how to simplify 75-3y​

Answer:

Value is 3 - √8

Step-by-step explanation:

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

rationalise the denominator:

[tex] = \frac{1}{3 + \sqrt{8} } . \frac{3 - \sqrt{8} }{3 - \sqrt{8} } \\ \\ = \frac{3 - \sqrt{8} }{ {3}^{2} - {( \sqrt{8}) }^{2} } \\ \\ = \frac{3 - \sqrt{8} }{9 - 8} \\ \\ = 3 - \sqrt{8} [/tex]

Answer:

.0853

.8770

.9370

.0045

.4898

Step-by-step explanation:

Just go to a ztable and match the values (I've attached the one i use below)

if it's negative subtract one

if it's z># then subtract one

so for 1.37 go to the table and find the value (.8770) and subtract 1

Go to 1.16 on the z table (.8770), subtract 1 (1-.8770) and then do it again

for the last one you need to take a z value of 0 (.5) and then the value for 2.32 (.9898) and subtract them

.9898-.5=.4898

[tex]\\ \sf\longmapsto {x}^{2} - x - 3 = 0 \\ \\ \sf\longmapsto {x}^{2} - x = 3 \\ \\ \sf\longmapsto 4( {x}^{2} - x) = 4 \times 3 \\ \\ \sf\longmapsto 4 {x}^{2} - 4x = 12 \\ \\ \sf\longmapsto {(2x)}^{2} - 2 \times 2x \times 1 = 12 \\ \\ \sf\longmapsto {(2x)}^{2} - 2 \times 2x \times 1 + {1}^{2} = 12 + 1 {}^{2} \\ \\ \sf\longmapsto {(2x - 1)}^{2} = 12 + 1 \\ \\ \sf\longmapsto {(2x - 1)}^{2} = 13 \\ \\ \sf\longmapsto 2x - 1 = \pm \sqrt{13} \\ \\ \sf\longmapsto 2x = 1 \pm \sqrt{13} \\ \\ \sf\longmapsto x = \frac{1 \pm \sqrt{13} }{2} [/tex]

Bao Yu first step to solve the equation is,

⇒ adding –3 to both sides of the equation

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The polynomial is,

⇒ x² - x - 3 = 0

Now,

We can solve the equation as;

⇒ x² - x - 3 = 0

⇒ x² - x - 3 + 3 = 3

⇒ x² - x = 3

⇒ x² - x + 1/4 = 3 + 1/4

⇒ (x - 1/2)² = 13/4

⇒ x - 1/2 = ±√13 / 2

⇒ x = ±√13 / 2 + 1/2

Hence, Bao Yu first step to solve the equation is,

⇒ adding –3 to both sides of the equation

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Answer:

Hope this helps you

Answered by G a u t h m a t h

Answer:

d

Step-by-step explanation:

Answer:

D

because the least popular thing that was sell at the bake sale is the corn muffins

hope this helps!!!

not sure

Answer:

Step-by-step explanation:

Given function:

This is quadratic function.

The simplest form of a quadratic function is:

Correct choice is A

You would know that

[tex]\displaystyle\lim_{x\to\pm1}f(x)=1[/tex]

It follows from the sandwich/squeeze theorem: for instance,

[tex]x^4 \le f(x) \le x^2 \implies \displaystyle\lim_{x\to-1}x^4 \le \lim_{x\to-1}f(x) \le \lim_{x\to-1}x^2 \implies 1 \le \lim_{x\to-1}f(x) \le 1 \\\\ \implies \lim_{x\to-1}f(x)=1[/tex]

Answer:

X⁴–X²–2X –1=0

(X²+X+1)(X²–X–1)=0

[tex]x = - \frac{1 - i\sqrt{3} }{2} \\ x = - \frac{ 1 + i \sqrt{3} }{2} [/tex]

[tex]x = \frac{1 + \sqrt{5} }{2} \\ x = \frac{1 - \sqrt{5} }{2} [/tex]

I hope I helped you^_^

Answer:

see below

Step-by-step explanation:

Complements add to 90 degrees

x+40 = 90

x = 90-40

x = 50

Supplements add to 180

y+63 =180

y = 180-63

y = 117

If the sum of the measures of two angles is 90° they are known as complementary angles.

According to the question

⇨x + 40° = 90°

⇨x = 90° - 40° [Subtract]

⇨x = 50°

Complement angle is 50°

If the sum of the measures of two angles is 180° they are known as supplementary angles.

According to the question

⇛x + 63° = 180°

⇛x = 180° - 63° [Subtract]

⇛x = 117°

Supplement angle is 117°

If the sum of the measures of two angles is 90° they are known as complementary angles.

According to the question

⇛x + 40° = 90°

⇛x = 90° - 40° [Subtract]

⇛x = 50°

Complement angle is 50°

If the sum of the measures of two angles is 180° they are known as supplementary angles.

According to the question

⇨x + 63° = 180°

⇨x = 180° - 63° [Subtract]

⇨x = 117°

Supplement angle is 117°

Answer:

Baba

Step-by-step explanation:

Booey

Answer:

I think that the answer is 5

Answer:

ku=a

Step-by-step explanation:

We are given

[tex]u = \frac{a}{k} [/tex]

and we need to solve for a. First let multiply k by both sides to isolate a.

[tex]ku = a[/tex]

Answer:

96 pi

Step-by-step explanation:

The formula for the volume of a cone is V=pi*r^2*h/3 the radius is 4 and the height is 18 plug in those values into the equation to get V=pi*16*6 16*=96 so the answer is 96 pi.

Answer:

C

Step-by-step explanation:

Answer:

820

Step-by-step explanation:

41.2 * 19.8 = 41 *20 = 820

41.2

In this tenth value is 2 which is less than 5. So ignore it and write the whole number alone. 41

19.8

In this tenth value is 8 awhich greater than 5. So add 1 to whole part and write.

19+1 = 20

Answer:

$28.5

Step-by-step explanation:

Answer:

If you want to turn a percentage into a fraction divide by 100:

20%/100 = 0.2

0.2*16 = 3.2$

and if you want to turn a decimal into a fraction multiply by 100.

His discounted price will be 3.2$.

Have a nice day! :-)

and if you have questions please ask!

Percentage is the part of a whole given as a fraction of the hundred. The discounted price of the CD is $12.8.

Andrew has a coupon for 20 % off of the price of any CD.

The price of the CD purchased by the Andrew is $16.

Percentage is the part of a whole given as a fraction of the hundred.

As the Andrew has a coupon of 20 percent, the 20 percent will be off whatever he buys. Now the discount price for the $16 priced CD is equal to the 20 percent of the 16. Thus the discount is,

[tex]d=\dfrac{16\times20}{100} \\ [/tex]

[tex]d=3.2[/tex]

Thus the discount on the CD is 3.2.

Now the discounted price of the CD is equal to the difference of the price of the CD and the discount. Thus the discounted price of the CD is,

[tex]P=16-3.2[/tex]

[tex]P=12.8[/tex]

Thus the discounted price of the CD is $12.8.

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Answer:

4

Step-by-step explanation:

4 because 4^2 = 16.

Answer:

13. 1

14. 42

15. 65

Step-by-step explanation:

13.

If the average of two numbers is 1, then the sum of those two numbers is 2. As 2*1 is 2, and the average is found by dividing the sum by the amount of numbers.

Only one number is an integer and has a reciprocal that is an integer, the number being 1.

1/1 = 1

1/1 = 1

Average:

1+1 = 2

2/1 = 1

Therefore the answer is 1.

14.

If we multiply everything by 7x, we'd get

7 + x = 49

subtract 7 on both sides

x = 42

15.

If

pg = 50 and gr = 15

then

pg + gr = 65

factoring that would give you

g(p+r) = 65

I can't see 16 but good luck!

9514 1404 393

Answer:

  integers: 3, -5, 0

  non-integers: -2.5, 1/2, 8.1

Step-by-step explanation:

A non-integer is any real number with a non-zero fractional part.

  integers: 3, -5, 0

  non-integers: -2.5, 1/2, 8.1

Answer:

integers: 3,-5,

not integers: -2.5,1/2,8.1

Step-by-step explanation:



Answer:

WX=10; VW=22; WY=20; VX=32; WZ=30;VY=42

Step-by-step explanation:

1)WX=XY=XZ/2=20/2=10

2)VW=VZ-WX-XY-YZ=VZ-3*WX=52-3*10=52-30=22

3)WY=WX+XY=2*WX=2*10=20

4)VX=VW+WX=22+10=32

5)WZ=WX+XY+YZ=3*WX=3*10=30

6)VY=VZ-YZ=52-10=42

The points V, W, X, Y and Z are collinear. The indicated lengths are

[tex]WX=10\\VW=22\\WY=20\\VX=32\\WZ=30\\VY=42[/tex]

Given :

points V, W, X, Y and Z are collinear, VZ= 52, XZ =20, and WX=XY=YZ

Lets make diagram using the given information

The diagram is attached below

XY=YZ

XZ=20, so [tex]XY+YZ=20\\Both XY and YZ are same\\XY+XY=20\\2XY=20\\Divide \; by \; 2\\XY=10[/tex]

[tex]WX=XY=YZ \\XY=10\\WY=10\\YZ=10\\[/tex]

Now we find out VW

[tex]VW+WX+XY+YZ=52\\VW+10+10+10=52\\VW+30=52\\Subtract \; 30\\VW=52-30\\VW=22[/tex]

Now we find the indicated length

[tex]WX =10[/tex]

[tex]VW=22\\WY=WX+XY=10+10=20\\VX=VW+WX=22+10=32\\WZ=WX+XY+YZ=10+10+10=30\\VY=VW+WX+XY=22+10+10=42[/tex]

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Answer:

Perpendicular bisector

Step-by-step explanation:

The construction is of a perpendicular bisector, because the line in bisected and the angle formed by the bisector is a right angle.

Answer:

£24.26 (rounded to 2dp) or full answ £24.255

Step-by-step explanation:

find 1% of 22.05= 0.2205

0.2205*10=2.205(10%)

add this to the 90%(£22.05+2.025)= 24.255

                                                          =24.26(rounded to 2dp)

The price of the lamp before the reduction will be £24.5.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The sale price of the lamp = £22.05

This is a 10% reduction of the normal price.

Now,

Let the price of the lamp before the reduction = x

So, We can formulate;

⇒ x - (10% of x) = £22.05

⇒ x - 10x/100 = £22.05

⇒ (100x - 10x)/100 = £22.05

⇒ 90x / 100 = £22.05

⇒ 90x = £22.05 x 100

⇒ 90x = £2205

⇒ x = £2205/90

⇒ x = £24.5

Thus, The price of the lamp before the reduction will be £24.5.

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Answer:

- first option is incorrect

- second option is correct

- third option is correct

- fourth option is correct

Step-by-step explanation:

grammarly xoxo

We know

[tex]\boxed{\sf \star TSA_{(Cylinder)}=2\pi r(h+r)}[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=2\times \dfrac{22}{7}\times 4(8+4)[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=\dfrac{176}{7}(12)[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=\dfrac{2112}{7}[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=301.7cm^2[/tex]

Now

[tex]\\ \sf\longmapsto TSA_{(New\:Cylinder)}=2\times \dfrac{22}{7}\times 8(16+8)[/tex]

[tex]\\ \sf\longmapsto TSA_{(New\:Cylinder)}=\dfrac{352}{7}(24)[/tex]

[tex]\\ \sf\longmapsto TSA_{(New\:Cylinder)}=\dfrac{8448}{7}[/tex]

[tex]\\ \sf\longmapsto TSA_{(New\:Cylinder)}=1204.7cm^2[/tex]

So

[tex]\\ \sf\longmapsto \dfrac{TSA_{(New\:Cylinder)}}{TSA_{(Old\:Cylinder)}}=\dfrac{1204.7}{301.7}[/tex]

[tex]\\ \sf\longmapsto \dfrac{TSA_{(New\:Cylinder)}}{TSA_{(Old\:Cylinder)}}=\dfrac{4}{1}[/tex]

[tex]\\ \sf\longmapsto\underline{\boxed{\bf{ {TSA_{(New\:Cylinder)}}:{TSA_{(Old\:Cylinder)}}=4:1}}}[/tex]

Hence our correct option is Option C

Answer:

x+27

Step-by-step explanation:

2(2x+11)-(-5+3x)

Distribute

4x +22 +5-3x

Combine like terms

x+27

Answer:

x + 27

Step-by-step explanation:

Given

2(2x + 11) - (- 5 + 3x) ← distribute both parenthesis

= 4x + 22 + 5 - 3x ← collect like terms

= x + 27

Answer:

12

Step-by-step explanation:

3a+2b

Let a =2 and b=3

3(2) + 2(3)

6 + 6

12

Answer:

B,D, and E

Step-by-step explanation:

Yes

Answer:

96

Step-by-step explanation:

[tex]\frac{24*64}{4*4}=96\\[/tex]

or

[tex]\frac{24}{4}=6, \frac{64}{4}=16\\6*16=96[/tex]

The minimum number of tiles that will be needed to completely cover the countertop to its edges is 96.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

The number of tiles will be calculated by calculating the area of the rectangular kitchen and the area of a tile then dividing the whole area by the area of a tile.

Area of kitchen,

A(k) = 64 x 24 = 1536 Square inches

Area of a tile,

A(T) = 4 x 4 = 16 square inches.

Divide the area of the kitchen by the area of a tile.

N = 1536 / 16 = 96 tiles

Therefore, the minimum number of tiles that will be needed to completely cover the countertop to its edges is 96.

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