If f (x) = 2x^3 - 5x +2, then what is the remainder when f (x) is divided by x - 4?

a. There are 4 terms in the expression

b. There are 3 factors in the first term.

c. The constant is 16.

8ab + 3b + 16 - 4a

A term is any signed number, a variable, or a constant  multiplied by a

variable or variables.

Therefore, the terms are 8ab,  3b,  16, and -4a. The terms are 4 in numbers.

The first term is 8ab .The first term has the factors 8 , a and b. This means the first term have 3 factors.

The term that is a constant is 16

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= (1/2 × 6 × 4) square units

= (3 × 4) square units

= 12 square units

The area of the triangle is 12 square units.

Hope it helps.

Do comment if you have any query.

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First, Identify what is the height and base of the triangle.

[tex] \rightarrow [/tex] Height = 4 units

[tex] \rightarrow [/tex] Base = 6 units

[tex] \\ [/tex]

Now to find the area of the triangle, use the formula:

[tex] \rightarrow [/tex] Area = [tex] \sf \frac{Height × Base }{2} [/tex]

Solve.

[tex] \rightarrow [/tex] = [tex] \sf \frac{4 × 6}{2} [/tex]

[tex] \rightarrow [/tex]= [tex] \sf \frac{24 }{2} [/tex]

[tex] \rightarrow [/tex] = 12

Therefore, the area of the triangle is 12 units.

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#CarryOnLearning

Answer:

Step-by-step explanation:

Attached each inequality separately and the solution showing the intersection below.

y > -1/3x + 2

x < 4

Step-by-step explanation:

[tex]\displaystyle \sf \red{I=\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ \alpha + \beta + \gamma + \theta - \eta}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]

[tex]\displaystyle \sf \red{I=\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ \alpha + \beta + \gamma - \theta + \eta}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]

[tex]\displaystyle \sf \red{I=\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ \alpha + \beta - \gamma + \theta + \eta}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]

[tex]\displaystyle \sf \red{I=\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ \alpha - \beta + \gamma + \theta + \eta}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]

[tex]\displaystyle \sf \red{I=\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ - \alpha + \beta + \gamma + \theta + \eta}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]

[tex]\displaystyle \sf \green{5I=\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ 3(\alpha + \beta + \gamma + \theta + \eta)}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]

[tex]\displaystyle \sf \pink{5I=3\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \: d \alpha d \beta d \gamma d \theta d \eta}

[/tex]

[tex]\large \sf \green{5I=3( {2)}^{5} }[/tex]

[tex]\large \sf \pink{I={ \frac{96}{5} }^{} }[/tex]

Answer:

I = 96/10 = 96:10 is your correct answer.

Answer:

159.1

Step-by-step explanation:

The expression would be 10.4+13+8+112+15.7, which equals 159.1 which is the total weight.

Answer:

450

Step-by-step explanation:

150* 3

hope this helps

Answer:

450

Step-by-step explanation:

150 feet in 1/3 min

? -----  1 min

150 * 1 = x * 1/3

x = 150 * 3

= 450

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Let's solve ~

Here, 6x is present on both the sides of equation so they cancel out ~ therefore there is no one solution satisfying the equation ~

Answer:

there are zero solutions

\_(-_-)_/

i asked g o o g l e thats what it said

Answer:

Step-by-step explanation:

If mike burns 392 calories when he walks 4 miles then we just need to divide

/ =

Mike burns 98 calories when he walks 1 mile.

"It is a method of finding the value of a single unit and based on that value, we can find the required value."

For given example,

Mike burns 392 calories when he walks 4 miles.

This means, 4 miles = 392 calories

By using unitary method we find the number of calories he burns when he walks 1 mile.

4 miles = 392 calories

So, 1 mile = 392/4 calories

1 mile = 98 calories

Therefore, Mike burns 98 calories when he walks 1 mile.

Learn more about the unitary method here:

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#SPJ2

B u A = 48

B = 45

The part of set B not included in A is B - A∩B  = 45 - 7 = 38

Since B u A = 48,  A must have 48-38 = 10 elements (3 exclusive of B, 7 shared with B).

------

Alternatively, the inclusion-exclusion principle may be used:   A  +  B  - (A ∩ B) = A u B  

  A + 45 - 7 = 48

  A  = 48 - 45 + 7  

   A = 10

NOTE that I'm using A and B  to indicate the number of elements in each set, respectively.

More formally, one would write |A|  and |B| to indicate the cardinality (number of elements) of the set.

Answer:

12 meters sq

Step-by-step explanation:

area= length x width

area= 3x4

area=12 meters sq

Answer:

Incorrect

Step-by-step explanation:

Average rate of change is

(65 - 67) / (5:00 - 1:00)  = -½°/hr

Using the binomial distribution, the expected value of the number of points Juan makes when he shoots two free-throw shots is 1.07.

For each shot, there are only two possible outcomes, either Juan makes it, or he misses it. The probability of making a shot is independent of any other shot, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability, and the expected value is:

[tex]E(X) = np[/tex]

In this problem:

Then:

[tex]E(X) = np = 2(0.535) = 1.07[/tex]

A similar problem is given at https://brainly.com/question/24261244

how many pounds does he feed his dogs for each meal?

1. 4

2. 6

3. 10

4. 30

5. 48

6. 55

7. 68

8. 148

9. 102

10. 38

Would appreciate brainly <3

Answer:

2

Step-by-step explanation:

because resetting the graph means it has to be a reflection

Answer: 27 students

Step-by-step explanation: 6 x 4 = 24

24 + 3 = 27

Answer:

27 Students in the class

Step-by-step explanation:

First we have to find out how many people are in the 6 groups of 4. 6x4=24

And of course 1 group of 3 people. Add them together to get 27 people.

24+3=27

Answer:

45 5+[5(4+2)]?

Step-by-step explanation:

i hope is helped:)

Answer:

5Y2y-5y

Step-by-step explanation:

5

Y

2

y

−

5

y

Answer:

0.04x = 19

x = 475

Step-by-step explanation:

19 + 0.12x = 0.16x

Take away 0.12x from both sides

19 = 0.04x

Divide 19 by 0.04 to find x

x = 475

Answer:

475

Step-by-step explanation:

First, you have to simplify the equation by moving all the like terms to one side of the equal sign.

This entails the taking of 0.12x to the right side of the equal sign.

Remember, when we take anything over the equal sign if it was a positive sign like in this case, it becomes a negative one and the opposite is true if the sign was negative.

So we have

19=0.16x - 0.12x

We then simplify further and get the equation

19=0.04x

To obtain the true value of x, we divide both sides of the equation by 0.04x as follows:

19/0.04=0.04x/0.04

We then find that

x= 475

Answer:

Expression: -7 + 8f - 2b - f + 3b + 6

# of Terms: 6

Like Terms: 8f and f, -2b and 3b, and -7 and 6

Coefficients: 8, 1, -2, and 3

Constants: -7 and 6

Expression: -11x + 4 + 8x - 4 + 3x

# of Terms: 5

Like Terms: -11x, 8x, and 3x & 4 and -4

Coefficients: -11, 8, and 3

Constants: 4 and -4

Step-by-step explanation:

The coefficient is the number in front of the variable.

The variable is any letter that you may see in an expression.

Terms are the numbers and variables, that are separated by the different signs.

Like terms are the terms that share the same variable/exponent.

Constants are the terms without variables.

Hope this helps you :)

Sorry if it's somehow wrong.

Answer:

75%

Step-by-step explanation:

now we can see that our fraction is 75/100 which means that 42/56 as a percentage is 75%

Answer:

angle m1 = 40°

Step-by-step explanation:

The first angel presented to the left is 40° if you take that and flip it its the same as M1 therefore its 40°.

Answer:

D

Step-by-step explaination:

Answer:

[tex]5x^2 - 4[/tex]

Step-by-step explanation:

For shifted down a function you have to follow the next structured:

[tex]f(x) - c[/tex]

In our case is:

[tex]x^2 - 4[/tex]

Now for compressed or shrink a graph you have to multiply by a factor in the input something like this:

[tex]f(cx)[/tex]

In our case is:

[tex]5x^2[/tex]

Maybe you can think, why 5 and not [tex]\frac{1}{5}[/tex] instead?. Well, when you multiply by [tex]\frac{1}{5}[/tex] this dilate or stretch the graft because the output of each value is smaller, example:

[tex]f(x) = x^2\\g(x) = \frac{1}{5} x^2[/tex]

Then evaluate for a number, for example 5:

[tex]f(5) = 25\\g(5) = 5[/tex]

the output of [tex]g(x)[/tex] is 5 steps a far from the answer of [tex]f(x)[/tex] this in a graph is illustrate as a stretching.

So the opposite happen when you multiply by a integer number, the graph is compressed because the output take the "faster steps".

So combine the two transformation and get [tex]5x^2 - 4[/tex]

5*-3=-15

x=-15

hope this helps

Answer:

x = -15

Step-by-step explanation:

[tex]\frac{x}{5}=-3~(Given)\\\\5(\frac{x}{5})=5(-3)~(Multiply~5~on~both~sides)\\\\x=-15~(Simplify)[/tex]

Answer:

Not a function

Step-by-step explanation:

[tex] \rightarrow [/tex] 12.5%

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To solve, use the formula:

[tex] \rightarrow \: \rm Percent \: of \: Increase = \frac{Amount \: of \: Increase}{Original \: Amount} \\ [/tex]

Solve.

[tex] \rightarrow \: \rm = \frac{16 - 12}{12} [/tex] Amount of increase: 16 - 12 = 2

[tex] \rightarrow \: \rm = \frac{2}{16} [/tex] Simplify.

[tex] \rightarrow \: \rm = \frac{x}{100} = \frac{1}{8}[/tex] Write the fraction as a percent.

[tex] \rightarrow [/tex]8x = 100 Find the product of the extreme and the means.

[tex] \rightarrow \: \rm = \frac{8x}{8} = \frac{100}{8}[/tex] Divide both sides by 8.

[tex] \rightarrow [/tex]x = 12.5

Therefore, the percentage of increase in the item is 12.5%.