Nyree divided 495 are 24 using partial quotients find the quotient and remainder explain your answer using numbers and words

Answers

Answer 1

Answer: Quotient=20 and remainder=15.


Step-by-step explanation:

Here dividend=495 and divisor=24

Step 1) Write easy multiples of 24 such as

24×2=48

24×5=120

24×10=240 and so on...

Step 2) Find the easier multiple of 24 to subtract from 495 .

Let 240 is the easiest one then 495-240=255 and note 10 as first partial quotient.

Step 3)  Again subtracting 240 (as easier one) from 255 and note 10 as second partial quotient,we get 255-240=15 which is our remainder (as it is less than the divisor).

Step 4) add both the partial quotients=10+10=20→ Quotient


Answer 2

The quotient of 495 divided by 24 using partial quotients is 20, and the remainder is 15. This method simplifies the division by subtracting easily computable multiples of 24 from 495.

Nyree wants to divide 495 by 24 using partial quotients, a method where we break down a division problem into simpler pieces that we can solve in our head. For instance, knowing that 24 is close to 25, which is a quarter of 100, can help us simplify the problem. Let's start by subtracting multiples of 24 from 495 until we can subtract no more without going into negatives.

First, we know that 24 times 20 is 480, so we subtract 480 from 495, which gives us a partial quotient of 20 and a remainder of 15.Since 24 cannot go into 15, we stop here. Our total quotient, therefore, is 20 with a remainder of 15.

The quotient of 495 divided by 24 is 20, and the remainder is 15. Partial quotients make it easier to handle large numbers by breaking them into smaller, more manageable pieces.


Related Questions

Are my answers correct? Precalculus!!

Answers

Answer:

Unfortunately, your answer is not right.

Step-by-step explanation:

The functions whose graphs do not have asymptotes are the power and the root.

The power function has no asymptote, its domain and rank are all the real.

To verify that the power function does not have an asymptote, let us make the following analysis:

The function [tex]y = x ^ n[/tex] , when x approaches infinity, where does y tend? Of course it tends to infinity as well, therefore it has no horizontal asymptotes (and neither vertical nor oblique)

With respect to the function [tex]y= \frac{1}{x}[/tex] we ​​can verify that if it has asymptote horizontal in y = 0. Since when x approaches infinity the function is closer to the value 0.

For example: 1/2 = 0.5;   1/1000 = 0.001;    1/100000 = 0.00001 and so on. As "x" grows "y" approaches zero

Also, when x approaches 0, the function approaches infinity, in other words, when x tends to 0 y tends to infinity. For example: 1 / 0.5 = 2; 1 / 0.1 = 10; 1 / 0.01 = 100 and so on. This means that the function also has an asymptote at x = 0

Final answer:

The question involves precalculus, a High School or College level Mathematics topic, focusing on the accuracy and reasonableness of answers related to engineering principles. Students must consider significant figures, units of measure, and logical consistency within their mathematical processes.

Explanation:

The student's question pertains to the subject of Mathematics, specifically within the realm of Precalculus, which is typically taught at the High School or College level. The inquiry involves reviewing the process of answering questions in mathematics and science as it relates to engineering. This includes checking whether an answer is reasonable in terms of units, magnitudes, and mathematical consistency. For instance, in the context of a precalculus class, students are expected to pay close attention to significant figures, units of measure, and ensuring answers are logically consistent with the problem presented.

The data set provided from Susan Dean's spring precalculus class can be used as an example for various statistical calculations. When dealing with such data, students need to organize it in a clear format, identify central tendencies (like mean, median, mode), and ensure that final answers are expressed with the proper significant figures and units. These practices are crucial for nd are rerced in a variety of STEM courses.

When it comes to the review questions mentioned, while specific questions are not provided, it is clear that students are encouraged to identify all correct answers to demonstrate their understanding of how mathematics and science connect with engineering. This holistic approach reflects real-world problem-solving where multiple solutions or considerations often exist.

in a certain​ chemical, the ratio of zinc to copper is 3 to 13. a jar of the chemical contains 403 grams of copper. how many grams of zinc does it​ contain?

HELP MEHH PLZZZ!!!!!!!!!!!!!

Answers

Answer: 93 grams Zinc


Step-by-step explanation:

3 Zinc : 13 Copper

x 31       x 31            

93 Zinc,     403 Copper

or

set up a proportion, cross multiply, and solve for the variable:

[tex]\frac{Zinc}{Copper}: \frac{3}{13} = \frac{x}{403}[/tex]

3(403) = 13(x)

[tex]\frac{3(403)}{13} = x[/tex]

3(31) = x

93 = x


Final answer:

The amount of zinc in the chemical is determined by using the given ratio of zinc to copper and applying it to the given amount of copper. Step-by-step calculations reveal the quantity of zinc to be 93 grams.

Explanation:

The question is asking for the amount of zinc in a chemical where the ratio of zinc to copper is 3:13. To find out this, we need to solve for zinc in terms of the given amount of copper.

First, understand that the ratio means for every 3 grams of zinc, there are 13 grams of copper. Now, simply set up a proportion where 3/13 = x/403. Here x is the amount of zinc in grams we are trying to find. 3/13 is the zinc to copper ratio and 403 is the known amount of copper in grams.

When you cross multiply and solve for x, you'll find that x = 3 * 403 / 13 = 93 grams. This means, if there are 403 grams of copper, then there must be "93 grams of zinc".

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question help brucebruce is taking a taxi to the airport. The taxi charges an initial fee of ​$44 and then ​$22 per mile. Write an algebraic expression for the cost of a taxi ride of m miles. Then evaluate the expression to find how much aa 55​-mile taxi ride would cost brucebruce. Write an algebraic expression for the cost of a taxi ride of m miles. Choose the correct answer below. A. 44mminus−22m b. 22plus+44m c. 44plus+22m your answer is correct.D. 22m upper aa 55​-mile taxi ride would cost brucebruce ​$ nothing.

Answers

Answer:

y = 44+22m

Step-by-step explanation:

Given that a taxi has a minimum charge of 44 dollar upto 1 mile and adds 22 for every additional 1 mile.

If a person travels 1 miles his charges are 44 dollar

If he travels >1 miles charges are 4 dollar +22(extra miles )

Let y be the charges and m be the no of miles.

Then the equation for y in terms of m would be

y =44+22m

is the correct answer.


Mary has a planting pot with a circumference of 92 cm. If a plants' directions state that it must be planted directly in the middle of the pot, what would be the exact measurement? Hint: Find the radius.

24.64 cm
14.64 cm
19.64 cm
22.64 cm

Answers

Answer:

14.64 cm

Step-by-step explanation:

this problem is finding radius of a circle from the circumference given.

Circumference of a circle = 2(3.14) r

Using the above we can find one if we know the other.  In our case we know circumference and calculate radius.

Circumference = 2(3.14)r= 92 cm

Hence r = 92/2(3.14) = 14.6497cm

apprxoximately 14.64 cm is close to the answer

Hence answer is 14.64 cm.


Answer:

14.64 cm

Step-by-step explanation:

The circumference of a planting pot = 92 cm

To find the measurement of the plant which is planted directly planted in the middle of the pot, we need to find the radius of the planting pot.

We know that the formula of the circumference of a circle is:

Circumference = [tex]2\pi r[/tex]

Therefore, putting the value of the circumference in the formula to get:

92 = 2 x 3.14 x r

r = 92 / (3.12 x 2) = 14.64 cm

Therefore the plant is 14.64 cm long.

A standard brick is 3.625 inches wide, 2.25 inches high, and 7.625 inches long. How many bricks could be in a pallet of bricks that measures 4 feet on all sides? (One cubic foot is 12×12×12 cubic inches.)

A. 1,757
B. 1,974
C. 1,709
D. 1,778

Answers

Answer: Option D. 1,778

Solution:

Standard brick:

Width: w=3.625 in

Height: h=2.25 in

Length: l=7.625 in

Volumen of one standard brick: v

v=w*h*l

v=(3.625 in)*(2.25 in)*(7.625 in)

v=62.19140625 in^3

Pallet of bricks:

Side: s=4 feet

s=(4 feet)*(12 in / 1 feet)→s=48 in

Volume of a pallet of bricks: V=s^3

V=(48 in)^3

V=110,592 in^3

Number of bricks could be in  a pallet: n

n=V/v

n=(110,592 in^3) / (62.19140625 in^3)

n=1,778.252119

n=1,778

Can someone confirm if this is the answer or not?

On his fruit stand, Mr. Roberts has 13 papayas 23 fruit stares 35 mangoes and 19 strawberries. What is the ratio of the number of mangoes to the total number of pieces of fruit?

Answers

Answer: [tex]\frac{7}{18}[/tex] = 7:18

Step-by-step explanation:

[tex]\frac{35(mangos)}{13(papayas)+23(stares)+35(mangos)+19(strawberries)} = \frac{35(mangos)}{90(total fruit)}[/tex]

[tex]\frac{35}{90}[/tex] ÷ [tex]\frac{5}{5}[/tex] = [tex]\frac{7}{18}[/tex]

Sara spent twice as much at the department store if Sara spent 88 how much did Jenni spend

Answers

Answer:

Jenni spent 44

Step-by-step explanation:

Let the amount spent by Jenni be x

Let the amount spent by Sara be  2x which also equals 88

2x = 88

x = ?

Cross multiplying gives:

x/2x × 88 = 44

Jenni therefore spent 44

Divide using synthetic division, and write a summary statement in fraction form. 2x5-x4+3x2-x+5/x-1

Answers

we are given

[tex]\frac{2x^5-x^4+3x^2-x+5}{x-1}[/tex]

Here , we have

[tex]dividend=2x^5-x^4+3x^2-x+5[/tex]

[tex]divisor=x-1[/tex]

now, we can use synthetic division

so, we get

[tex]Quotient=2x^4+x^3+x^2+4x+3[/tex]

[tex]Remainder=8[/tex]

now, we can write in fraction form

[tex]\frac{2x^5+x^4+3x^2-x+5}{x-1}=(2x^4+x^3+x^2+4x+3)+\frac{8}{x-1}[/tex]............Answer

Final answer:

To divide using synthetic division, arrange the polynomial in descending order, set up the synthetic division table, find the root of the divisor, perform the synthetic division, and read the coefficients of the quotient. In this case, the quotient is 2x^3 + x^2 + 4x + 3 with a remainder of -1.

Explanation:

To divide using synthetic division, you need to follow these steps:

Arrange the polynomial in descending order.Set up the synthetic division table and write down the coefficients of the polynomial.Find the root of the divisor and put it in the divisor column.Perform the synthetic division by bringing down the first coefficient, multiplying it by the root, and adding it to the next coefficient. Repeat this process until you reach the last coefficient.The last number in the synthetic division table is the remainder.The other numbers in the table form the coefficients of the quotient.

In this case, the polynomial is 2x5 - x4 + 3x2 - x + 5, and the divisor is x - 1. Using synthetic division, we divide the coefficients:

+--+--+--+--+--+--+
|  2| -1| 3| -1| 5
+--+--+--+--+--+--+
|   |  2| 1| 4| 3
|  -1| -1| -2| -6
+--+--+--+--+--+
|  2| 1| 4| 3| -1
+--+--+--+--+--+

The coefficients in the bottom row of the synthetic division table are 2, 1, 4, 3. Therefore, the quotient is 2x3 + x2 + 4x + 3, and the remainder is -1.

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3/4(8x-4)=7x-5x+6
Solve this answer

Answers

3/4(8x-4)=7x-5x+6
3/4(8x-4)=2x+6 Simplify
6x-3=2x+6 Distribute
4x-3=6 Subtract 2x from each side to get x on one side
4x=9 Add 3 to each side to get x alone
x=9/4 Divide by 4 to get x

4,divided by 3,476 i need helping hand

Answers

your answer is to be 1,150

[tex]4 \div 3.476 = 1.151 \: (rouded \: up)[/tex]

Apply the distributive propertyto create an equivalent expression. 1/2(6e-3f-3/4)

Answers

3e - [tex]\frac{3}{2}[/tex] f - [tex]\frac{3}{8}[/tex]

multiply each of the terms in the parenthesis by [tex]\frac{1}{2}[/tex]

[tex]\frac{1}{2}[/tex] (6e - 3f - [tex]\frac{3}{4}[/tex] )

= 3e - [tex]\frac{3}{2}[/tex] f - [tex]\frac{3}{8}[/tex]


Answer:

[tex]3e-\frac{3}{2}f-\frac{3}{8}[/tex]

Step-by-step explanation:

The given expression is

[tex]\frac{1}{2}(6e-3f-\frac{3}{4})[/tex]

To find an equivalent expression, we need to use the distributive property, that is, we have to multiply [tex]\frac{1}{2}[/tex] with each term that's inside the parenthesis.

[tex]\frac{1}{2}(6e-3f-\frac{3}{4})\\\frac{6e}{2}-\frac{3f}{2}-\frac{3}{2(4)}\\ 3e-\frac{3}{2}f-\frac{3}{8}[/tex]

Therefore, the equivalent expression is

[tex]3e-\frac{3}{2}f-\frac{3}{8}[/tex]

Remember that when we multiply fractions, we have to do it in a linear way, that is, numerators multiply each other, and denominators multiply each other. That means you CAN'T multiply a numerator with a denominator.

What are the domain and range of the function below?

Answers

Answer:

Domain ={0,infinity)

Range = (-infinity, 4]

Step-by-step explanation:

Given a graph with curve which has y intercept 4.

It passes x axis at 4 and extends fully

The domain is the set of values x can take

In the graph horizontal axis is x axis.

Hence from the graph we see that x can take values from 4 including 4 upto infinity.

Hence domain is x>=4

For range, we consider the values of y as per graph.

WE find that y is not taking values >4

Hence Range = (-infty, 4]


Answer:

[tex]Domain=[0,\infty)[/tex]

[tex]Range=(-\infty,4][/tex]

Step-by-step explanation:

We need to find the domain and range of the function.

Domain : It is the set of input values or x values. In a graph, domain of the function represented by the x-axis.

Range : It is the set of output values or y values. In a graph, range of the function represented by the y-axis.

From the given graph it is clear that it is defined for [tex]0\le x<\infty[/tex] and [tex]-\infty <y\le 4[/tex].

We have closed circle at (0,4). It means, 0 is included in the domain and 4 is included in the range.

[tex]Domain=[0,\infty)[/tex]

[tex]Range=(-\infty,4][/tex]

Therefore, [tex]Domain=[0,\infty)[/tex] and [tex]Range=(-\infty,4][/tex].

Suppose the population of a certain city is 5891 thousand. It is expected to decrease to 5178 thousand in 50 years. Find the percent decrease. The percent decrease is approximately

Answers

We are given

initial population is 5891

so, [tex]P_i=5891[/tex]

Population after 50 years is 5178

so, [tex]P_f=5178[/tex]

now, we can find percent error

so, we can use formula

[tex]error=\frac{P_i-P_f}{P_i}\times 100[/tex]

now, we can plug values

[tex]error=\frac{5891-5178}{5891}\times 100[/tex]

now, we can simplify it

so, we get

The percent decrease is 12.1032%.........Answer

First: work out the difference (decrease) between the two numbers you are comparing by the formula

Decrease = Original Number - New Number

In your case,

[tex]\text{Decrease}=5891-5178=713.[/tex]


Second: divide the decrease by the original number and multiply the answer by 100.

% Decrease = Decrease ÷ Original Number × 100

In your case,

[tex]\%\text{Decrease}=\dfrac{713}{5891}\cdot 100\%=12.1\%.[/tex]

Answer: The percent decrease is approximately  12.1%.

Please help answer ASAP

Answers

0.77875...

which, I'm assuming, they want you to round to the nearest hundredth? So, .78?...

First of all, we need to do the expression in parenthesis first.

(4% - 2.25%) = 1.75%

Now, we convert the percent into an integer.

1.75% = 0.0175

Then, we multiply 44.5 by 0.0175

and we get 0.77875.

We have to round the number to the nearest cent.

0.77875 is roughly 0.78

So the answer is $0.78.

Writing a Polynomial Function of a Graph:
use the fact that the graph passes through (0,36) to find the coefficient a in f(x)=a(x+3)(x+1)(x-2)(x-3)
a=???

Answers

we can see that

zeros are at x=-3 , x=2 , x=3

now, we can set up function

[tex]f(x)=a(x+3)(x-2)(x-3)[/tex]

now, we can select any one point and then we can find 'a'

(0,36)

x=0 and f(x)=36

we can plug it and then we can find 'a'

[tex]36=a(0+3)(0-2)(0-3)[/tex]

[tex]a=2[/tex]

now, we can plug it back

and we get

[tex]f(x)=2(x+3)(x-2)(x-3)[/tex]

now, we can multiply it

we get

[tex]f(x)=2x^3-4x^2-18x+36[/tex]............Answer

Debi walks laps around the mall for exercise during the winter months. The table represents the number of steps recorded on her meter as she walks laps around the mall one day. Which statement is true about the graph of the line representing Debi’s data?

a. Debi walks 1,875 steps per lap around the mall.
b. One lap around the mall is equal to about 2,425 steps.
c. One lap around the mall is equal to 4,300 steps.
d. Debi walks 6,175 steps per lap around the mall.

Laps / Steps
0 / 1,875
1 / 4,300
2 / 6,725
3 / 9,150
4 / 11,575

Answers

Answer:

The correct option will be:   b. One lap around the mall is equal to about 2,425 steps.

Step-by-step explanation:

Here, we will just find the slope of the line representing Debi’s data. For that, we will take any two data from the table in form of point like [tex](x,y)[/tex]

Lets take two points as  [tex](0, 1875)[/tex] and  [tex](2, 6725)[/tex]

Formula for finding the slope is:  [tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] , where [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] are two given points.

Here,  [tex]x_{1}= 0 , y_{1}= 1875 , x_{2}=2 , y_{2}=6725[/tex]

So, plugging these values into the above formula, we will get......

[tex]m= \frac{6725-1875}{2-0}=\frac{4850}{2}=2425[/tex]

That means, one lap around the mall is equal to about 2,425 steps.

Answer:

One lap around the mall is equal to about 2,425 steps.

Step-by-step explanation:

Does this table represent a function ?why or why not ?

Answers

(C) is correct answer. The values in the table assign to each x only one y value.

Answer:

c is the best answer for the question

Step-by-step explanation:


Math help please? giving 100 points. This is my last question i have and i'm just wanting some explanations on this since i was gone for a week during school. I came back and this whole part is quite confusing and i would be way too thankful for some help!

Answers

3. AB≅CE

4.CE≅AC

5.transitive property of congruence

6. definition of a isosceles triangle

Calculate The Mean from the data given below: x f 0 1 1 13 2 20 3 40 4 40 5 13 6 7

Answers

Answer: 12.6


Step-by-step explanation:

  (0 + 11 + 13 + 2 + 20 + 3 + 40 + 4 + 40 + 5 + 13 + 6 + 7)/13

= 164/13

= 12.6



Eva brick makes and sells her own cranberry apple juice in jug a s

Answers

I’m confused on how to answer this

Find the area of the rectangle below by multiplying its length and width.



(7x-1) units

(3x-2) units

Answers

Hello!

When multiply binomials together, we should use the FOIL method.

The FOIL method is an acronym for First, Outer, Inner, and Last.

First, let's set up the expression.

(7x - 1)(3x - 2)

Now, we can multiply in accordance with the FOIL method.

First: 7x · 3x = 21x²

Outer: 7x · -2 = -14x

Inner: -1 · 3x = -3x

Last: -1 · -2 = 2

Now, we simplify the inner terms.

21x² - 14x - 3x + 2

21x² - 17x + 2

Therefore, the area of the rectangle is 21x² - 17x + 2.

The area of the rectangle is (21x² - 17x + 2) units².

What is a rectangle?

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Given the length of the rectangle is (7x-1) units, while its breadth is (3x-2) units. Therefore, the area of the rectangle is,

Area of rectangle = (7x-1) units × (3x-2) units

= 21x² - 14x - 3x + 2

= 21x² - 17x + 2 units²

Hence, the area of the rectangle is (21x² - 17x + 2) units².

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Options are
A. 110
B. 410
C. 502
D. 775

Answers

Answer:

502

Step-by-step explanation:

4560/x=100/11

(4560/x)*x=(100/11)*x       - we multiply both sides of the equation by x

4560=9.09*x       - we divide both sides of the equation by (9.09) to get x

4560/9.09=x

501.6=x

x=501.6

why hello there

Your answer is c i was gonna give a better answer but the other dude did it


Efren leaves home at 9am and walks 4 miles per hour. His brother, gregory leaves half an hour later and runs 8.5 miles per hour in the same direction as efren. Predict the time at which gregory will catch up to efren

Answers

Answer:

Gregory will catch up Efren after 26 minutes 40 seconds.

Explanation:

 Distance traveled = Speed x Time

 Speed of Efren = 4 mi/h

 Speed of Gregory = 8.5 mi/h

 Let the time of catch up be t hours.

 Time of journey of Efren before catch up = (t+0.5)hours, since he starts before half hour.

 Distance traveled by Efren = 4 x (t+0.5) miles

 Time of journey of Gregory before catch up = t hours.

 Distance traveled by Gregory = 8.5 x t miles

If they catch up the distance traveled by them is same, so equating both distances.

4 x (t+0.5) = 8.5 x t

4.5t = 2

t = 0.44 hours =26.67 minutes = 26 minutes 40 seconds.

So Gregory will catch up Efren after 26 minutes 40 seconds.

Gregory will catch up to Efren approximately at 9:56am.

To find out when Gregory will catch up to Efren, we need to set up an equation based on their speeds and the time they travel.

Calculate the head start distance: Efren leaves at 9am and walks at 4 miles per hour.

Gregory leaves at 9:30am, so Efren has a 0.5-hour head start. Distance head start = speed × time = 4 miles/hour × 0.5 hours = 2 miles

Determine their relative speed: Gregory runs at 8.5 miles per hour while Efren walks at 4 miles per hour.

Relative speed = Gregory's speed - Efren's speed = 8.5 miles/hour - 4 miles/hour = 4.5 miles/hour

Calculate the time for Gregory to catch up: We need to divide the head start distance by their relative speed.

Time = Distance / Relative speed = 2 miles / 4.5 miles/hour ≈ 0.444 hours (which is roughly 26.67 minutes)

Find the catch-up time: Gregory leaves at 9:30am, so add the catch-up time to this.

Catch-up time ≈ 9:30am + 26.67 minutes ≈ 9:56am

Therefore, Gregory will catch up to Efren at approximately 9:56am.

What is the base 5 representation of the number 219?

Answers

The easiest way to do this is to start with the power of 5 that is just under 219.

125 would be the closest power of  5

Now subtract 125 from 219 = 94

=====================

The highest power of 5 closest to 94 is 25. You have to multiply 25 * 3 to get a number close enough to 94 that leaves a remainder under 25

94 - 75 = 19

=======================

19 - 3 * 5 = 4 Same argument as above.

Answer

219_10 = 1334_5

Answer:

1334/5

Step-by-step explanation:

(-4-7i)-(5-6i)

Simplify.

Answers

Answer is: −4−7i−(5−6i) = −9−i

The given complex expression is (-4-7i) - (5-6i). The simplification would give −9−i.

What are complex numbers?

Any complex number can be written as

z = a + ib

The given complex expression is

(-4-7i) - (5-6i)

The simplification will be

= −4−7i−(5−6i)

= −9−i

Therefore, The simplification would give −9−i.

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How Do you round 4,398,202 to nearest 100

Answers

Answer: 4,398,200

Step-by-step explanation:

4, 398, 202    

the underlined 2 is in the 100's place.  look at the number to the right of it.  If that number is greater than or equal to 5, then the 2 is rounded up.  Otherwise, the 2 remains the same.

The number to the right of the underlined 2 is 0, so the 2 remains the same.  All digits to the right will become 0s.

Question 4 Unsaved What is the remainder when the polynomial 6x2+11x−3 is divided by 2x−1?

Answers

To divide the polynomial [tex]6x^2+11x-3[/tex] by the polynomial [tex]2x-1,[/tex] you have to do such steps:

1 step. Multiply the polynomial [tex]2x-1[/tex] by [tex]3x[/tex]. You get the polynomial [tex]6x^2-3x.[/tex]

2 step. Subtract the polynomial  [tex]6x^2-3x[/tex] fro mthe polynomial [tex]6x^2+11x-3:[/tex]

[tex]6x^2+11x-3-(6x^2-3x)=6x^2+11x-3-6x^2+3x=14x-3.[/tex]

Step 3. Multiply the polynomial [tex]2x-1[/tex] by [tex]7[/tex] to get the polynomial [tex]14x-7.[/tex]

Step 4. Subtract the polynomial  [tex]14x-7[/tex] from the polynomial [tex]14x-3:[/tex]

[tex]14x-3-(14x-7)=14x-3-14x+7=4.[/tex]

Step 5. Write the division result:

[tex]6x^2+11x-3=(2x-1)(3x+7)+4.[/tex]

Here the quotient is the polynomial [tex]3x+7[/tex] and the remainder is the polynomial [tex]4.[/tex]

Answer: the remainder is 4.

Answer:

-1

Step-by-step explanation:

Just took the test

The volume of the cube below is 1/8cm^2 . What is the value of x?

Answers

We are given

edge of cube =x

we know that formula for volume of cube

[tex]V=x^3[/tex]

we are given

[tex]V=\frac{1}{8} cm^3[/tex]

we can plug value

[tex]x^3=\frac{1}{8} cm^3[/tex]

now, we can solve for x

[tex]\sqrt[3]{x^3} =\sqrt[3]{\frac{1}{8} cm^3 }[/tex]

[tex]x=\frac{1}{2} cm[/tex]............Answer

Answer:

1/2 cm

Step-by-step explanation:

Of the 36 students in the environmental club, 15 or boys and 21 are girls. The president of the club wants to add more boys so that the boys represent 50% of the students in the club.

Answers

Because 50% of something means half (because 100-50=50), he would have to make the number of girls and boys equal. Since there are 21 girls, he has to make it so there are also 21 boys.
So, if we know that 21-15=6, this means he would have to add 6 boys to the club if he wants the girls and boys equal.

The domain of y = 1/x - 10 is all real numbers except x = 10

TRUE or FALSE?

Answers

TRUE

because if we substitute the value of x = 10 to the equation, then we have quotient with divide by zero!

[tex]y=\dfrac{1}{x-10}\to f(x)=\dfrac{1}{x-10}\\\\f(10)=\dfrac{1}{10-10}=\dfrac{1}{0}\ !!!![/tex]

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