simplify -2x+13=-7x+28

Answer:

\(f(3+h) = h^2 +9h + 23\)

Step-by-step explanation:

\(\text{Given that,}\\\\f(x) = x^2 +3x +5\\\\f(3+h) = (3+h)^2 +3(3+h) + 5\\\\~~~~~~~~~~~~=3^2 +2\cdot 3 \cdot h + h^2 +9+3h +5\\\\~~~~~~~~~~~~=9+ 6h +h^2 +14+3h\\\\~~~~~~~~~~~~=h^2 +9h + 23\)

Answer:

15. Answer: length = 15 ft; width = 3 ft

16. Answer: base = 14 cm; height = 5 cm

17. Answer: x² - 5x - 24 = 0

Step-by-step explanation:

15.

area of rectangle = length * width

length = x - 2

width = x - 14

area = (x - 2) (x - 14)

We are shown the area to be 45 ft².

We set the expression of the area equal to the given area and solve the quadratic equation for x.

(x - 2)(x - 14) = 45

x² - 14x - 2x + 28 - 45 = 0

x² - 16x - 17 = 0

(x - 17)(x + 1) = 0

x - 17 = 0  or  x + 1 = 0

x = 17  or x = -1

We discard the negative answer, x = -1, since it would give negative length and width.

x = 17

length = x - 2 = 17 - 2 = 15

width = x - 14 = 17 - 14 = 3

Answer: length = 15 ft; width = 3 ft

16.

area = ½bh

area = ½(x - 5)(x - 14)

area = 35

½(x - 5)(x - 14) = 35

(x - 5)(x - 14) = 70

x² - 14x - 5x + 70 = 70

x² - 19x = 0

x(x - 19) = 0

x = 0  or  x - 19 = 0

We discard x = 0 since it would give negative dimensions.

x = 19

base = x - 5 = 19 - 5 = 14

height = x - 14 = 19 - 14 = 5

base = 14

height = 5

Answer: base = 14 cm; height = 5 cm

17.

A polynomial with solutions x = a and x = b can be found by multiplying (x - a) by (x - b). Here, the solutions are x = -3 and x = 8.

[x - (-3)](x - 8) = (x + 3)(x - 8) = x² - 8x + 3x - 24 = x² - 5x - 24

Answer: x² - 5x - 24 = 0

Answer:

x = 45

Step-by-step explanation:

x + 135 = 180    {linear pair}

         x = 180 - 135

         x = 45

Answer:

1

Step-by-step explanation:

The square root of 1 is called 1.

In mathematics, the square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 4 is 2, because 2 x 2 = 4. The square root of 9 is 3, because 3 x 3 = 9.

The square root of 1 is 1, because 1 x 1 = 1. Therefore, the square root of 1 is simply called 1.

Answer:

-3

Step-by-step explanation:

(-4)(6)/12

-24/12

= -2

it will be nice if I get brainiest

Answer:

WRONG SUBJECT

Step-by-step explanation:

YOU'RE QUESTIOON WAS DELETED FOR THE WRONG SUBJECT

Answer:5

Step-by-step explanation:

yh thereu go

Answer:

8 grams

Step-by-step explanation:

u add 2 triangles

number line with closed circle on point negative 7 over 22 and arrow shaded to the left

In other words, we shade to the left of -7/22 and have a closed circle at this endpoint.

======================================================

Explanation:

Let's solve for m. To do so, we multiply both sides by 7 to clear out the fraction on the left side.

\(\frac{1}{7}m \le -\frac{1}{22}\\\\7*\frac{1}{7}m \le 7*\left(-\frac{1}{22}\right) \ \ \text{ ... multiply both sides by 7}\\\\m \le -\frac{7}{22}\)

The inequality sign doesn't flip since we didn't multiply both sides by a negative number.

The graph will involve a closed circle on the point -7/22 and an arrow shaded to the left. Therefore, it leads to choice D being the final answer.

This visually describes all values of m that either m = -7/22 or m < -7/22.

Side note: if there wasn't an "or equal to", then use an open circle or open hole, rather than a closed circle.

The partial derivatives with respect to x and y, we obtain dz/dx = cos(x - y) and dz/dy = -cos(x - y), respectively. When dz/dx and dz/dy are both zero, the crests and troughs are aligned.

The given water wave function is graphed as z = 1 + sin(x - y) using Mathematica. The crests and troughs of the wave are aligned in the direction of zero change in the height function, which can be determined by analyzing the partial derivatives. The steepest descent from a crest to a trough corresponds to the direction perpendicular to the alignment of crests and troughs. These conclusions are consistent with the graph of the wave.

The water wave function z = 1 + sin(x - y) represents a snapshot of a frozen water wave. To graph this function using Mathematica, the x and y coordinates are assigned appropriate ranges, and the resulting z-values are plotted.

To determine the alignment of the crests and troughs, we examine the rate of change of the height function. Taking the partial derivatives with respect to x and y, we obtain dz/dx = cos(x - y) and dz/dy = -cos(x - y), respectively. When dz/dx and dz/dy are both zero, the crests and troughs are aligned. Setting dz/dx = 0 gives cos(x - y) = 0, which implies x - y = (2n + 1)π/2, where n is an integer. This equation represents lines in the xy-plane along which the crests and troughs are aligned.  

For the steepest descent from a crest to a trough, we need to find the direction of maximum decrease in the height function. This direction corresponds to the negative gradient of the height function, which can be obtained by taking the partial derivatives dz/dx and dz/dy and forming the vector (-dz/dx, -dz/dy). Simplifying this vector, we get (-cos(x - y), cos(x - y)), which represents the direction perpendicular to the alignment of crests and troughs.    

Upon examining the graph of the wave, we can observe that the lines of alignment for the crests and troughs match the lines where the height function has zero change, confirming our conclusion from part (b). Similarly, the direction of steepest descent from a crest to a trough, indicated by the negative gradient, aligns with the steepest downward slopes on the graph.

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The two options to define increase in subscribers per amount of content is:

1)A Number of new subscribers divided by number of writers

2)Number of new subscribers divided by number of posts

Based on the fact that charlotte has launched two new websites and want to understand how to measure the increase in subscribers per amount of content.

The four options given to us are:

(Choice A) Number of new subscribers divided by number of writers (Choice B) Number of new subscribers divided by number of likes (Choice C) Number of new subscribers divided by number of posts (Choice D) Number of new subscribers divided by number of words

The only two choices which quantify content are number of writers and number of post. Hence A and C are the correct options.

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The complete question is given below:

Charlotte owns two entertainment websites. Charlotte wants to know which website gains more new subscribers per amount of content. Charlotte thought of two different ways to define this quantity. Identify these two definitions among the following options.

(Choice A)  Number of new subscribers divided by number of writers (Choice B)  Number of new subscribers divided by number of likes (Choice C)  Number of new subscribers divided by number of posts (Choice D)  Number of new subscribers divided by number of words

Answer:

Scientific Notation:

3.053 x 10^6

Expanded Form:

3053000

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3.053 × 10^6

Answer:

what scenario are these questions about

Answer:

111111111111111111111111111111111111111111Step-by-step explanation: btw its not ams

Answer:

4x+12 ≤ 0 or 4x+1>3

4x ≤ -12 or 4x+1 > 3

x ≤-3 or x >1/2

Robel's age will be 15 and Father's age will be 45, which is three times as old as Robel.

Robel's current age = x

Father's current age = 4x

After 5 years,

Robel's age = x + 5

Father's age = 4x + 5

After 5 years, father will be three times a old a Robel

4x + 5 = 3(x + 5)

4x + 5 = 3x + 15

x = 10

Therefore, Robel's current age is 10 years and father's current age is 40 years.

Let x represent the current age of Robel and 4x represent the current age of Robel's father.

We can use the formula 4x + 5 = 3(x + 5) to solve for x.

We rearrange the equation to get x = 10.

Robel's current age is 10 years and father's current age is 40 years.

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Hypothesis testing is the process of using statistics to determine the probability that a statement or assertion about a population parameter is true.

A hypothesis is a statement about the population that can be tested using sample data.

The null hypothesis (H0) is the default position that there is no relationship between two measured phenomena, while the alternative hypothesis (H1) is the position that some relationship does exist, which is usually the one that the researcher wants to establish.

The goal of a hypothesis test is to determine whether the sample data provide enough evidence to support the alternative hypothesis. If there is not enough evidence to support the alternative hypothesis, then the null hypothesis is not rejected.

Example 1: A company claims that their new machine produces parts with an average weight of 50 grams. The null hypothesis is that the machine produces parts with an average weight of 50 grams (H0: µ = 50), while the alternative hypothesis is that the machine does not produce parts with an average weight of 50 grams (H1: µ ≠ 50).

Example 2: A researcher wants to determine whether a new drug is effective in treating a particular condition. The null hypothesis is that the new drug is not effective in treating the condition (H0: µ1 - µ2 = 0), while the alternative hypothesis is that the new drug is effective in treating the condition (H1: µ1 - µ2 ≠ 0).

There are two types of hypothesis tests: one-sample tests and two-sample tests. A one-sample test compares a sample mean to a population mean, while a two-sample test compares two sample means to each other. The value of hypothesis testing is that it provides a way to make decisions based on data.

It allows researchers to determine whether a hypothesis about a population parameter is supported by the available data. It also allows researchers to estimate the probability that their results are due to chance, rather than a real effect. This can help researchers make more informed decisions about whether to accept or reject a hypothesis.

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Answer:

24 cups of flour

Step-by-step explanation:

For every 1 cup of flour, Jayla need 1/4 cups of water

1/4 in decimal form is 0.25

so

6÷0.25=24

Answer:

If the other angle measurment is 38° then angle EFC will be 142° ( 180-38= 142°)

Step-by-step explanation:

At point P, all three angles have a measure of is 180 degrees.

Lines are basic geometric figures made up of groups of points that extend indefinitely in opposite directions.

The only dimension they have is length; neither breadth nor thickness are present. They can be straight or curved.

The total of the angles at the place where the three lines intersect is 180 degrees. That point is designated P.

The first line's angle can be expressed as 3(x-2) degrees.

(3/5)y degrees can be used to denote the angle that the second line creates.

Twelve degrees can be used to illustrate the angle that the third line creates.

The two expressions can be set to be equal to one another:

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

When we simplify this equation, we obtain:

15(x-2) = 3y

5(x-2) = y

Let's now think about the triangle the three lines created. We are aware that a triangle's total angles equal 180 degrees. Therefore:

Angle A + Angle P + Angle B = 180 degrees

The following measures can be used to express angles:

Angle A = 3(x-2) + (3/5)y

Angle P = 42

Angle B = 12

When we enter these expressions into the formula, we obtain:

(3(x-2) + (3/5)y) + 42 + 12 = 180

Using the previous equation we discovered for y to simplify this equation:

3x - 6 + (3/5)(5(x-2)) + 54 = 180

3x - 6 + 3(x-2) + 54 = 180

6x + 42 = 180

6x = 138

x = 23

We can now apply the equation we discovered before for y:

5(x-2) = y

5(23-2) = y

5(21) = y

y = 105

As a result, the first line's angle is as follows:

3(x-2) = 3(23-2) = 63 °

The second line's angle is as follows:

(3/5)y = (3/5)(105) = 63°

Additionally, the third line's angle is 12°.

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The complete question attached below,

Answer:

903

Step-by-step explanation:

Answer:

129 x 6=774

774+1=775

Step-by-step explanation:

Hope this helps

Answer: C {1,2 -8,-5}

Step-by-step explanation:

The range is the set of all the values of y.

Range: The set of all y-values that a function passes through. Also the right coordinate in a coordinate pair.

In statistics, the difference between the largest and the smallest numbers in a data set.

Set: A well-defined group of objects.

So, you just take the y coordinates.

Hope this helps!!!

Answer:

I believe the unit price would be $2.97

Step-by-step explanation:

Hope this helps! :))
Please let me know if its incorrect.

The explicit formula for the given sequence is an = 3n + 1. The tenth term is 31.

To find the explicit formula for the sequence, we observe that each term is obtained by adding 3 to the previous term. This indicates that there is a linear relationship between the terms.

Let's denote the nth term as an. We can express the nth term in terms of n as follows:

an = a1 + (n - 1)d,

where a1 is the first term, n is the term number, and d is the common difference between consecutive terms.

In our given sequence, the first term a1 is 4 and the common difference d is 3. Substituting these values into the formula, we have:

an = 4 + (n - 1)3,

an = 4 + 3n - 3,

an = 3n + 1.

Now, to find the tenth term, we substitute n = 10 into the explicit formula:

a10 = 3(10) + 1,

a10 = 30 + 1,

a10 = 31.

The explicit formula for the sequence is an = 3n + 1, and the tenth term is 31.

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Answer:

26 ft

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

10^2+24^2 = c^2

100 +576 = c^2

676 = c^2

Take the square root of each side

sqrt(676) = sqrt(c^2)

26 = c

Answer:

26 ft

Step-by-step explanation:

Pythagoras theorem

a^2+b^2=c^2

10^2+24^2=676

square root of 676= 26

If 5 out of 200 things were flawed, the population's estimated defect percent would be 2.5%.

Percent, which is a relative figure used to denote hundredths of any amount. Since one percent (symbolized as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified. The word "percent" simply refers to "per hundred," and the sign for percentage is %. By multiplying the total or whole number by 100, one percent (or 1%) is equal to one hundredth of the whole or whole.

Here,

Total number of items=200

number of defective items=5

Percentage of defective items,

=5/200*100

=2.5%

Therefore, if 5 out of 200 things were defective, the population's estimated percentage of defective items is 2.5%.

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