Expand and simplify the following
√3 (√3 - 1)
√5 (√10 + √2)​

Answers

Answer 1

Answer:

3 - [tex]\sqrt{3}[/tex]

10+[tex]\sqrt{10}[/tex]

Step-by-step explanation:

[tex]\sqrt{3}[/tex] ([tex]\sqrt{3}[/tex] - 1) → 3 - [tex]\sqrt{3}[/tex]

[tex]\sqrt{5}[/tex] ([tex]\sqrt{10}[/tex] + [tex]\sqrt{2}[/tex] ) → [tex]\sqrt{50}[/tex] + [tex]\sqrt{10}[/tex] → 2[tex]\sqrt{25}[/tex] + [tex]\sqrt{2}[/tex][tex]\sqrt{5}[/tex] → 2(5)+ [tex]\sqrt{10}[/tex] → 10+[tex]\sqrt{10}[/tex]


Related Questions

A theater group made appearances in two cities. The hotel charge before tax in the second city was $ 1500 higher than in the first. The tax in the first city was
3%, and the tax in the second city was 9.5%. The total hotel tax paid for the two cities was $580. How much was the hotel charge in each city before tax?
First city:
si
Х
5
?
Second city: 0
I’m

Answers

9514 1404 393

Answer:

first city: $3500second city: $5000

Step-by-step explanation:

Let x and y represent the hotel charges in the two cities. The relations we are given are ...

  x - y = -1500 . . . . . . second city hotel charge was 1500 more

  0.03x +0.095y = 580 . . . . . total tax paid was 580

Using the first equation, we can write an expression for x:

  x = y -1500

Substituting that into the second equation gives ...

  0.03(y -1500) +0.095y = 580

  0.125y = 625 . . . . . . . add 45 to both sides and simplify

  y = 5000 . . . . . . . . . . multiply by 8

  x = 5000 -1500 = 3500

The hotel charges were ...

  First city: $3500

  Second city: $5000

An aircraft factory manufactures airplane engines. The unit C(the cost in dollars to make each airplane engine) depends on the number of engines made. If x engines are made , then the unit cost is given by the function C (x) = 0.9x^2-306x+34,590. What is the minimum unit cost?

Answers

34,590 because even if 0 engines are made, then 34,590 is still expected as a base price

9:00 oclock as a fraction in its lowest form​

Answers

Answer:

1/9

Step-by-step explanation:

Answer:

i think but it is 9/12 that is 3/4

I am sorry I am not very sure

Is this statement true or false? The expression 4x (x2 + 4x + 3) is a polynomial. O True O False​

Answers

Answer:

Step-by-step explanation:

If you remove the brackets you get

4x^2*x^2 + 4x*4x + 3*4x

4x^4 + 16x^2 + 12x

That definitely is a polynomial

In its factored form, one of the factors is a polynomial so the answer is true.

Central/Inscribed angles w work pls i beg last one

Answers

Answer:  346/45

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

Explanation:

Let point A be the center of the circle.

The inscribed angle CED doubles to the central angle CAD due to the inscribed angle theorem.

angle CAD = 2*(angle CED)

angle CAD = 2*(7x+6)

angle CAD = 14x+12

Angle CAD is the same as minor arc CD. These are two different ways to describe the same thing more or less. This is because the central angle subtends or cuts off the minor arc CD.

-----------

The three arc pieces CE, ED and CD all combine to form a 360 degree circle.

(arc CE) + (arc ED) + (arc CD) = 360

(18x+1) + (13x+1) + (14x+12) = 360

(18x+13x+14x) + (1+1+12) = 360

45x+14 = 360

45x = 360-14

45x = 346

x = 346/45

This approximates to roughly x = 7.6889, but I have a feeling your teacher will want the fraction form.

4(x-3) < x+3, Where x ∈ W
Please help me​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

Given:

[tex]\rm\longmapsto 4(x-3)<x+3, x\in \mathbb{W}[/tex]

[tex]\rm\longmapsto 4x-12<x+3[/tex]

[tex]\rm\longmapsto 4x-12-x<x+3-x[/tex]

[tex]\rm\longmapsto 3x-12<3[/tex]

[tex]\rm\longmapsto 3x-12+12<3+12[/tex]

[tex]\rm\longmapsto 3x<15[/tex]

[tex]\rm\longmapsto \dfrac{3x}{3}<\dfrac{15}{3}[/tex]

[tex]\rm\longmapsto x<5, x\in\mathbb{W}[/tex]

[tex]\large\underline{\sf{Answer-}}[/tex]

Therefore:

[tex]\rm\longmapsto x=\{0,1,2,3,4\}\ \ \ [/tex]

Change 41/7 from an improper fraction to a mixed number.

Answers

Answer:

5 6/7

Step-by-step explanation:

how many times does 7 go onto 41?

7 x 5 = 35

remainder is 6 so;

5 6/7

Hey there!

41/7

= (5 * 7 + 6)/7

= (5 * 7)/7 + 6/7

= 5 6/7

= 5 6/7 ≈ 41/7

Therefore, your answer is: 5 6/7

Good luck on your assignment and enjoy your day’

~Amphitrite1040:)

Jon paid $40 for a shirt, but later that week the
price had been raised by 15%...how much did
the shirt go up?

Please give a walk through ty

Answers

Answer:

15% of 40 is 6

9514 1404 393

Answer:

  $6

Step-by-step explanation:

15% is the ratio of the price increase to the original price.

As a fraction 15% = 15/100 (fifteen hundredths).

As a decimal, 15% = 0.15 (fifteen hundredths).

__

The statement about the price increase is telling you ...

  (increase)/(original) = 0.15

Multiplying by the original price, we get ...

  (increase) = 0.15×(original) = 0.15 × $40 = $6.00

The price of the shirt went up $6.00.

x-10/3=5x+2/2 I need help with he next step please

Answers

Answer:

x2 the left side and x3 the right side of the equation

Answer:

X = -2

First you cross multiply, and then you expand to get 15x+6

after that its basic algebra with adding/subtracting from each side, simplifying, and then divide both sides by -13.

A. —————-is the number above the fraction bar in a fraction. A ———-is the number below the fraction bar that respresents the number of equal parts in the whole

Answers

Answer:

First numerator and second denominator

Solve:
8t + 2 = 8 (4) + 2 = 32 + 2 = ?

Whats the question mark?

Answers

Answer:34

Step-by-step explanation:

32+2=34

Answer:

= 34

Step-by-step explanation:

8t + 2 = (4) + 2 = 32 + 2 = 34

that's my answer , i wish my answer helps you

What is 3 x 320 x 5 x 10245?

Answers

The answer is 49176000

Answer:

49176000

I hope this helps.

Question
Write the sentence as an inequality.

A number t multiplied by −4 is at least −25

Answers

Answer:

[tex]-4t \geq -25[/tex]

Step-by-step explanation:

"A number t multiplied by −4" can be written as '-4t'

At least is a phrase for "greater than or equal tp", so that would be our sign for the inequality.

A number t multiplied by −4 is at least −25 should be:

[tex]-4t\geq-25[/tex]

Hope this helps.

Find the value for x.

Answers

Answer:

x = 21

Step-by-step explanation:

5x - 12 = 3x + 30

5x - 3x = 30 + 12

2x = 42

x = 21

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

check

5 * 21 - 12 = 3 * 21 + 30

93 = 93

the answer is good

Which statement about the slope of a line is true?

A line with a negative slope increases as it is viewed from left to right.

A line with a positive slope increases as it is viewed from left to right.

A line with a positive slope decreases as it is viewed from left to right.

Answers

Answer:

B) A line with a positive slope increases as it is viewed from left to right.

Step-by-step explanation:

A line with a positive slope increases as it is viewed from left to right.

A positive slope means that as a line on the line graph moves from left to right, the line rises.

Hope this helps :)

a line with slope -2 passes through the point (-2,3). What is the equation of the line?

Answers

y=-2x+4 i believe is the answer


Triangle abc is similar to triangles def ghi and jkl the scale factors for the dilations that show triangle abc is similar to each triangle are in the table

Find the side lengths of triangles def ghi and jkl record them in the table

Answers

DEF 8 10 14
GHI 12 15 21
JKL 2 5/2 7/2

The diameter of a circle 18cm

Answers

Answer:

[tex]\text{Circumference}~ = 2 \pi r = 2 \pi \cdot \dfrac{18} 2 = 18 \pi =18 \times 3.14=56.52~ cm[/tex]

Step-by-step explanation:


What is the position of B on the number line below?
Write your answer as a fraction or mixed number

Answers

Step-by-step explanation:

B = 1 4/5

because 1 is completely to the left, and from the distance between 1 and 2 B is at the end of the 4th of 5 sub-segments.

and 1 4/5 would be also 9/5, because B includes the 5 sub-segments (of 5) between 0 and 1. and then the 4 of 5 sub-segments between 1 and 2. so that are 9 sub-segments in total.

and each sub-segment represents 1 out of 5 (= 1/5) parts of each number interval.

therefore, we have 9×1/5 = 9/5.

what is 10 2/1 divided by 2 1/4

Answers

Answer:

5.3 but the three is repeated

Step-by-step explanation:

Answer:

[tex]10 \frac{2}{1} \div 2 \frac{1}{4 } = \frac{48}{9} [/tex]

Penjelasan

[tex]10 \frac{2}{1} = \frac{12}{1} [/tex]

[tex]2 \frac{1}{4} = \frac{9}{4} [/tex]

[tex] \frac{12}{1} \div \frac{9}{4} = \frac{12}{1} \times \frac{4}{9} = \frac{48}{9} [/tex]

Then the answer is 48/9

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

[tex] \green{ \boxed{ \boxed{ \sf{Lusi \: Adriana} } } } [/tex]

A fair, six-sided dice is thrown once.
Select the probability of a 3 showing on the dice.

Answers

Answer:

1/2

Step-by-step explanation:

The dice has 6 faces therefore the probability that three will show is 3/6 which when divided gives you 1/2

The original selling price was ​$154.30 The sale price was ​$127.92 What is the first step in finding the percent​ markdown?

Answers

Answer:

subtract the new price from the original price

Step-by-step explanation:

To find the percent markdown, first subtract the new price from the original price

154.30-127.92

26.38

Then divide by the original price

26.38/154.30

.170965651

Multiply by 100% to get the percent decrease

17.0965651% decrease

Please help with this thanks

Answers

Answer:

1. 7

2. 5

3. 6

4. Start at the number 34. count back 1 at a time 28 times. then you will get your answer to 34-28 which is 6.

Step-by-step explanation:

have a great day! feel free to mark as brainliest. :)

Someone pls help me with these worksheets.



(Please answer properly, if u don't know, just leave it)

Answers

These are answers of the second page. but I don't the answer to question 5

brainliest
chose a point below that lies on the function y -10=-3(x-2)
(2,10)
(-3,2)
(-2,-3)
(10,2)

Answers

Answer: (2, 10)
Explanation: Graphing gives you a negative slope that intersects the first quadrant. The point hits that line perfectly

Solve for x: -2x - 4> 8
X<-6
X> -6
0x<-2
X>-2

Answers

Answer:

x < -6

Step-by-step explanation:

-2x - 4 > 8

the first step is to add 4 to both sides since we need to get x alone on one side

-2x - 4 > 8

      +4  +4

so we are left with -2x > 12

we still need to get x alone so we have to divide -2 from both sides

always remember that if you divide by a negative number the inequality flips!! so instead of > it will be <.

-2x/-2 = x

12/-2 = -6

so the answer is x < -6

Choose all options that apply.

Answers

Hey there!

Guide ⬇️

• Cup: is a cooking measurement for volume, it very much common in sizes & cooking things.

• Tablespoon: a abundant (huge) sized spoon that’s used for serving.

• Liter: is the limitation of volume that is held which is balanced (equal to) to ONE cubic decimeter.

• Fluid ounce: is basically unit space that is held at 1/16th of a US pint.

Based on that information the one that seems closer to the RIGHT answer is:

[Option A. Cup]

[Option B Tablespoon]

[Option D. Fluid Ounce]

Random fact:

• [1 (US) CUP] is approximately [8 (US) OUNCE]

• [1 (US) TABLESPOON] is approximately [1/2 (or 0.5)(US) US OUNCE)

• [1 FLUID OUNCE] is approximately [28.35 GRAM]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

9514 1404 393

Answer:

  a. cup

  b. tablespoon

  d. fluid ounce

Step-by-step explanation:

The liter is a metric unit of measurement of volume. US Customary units are not metric units. Rather, volume in the US is measured in ...

  teaspoons

  tablespoons (= 3 teaspoons)

  fluid ounces (= 2 tablespoons)

  cups (= 8 fluid ounces)

  pints (= 2 cups)

  quarts (= 2 pints)

  gallons (= 4 quarts, = 231 cubic inches)

  (oil) barrels (= 42 gallons)

and the measurements based on length:

  cubic inch

  cubic foot (= 1728 cubic inches)

  cubic yard (= 27 cubic feet)

  acre-foot (= 43560 cubic feet)

__

Above are the fluid measurements. In the US system, there are also dry measures that include ...

  gallon (= 268.8025 cubic inches--different from fluid gallon)

  peck (= 2 gallons)

  bushel (= 4 pecks)

negative seven times a number is negative two hundred forty five. what is the number?



pleasee i need help

Answers

Answer:

35

Step-by-step explanation:

since i couldn't answer before

PLEASE GIVE ME THE ANSWER ASAP

What is the solution to this system of linear equations?
5x + 6y = 29
3x + 6y = 27
A. (7,1)
B. (1,7)
C. (4,1)
D. (1.4)

Answers

Answer:

no answer b/c the terms are unlike term

Answer:

D. ( 1,4)

Step-by-step explanation:

What decimals are equal to 1.5^3

Answers

Answer:

3.375

Step-by-step explanation:

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