Choose the system of inequalities that best matches the graph below.
y
5
4
3
KE
-6-5-4-3-2-1 01 23 4 5 6
-1
IN
03
3
S
X

Answer:

i think it might be number 1

Step-by-step explanation:

Answer:

Hope this helps.

Answer:

The answer is option D.

Hope this helps.

Answer: B

Step-by-step explanation:

Applying limits, it is found that the end behavior of the graph is:

B. As \(x \rightarrow \infty, h(x) \rightarrow -\infty\), and as \(x \rightarrow -\infty, h(x) \rightarrow \infty\).

The function is:

\(h(x) = -2x^5 + 8x^4 - 2x^2 + 15\)

To find the end behavior, we apply the limits as x goes to infinity, in which just the term with the highest exponent is considered, hence:

\(\lim_{x \rightarrow -\infty} h(x) = \lim_{x \rightarrow -\infty} -2x^{5} = -2(-\infty)^5 = -2(-\infty) = \infty\)

Then, as \(x \rightarrow -\infty, h(x) \rightarrow \infty\)

\(\lim_{x \rightarrow \infty} h(x) = \lim_{x \rightarrow \infty} -2x^{5} = -2(\infty)^5 = -2(\infty) = -\infty\)

Then, as \(x \rightarrow \infty, h(x) \rightarrow -\infty\)

Hence, option B is correct.

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Brenda deposited $225 into an account that earns 7. 25% compound interest. After four years, Brenda will have $280.12 in her account.

Brenda deposited $225 into an account that earns compound interest at a rate of 7.25%. Compound interest means that the interest is added to the initial amount and then earns interest itself over time.

To calculate the final amount after four years, we can use the formula for compound interest:

Final Amount = Initial Amount * (1 + Interest Rate)^Number of Periods

In this case, the initial amount is $225, the interest rate is 7.25% (or 0.0725 as a decimal), and the number of periods is four years. Plugging in these values into the formula, we get:

Final Amount = $225 * (1 + 0.0725)^4 = $280.12

Therefore, after four years, Brenda will have $280.12 in her account.

Brenda's account will have $280.12 after four years of earning compound interest at a rate of 7.25%.

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Answer: 12. 5/20

13. 12/16

14. 35/15

15. 20/36

18.45/24

Step-by-step explanation: 12. 4x5=20 so 1x5=5 so its 5/20

13. 3x4=12 so 4x4=16 so its 12/16

14.  7x5= 35 so 3x5=15 so its 35/15

15. 9x4=36 so 5x4=20 so its 20/36

18. 15x3=45 so 8x3=24 so its 45/24

plz mark me brainliest

The possible zeros of the polynomial are 1, 3/5 and - 4.

The zeros of the function is calculated as follows;

The zeros of the function are the values of x that will make the function equal to zero.

let x = 1

g(x) = 5x³ + 12x² - 29x + 12

g(1) = 5(1)³ + 12(1)² - 29(1) + 12

g(1) = 5 + 12 - 29 + 12

g(1) = 0

So, x - 1 is a factor of the polynomial, and other zeros of the polynomial is calculated as;

                       5x² + 17x  - 12

                    ----------------------------------

         x - 1    √ 5x³ + 12x² - 29x + 12

                  - (5x³ - 5x²)

                    ------------------------------------

                              17x² - 29x + 12

                            - (17x² - 17x)

                       -------------------------------------

                                       -12x + 12

                                    - (-12x + 12)

                               -------------------------

                                              0

  5x² + 17x  - 12 , so will factorize this quotient as follows;

= 5x² + 20x - 3x - 12

= 5x(x + 4) - 3(x + 4)

= (5x - 3)(x + 4)

5x - 3 = 0

or

x + 4 = 0

x = 3/5 or -4

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answer: you're missing the problem

The cars must have had the same Average Speed

Average speed is the mean value of the speed of a body over a period of time. The formula for average speed is needed since the speed of a moving body is not constant and varies across a period of time. Even with varying speed, the values of total time and the total distance covered can be used, and with the help of the formula for average speed, we can find a single value to represent the entire motion.

The average speed of a body is equal to the total distance covered, divided by the total time taken. The formula for average speed is given as:

\(\frac{Total distance covered by the object}{Total time taken}\)

Given :-  

Substituting the given values in the formula for A and B respectively we get

Average Speed of A = \(\frac{30}{5}\) m/s = 6 m/s

Average Speed of B = \(\frac{42}{7}\) m/s = 6m/s

Thus the cars must have had the same Average Speed.

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Answer:

4.356 × 10⁶ square feet or 4.356 × 10⁶ ft² of pizza per year

Step-by-step explanation:

Scientific notation is a means, method or way that is used in mathematics to write very large or small real numbers in a very short form or compressed form.

Scientific notation uses exponents or 10 raised to the power of a particular number to write huge or small real number in a decimal form.

In the question, we are asked to express the area in square feet as a scientific notation.

The area = 4,356,000 square feet of pizza per year

4,356,000 square feet of pizza per year in scientific notation =

4.356 × 10⁶ square feet of pizza per year.

Answer:

Approximately 38 cube inches of wax.

Step-by-step explanation:

The candle can be assumed to have the shape of a cylinder, so that;

volume of a cylinder = \(\pi\)\(r^{2}\)h

where: r is the radius and h the height of the cylinder.

Thus,

volume of each candle =  \(\pi\)\(r^{2}\)h

But radius is 1 inch and height is 4 inches, then;

volume of each candle = \(\frac{22}{7}\) x \(1^{2}\) x 4

                                      = \(\frac{22}{7}\) x 1 x 4

                                      = 12.5714

volume of each candle = 12.6 cube inches.

Therefore, for the three candles;

volume of the three candles = 3 x 12.5714

                                                = 37.7142

volume of the three candles = 37.7142 cube inches

The amount of wax required for the three candles is approximately 38 cube inches.

Answer:

uhhh i forgot but its one of the bopttom 2

Step-by-step explanation:

Answer:

x>12-(2y)/(3)

y>18-(3x)/(2)

Step-by-step explanation:

Answer:

The solution is:

x = 5

y = 11

Step-by-step explanation:

15x+10y>180

Since I know 15 + 10 = 25, I subtracted 25 from 180.

180 - 25 = 155

Therefore, we know that x and y multiplied by 15 and 10 must equal anything more than 180. Therefore, there are a variety of solutions. However, this is the one that I chose.

15(5)+10(11)>180

75+110>180

185>180 <----- This is a true statement.

Hope this helps! :D

Answer:

4

Step-by-step explanation:

the line intercept is where the line passes through the Y axis.

Answer:

4

Step-by-step explanation:

the y-intercept is where the line passes the y-axis

The numerical length of AC is 25.

A line segment is a line with two end points.

According to the given question

Line segment is AC and it's length is 5x units.

B is a point on this line segment which divides this AC line segment into two parts AB and BC .

AB = 2x + 10 and BC = x

∴ AB + BC = AC

(2x +10) + (x) = 5x

3x + 10 = 5x

2x = 10

 x = 5 units.

Now plugging this value of x in the length equation of AC we can find it's length.

AC = 5x

AC = 5(5)

AC = 25.

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The factor x + 1 is a factor of the trinomial expression 5x^2 + 20x + 15

The expression is given as:

5x^2 + 20x + 15

Factor out 5 from the expression

5(x^2 + 4x + 3)

Expand

5(x^2 + x + 3x + 3)

Factorize the expression

5(x(x + 1) + 3(x + 1))

Factor out x + 1

5(x + 3)(x + 1)

The factors of the above expressions are 5, x + 3 and x + 1

Hence, x + 1 is a factor of the trinomial expression 5x^2 + 20x + 15

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Answer:

i don't see questions but I'll go download the app on your picture:))

4.79 × 10^-6

0.0000000734

Hope this helps! :)

The indefinite integral of (a+3)(x+4) dx is (1/2)((a+3)x^2 + (4a+12)x) + C, where C is the constant of integration.

To compute the indefinite integral of (a+3)(x+4) dx, we can use the distributive property of multiplication and the power rule of integration.

Expanding the expression, we have:

∫ (a+3)(x+4) dx

Using the distributive property, we can split the integral into two parts:

∫ (a)(x+4) dx + ∫ (3)(x+4) dx

Simplifying, we have:

a ∫ (x+4) dx + 3 ∫ (x+4) dx

Applying the power rule of integration, we have:

a * (1/2)(x^2 + 4x) + 3 * (1/2)(x^2 + 4x) + C

Combining like terms, we get:

(1/2)(ax^2 + 4ax + 3x^2 + 12x) + C

Rearranging the terms, we have:

(1/2)(ax^2 + 3x^2 + 4ax + 12x) + C

Finally, simplifying further, we get:

(1/2)((a+3)x^2 + (4a+12)x) + C

Therefore, the indefinite integral of (a+3)(x+4) dx is (1/2)((a+3)x^2 + (4a+12)x) + C, where C is the constant of integration.

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Answer:

514.38 units²

Step-by-step explanation:

Thus, the area of the rectangular face of the phone is found to be:

Area = 200 sq. in.

Due to the diversity of shapes seen in geometry, geometry is also referred to as the study of shapes.

Dimensions of the face of rectangular face of phone:

Length = 20 inches

width =  10 inches

Area = length x width

Area = 20 x 10

Area = 200 sq. in.

Thus, the area of the rectangular face of the phone is found to be:

Area = 200 sq. in.

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Complete question:

The top face of a phone is a rectangle measuring 20 inches by 10 inches. find the area of the face of the phone.

Answer:

5 12 13 equals a right triangle

Answer:

5 12 13

Step-by-step explanation:

The sampling method used is systematic sampling.

This is because each 49th student is chosen from the population of 496 students.

In systematic sampling, a starting point is selected randomly, and then each nth item in the populace is selected.

In this case, the start line might also have been randomly chosen, however we do not have information approximately that.

However, when you consider that every 49th pupil is selected, this is a clear indication that methodical sampling has been employed.

This sampling technique is often used in conditions in which the population is huge and it isn't viable to select each single item from the population.

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Answer:

No he is not correct.

He said the end of the monthly amount was 250% of his original amount which is true. Then the correct option is A.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Andy has been saving his pocket money. He began the month with $44 and ended with $110.

Then the percentage is given as,

P = [(110 / 44] x 100

P = 2.5 x 100

P = 250%

He said the end of the monthly amount was 250% of his original amount which is true. Then the correct option is A.

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Answer:

A postulate is a statement that is assumed to be true based on basic geometric principles. A theorem is a mathematical statement that can and must be proven to be true.

Step-by-step explanation:

www.ck12.org

Answer:

A thorem is true and can be proven true vs a postulate is guessed true without any evidence.

Step-by-step explanation:

A theorem is a group of statements that are used to prove something else, whereas a postulate is a statement that is not proved but is true through reasoning.

The probability that xy = 36 is 3/100.

Since x and y are discrete uniform random variables over {1,2,3,4,5,6,7,8,9,10}, we have:

P(x = i) = 1/10 for i = 1,2,...,10

P(y = j) = 1/10 for j = 1,2,...,10

We need to find P(xy = 36), which means that xy = 36. Since x and y can only take on integer values between 1 and 10, the only possible pairs of (x,y) that satisfy xy = 36 are (6,6) and (9,4) (or (4,9)).

Therefore:

P(xy = 36) = P((x=6) and (y=6)) + P((x=9) and (y=4)) + P((x=4) and (y=9))

= P(x=6) * P(y=6) + P(x=9) * P(y=4) + P(x=4) * P(y=9)

= (1/10)(1/10) + (1/10)(1/10) + (1/10)*(1/10)

= 3/100

So the probability that xy = 36 is 3/100.

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Answer:

x = -5/21

Step-by-step explanation:

Step 1: Write equation

2(12x - 1) = (21x - 49)/7

Step 2: Solve for x

Answer:

I think ( b) is non proportional linear

Through the first six stages, approximately 5464 calls are made in total.

In this scenario, the CEO initially calls four people.

Each of these four people then calls four others, and this process continues for six stages.

To find the total number of calls made through the first six stages, we can observe that each stage doubles the number of calls made in the previous stage.

Let's break it down:

Stage 1: The CEO calls 4 people.
Stage 2: Each of the 4 people calls 4 others, resulting in 4 x 4 = 16 calls.
Stage 3: Each of the 16 people from Stage 2 calls 4 others, resulting in 16 x 4 = 64 calls.
Stage 4: Each of the 64 people from Stage 3 calls 4 others, resulting in 64 x 4 = 256 calls.
Stage 5: Each of the 256 people from Stage 4 calls 4 others, resulting in 256 x 4 = 1024 calls.
Stage 6: Each of the 1024 people from Stage 5 calls 4 others, resulting in 1024 x 4 = 4096 calls.

To find the total number of calls made through the first six stages, we sum up the calls made in each stage:

4 + 16 + 64 + 256 + 1024 + 4096 = 5464 calls.

So, through the first six stages, approximately 5464 calls are made in total.

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