If f(x) = x..........

Answer:

x+17 = 112

Step-by-step explanation:

Vocabulary:

Increased = Addition

Is = Equal Sign

x+17 = 112

The expression can be written as a sum of 3 terms, then the correct option is C.

To check who is correct, we need to expand the given product, here we have:

(5p + 3)(p + 1)

Expanding that we will get the polynomial:

(5p + 3)(p + 1) = (5p)*p + (5p)*1 + 3p + 3

                      = 5p² + 5p + 3p + 3

                      = 5p² + 8p + 3

So the expression has 3 terms,  so the entire expression is a sum of 3 terms.

Then the correct option is C, neither is correct.

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Answer:

I belive 14,203

Step-by-step explanation:

Answer:

E. 16

Step-by-step explanation:

Perimeter of the triangle = 4x+4x+(x+7)

Perimeter of square = 4(x+3)

We know that the perimeters are equal so we can form an equation to solve for x:

9x+7 = 4x + 12

Now we can subtract 4x from both sides to move the xs to the left side, and the same with the 7 so we have the variable on one side and the constant on the other:

9x+7-7-4x=12+4x-4x-7

5x = 5

Now we divide both sides by 5 to get:

5x/5 = 5/5

x = 1

Now we can use this value to figure out the perimeter of the triangle:

P = 9x + 7

x=1, substitute into equation:

P = 9(1) + 7

P = 16

Hope this helped!

Answer:

The smaller number in 0.01

Step-by-step explanation:

To find this answer, just take the fraction and find the quotient of both numbers.

1.789/178 = 0.01005056179

Now take the quotient and compare it to 0.05.

Is 0.01 larger or 0.05 - the answer is 0.01.

Answer:

(x + 4)^2 + (y + 7)^2 = 36

Step-by-step explanation:

The given information describes a circle with its center at (-4, -7) and tangent to the vertical line x = 2. To determine the radius of the circle, we need to find the distance between the center and the tangent line.

The distance between a point (x1, y1) and a line Ax + By + C = 0 is given by:

d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)

In this case, the equation of the line is x = 2, which can be written as 1x + 0y - 2 = 0. Therefore, A = 1, B = 0, and C = -2. The center of the circle is (-4, -7), so x1 = -4 and y1 = -7. Substituting these values into the formula, we get:

d = |1*(-4) + 0*(-7) - 2| / sqrt(1^2 + 0^2)

d = |-6| / sqrt(1)

d = 6

Therefore, the radius of the circle is 6 units. The equation of a circle with center (h,k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values we have found, we get:

(x + 4)^2 + (y + 7)^2 = 36

This is the equation of the circle that satisfies the given conditions.

Answer:

it droped 40 degres

Step-by-step explanation:

Answer:

The temperature dropped 4 degrees per 1000 feet.

Step-by-step explanation:

90 - 50)/(10,000:1,000) = 40/10 = 4 degrees per 1000 ft

Answer:

The sun released a strong burst of water vapor. As Earth cooled, water in the atmosphere condensed. Materials collided due to strong gravitational forces. The ozone layer formed to protect against harmful UV ray exposure

Step-by-step explanation:

Answer:

As Earth cooled, water in the atmosphere condensed

Step-by-step explanation:

dues to high temps, water evaporated.

as the earth's surface cooled, water condensed and formed oceans

rocks hardened to form continents

Answer:

The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.

Step-by-step explanation:

This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.

Answer:

Here is the answer:

Step-by-step explanation:

Prime factorization of 64 would be 2 x 2 x 2 x 2 x 2 x 2.

Can also be written as 64 = 2^6

Answer:

\(64 \: \: \: \: \: 2 \\ 32\: \: \: \: \: \: 2 \\ 16 \: \: \: \: \: 2\\ 8 \: \: \: \: \: \: 2 \\ 4 \: \: \: \: \: \: 2 \\ 2 \: \: \: \: \: \: 2 \\ 1 \: \: \: \: \: \: \: \: \\ \\ 64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\ 64 = (2 {)}^{6} \)

Step-by-step explanation:

5+2•(-3)-10/(-5)

15+2•(-3×2)

15+2•-6

15-12

3

So; the answer is 3

The correct statement is; Pentagon M’N’P’Q’R is smaller than pentagon MNPQR because the scale factor is smaller than 1.

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

If a polygon is dilated by a scale factor = k

Rule to be followed as;

(x, y) → (kx, ky)

Here, k = Scale factor

If 0 < k < 1, size of the image will be reduced.

Similarly, k > 1, size of the image will be enlarged.

We are given that Pentagon MNPQR is dilated with the origin as the center of dilation to form an image M'N'P'Q'R'.

Rule used for the transformation,

(x, y) → (1/4x, 1/4y)

Here, the scale factor through which MNPQR has been dilated is 1/4.

Since, scale factor is between zero and 1/4, size of M'N'P'Q'R' will be reduced.

Therefore, the size of pentagon M'N'P'Q'R' will be 1/4 smaller than pentagon MNPQR.

Option (2) is the answer.

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The complete question is: Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule (x, y)→(1/4x, 1/4y) to create pentagon M'N'P'Q'R'.

Which statement is true?

a. Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is greater than 1.

b. Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is less than 1.

c. Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is less than 1.

d. Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is greater than 1.

The value of f(x) is a 4 at x = -4

and the value of f(4) = -2

let f(x) = y

since f(x) = 4, y = 4

we find the value of x when y is 4

We trace the x and y axis:

When y =4, x = -4

The value of f(4) means x would be replaced by 4

So we check on the graph for the value of f(4) or the value of y when x = 4

At x =4, y = -2

The value of f(x) is a 4 at x = -4

and the value of f(4) = -2

Answer:

q = 27

Step-by-step explanation:

Answer: 27

Step-by-step explanation: 16+11=27

Answer:

log(ab)=loga+logb

•log26.35=log26+log35

B.log26+log35

By definition of proportion, the value of x is,

⇒ x = 80

We have to given that;

In a triangle,

Perpendicular = 60

Now, By Pythagoras theorem we get;

60² = 36² + y²

3600 = 1296 + y²

y² = 3600 - 1296

y² = 2304

y = 48

Hence, By definition of proportion;

⇒ x / 48 = 60 / 36

⇒ x = 80

Thus, By definition of proportion, the value of x is,

⇒ x = 80

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The coordinates of the points after  (x - 2, y - 1) and dilating by 3 is

(- 3, 6).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, Maddie plots point A (1, 3).

She then translates it using the rule (x - 2, y - 1) which now becomes

(1 - 2, 3 - 1)

= (-1, 2) and dilates the image centered at the origin with a scale factor of 3.

∴ The new coordinates are (-1×3, 2×3) = (- 3, 6).

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Answer:

The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

Step-by-step explanation:

What is probability?

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

To find which 2 books describe a pair of dependent events:

A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.

Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.

Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.

Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.

Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

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Answer:

Step-by-step explanation:

Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

Given:

Consider the below figure attached with this question.

To find:

The function that has the domain \(x\geq -11\).

Solution:

We know that, a radical function is defined for only non negative radicand.

In option A, the function is defined if

\(x+11\geq 0\)

\(x\geq -11\)

The domain of this function is \(x\geq -11\). So, option A is correct.

In option B, the function is defined if

\(x-11\geq 0\)

\(x\geq 11\)

The domain of this function is \(x\geq 11\). So, option B is incorrect.

In option C and D, the function is defined if

\(x+5\geq 0\)

\(x\geq -5\)

The domains of these function are \(x\geq -5\). So, options C and D are incorrect.

Hence, option A is correct.

Answer:

A

Step-by-step explanation:

=>3x+5+x-25=180

=>3x-20+x=180

=>4x-20=180

=>4x=200

=>x=50°

=>(3x+5)°=(3×50+5)°=155°

=>(x-25)°=(50-25)°=25°

The sum of the scores is equal to 160.

In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the mean for this set of scores can be calculated by using the following formula:

Mean = [F(x)]/n

For the total number of scores (data set), we have;

∑x = 20 + 60 + 30 + 50

∑x = 160.

Mean = [F(x)]/n = 160/4 = 40.

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No, the relationship on the table is not proportional

From the question, we have the following parameters that can be used in our computation:

x   y

____ ____

6 -2

7 -1

8 0

9  1

On the table of values, we can see that:

Using the above as a guide, we have the following:

The relationship is not a proportional relationship

This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)

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Answer:

Step-by-step explanation:

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To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:

7x + 21 = 7x + 35

Subtracting 7x from both sides, we get:

21 = 35

This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.

However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.

Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:

7(5 - 3) = 14

Therefore, the missing number is 14, which corresponds to answer option B.

Answer:

X^7

Step-by-step explanation:

3+4=7

Answer:

The answer is No

Step-by-step explanation:

Answer:

no because it has two of the same x values