For the given expression, find the quotient and the remainder.
5x^4-2x^3+4x+6 divided by 5x^2+8x+4

Answer:

there was no question, but if your asking how much there shrinking by the top one comes first and the 2nd shrinks down to twice the size.

Step-by-step explanation:

x = 3, y² = -5x -12, x² + y² =81. are all not functions. the others are functions.

Step-by-step explanation:

I just did it

A function assigns the values. The correct options are C and E.

A function assigns the value of each element of one set to the other specific element of another set.

An equation is said to be a function if for each different value of x(input) it should give a different output. Therefore, for different inputs of x, the value of the output y should be different and unique. Also, the values if the equation produces the same output for two values of x it also said to be a function.

A.)

x = 3, since for every value of x the value is 3, which is not possible. Hence, this is not a function.

B.)

x² + y² = 81

For the given equation if the value of x is given as 0, the value of y will be,

x² + y² = 81

0² + y² = 81

y² = 81

y = ±√81

y = -9, 9

Hence, this can not be a function.

C.) y = -x + 11

For the given equation if the value of x is kept anything the value of y will be different. Thus, this is a function.

D.)

y² = -5x - 12

For the given equation if the value of x is given as less than -2.4, there will be two values of y. Thus, the given equation is not a function.

E.)

y = 2x² - 6x + 4

The given function will return will the same value of y for 2 different values of x. Hence, this is a function.

F.)

y = -7

Since the given equation can only have the value of y as 7. Therefore, it is not a function.

Hence, the equations that are a function are y = -x + 11 and  y = 2x² - 6x + 4.

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Answer:

r(0) = -7

r(2) = -5

r(5) = -12

Step-by-step explanation:

Driving a personal car would be the most cost-effective mode of transportation for this commute, with a total daily cost of approximately $4.60 ($3.60 for gas + $1 for travel time).

Based on the given information, the most cost-effective mode of transportation for this commute would be to drive a personal car. Taking public transportation or carpooling may be more environmentally friendly options, but they may not save as much money as driving alone.

Assuming an average speed of 60 miles per hour on the highway, the commute would take approximately 20 minutes each way, or 40 minutes round-trip. This means the total cost of travel time for each workday would be $40 ($60/hour x 2/3 hour).

Using a cost calculator such as GasBuddy, we can estimate that the cost of driving 20 miles per day (round-trip) would be around $3.60 per day, assuming an average fuel efficiency of 25 miles per gallon and a gasoline price of $2.50 per gallon.

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During evaluation, Raya was wrong in step 2. She got the cube of -3 wrong. The correct value is -27 and not -9.

Given the expression, a³ - b³ / 5, where:

a = 2

b = -3

Substitute the values into the expression

Step 1: (2)³ - (-3)³ / 5

Evaluate

Step 2: 8 - (-27) / 5 (this is where Raya made a mistake, she had -9 instead of -27)

Step 3: 8 + 27/5

Step 4: 35/5 [addition]

Simplify

Step 5: 35/5 = 5 [division]

Thus, we can state that Raya was wrong in step 2. She got the cube of -3 wrong. The correct value is -27 and not -9.

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Answer:

6/16n is your answer I think

Answer: Incorrect

Step-by-step explanation:

Your friend Frans' claim is incorrect. A row of zeros in the reduced matrix means that the corresponding equation in the system is redundant and does not provide any additional information. This does not necessarily mean that the system does not have a unique solution. In fact, a row of zeros in the reduced matrix is common when solving systems of linear equations using Gaussian elimination, and it can still lead to a unique solution or even an infinite number of solutions. Therefore, Frans' claim is wrong.

There are approximately 278.44 sand grains per square meter on the surface of the sphere.

To calculate the number of sand grains per square meter on the surface of the sphere, we need to determine the total surface area of the sphere and then divide the number of sand grains by this area.

The surface area of a sphere is given by the formula:

A = 4πr²

where A is the surface area and r is the radius of the sphere.

In this case, the radius of the sphere is 2.00 meters, so we can substitute this value into the formula:

A = 4π(2.00)²

= 4π(4.00)

= 16π

Now, we need to convert the number of sand grains to the number of sand grains per square meter. Since the grains are uniformly spread over the surface of the sphere, we can assume they are evenly distributed.

The number of sand grains per square meter can be calculated by dividing the total number of sand grains by the surface area of the sphere:

Number of sand grains per square meter = 14000 / (16π)

To get the final answer, we can approximate the value of π to 3.14 and perform the calculation:

Number of sand grains per square meter ≈ 14000 / (16 × 3.14)

≈ 14000 / 50.24

≈ 278.44

Therefore, there are approximately 278.44 sand grains per square meter on the surface of the sphere.

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Answer:

( x + 4 ) ( x − 4 ) ( x + 2 )

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

The point on the number line that is three-fifths of the way from point −9 to point 17 is 6.6.

To find the point that is three-fifths of the way from point −9 to point 17, we need to first determine the distance between these two points. The distance between two points on a number line is simply the absolute value of the difference between the two points. In this case, the distance between point −9 and point 17 can be found as follows:

Distance = |17 − (−9)| = |17 + 9| = |26| = 26

Now that we know the distance between the two points, we can determine the distance from point −9 to the desired point by multiplying the distance between the two points by three-fifths:

Distance from −9 to desired point = (3/5) × 26 = 15.6

To find the actual point, we need to start at point −9 and move 15.6 units to the right. Therefore, the point that is three-fifths of the way from point −9 to point 17 is:

Point = −9 + 15.6 = 6.6

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Answer  5:8

Step-by-step explanation:

Answer:

\(x = \frac{3}{2} \\ 11x - 9x = 7 - 4 \\ 2x = 3\)

If f does not attain a maximum value on [a,b], then the function does not attain a maximum value. The option "f does not attain a minimum value on [a,b]" must be true.

A maximum value is the highest value of a function, that is, the largest y-value of a graph. For example, f(x) = x² has a maximum value of infinity because the parabola opens upwards, and its value keeps increasing infinitely. Therefore, the highest value it attains is infinite.

If f does not attain a maximum value, then there is no highest value, meaning that the value of the function increases indefinitely. In that case, there must not exist a minimum value, since the function keeps rising indefinitely without any upper bound. Hence, f does not attain a minimum value on [a,b].

Option C must be true, which is: O f does not attain a minimum value on [a,b].

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The statement " A(n) method is like a blueprint, or template, for all the objects within a class" is true because methods define the behavior or operations that an object can perform and are defined within a class, acting as a blueprint or template for creating objects in object-oriented programming.

A method in object-oriented programming is a set of instructions that defines the behavior or operations that an object can perform. It is a part of a class, which acts as a blueprint or template for creating objects. When an object is created from a class, it can access and use the methods defined within that class.

Methods can be used to perform tasks, manipulate data, or interact with other objects. They are an essential aspect of encapsulation in object-oriented programming, as they allow for data to be accessed and manipulated in a controlled manner. Overall, methods are a crucial tool for developers to create robust and scalable applications.

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Answer:

y=2x+1

Step-by-step explanation:

Answer:

The real zeros of the quadratic function f(x) = -4x^2 - 6x + 1 are approximately -0.15 and -1.35.

Step-by-step explanation:

To find the real zeros of the quadratic function f(x) = -4x^2 - 6x + 1, we need to find the values of x that make f(x) equal to zero. We can do this by using the quadratic formula:

x = [-b ± sqrt(b^2 - 4ac)] / 2a

where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c.

In this case, a = -4, b = -6, and c = 1. Substituting these values into the quadratic formula, we get:

x = [-(-6) ± sqrt((-6)^2 - 4(-4)(1))] / 2(-4)

x = [6 ± sqrt(52)] / (-8)

x = [6 ± 2sqrt(13)] / (-8)

These are the two solutions for the quadratic equation, which we can simplify as follows:

x = (3 ± sqrt(13)) / (-4)

Therefore, the real zeros of the quadratic function f(x) = -4x^2 - 6x + 1 are approximately -0.15 and -1.35.

46.78

Step-by-step explanation:

you divide 16 by the cos of 70 and it turns out to be 46.78

Answer:

The factored form is (3+ x^2)(5 + 2x)

Step-by-step explanation:

I.I rewrited it as 15 + 5x^2 + 6x + 2x^2

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

             = \((3 + x^{2})(5 + 2x^{})\)

II. Prove by

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

             = 15 + 6x + 5x^2 + 2x^3

That makes  = 2x^3 + 5x^2 + 6x + 15

Ask me for anything.

Answer:

5

Step-by-step explanation:

it is half of ten which is 5

Hope this helps

Answer:

top one is correct I think

Answer:

Use the sum of angle measures rule.

Step-by-step explanation:

If you are given two angles and one missing angle, it's good to remember that all angles add up to 180°.

You can add the the given angles measurements, and subtract them by 180. You should then get the missing angle measure.

Brainilest Is Appreciated.

Answer:

3240

Step-by-step explanation:

25% of 1620 is 405

Initial chocolate number is multiple 405 by 4 then add into 1620

405 *4 =1620

1620+1620 =3240

The number of chocolates that Tarquin had initially is 3240 and the calculation is below,

Tarquin ate 25% of his chocolate each day, so after 4 days, he had eaten 25% * 4 days = 100% of his chocolate.

Since he had 1620 chocolates left, this means that he initially had 1620 * 100% = 3240 chocolates.

Therefore, the answer is 3240.

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Answer:

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

The experimental probability is the ratio of actual outcomes and total outcomes:

Answer:

25 mins

Step-by-step explanation:

add both then divide by 2

Answer:

$ 360

Step-by-step explanation:

Puppy is on sale for = $ 324

It is marked down by 10% from original selling price of $ 360

Markup from the original buying cost = $ 54

Original Cost was = 360 - 54 = $ 306

$ 360 was the original price which was marked down by 10%  i.e. $ 36 to the sale price of $ 324

To obtain an amount of 3 / 2 cups of flour, then we need three halves of cup by means of a 1 / 2 cup measuring cup.

In this problem we have the case of recipe that requires 3 / 2 cups of flour in terms of certain number of measuring cups with an amount of 1 / 2 cups. The number of measuring cups (n) is equal to the total required by the recipe (M) divided by the amount of the measuring cup (m), both in cups. That is:

n = M / m

If we know that m = 1 / 2 cup and M = 3 / 2 cup, then the number of measuring cups is:

n = (3 / 2 cup) / (1 / 2 cup)

n = 3

In other words, we need 3 halves of a cup of flour to obtain the required amount of 3 / 2 cups.

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Answer:

The answer is the last one - X= 9.9 Y= 7

Answer:

a 97- (55+80) +250

b Melanie has $212 left in her bank account.

Step-by-step explanation:

55 + 80 = 135

97 - 135 = -38

-38 +250 = 212