What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?

It will take 3.5 hours for the two cars to be 280 miles apart.

To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.

Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:

Relative velocity = Velocity of car traveling east + Velocity of car traveling west

Relative velocity = 60 mph + 20 mph

Relative velocity = 80 mph

The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.

To find the time it takes for them to be 280 miles apart, we can use the formula:

Time = Distance / Speed

Plugging in the values, we have:

Time = 280 miles / 80 mph

Time = 3.5 hours

Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.

During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.

The sum of these distances is indeed 280 miles, confirming the result.

For more questions on relative velocity.

https://brainly.com/question/11418015

#SPJ8

Answer:

the answer is B (graph a and c)

just did the test on edg 21

Step-by-step explanation:

i hope this helps!! have an amazing day <3

If a graph is reflected across y = x then it will be an inverse graph so graphs B and C will be inverse.

The inverse of a function is basically a reverse function or undo of the function.

For example y = f(x) then inverse will be x = f(y).

It means in the inverse function we need to interchange x and y.

Another example y = 3x² ⇒ x = √(y/3) will be the inverse.

An inverse function is a reflection of graph across y = x and due to that coordinate will interchange its that ;

( x ,y ) → ( y , x )

Since graph A is rotated about the x-axis to make graph B

Now,

Graph A is rotated( which is B ) and reflected across the axis y = x to form Graph C.

So B and C will be the inverse of each other.

Hence "If a graph is reflected across y = x then it will be an inverse graph so graphs B and C will be inverse".

For more information about the inverse of a function,

brainly.com/question/2541698

#SPJ2

The given question is incomplete complete question is ;

Which graphs are inverses of one another? Graph A and B Graph A and C Graph B and C none of the graphs shown On a coordinate plane, graph A is in quadrants 1, 2, and 3. Graph A is rotated across the x-axis to form graph B. Graph A is rotated and reflected across the axis y = x  to form Graph C.

Answer:

\(-20\frac{3}{4}\) < \(-15\frac{1}{2}\) < \(-14\frac{3}{4}\) < \(-\frac{1}{4}\)

Step-by-step explanation:

Just so you know, the larger a negative number is, the smaller the number's value is.

Answer:

1.58733 ounces

Step-by-step explanation:

45 grams = 1.58733 ounces

(grams to ounces calculator online)

The balance over the acceptable debt ratio is $1089.90.

A debt ratio calculates a company's leverage by comparing its total debt to its total assets.

Although this ratio varies greatly between industries, capital-intensive enterprises typically have significantly larger debt ratios than other types of businesses.

Divide total debt by total assets to find a company's debt ratio.

A debt ratio of less than 100% signifies a corporation has more assets than debt, and a debt ratio of larger than 1.0 or 100% means the opposite.

According to some sources, the debt ratio is calculated by dividing all obligations by all assets.

Given that, credit card balance = $3,589.90

credit limit = $5,000

Debt Ratio percentage = 50% = 0.50

The balance over is given as

balance = Current Balance - (Credit Limit × 0.50 )

balance = 3589.90 - (5000 × 0.5)

balance = 3589.9 - 2500

balance = 1089.9

Hence, the balance over the acceptable debt ratio is $1089.90.

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ1

Answer:

12

Step-by-step explanation:

The two unknown values of the triangle have to be the same.

Subtract 28 from 180 and you get 152

So each angle will be 76.

So now, 76 = -8 + 7x

Simplify and 84 = 7x

Now, x is equal to 12

Hope this helped! Please mark me as brainliest if you can!

5 "Always." Consecutive angles of a rectangle are always congruent.

6 "Never." A parallelogram is not always a square.

7 "Sometimes." In a rhombus, the diagonals are always perpendicular bisectors of each other, but they are not always congruent.

8 "Always." A rectangle has congruent sides, but not necessarily all four sides.

9 Given: ABCD is a parallelogram

To prove: AABC = ACDA

Proof:

AB || DC (definition of parallelogram)

AD || BC (definition of parallelogram)

∠ABC = ∠CDA (alternate interior angles)

AC = AC (reflexive property)

∠BCA = ∠DAC (alternate interior angles)

Therefore, AABC = ACDA (ASA congruence theorem)

10 Given: TRAP is an isosceles trapezoid

To prove: AAPR ARTA

TR = AP (definition of isosceles trapezoid)

∠APT = ∠ATR (alternate interior angles)

∠PAR = ∠RTA (alternate interior angles)

∠PAR = ∠APT (angles at a point)

Therefore, AAPR ARTA (AA congruence theorem)

Consecutive angles of a rectangle are always congruent. This is a property of rectangles that is true for every rectangle.

A square is a specific type of parallelogram that has all four sides congruent and all four angles right angles.

A rectangle has two pairs of opposite sides that are congruent, but the adjacent sides may have different lengths. This is a defining characteristic of rectangles, and it is always true for every rectangle.

The ASA congruence theorem states that two triangles are congruent if two angles and the included side of one triangle are congruent to the two angles and the included side of the other triangle. In this case, ∠ABC and ∠CDA are congruent by (3), AC is congruent by (4), and ∠BCA and ∠DAC are congruent by (5). Therefore, AABC = ACDA by the ASA congruence theorem.

The AA congruence theorem states that two triangles are congruent if two angles of one triangle are congruent to two angles of the other triangle, and the side between those angles is congruent in both triangles

Learn more about rectangle on

https://brainly.com/question/25292087

#SPJ1

The area of the triangle is equal to 1337 square feet. (Correct choice: A)

In this problem we must determine the area of the triangle given the lengths of all sides, this can be done by using Heron's formula:

A = √[s · (s - a) · (s - b) · (s - c)]

s = 0.5 · (a + b + c)

Where:

If we know that a = 47 ft, b = 59 ft and c = 65 ft, then the area of the triangle is:

s = 0.5 · (47 ft + 59 ft + 65 ft)

s = 85.5 ft

A = √[(85.5 ft) · (85.5 ft - 47 ft) · (85.5 ft - 59 ft) · (85.5 ft - 65 ft)]

A = 1337.252 ft²

To learn more on Heron's formula: https://brainly.com/question/20934807

#SPJ1

PRICES COUNTS COSTS

8 e 8e

10 420-e-t 10(420-e-t)

12 t 12t

420 3920

system%28e%2B420-e-t=5t%2C8e%2B10%28420-e-t%29%2B12t=3920%29

First equation gives highlight%28t=70%29.

Second equation simplifies to e-t=140.

Substitution gives highlight%28e=210%29.

Quantity of $10 tickets by difference, highlight%28140%29

Answer:

0.5 degrees is the answer you divided the quotion by 5 then get your answer (this isnt actually the answer lol)

Step-by-step explanation:

The position of  √17 between 4 and 5, which is nearer 5, and the location of 6, which is between 2 and 3, which is nearer 2.

A visual representation of real numbers in a linear manner is a number line. It is a straight line that is divided into intervals or segments, each of which stands for a distinct real number value.

Number lines can be vertical or horizontally oriented, and they can also have a positive or negative orientation. Positive numbers often extend to the right or up, whereas negative numbers typically extend to the left or down. The origin of the number line, or zero, is typically situated in the middle of the line.

The number line is a crucial tool in mathematics since it offers a means of representing numerical relationships visually and carrying out fundamental arithmetic operations. For instance, positive and negative motions along a number line can be used to depict addition and subtraction, respectively, with positive movements denoting addition and negative movements denoting subtraction. On a number line, multiplication and division can alternatively be shown as repeated addition or subtraction.

If we have a number line with the proper markings, we may indicate where the square roots of 17 and 6 are located as follows:

To begin, determine the approximate square root values:

√17 is between 4 and 5, since 4² = 16 and 5² = 25.

√6 is between 2 and 3, since 2² = 4 and 3² = 9.

Place the number √17 closer to 5, between 4 and 5.

Place the number √6 between the numbers 2 and 3, closer to 2.

Since 6 and 17 are not integers and their values are not evenly spaced, it should be noted that their markings will not be evenly spaced on the number line.

To know more about Number Line, visit:

https://brainly.com/question/24644930

#SPJ1

Number line attached below,

The length of the third side is 14.4 units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We find the third side of a triangle by using Pythagoras theorem.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

8²+12²=x²

64+144=x²

208=x²

Take square root on both sides

x=14.4

Hence, the length of the third side is 14.4 units.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

Answer (Please mark as brainliest):

STATEMENTS

∆ABD and ∆DCB; AB ≅ DC; AD ≅ BC

BD ≅ BD

∆ABD ≅ ∆DCB

REASONS

Given

Reflexive Property of Congruence

By SSS, since AB ≅ DC, AD ≅ BC, and BD ≅ BD.

Therefore, ∆ABD ≅ ∆DCB by SSS.

Answer:   x-intercept = 42/3 = 14

Step-by-step explanation:  y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

Notice that when x = 0 the value of y is 6/-1 so this line "cuts" the y axis at y=-6.00000

 y-intercept = 42/-7 = 6/-1  = -6.00000

When y = 0 the value of x is 14/1 Our line therefore "cuts" the x axis at x=14.00000

 x-intercept = 42/3  =  14

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -6.000 and for x=2.000, the value of y is -5.143. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.143 - (-6.000) = 0.857 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.857/2.000 =  0.429

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3x-7y-42  = 0 and calculate its properties

x-intercept = 42/3 = 14

If you have any specific questions or need assistance, feel free to ask, and I'll do my best to provide a helpful response within the scope of my training

As an AI language model my understanding of subjects and skills is based on the information and data available to me up until my last training update in September 2021. I can provide accurate and comprehensive responses within the limits of my training, but please keep in mind that I may not have knowledge of events or developments that have occurred after that cutoff date.

With a wide range of general knowledge, I can understand and generate responses on various topics such as science, history, literature, mathematics, and more. I can also assist with specific skills like writing, editing, brainstorming ideas, offering explanations, and providing recommendations.

However, it's important to note that while I strive to be helpful, I am still an AI and may not always provide perfect answers. I do not possess personal experiences or opinions, and I am not able to perform physical actions. My responses are generated based on patterns and examples from my training data.

for more search question specific

https://brainly.com/question/30066473

#SPJ8

.

Answer:

0.3432 units^2

Step-by-step explanation:

Variable A = area

A = length × width

A = 1.32 units × 0.26 units

A = 0.3432 units^2

Answer:

See below

Step-by-step explanation:

first car is x

second car is y

25x+30y=1550

x+y=55

Multiply the second equation by -25 for elimination method to cancel out x

-25x-25y=-1375

Add the two equations

5y=175

y=35

Plug this value into the second equation

x+35=55

x=20

Final answers:

First car=20 gallons

Second car=35 gallons

amount depsited = P = 8370

rate = 5 1/2 = 5.5%

rate = 0.055

n = compounded annually

time = 10 year

Using compound interest formula:

insert the values into the formual:

Answer:

40 ft

Step-by-step explanation:

Given that the angle of elevation is 64.6°, this means that the angle of depression from the top of the flagpole is 180 - 90 - 64.6, which is 25.4°

We can solve by using the sine rule, or the cosine rule.

Using the sine, we have

Sinθ = OPP/HYP, we're going to use the angle of depression, and thus

Sin 25.4° = 19/x, on rearranging, we have

x = 19/ sin 25.4°

x = 19/0.4289

x = 44.30 ft.

Now, we use Pythagoras theorem to get the height of the flagpole.

44.3² = 19² + y²

y² = 44.3² - 19²

y² = 1962.49 - 361

y² = 1601.49

y = √1601.49

y = 40 ft

Answer:

The blue area is 2a

Step-by-step explanation:

So, first, let's scope out the problem and split it up.

We have +10 on both sides, so we don't need to worry about that.

Now, 5a-3a+___=4a

So, if we do 5a-3a, we get 2a

So, 2a+___=4a

now, we can subtract 2a from b oth sides, and we are left with 2a

So, your answer is 2a!

Answer:

x = 12

Step-by-step explanation:

It is a 90° angle which means that both of the angles need to add up to 90. 90-20 =70. 6×12 = 72.

6×9= 72

72-2 = 70

It adds up.

Hope this helps.

Answer: A,B,E,F

Step-by-step explanation:

Answer:

The answer is A, B, E, F

Step-by-step explanation:

Answer:

Step-by-step explanation:

6+4.50d=51

-6             -6

4.5d=45

 /4.5   /4.5

d=10

22 divided my 2 is 11

Answer:

22 divided by 2 is 11

Step-by-step explanation:

Answer:

104 blue pens

Step-by-step explanation:

Number of blue pens

= (100%-14%-34%) × 200

= 52% × 200

= 104

SOLUTION:

Case: Limits

Method:

Right and left-sided limits.

The right sided limits is gotten from the right-hand side and gives an f(x) of 0 while the left sided limits gives an f(x) of 1.

Final answer: Option

Answer:

$30

Step-by-step explanation:

5 x 6 = 30

hope this helped :)

The decimal equivalent of the largest Absolute value, 987654321, is 987,654,321.  the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

The largest and smallest absolute values using the digits 1 to 9, we need to arrange them in a way that maximizes or minimizes the resulting number. Let's consider the boxes as placeholders for the digits.

To determine the largest absolute value:

We place the digit 9 in the leftmost box, as it is the largest digit among 1 to 9. Then we arrange the remaining digits, 8, 7, 6, 5, 4, 3, 2, and 1, from largest to smallest in the remaining boxes. This gives us the number 987654321, which is the largest possible number using the given digits. Therefore, the largest absolute value is 987654321.

To determine the smallest absolute value:

We place the digit 1 in the leftmost box, as it is the smallest digit among 1 to 9. Then we arrange the remaining digits, 2, 3, 4, 5, 6, 7, 8, and 9, from smallest to largest in the remaining boxes. This gives us the number 123456789, which is the smallest possible number using the given digits. Therefore, the smallest absolute value is 123456789.

To find the decimal equivalent of these numbers, we simply read the digits from left to right. The decimal equivalent of the largest absolute value, 987654321, is 987,654,321. The decimal equivalent of the smallest absolute value, 123456789, is 123,456,789.

Thus, the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

To know more about  Absolute value.

https://brainly.com/question/24368848

#SPJ8