-∞,-2] ∪ [3,∞).

Let the number of mathematics books be x and the number of biology books be y. Then, x+y=16 and 120x + 80y = 1560. Solving for x and y, we get x=9 and y=7. Thus, the person bought 9 mathematics books and 7 biology books.

a) f is a function because for each value of a and b in N, there is a unique value of a+b. b) g is not a function because for a given value of |ab|, there can be multiple values of a+b, since a and b can take on any real values.

a) Dom(f) = R and Dom(g) = R. b) Dom(f+g) = R and Dom(fg) = R. c) Dom(1/f) = {x | x ≠ 0} and Dom(√f) = {x | x ≥ 0}. d) Dom(fog) = Dom(g) = R. e) Dom(gof) = Dom(f) = R.

To find the roots of the polynomial x^4 - x^3 - 5x^2 - x - 6, we can use the rational root theorem to test possible rational roots. The possible rational roots are ±1, ±2, ±3, ±6. Testing these values, we find that x=-1 and x=2 are roots of the polynomial.

Using long division, we can factor the polynomial as (x-2)(x+1)(x^2-3x-2), which has additional roots of x=3+√11 and x=3-√11. Thus, the roots of the polynomial are x=-1, x=2, x=3+√11, and x=3-√11.

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Answer:

Step-by-step explanation:

c   (3,5)

Answer:

Step-by-step explanation:

The ratio 4:5 can be like a fraction.

Girls to boys, respectively, is 4:5.

This means for every 4 girls, there are 5 boys.

Now, to get an equivalent fraction you must multiply both the numerator and denominator by the same number.

In this problem, there are 20 girls, which represents the 4 in 4:5.

So we have 4 multiplying by what to get 20?

4x=20, x=5

Now, you must multiply the amount of boys by the same number you multiplied the girls.

5x5=25. There were 25 boys.

4/5=20/x

The surface area of the given figure would be = 85,536cm²

To calculate the surface area of the triangular prism the formula given below is used:

Surface area = bh ( b1+B2+b3)l

b = 9cm

h = 12cm

l = 22cm

b1 = 12

b 2 = 9

b 3 = 15

Surface area;

= 9×12( 12+9+15)22

= 108 × 36×22

= 85,536cm²

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Answer:

d. 20

Step-by-step explanation:

28 ÷ (100%+40%)

= 28 ÷ 140%

= 28 ÷ 1.4 = 20

Answer:

option d

Step-by-step explanation:

Let the number be x

40% of x = 0.40x

Increased by 40% = 28

That is ,

           x + 0.40x = 28

               1.40x = 28

                   \(x = \frac{28}{1.40}\\\)

                  \(x = \frac{28 \times 100}{1.40 \times 100 } = \frac{28 \times 100}{140} =\frac{4 \times 100}{20} = 4 \times 5 = 20\)

Therefore, the number is 20

Answer:

20.5730406

Step-by-step explanation:

F ( x + 5 )= x ^2 + 12 x + 29

The composition (gof)(x) of the given functions is (g°f)(x) = x² + 12 x + 29

Function is a type of relation, or rule, that maps one input to specific single output.

For two given functions f(x) and g(x), the composite function

(g ° f)(x) is g(f(x))

we know that:

g(x) = x+5

f(x) = x² + 2x - 6

Then:

(g°f)(x) = g(f(x))

So, we just need to evaluate g(x) in f(x):

g(f(x)) = f(x) + 5 = (x² + 2x - 6) + 5

(g°f)(x) = x² + 12 x + 29

Then the correct answer is (g°f)(x) = x² + 12 x + 29

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To find the slope, equation, and intercept of the line containing the points (1,3) and (1,2), we can use the slope-intercept form of a line equation, y = mx + b, where m is the slope and b is the y-intercept.

(a) The slope of a line can be calculated using the formula (y₂ - y₁) / (x₂ - x₁) for two points (x₁, y₁) and (x₂, y₂). In this case, the points are (1,3) and (1,2). Since the x-coordinates are the same, the denominator becomes 1 - 1, resulting in a denominator of 0. Division by zero is undefined, so the slope is undefined in this case.

(b) The equation of a line in slope-intercept form is y = mx + b. Since the slope is undefined, we cannot write the equation in slope-intercept form as we do not have a value for m.

(c) The y-intercept represents the point where the line intersects the y-axis. In this case, the x-coordinate of both points is 1, so the line is vertical and parallel to the y-axis. Since the line is vertical, it does not intersect the y-axis, and therefore there is no y-intercept.

In summary, the slope is undefined, the equation cannot be written in slope-intercept form, and there is no y-intercept for the line containing the points (1,3) and (1,2) as the line is vertical.

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Answer:

Step-by-step explanation:

Answer:

770 inches of cardboard is needed to build this box

Step-by-step explanation:

Use the formula for cubes B x W x H

The base of the cube will be 7 inches the length is 11 inches, and the height is 10 inches. Then, we multiply.

7 x 11 x 10 = 770

(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

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There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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Answer:

about =502.65

Step-by-step explanation:

The power calculation for the Kolmogorov-Smirnov test, Cramer von Mises test, Anderson-Darling test, and Shapiro-Wilk test applied to an exponential distribution can be done using statistical software or with the use of critical values from tables. The power of a statistical test is defined as the probability of correctly rejecting the null hypothesis when it is indeed false, i.e., detecting a true difference or effect. In this case, we want to calculate the power of each test to detect departures from an exponential distribution. The power calculation of the tests can be done using the following steps:

Step 1: Set up the null and alternative hypotheses: The null hypothesis (H0) is that the data follows an exponential distribution, and the alternative hypothesis (Ha) is that the data does not follow an exponential distribution.

Step 2: Select the significance level and sample size: Choose a significance level α (usually 0.05) and the sample size n.

Step 3: Generate the data: Generate a sample of size n from the exponential distribution.

Step 4: Compute the test statistic: Compute the test statistic for each test using the generated data. For the Kolmogorov-Smirnov and Cramer von Mises tests, the test statistic is the maximum deviation between the empirical distribution function of the data and the cumulative distribution function of the exponential distribution. For the Anderson-Darling test and Shapiro-Wilk test, the test statistic is a weighted sum of squared deviations between the observed values and the expected values under the null hypothesis.

Step 5: Determine the critical value or p-value, Determine the critical value or p-value of each test for the given significance level α and sample size n. This can be done using statistical software or by consulting tables.

Step 6: Calculate the power: Calculate the power of each test using the critical value or p-value from step 5 and the test statistic from step 4. The power is the probability of correctly rejecting the null hypothesis when it is indeed false.

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Answer:

one more cup

Subtract 3 and two

Answer:

1 cup of flour.

Step-by-step explanation:

Since you already have 2, you can just subtract the two numbers. 3 cups (needed) - 2 cups (you already have) = 1 cup (needed).

Answer:

Step-by-step explanation:

Going up: growth

Going down: decay

\(f(x)=45(1.34)^x\) shows a growth, and the rate of growth is 34%

Hope this helps!

Answer:

9 sqrt 3   in^2

Step-by-step explanation:

Assuming this is a equilateral triangle

 find height

   sin 60 = height/6

    6 sqrt (3)/2   = height

      3 sqrt 3 = height

 area = 1/2  base * height

          = 1/2  * 6 * 3 sqrt 3

            = 9 sqrt 3  in^2

\(\huge \text{Hello there! :)}\)

Answer:

The algebraic expression is as followed:

Step-by-step explanation:

Given the following question:

If you have any doubts about my answer please let me know.

\(-Nature-\)

\(\huge \text{Thanks for choosing Brainly! :)}\)

Answer:

8.01 is the answer

Answer:

8.01

Step-by-step explanation:

Answer:

b, and c

Step-by-step explanation:

Answer:

684

Step-by-step explanation:

Since 90% = 0.9

0.9 x 760

Which equals 684

Please mark as brainliest

Answer:

=684

Step-by-step explanation:

90% of 760

90/100 x 760

=684

Answer:

8 months

Step-by-step explanation:

You: $20 + 15.50 per month     I       Your friend: $88 + 7

First month: 35.50                     I        First month: 95.00

Second month: 51.00                I        Second month: 102.00

Third month: 66.50                   I        Third month: 109.00

Fourth month: 82.00                I         Fourth month: 116.00

Fifth month: 97.50                    I         Fifth month: 123.00

Sixth month: 113.00                  I        Sixth month: 130.00

Seventh month: 128.50           I        Seventh month: 137.00

Eighth month: 114.00             I         Eighth month: 114.00

Answer:

bbtwiaoKjksetkmdww6inds

Answer: 193473

Step-by-step explanation:

999 x 777 = 776223 sheets used

Balance not used are

969696 - 776223 = 193473

By the quadratic formula, we find that the two zeroes of the quadratic function y = x² - 20 · x + 32 are x₁ = 10 + 2√17 and x₂ = 10 - 2√17, respectively.

A value of x is a zero of a polynomial if and only if \(\sum\limits_{i=0}^{n} c_{i}\cdot x^{i} = 0\), the quadratic formula for second order polynomials of the form a · x² + b · x + c = 0 is presented below:

\(x =\frac{-b \pm \sqrt{b^{2}-4\cdot a \cdot c}}{2\cdot a}\)

If we know that a = 1, b = -20 and c = 32, then the roots of the second order polynomial are:

\(x = \frac{20 \pm \sqrt{(-20)^{2}-4\cdot (1)\cdot (32)}}{2\cdot (1)}\)

\(x = 10 \pm 2\sqrt{17}\)

By the quadratic formula, we find that the two zeroes of the quadratic function y = x² - 20 · x + 32 are x₁ = 10 + 2√17 and x₂ = 10 - 2√17, respectively.

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The graph of the function f(x) = Root Index 3 Start Root x End Root  has an inflection point at (0, 0), goes through (negative 3, negative 1. 5), and through (3, 1.5) on the coordinate plane. On the other hand, the graph of g(x) is shown to be two units to the left of f(x) and with an inflection point at (negative 2, 0).

Therefore, to find the equation of the graph of g(x), we need to apply the horizontal shift to f(x), and as a result, g(x) = Root Index 3 Start Root (x + 2) End Root. We know that the graph of g(x) is two units to the left of the graph of f(x), and therefore we can write the equation of g(x) in the form of f(x + 2). Since f(x) is equal to Root Index 3 Start Root x End Root, the equation of g(x) is Root Index 3 Start Root (x + 2) End Root.

Hence, the answer to the given question is option (A) g(x) = Root Index 3 Start Root x minus 2 End Root.

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Answer:

a. \(\frac{3}{5} = \frac{1}{5} + \frac{1}{5} + \frac{1}{5}\)  

b. \(\frac{3}{5} = \frac{2}{5} + \frac{1}{5}\)

I hope this helps!

Step-by-step explanation:

3/5=1/5+1/5+1/5

3/5=2/5+1/5