Simplify...................​

Answer:

The answer is option c

Step-by-step explanation:

Product means we have to multiply

[tex](3x - 4y) \times ( - 2x + 5y - 6) \\ 3x( - 2x + 5y - 6) - 4y( - 2x + 5y - 6) \\ - 6x {}^{2} + 15xy - 18x + 8xy - 20y { }^{2} + 24[/tex]

You then group like terms

[tex] - 6x {}^{2} + 15xy + 18xy - 20y {}^{2} + 24 \\ 6x {}^{2} + 23xy - 20y {}^{2} + 24[/tex]

And there's your answer

Answer: 54

Step-by-step explanation:

Total votes: 240

Votes for the winner: x

Votes for candidate 1: x - 8

Votes for candidate 2: x - 13

Votes for candidate 3: x - 15

Equation to find the amount of votes of the winner (x) is:

240 = x +  x - 8 + x - 13 + x - 15

Combine x and x to get 2x.

240=2x−8+x−13+x−15

Combine 2x and x to get 3x.

240=3x−8−13+x−15

Subtract 13 from −8 to get −21.

240=3x−21+x−15

Combine 3x and x to get 4x.

240=4x−21−15

Subtract 15 from −21 to get −36.

240=4x−36

Swap sides so that all variable terms are on the left hand side.

4x−36=240

Add 36 to both sides.

4x=240+36

Add 240 and 36 to get 276.

4x=276

Divide both sides by 4.

x= 4/276  

Divide 276 by 4 to get 69.

x=69

Votes for the winner: 69

Votes for candidate 1: 69 - 8 = 61

Votes for candidate 2: 69 - 13 = 56

Votes for candidate 3: 69 - 15 = 54

The candidate that had the lowest number of votes received 54 votes.

Answer:

6580 approx

Step-by-step explanation:

Given data

Population= 5000

Rate= 4%

Time = 7years

We are going to apply the compound interest formula

A=P(1+r)^t

substitute

A= 5000(1+0.04)^7

A= 5000(1.04)^7

A=5000*1.3159

A= 6579.5

Hence the population after 7 years is 6580 approx

Answer:

x = - [tex]\frac{3}{2}[/tex], x = 3

Step-by-step explanation:

To find the zeros let p(x) = 0 , that is

2x² - 3x - 9 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 9 = - 18 and sum = - 3

The factors are - 6 and + 3

Use these factors to split the x- term

2x² - 6x + 3x - 9 = 0 ( factor the first/second and third/fourth terms)

2x(x - 3) + 3(x - 3) = 0 ← factor out (x - 3) from each term

(x - 3)(2x + 3) = 0

Equate each factor to zero and solve for x

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]

x - 3 = 0 ⇒ x = 3

Answer:

15

15

10

Step-by-step explanation:

3/8 x £40 = £15 for Sarah

3/8 x £40 = £15 for Fiona

2/8 x£40 = £10 for david

Answer:

Sarah gets [tex]\frac{3}{8}[/tex] × 40 = £15

Fiona gets [tex]\frac{3}{8}[/tex] × 40 = £15

David gets [tex]\frac{2}{8}[/tex] × 40 = £10

Step-by-step explanation:

If £40 is shared between three person in the ratio of 3:3:2 then calculate the amount each person gets.

To find the amount each person gets we are goin to change the ratios of each person into fractions.

To turn to fraction add all portions in the ratio:

3 + 3 + 2 = 8 (this will be the denominator for all proportions.)

Therefore Sarah gets [tex]\frac{3}{8}[/tex], Fiona gets [tex]\frac{3}{8}[/tex] and David gets [tex]\frac{2}{8}[/tex].

Sarah gets [tex]\frac{3}{8}[/tex] × 40 = £15

Fiona gets [tex]\frac{3}{8}[/tex] × 40 = £15

David gets [tex]\frac{2}{8}[/tex] × 40 = £10

Answer: 12 stars

Step-by-step explanation:

First find out the number of stars he gained by scoring goals:

= Number of goals scored * Stars if goal is scored

= 5 * 3

= 15 stars

Then find out the number of stars he is to lose by missing the goal:

= No. of goals missed * stars if goal missed

= 4 * 3/4 stars

= 3 stars

The total number of stars he has are:

= Stars gained - Stars lost

= 15 - 3

= 12 stars

Answer:

[tex]x = 51^o[/tex]

Step-by-step explanation:

Given

Intersecting lines

Required

Find x

To do this, we make use of:

[tex]x + 23^o + 2x + 4^o = 180^o[/tex] --- angle on a straight line

Collect like terms

[tex]x + 2x = 180^o - 4^o - 23^o[/tex]

[tex]3x = 153^o[/tex]

Divide both sides by 3

[tex]x = 51^o[/tex]

Answer:

factor of 6 and 5

Step-by-step explanation:

Answer:

The slope of the line perpendicular is -3/2.

Step-by-step explanation:

y-2/3x=-4

y = 2/3x - 4

The slope of the line perpendicular is -3/2.

Answer:

0.01666666666

Answer:

60

Step-by-step explanation:

if you flip it around from "0.15 divided by 9" and turn it into "9 divided by 0.15" you will the answer 60.

(hopes this helps )

Answer:

81x^2 sq cm

Step-by-step explanation:

Area formula: length × width

Squares are the same size on all 4 sides, which means because 1 side is 9x cm, all other sides will also be 9x cm.

Area: 9x cm × 9x cm = 81x^2 cm^2

sq = ^2

Answer:

to put in the value of any variable in this equation(for example 2 ) we will write it as

g(2) = 4(2) - 4(2)^2 + 7(2) -8

g(2) = 8 - 16 + 14 - 8

g(2) = -2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

ans is c we can clearly see there in this triangle c only describes it

Answer:

x=2

Step-by-step explanation:

The x is known which means that it is the one that is parallel to the y axis.

Answer:

x = 2

Step-by-step explanation:

The y axis is a vertical line

x = 2 would create a vertical line making it parallel with the y axis

Answer:

D. (0, 2); minimum

Step-by-step explanation:

Use the formula  

x = − b/ 2 a

to find the maximum and minimum.

( 0 , 2 )

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( 0 , 2 )

Focus:  

( 0 , 9 /4 )

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

7

4

x

y

−

2

6

−

1

3

0

2

1

3

2

6

Rewrite in vertex form and use this form to find the vertex  

( h , k )

.

( 0 , 2 )

Answer:

slope=2

Step-by-step explanation:

im guezssing

I'll do the first one (on the left) to get you started.

Pick any two rows you want from the table. I'll pick the first and third rows.

These rows say that (2,-1) and (4,4) are points on the line.

Use the slope formula to get...

m = (y2-y1)/(x2-x1)

m = (4-(-1))/(4-2)

m = (4+1)/(4-2)

m = 5/2 is the slope

Answer:

Step-by-step explanation:

Answer:322.64 (I think)

Step-by-step explanation:

550-227.36=322.64

Answer:

what the other person said here

Answer:

yes you are

Step-by-step explanation:

Answer:

x = 32

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+18) * 18 = 30^2

(x+18) * 18 = 900

Divide each side by 18

(x+18) * 18/18 = 900/18

(x+18)  = 50

Subtract 18 from each side

x+18-18 = 50-18

x=32

Answer:

50

Step-by-step explanation:

tangent-secant theorem

Answer:

5 is 35 and 6 is 50

Step-by-step explanation:

To solve 5, you need to know how many degrees is the line, which is 180 because lines are 180 degrees. You then subtract 110 from 180 which equals to 70. What you have left now is 2k. A number times 2 will equal to 70, so k=35.

For 6, if you ever see two lines intersecting each other, it means that it is 360 degrees. We already have one angle, which is 120. The other angle is d+70 degrees, and any angle that is reflecting the other angle will have the same value. So, d equals 50

(sorry if you still can't understand it I'm not good at English

Answer:k=10

Step-by-step explanation:

Step-by-step explanation:

[tex]\sqrt{2} = 1,414213562 = 1,41\\[/tex]     ( with calculator )

[tex]\sqrt{3} = 1,732050808 = 1,73[/tex]     ( with calculator )

Sow , you need 2 irrationale numbers between 1,41 and 1,73

What is a irrationale number ?

Irrational number, any real number that cannot be expressed as the quotient of two integers. ... For example, there is no number among integers and fractions that equals the square root of 2.

An example : 1.234343 , [tex]\sqrt{9\\}[/tex] , π ...

In the file you can find some more info.

Sow we can say 1,583909 and 1,683738 is a Irrationale number between

1,41 and 1,73 = between [tex]\sqrt{2}[/tex] and [tex]\sqrt{3}[/tex]

if there is any mistake , pls call me.

Regards The Gentlemen

Answer:

Divide the each part and get the circle 360 and triangle 180

I don't know what the question is but I'm pretty sure the answer is 5.5.

X = 5.5 or the price of each cake is 5.5$

Answer:

375

Step-by-step explanation:

Lily paid $750 each month for 36 months to pay off her car loan.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To calculate the amount that Lily paid each month, we can divide the total cost of the car by the number of monthly payments:

So,

Amount paid each month

= Total cost / Number of payments

In this case,

The total cost is $13,500 and the number of payments is 36:

Amount paid each month = $13,500 / 36

We can simplify this fraction by dividing both the numerator and the denominator by the greatest common factor of 13,500 and 36, which is 18:

Amount paid each month = $750

Therefore,

Lily paid $750 each month for 36 months to pay off her car loan.

Learn more about expressions here:

https://brainly.com/question/3118662

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