Simplify the following surd expressions
a) 9V3 -4V3 + V5 + 2V5
b) 10V2 + 4V7 - 6V2

Simplify The Following Surd Expressionsa) 9V3 -4V3 + V5 + 2V5b) 10V2 + 4V7 - 6V2

Answers

Answer 1

a.9v3-4v3+v5+2v5

=5v3+v3+2v5

=5v3+3v5

b.10v2+4v2+6v2

=4v2+4v7


Related Questions

The diagram below shows how the tables and chairs are arranged in the school cafeteria. A table seats 3 people and the tables can be pushed together. When two tables come together, 4 people can sit around the table. Complete this table to show the relationship between the number of tables, n, and the number of students, S, who can sit around the table.

Answers

Answer:

well in theory on tabe has to be smaller so I guess the number of people in all is 4 and the difference between the tables are size

40
X
5. A health-food business would like to create a high-potassium blend of dried fruit in the form
of a box of fruit bars. It decides to use dried apricots, which have 407 mg of potassium per
serving, and dried dates, which have 271 mg of potassium per serving.
4
y
The company can purchase its fruit through www.driedfruitbaskets.com in bulk for a
reasonable price. Dried apricots cost $3.33/serving and dried dates cost $2/serving. The company
would like the box of bars to have at least the recommended daily potassium intake of about
4700 mg, but would like to keep it under twice the recommended daily intake. In order to
minimize cost, how many servings of each dried fruit should go into the box of bars?
5
Objective Function:
Constraints:
Corner Points & Answer:

Answers

Thus, the values corresponding to the function and constraints will be:

Objective Function:[tex]C=3.33X+2.00Y[/tex]

Constraints:[tex]407X+271Y\geq 4700\\407X+271Y\leq 9400[/tex]

We begin by defining the variables. Let call:

X = of servings of dried apricots

Y= of servings of dried dates

For apricots, there are 3 servings in one pound. This means that the cost per serving is $9.99/3 = $3.33. The cost for X:

[tex]3.33X[/tex]

For dates, there are 4 servings per pound. This means that the cost per serving is $7.99/4=$2.00. The cost for Y:

[tex]2.00Y[/tex]

The total cost would be:  

[tex]C=3.33X+2.00Y[/tex]

Product must contain at least 4700mg of potassium

[tex]407X+271Y\geq 4700\\407X+271Y\leq 9400[/tex]

So now with the equations set it is possible to see that the desired values are between 9400 and 4700. Then using the critical points X=0, Y=0 for the two given equations. This will inform the points of interest for X and Y if this analysis is needed for the exercise.

Learn more: brainly.com/question/16173741

A car's value depreciates by 18% in its first year and is now worth £6789.
What was the original price of the car?

Answers

Answer:

  £8279.27

Step-by-step explanation:

The given relationship is ...

  (original price) × (1 - 18%) = £6789

Dividing by the coefficient of the original price, we find it to be ...

  original price = £6789/0.82 = £8279.27

The original price of the car was £8279.27.

The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.

800 grams = (How many?)
pounds

700 grams = (How many?)
pounds

Answers

Answer:

Here they are unrounded

800 grams = 1.7637

700 grams = 1.54324

Step-by-step explanation:

Hope this helps

Write the equation of the line in point-slope form that has slope 3 and passes through (2, -5).

Answers

Answer:

y+5=3(x-2).

Step-by-step explanation:

1) according to the condition m=3; x₁=2; y₁= -5, then

2) the required equation is y+5=3(x-2).

What is an equation in point-slope form for the line that passes through the points (4,-1) and (-3,4)?
y-3= (x+4)
y–4= (x+3)
y+4= (x+3)
y+4= (x+3)​

Answers

Point-Slope Form: y + 1 = - 5/7 • ( x - 4 ). Slope intercept form: y = -5/7 + 13/7. The choices you have are incorrect

What is the length of the radius of a circle if the equation for the circle is (x + 2)2 + (y - 9)2 = 22.09?

Answers

Answer:

The radius is 4.7 units.

Step-by-step explanation:

To answer this we need only find the square root of 22.09:  4.7

The radius is 4.7 units.

use properties of logarithms to condense logc Yc X


Answers

{7272-92927^7262>6363}+66=726823

Write the Equation
Equation

X Y
-2 5
-1 3
0 1
1 -1
y=-X+2
y=x+2
y=2x+1
y-2x+1

Answers

Answer:

y=-5×+13

Step1 inter change ×gy

(x^2+ 6x + 9) / (x-3)

Answers

Answer:

Simplify:

[tex]\frac{( {x}^{2} + 6x + 9) }{x - 3} [/tex]

Factoring:

[tex] {x}^{2} + 6x + 9[/tex]

The first term is, x2 its coefficient is 1 .

The middle term is, +6x its coefficient is 6 .

The last term, "the constant", is +9

Step-1 : Multiply the coefficient of the first term by the constant 1 • 9 = 9

Step-2 : Find two factors of 9 whose sum equals the coefficient of the middle term, which is 6 .

-9 + -1 = -10

-3 + -3 = -6

-1 + -9 = -10

1 + 9 = 10

3 + 3 = 6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 3

[tex] {x}^{2} + 3x + 3x + 9[/tex]

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x+3)

Add up the last 2 terms, pulling out common factors :

3 • (x+3)

Step-5 : Add up the four terms of step 4 :

(x+3) • (x+3)

Which is the desired factorization.

Multiply (x+3) by (x+3)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+3) and the exponents are :

1 , as (x+3) is the same number as [tex](x+3) {}^{1}[/tex]

and 1 , as (x+3) is the same number as[tex](x + 3) {}^{1} [/tex]

The product is therefore, [tex](x + 3) {}^{(1 + 1)} = (x + 3) {}^{2} [/tex]

The graph f(x)=(x+2)^2-7is translated 5 units left, resulting in the graph g(x). Which equation represents the new function, g(x)?

Answers

Answer: G(x)=(x-3)^2-7

Step-by-step explanation: Translated 5 units to the left is a  negative change and a change in the X axis

The equation represents the new function, g(x) will be G(x)=(x-3)²-7. The correct option is A.

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

It is given that the graph f(x)=(x+2)²-7 is translated as 5 units left, resulting in the graph g(x).

Translated 5 units to the left are a negative change and a change in the X axis. The graph is also attached with the answer below.

The equation represents the new function, g(x) will be G(x)=(x-3)²-7.

To know more about translation follow

https://brainly.com/question/12861087

#SPJ5

What is the geometric mean of
1. 16 and 27
2. 24 and 32
3. 5 and 36
4. 8 and 48

Answers

Answer:

1.  12√3

2.  16√3

3.  6√5

4.  8√6

Step-by-step explanation:

To find the geometric mean of n numbers multiply the numbers and then take the nth root.

For two numbers n = 2  

it's the square root of the product

√(16 * 27)

√432

12√3

√(24 * 32)

√768

16√3

√(5 * 36)

√180

6√5

√(8 * 48)

√384

8√6

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x - 5)?
-
o
-5
-4
-3
-1
0
1
2
3
4
5
f
.
-5
-4
-3
-2.
-1
o
3
o
1
2
4
5
+
+
-4
-5
-3
-2
-1
+
1
o
+
2.
+
3
+
4
5
Ол
O
3
-5
-4
-3
-2
-1
o
1
2.
3
4
5

Answers

Answer:

3 8-4× less than 6 ×-5 and then you solve the equation

(3x+8)(x+4)

Expand and simplify

Answers

Answer:

Step-by-step explanation:

(3x+8)(x+4), distribute 3x over the second parenthesis first and then the 8

3x² + 12x + 8x + 32 , combine like terms

3x² + 20x + 32

Answer:

3x^2 + 20x + 32

Step-by-step explanation:

Distribute 3x over the second parenthesis first and then the 8.

#CarryOnLearning

Jack and Jill, trying to do math and chill, when they ran into a problem. They can't agree on what the answers should be, so now it's up to you to solve them.
In class, Jack thought as Jill she sought solve an absolute value... she removed the sign from her negative nine and said "the problem should be just about through".
But Jack he said, "no Jill you misread, the negative is on the outside". Still Jill didn't budge, so you be the judge, does this mean that the teacher lied?
Here's the problem Jack and Jill are trying to solve: -|9| = ?Jack thinks the answer is -9, because the negative is outside the absolute value signs. Jill thinks the answer is 9, because the teacher said absolute value is always positive.

Who is right and why? Explain your steps using sentences.

Answers

Answer:

-9

Step-by-step explanation:

the teacher was right

PLEASE HURRY THIS IS TIMED !!!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Keith wants to buy an IPad for $500. He wants to earn enough money delivering pizzas to cover at least two-fifths of the cost.

Part A.

If he earns $12.50 per hour at work, write an inequality that represents how many hours Keith's needs to work



Part B

Solve your inequality? Justify your answer.

Answers

Answer:

Step-by-step explanation:

500 / 5 = 100 (that's 1 fifth, so 2 fifths will be 200)

200 / 12.5 = 16 (he will have to work 16 hours to get $200)

the inequality would be:

x * 12.5 >= 500 * 0.4 (something like that)

What is the quotient of 4/5÷1/3

Answers

Solving:

The quotient of a division, is the result of the division, for example, 3 divided by 3, the result is 1, that is the quotient.

[tex]\sf \displaystyle \sf \frac{4}{\:5}\div \frac{1}{3}\\\\\\\sf \frac{4}{5}\times \frac{3}{1}\\\\\\\sf \frac{4\times \:3}{5\times \:1}\\\\\\\sf \frac{12}{5\times \:1}\\\\\\\sf \frac{12}{5}\approx\boxed{\sf 2,2\ll Quotient}[/tex]

Okay?!

Louise spins the spinner twice. Which probabilities are correct? Check all that apply.

Answers

Where are the probabilities?

"15 is always equal to the product of a number and 5" translates to a mathematical equation.
O True
O False

Answers

Answer:

This is True

Step-by-step explanation:

I know this because it is like dividing you just divide 15 by 5 and the it will be equal

What is the inverse of the function f(x) =√x-2

Answers

y=√x−2⇒y2=x−2⇒x=y2+2

Help?????????????????

Answers

Answer:

the first option is the answer

Step-by-step explanation:

Ricardo camina 2 km
en 2 hora. ¿Cuántos
minutos tardará si
DESCANSO
A 2KM
camina 12 km?

Answers

The time it will take ricardo to walk 12km is 12 hours

If Ricardo walks 2 km  in 2 hours, the speed of Ricardo is expressed as:

Speed = Distance/Time

Speed = 2km/2hr

Distance = 1km/hr

To find the time it will take to walk 12km, we will use the same formula:

Time = Distance/Speed

Time = 12km/1km/hr

Time = 12hours

Hence the time it will take ricardo to walk 12km is 12 hours

Learn more on speed here: https://brainly.com/question/13262646

En una panadería, con 80 kg de harina hacen 120 kg de pan. ¿Cuántos kilos de harina serían necesarios para hacer 360 Kg de pan?

Answers

Answer:

240 kg

multiplica 360 con 80 y luego dividelo por 120. Que equivale a 240, o divide 120 por 80 que te da 1.5 y multiplicalo por 240 que equivale a el total 360 Kg

please need help answering this

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

Between the points at (x, y) = (-5, 4) and (-4, 6), the graph rises 2 units for a horizontal run of 1 unit. The average rate of change between the two points is ...

  m = rise/run = 2/1 = 2

The average rate of change on the interval [-5, -4] is 2.

As Sandra drives, her music player randomly selects music from her playlist. Sandra’s playlist contains:

3 traditional country songs

6 traditional rock songs

4 hip-hop rap songs

5 contemporary country songs'

1 Latin rap song

3 traditional pop songs

What is the probability that the player will select some rap music next?

Answers

Answer:

the probability will be 18.18%

18.18 maybe






aaaaaaaaaaaaaaaaaaaaa

Events A and B are disjoint. Find P(AorB) when P(A) = 0.55 and P(B) = 0.2

P (A or B)=

Answers

Answer:

0.75 = P(A or B)

Step-by-step explanation:

Since the events are disjoint, we can find the probability of one or the other occurring merely by adding P(A) and P(B):  0.55 + 0.2 = 0.75 = P(A or B)

The number of ways to choose three different pizza toppings from a group of six is called a ?

Answers

Answer:

Uh, 16.

Step-by-step explanation:

We need to choose three different toppings. So here we need to find the number of ways in which we can choose three different toppings out off. 16. So a number of ways are takes three at a time, from a total of 16. That is civilians combination. Here are formula for combination is 16 factorial over three factorial into 16 minus three. Factorial this candidate and a 16 factorial over three factorial into 16 minus trees. 13. Authority in factorial, now 16. Factory converted on a 16 in 2 15 into 14 into 13. Factorial over three factorial into 30. In fact, a real as we can see that 13 factorial is common toward denominator and numerator so we can get through this. Now I remaining times are 16 into 15 into 14. Over three in Toto into one has three factories, three in tow, one So calculating this ticket. Find 60 Soviet 56 TVs to select three different topics. Talked to select three different toppings out off 16 on a bizarre

(b+3)(b+7) FOIL method

Answers

(b+3)(b+7)

b^2+10b+21

Step-by-step explanation:

(b + 3)(b + 7) = ...

= b² + (3 + 7)b + (3•7)

= b² + 10b + 21

One thousand families were surveyed to
determine the distribution of families by size. The
results follow.
Family Size 2
3
4
5 6 7 8
Frequency
350
200 245 125
66
10
To the nearest percent, the probability that a given
family has 3 people is [? ]%.

Answers

Answer:

Step-by-step explanation:

probability of an event: number of events that satisfy the criteria/ total number of events

number of events that satisfy the criteria (in this case the number of families with three people)= 200

total number of events= 1000

200/1000= 20%

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