Which of the followingrepresents this inequality?|4x – 61 > 10

To calculate the distance between two points on the coordinate system you have to use the following formula:

Where

d represents the distance between both points.

(x₁,y₁) are the coordinates of one of the points.

(x₂,y₂) are the coordinates of the second point.

To determine the length of CD, the first step is to determine the coordinates of both endpoints from the graph

C(2,-1)

D(-1,-2)

Replace the coordinates on the formula using C(2,-1) as (x₁,y₁) and D(-1,-2) as (x₂,y₂)

The length of CD is √10 units ≈ 3.16 units

Given:-

To find the graphical representation.

So the graph of y=2x-8 is,

Also the graph of y=-x+4 is,

Combining we get the graph

So the point is (4,0).

Solution:

The Function transformation of f(x) is:

If c > 0, then the graph shift left f(x+c).

If c<0, then the graph shift right f(x-c)

If d > 0, then the graph shift up f(x) +d

If d < 0, then the graph shift down f(x) -d

When the given equation is:

The transformation equation is given:

Then, the graph shifts down 2 units and shifts left 5 units.

Also, the vertical stretch with a scale factor 3.

Therefore, the correct options are B and D.

Explanation:

The set of values are given below as

Mode:

This the data that occurs highest or the dat that has the highest frequency

Range:

The is the difference between the lowest val and the highest value

Hence,

The final answers are

Hence,

The final answer is

The surface area of a sphere is given by

in our case r=10 units ( the radius). By substituting this value into the last formula, we have

which gives

On the other hand, the surface area of a cube is given by

where L is the length of one side, that is, L=10. Then, we have

By comparing both results, we can see that the surface area of our sphere is larger than the surface area of the given cube. So the answer is TRUE.

The answer is NO, Marco is wrong.

The number 7.696696669.... has not a repeating decimal there is no a number that is repeating, like 0.6969696969... in the last number the 69 is repeating, in the Marco's number the decimal number change every time.

We are going to test all options to see which is true and false.

The one that is true will be the point that is part of the solution.

We will move to the next option and test:

The science club had more sixth graders.

The math club has 18 members and 50% are sixth graders. The number of sixth graders will be:

= Percentage × Number of members

= 50% × 18

= 0.5 × 18

= 9

The science club has 25 members and 40% are sixth graders. The number of sixth graders will be:

= Percentage × Number of members

= 40% × 25

= 0.4 × 25

= 10

Since 10 is more than 5, the science class has higher number.

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Length of y is 25.2.

Given:

The angle is given as 35 degree and a side is 36.

The objective is to find the length of the side y.

In a right angled traingle, the side opposite to the given angle is called oppotise side, the other smaller side is called adjacent side and the longer side is called hypotenuse.

Here, opposite side is y and adjacent side is 36.

Then, the relationship between oppsote and adjacent can be calculated using the trigonometric ratio of tan theta.

Hence, the length of y is 25.2.

Recall that given points (a,b) and (c,d) the distance between them would be

In our case we are given a=0,b=0,c=2,d=3. So the distance would be

so the distance between them is the square root of 13.

Length of the entire rectangle = 12 + 5 = 17

Width of the entire rectangle = 6+4 = 10

Part a

Area of rectangle = Length x width

Area of the entire rectangle = 17 x 10 = 170 square units

Part b

Perimeter of rectangle = 2( length + width )

Perimeter of the entire rectangle = 2(17 + 10 )

=2 (27) = 54

Perimeter of the entire rectangle = 54 units

Length of the entire rectangle = 12 + 5 = 17

Width of the entire rectangle = 6+4 = 10

Part a

Area of rectangle = Length x width

Area of the entire rectangle = 17 x 10 = 170 square units

Part b

Perimeter of rectangle = 2( length + width )

Perimeter of the entire rectangle = 2(17 + 10 )

=2 (27) = 54

Perimeter of the entire rectangle = 54 units

The hours when the prices of the two stocks be the same is 2.38 hours.

From the information, the price of Stock A at 9 A.M. was $12.42 and the price has been increasing at the rate of $0.12 each hour. This will be the expressed as 12.42 + 0.12h.

At noon the price of Stock B was $12.92. It begins to decrease at the rate of $0.09 each hour. This will be:

= 12.92 - 0.09h

where h = number of hours

Equate both equations. This will be:

12.42 + 0.12h = 12.92 - 0.09h

Collect like terms

12.92 - 12.42 = 0.12h + 0.09h

0.21h = 0.50

h = 0.50 / 0.21

h = 2.38 hours.

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It is given that the function is:

Therefore y=0 then the value of x will be:

Now at x=0, y will be:

at x=1, y will be:

These 3 points that is (-inf,0),(0,3/4),(1,3) are on graph D.

Hence option D is coreect.

The systems of equations which correctly models the situation as described is;

It follows from the task content that the system of equations which models the production process of caffe mocha be determined.

As given in the task content;

Hence, since For each ounce of chocolate syrup, she uses 5 ounces of coffee, the situation can be represented algebraically as;

Also, since she wants to make 48 ounces of caffe mocha; we have;

Therefore, the required system of equations is;

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None of Ari's answer to the question is correct. The right application of the laws of exponents to get the correct answer is explained below.

Some of the laws of exponents can be summarized as follows.

Based on the above laws of exponents, none of Ari's answer is correct. Below are the correct way to solve the questions:

1. [tex]4^2 \times 4^5 = 4^{2 + 5} = 4^7[/tex]

2. [tex](2^{-5})^3 = 2^{-3 \times 5} = 2^{-15} = \frac{1}{2^{15}}[/tex]

3. [tex]\frac{(\frac{1}{4})^4 \times (\frac{1}{4})^5 }{(\frac{1}{4})^3} = \frac{(\frac{1}{4})^{4 + 5} }{(\frac{1}{4})^3} = \frac{(\frac{1}{4})^9 }{(\frac{1}{4})^3} = (\frac{1}{4})^{9 - 3}} = (\frac{1}{4})^6[/tex]

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Answer

(x - 2)² + (y - 2)² = 8

Step-by-step explanation

The equation of the circle centered at (h, k) with radius r is:

In this case, the center of the circle is the point (2, 2), then h = 2 and k = 2, that is,

Given that the circle passes through the center, then the point (0, 0) satisfies the above equation. Substituting x = 0 and y = 0 into the equation and solving for r²:

Substituting r² = 8 into the equations, we get:

Solution

In interval notation, we have

The answer is

Given the sentence;

Subtracting 3 from both sides;

Given the absolute value of x to be greater than zero, the range of value of x is;

Therefore, the correct graph of the solution is;

Solution

We have the following function given:

f(x) = -3x+5

And we need to do the following:

5= -3x+5

And if we subtract 5 in both sides we got:

0 =-3x

Dividing both sides by -3 we got:

And finally we got:

x= 0

Problem 17

17) f(-2)= 3

18) f(0)= 3

19) f(1)= 0

20) f(-1)= 5.2

Principal amount, P= $290.

Rate, r = 0.076

Time, t = 2

Therefore, the total amount in her account after 2 years is

Hence,

Therefore, the amount is 335.80 dollars.

That is, 335 dollars and 80 cents.

In order to determine the amount of brownies left in the refrigerator, subtract 8 from 12.

If Abby bakes 2 -dozen brownies, she baked 24 brownies. There are 12 pieces in 1 dozen, thus if she bakes two dozens, she baked 24 brownies ( 12 x 2).

The amount of brownies left after she takes one dozen to school = amount baked - amount taken for the meeting

24 - 12 = 12

Amount left in the refrigerator : amount left after she took a dozen for the meeting - amount eaten by her family

12 - 8 = 4

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Consider drawing a card at random from a standard deck of cards,

Part A: Determine the probability that the card is a spade, given that it is black,

Part B: Determine the probability that the card is red, given that it is a heart,

Part C: Determine the probability that the card is an ace, given that it is black.

Part D: Determine the probability that the card is a queen given that it is a face card,

we have 52 cards

A standard 52-card deck comprises 13 ranks in each of the four French suits: clubs (♣), diamonds (♦), hearts (♥) and spades (♠)

so

Part A: Determine the probability that the card is a spade, given that it is black,

If the card is black, that means the possible outcomes are 26 cards

so

P=13/26

Part B: Determine the probability that the card is red, given that it is a heart,

if the card is a heart, that means, the possible outcomes are 13

so

P=13/13

because all the cards that are heart are red

Part C: Determine the probability that the card is an ace, given that it is black.

if the card is black the possible outcomes are 26

therefore

P=2/26

Part D: Determine the probability that the card is a queen given that it is a face card

Given:

Sum of the angle of any triangle is 180

So:

Then two sides are also equal.

So the value of x is 6.

Answer: (x,y)= (-2/5,-43/5)

Step-by-step explanation:

For exponential functions, it is found that:

An exponential function is modeled according to the rule presented as follows:

[tex]y = ab^x + c[/tex]

In which the coefficients of the rule are given as follows:

To graph the function, along with the coefficients of the function, the end behavior of the function is needed, as follows:

They are compared by their rate of changes, if they are increasing/decreasing, and which one increases faster.

The transformations are as follows:

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Given the functions:

You need to multiply them, in order to find:

Then, you get:

In order to find the Domain, you need to remember that the Domain of a Radical Function are those input values (x-values) for which the Radicand is positive. Then, in this case, you need to set up that:

Now you have to solve for "x":

Therefore:

Hence, the answer is: