If f(x) = 2x³ + x - -4, then what is the remainder when f(x) is divided by x - 3?​

Answer:

11 hours

Step-by-step explanation:

let x represent the hours worked

26(x) + 80 = 366

26(x)=366-80

26(x)=286

x=11

.˙. the plumber worked 11 hours

The dimensions of the fenced-in area is given as

either length is 35 yards and width is 80 yards ,  

or length is 40 yards and width is 70 yards .

In the question ,

given that the total length of the fence (perimeter) = 150 yards

let L be the length of the portion to be fenced

let B be the width of the house

Given that , one side of the portion is fenced using the back side of the house

So, the perimeter of the portion to be fenced is 2L+B

equating both the perimeter ,we get

2L+B=150

B=150-2L       ....(i)

Also , given that the area of the  fenced-in portion = 2800 yards

also the formula for area of fenced-in portion = L×B

hence

L*B=2800

Substituting the values of B from equation(i) , we get

L*(150-2L)=2800

150L - 2L² = 2800

2L² - 150L + 2800 = 0

simplifying further , we get

L² - 75L + 1400 = 0

L² -40L -35L +1400 = 0          .....using splitting the middle term

L(L-40) -35(L-40) = 0

(L-35)(L-40) = 0

So , L = 35 yards or L = 40 yards

Using L = 35 yards , we get B = 150-2(35) = 80 yards

and using L =40 yards , we get B = 150-2(40) = 70 yards .

Therefore , the dimensions of the fenced-in area is given as

either length is 35 yards and width is 80 yards ,  

or length is 40 yards and width is 70 yards .

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Answer:

23) D

24) A

25) C

26) B

Step-by-step explanation:

23)

4x + 4y = -8  Let's find the intercepts.  The x intercept is when y = 0 and the y intercept is when x = 0

Let y = 0

4x + 4y = -8

4x = -8

x = -2

(-2,0)

4x + 4y = -8

Let x = 0

4y = -8

y = -2

(0,-2)

We are looking for the line that goes through the points (-2,0) and (0,-2)  That is line D.

24)

3x -2y = -6

Let y = 0

3x = -6

x = -2

(-2,0)

Let x = 0

-2y =-6

y = 3

(0,3)

We are looking for the line that goes through the points (-2,0) and (0,3).  That is line A.

25)

x + 2y = 2

Let y = 0

x = 2

(2,0)

Let x = 0

2y = 2

y = 1

(0,1)

We are looking for the line that goes through the points (2,0) and (0,1).  That is line C

26)

3x - y = 3

Let y = 0

3x = 3

x= 1

(1,0)

Let x  = 0

-y = 3

y= -3

(0, -3)

we are looking for the line that goes through the points (1,0) and (0, -3) which is line B

Answer: 23. D   24. A   25. C   26. B

Step-by-step explanation:

                              y=mx+b

The intersection of the straight line with the y-axis equals b

23.

4x+4y=-8

Divide both parts of the equation by 4:

x+y=-2

x+y-x=-2-x

y=-x-2

⇒b=-2 (D)

24.

3x-2y=-6

3x-2y+2y=-6+2y

3x=2y-6

3x+6=2y-6+6

3x+6=2y

Divide both parts of the equation by 2:

1,5x+3=y

⇒ b=3  (A)

25.

x+2y=2

x+2y-x=2-x

2y=-x+2

Divide both parts of the equation by 2:

y=-0.5x+1

⇒ b=1  (C)

26.

3x-y=3

3x-y+y=3+y

3x=y+3

3x-3=y+3-3

3x-3=y

⇒ b=-3  (B)

Ila invested $42,000 into an account earning 4% compounded annually. She makes no other deposits and does not withdraw any money, the balance of Ila's account in 5 years is $510,99.42.

Compound interest is when you receive the interest on both your interest income and your savings.

For instance, if you deposit $1,000 in an account that offers 1% yearly interest, after a year you would have received $10 in interest. Compound interest allowed you to earn 1 percent on $1,010 in Year Two, which amounted to $10.10 in interest payments for the year.

The yearly interest rate is raised to number of compound periods minus one, and the starting principal amount is multiplied by both of these factors. The resulting value is subsequently deducted from loan's entire original amount.

The formula is

A=[tex]p (1+r)^t[/tex]

A= future value?

P= present value 42000

R= interest rate 0.04

T= time 5years

A=[tex]42,000*(1+0.04)^5[/tex]

A=51,099.42

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Using  division we can infer that 50 pages will not be enough.

Division is one of the four basic arithmetic operations, or the process by which two numbers are added together to produce a new number.

Timmy has 810 stamps.

Now each page can hold 16 stamps and he has 50 pages.

Now we will divide 810 by 16 to calculate the number of pages required to put all the stamps.

∴ 810 ÷ 16 = 50 remainder 10.

Therefore after completing the 50 pages there are 10 stamps left.

Hence from division we can infer that 50 pages will not be enough.

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Disclaimer : the complete question is :

Timmy has 810 stamps. He wants to organize them on pages that hold 16 stamps each. He has 50 pages. Does Timmy have enough pages to organize all his​ stamps?

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Answer: 2x(3x−1)(x+2)

Step-by-step explanation:

Answer: 2x(3x-1)(x+2)

Step-by-step explanation:

6x^3 + 10x^2 - 4x=

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

2x(3x^2 + 6x - x - 2)=

2x(3x(x+2) - 1(x+2))=2x(3x-1)(x+2)

Answer:

Rotate AEFB 180 degrees counterclockwise around point G

Rotate AEFB 180 degrees clockwise around point G

Translate AEFB by the directed line segment from F to E, and then rotate 180 degrees clockwise around point E.    

Step-by-step explanation:

39 pounds of type coffee were used.

Type a coffee costs, Kira, $5.85 per pound, and type b coffee cost $4.20 per pound.

let, A pound of type a coffee,

B pounds of type b coffee.

according to the question;

this month's blend used 3 times as many pounds of type B coffee as type A coffee.

Total pounds of coffee =  x + 3x

The total cost then is:

(cost for Type A)(x) + (cost for Type B)(3x) = 717.60

=>5.65x + 4.25(3x) = 717.60

=>5.65x + 12.75x = 717.60

=>18.40x = 717.60

x = 39 pound

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For v = -4, 0, and 8 are not solutions of the equation 1 - 7v = - 69. The solution of the equation is v = 10.

Consider the equation,

1 - 7v = - 69

For the value of v = - 4,

1 - 7v = - 69

1 - 7 × - 4 = - 69

1 + 28 ≠ - 69

29 ≠ - 69

Hence, v = - 4 is not a solution.

For v = 10,

1 - 7v = - 69

1 - 7 × 10 = - 69

1 - 70 = - 69

- 69 = - 69

Therefore, v = 10 is a solution.

For the value of v = 0,

1 - 7v = - 69

1 - 7 × 0 = - 69

1 ≠ - 69

Hence, v = 0 is not a solution.

For the value of v = 8,

1 - 7v = - 69

1 - 7 × 8 = - 69

1 - 64 ≠ - 69

- 63 ≠ - 69

Hence, v = 8 is not a solution.

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A graph's correlation between two variables reveals the relationship between them. The correlation is given a name based on the characteristics of the variables represented on the graphs.

What does the term correlation mean?

The data points of a person with two different factors are related in a scatterplot. The term "correlation" refers to this connection.

A correlation is the relationship between any two variables represented on any graph.

The correlation is divided into three main categories based on the sort of relationship between the variables. Those are

i) Positively correlation

ii) Negative correlation

iii) No correlation

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Answer:

400

Step-by-step explanation:

the volume of a pyramid with a square base is [tex]\frac{lwh}{3}[/tex] so the volume is 12*10*10 divided by 3, which is 1200/3, or 400

Answer:

4/5 cup

Step-by-step explanation:

Answer: 1 1/2

Step-by-step explanation:

1/2 divided 1/3  = 3/2 = 1 1/2

1/2 divided 1/3

= 1/2 x 3/1

1 × 3

2 × 1

= 3/2

= 1 1/2

The four students; Michal, Hypatia, clodoveo and Jamal's attempt to explain the expression "3 - 5 × (4 - 3 × 2)² - 1 + 2(1 - 2)³" is incorrect

This means to make simpler, either by reducing in complexity, reducing to component parts, or making easier to understand.

3 - 5 × (4 - 3 × 2)² - 1 + 2(1 - 2)³

Using PEMDAS

Correct workings:

3 - 5 × (4 - 3 × 2)² - 1 + 2(1 - 2)³

3 - 5 × (1 × 2)² - 1 + 2(-1)³

= 3 - 5 × (2)² - 1 + 2(-1)

= 3 - 5 × (4) - 1 - 2

= 3 - 20 - 3

= - 20

In conclusion, the correct simplification of the expression "3 - 5 × (4 - 3 × 2)² - 1 + 2(1 - 2)³" is -20

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Answer:

D. 12(2x − 3) > 60

Step-by-step explanation:

Area of rectangle = length x width

The length of the rectangle is 12 feet, and the width is (2x - 3) feet.

Area = 12 x (2x - 3)

= 12(2x - 3)

From the given question,

area of rectangle > 60 square feet

So that;

12(2x - 3) > 60

24x - 36 > 60

24x > 60 + 36

24x > 96

Divide both sides by 24, to have;

=

x > 4

Therefore,

width = (2x -3)

since x > 4, then;

width > (2x4 - 3)

> 8 -3

width > 5 feet

Thus,

length x width > 60

The number of runs that Jack must score will be 90.

It should be noted that the mean score from 8 matches is 45. Therefore, the total score will be:

= 8 × 45

= 360

When the coach says that he must increase the mean to 50 in the next match, the total score will be:

= 50 × 9

= 450

Therefore, the number of points that must be scored will be:

= 450 - 360

= 90

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The sentence for 4x-9 = 19 is "when 9 is subtracted from 4 times a number, it equals 19."

Definition. A conditional statement is one that has the syntax "If P then Q," with P and Q denoting sentences. P is referred to as the hypothesis and Q is referred to as the conclusion for this conditional statement. The implication of "If P then Q" is that whenever P is true, Q must also be true.

We have a conditional statement, for instance. In the event of rain, we will not play. Let's say A: It's raining and B: We're not going to play. If A is true—that is, if it is raining—and B is false—that is, if we played—then A implies that B is untrue.

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Answer:

3x^6-15x^3+2x^4-10x

Step-by-step explanation:

A cucumber seed needs to be planted 1 inch deep for optimal growth. the plant grows an average of 3 inches every 2 weeks. then the slope in the situation is 2

How do you find the slope of a line?

We need to find the ratio of the difference between the y-coordinates and x-coordinates of the two points, that form the line. The resulted value is the slope of the line. It shows the rise of the line along the y-axis over the run along x-axis.

since seed planted 1 inch deep then y1 = -1 and initial x1 =0

the plant grow an average of 3 inches every 2 weeks then y2 =3 and x2=2

putting in the formula

slope= y2 -y1 /x2 -x1

       = 3-(-1)/2-0

      = 4/2

      =2

thus the slope in this situation is 2

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Answer: C

Step-by-step explanation:

- 5/8k -8 + 2 + 1/3k

-5/8 = -15/24

1/3 = 8/24

-15/24k -8 + 2 + 8/24

-7/24k -6

There are 9 cans of soup and the 4 frozen dinners that were purchased.

Let x = the number of cans of soup purchased.

Let y = the number of frozen dinners purchased.

Lincoln purchased a total of 13 cans of soup and frozen dinners. This means that

x + y = 13 ..... i

x = 13 - y

The equation will be illustrated as

250x + 550y = 4450 .... ii

Substituting x = 13 - y into equation ii, it becomes

250(13 - y) + 550y = 4450

3250 - 250y + 550y = 4450

- 250y + 550y = 4450 - 3250

300y = 1200

y = 1200/300

y = 4

4 frozen dinners

Substituting y = 4 into x = 13 - y, it becomes

x = 13 - 4 = 9

9 cans of soup.

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     In a point-to-point graph, also known as a line graph, particular values of a function are represented graphically by dots on a coordinate plane. Straight lines connect adjacent pairs of dots.

    Choose x and work out the equation for y, or, to locate points on the line y = mx + b. Decide on y, then find x.

         Depending on your preference, you can plot points one at a time, a few on a line, or all at once in a table. Start with the video on the right before continuing to the resources and challenges below to learn more.

          The point (-4, 482) is located on the y=6f[-(x-5)] graph. -4 What is the fundamental idea behind y=f(x).

  If x=-4 and y=482 are subtracted from y=6f[-(x-5)],

I obtain the result f=9 at -4.

When I adjust the slider to f=9 and enter y=6f[-(x-5)]-4 into Demos, the line goes through the point (-4,482)

Does this imply that y=9x is the solution.

None of this actually makes sense to me. I don't understand a single thing. Just rearranging the numbers is all. There were NO examples in the lessons of an equation with a "y". Additionally, the left side of the equation in each example contained "f(x)" or "g(x)".

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Answer:

1594

Step-by-step explanation:

Answer:

circle is 22

Triangle is 34

Step-by-step explanation:

22 + 22 + 22 = 66

22 + 34 + 34 = 90  

Take 90 - 22 = 68

Divide 68 by 2 to get 34

∠GML ≅ ∠HMJ by the Vertical Angles Congruence Theorem.

∠GMH ≅ ∠LMJ by the Vertical Angles Congruence Theorem.

∠GMK ≅ ∠JMK by the Right Angles Congruence Theorem. They form a linear pair which means they are supplementary by the Linear pair Postulate and because one is a right angle so is the other by the Subtraction Property of Equality.

According to the congruence theorem of vertical angles or angles that are vertically opposing, two opposing vertical angles that are created when two lines intersect one other are always equal.

So from the figure, we can determine the vertically opposite angles,

∠GML ≅ ∠HMJ

Similarly, ∠GMH ≅ ∠LMJ

The angles ∠GMK and ∠JMK form a linear pair and are supplementary by the linear pair postulate which states that the two angles in the linear pair add up to 180°.

We know that all right angles are congruent from the Right Angle Congruence Theorem.

Hence,∠GMK ≅ ∠JMK

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Answer:

x = 40 in

Step-by-step explanation:

the missing angle in the triangle on the left is

180° - (74 + 51)° = 180° - 125° = 55°

the missing angle in the triangle on the right is

180° - (74 + 55)° = 180° - 129° = 51°

the 2 triangles have 3 pairs of congruent angles and are therefore congruent.

Corresponding sides and angles are then congruent

consider the corresponding sides opposite 74° , that is x and 40 in , so

x = 40 in

Answer:

A= 5000 e

A= 39,624.12

Step-by-step explanation:

Answer:

no round to the nearest cant and do no