Write the equation of the line parallel to x = 7 which passes through (0, 1).

Answer:

-8x-9y

Step-by-step explanation:

Hey There!

So basically this problem is asking you to simplify this expression using distributive property

The first step would be to distribute 7 into what is inside the parenthesis (2x and -3y)

2x*7=14x

-3y*7=-21y

so now we have 14x-21y + 4(3y-5x)

the next step would be to distribute 4 to what is inside the parenthesis (3y and -5x)

4*3y=12y

4*-5x=-20x

so now we have 12x-21y-20x+12y

the final step is to combine like terms

12x-20x=-8x

-21y+12y=-9y

so the simplified version of 7(2x - 3y) + 4(3y - 5x) is -8x-9y

Answer:

14x-21y+12y-20x. 14x-20x+12y-21y. -6x-9y

Answer:

The common factor is 5x.

The factored polynomial is: [tex]5x(7x - 2)[/tex]

Step-by-step explanation:

Factor of the numbers:

The common factor of the numbers 5, 30 and 10 is 5, as it is the greater common divisor of them, as found below:

5 - 30 - 10|5

1 - 6 - 2

Factor of the exponents:

Between [tex]x^2, x^2[/tex] and [tex]x[/tex], the common factor is the x with the lowest exponent. So x

Common factor

Number multiplied by exponents, so 5x.

Factoring the polynomial:

[tex]5x^2 + 30x^2 - 10x = 5x(\frac{5x^2}{5x} + \frac{30x^2}{5x} - \frac{10x}{5x}) = 5x(x + 6x - 2) = 5x(7x - 2)[/tex]

The factored polynomial is: [tex]5x(7x - 2)[/tex]

Answer: einstein

Step-by-step explanation:

Answer:

127x1

Step-by-step explanation:

127 is prime, so there are only 2 factors

The population of the town after 5 years will be 147089 (approx).

Step-by-step explanation:

The exponential growth equation is given by :-

f(x)=A(1+r)^x...(*)

, where A = initial population , r= rate of growth ( in decimal) and x is time.

As per given , we have

A= 13000

r=2.5%=0.025

x= 5 years

Using (*), the population of the town after 5 years would be :

f(5)=13000(1+0.025)^5=13000(1.025)^5\\\\=13000(1.13140821289)=14708.306767614708.3067676\approx147089

Hence, the population of the town after 5 years will be 147089 (approx).

Answer:

[tex]Q(x) = x^3 + 4x^2 - 10x + 12[/tex]

Step-by-step explanation:

Complex numbers:

The most important relation when dealing with complex numbers is that:

[tex]i^2 = -1[/tex]

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Q has degree 3 and zeros −6 and 1 + i.

Complex roots are always complex-conjugate, which means that if 1 + i is a root, 1 - i is also a root.

I am going to say that the leading coefficient is 1. So

[tex]Q(x) = (x - (-6))(x - (1 + i))(x - (1 - i)) = (x + 6)(x^2 - x(1-i) - x(1+i) + (1+i)(1-i)) = (x + 6)(x^2 - 2x + 1 - i^2) = (x + 6)(x^2 - 2x + 1 - (-1)) = (x + 6)(x^2 - 2x + 2) = x^3 + 6x^2 - 2x^2 - 12x + 2x + 12 = x^3 + 4x^2 - 10x + 12[/tex]

The polynomial is:

[tex]Q(x) = x^3 + 4x^2 - 10x + 12[/tex]

Answer:

Mark should have rounded 271 to 300 and rounded 582 to 600: 300 + 500 = 900

Step-by-step explanation:

Rounding to the nearest hundred means rounding 271 to 300 and 550 to 600.

Think of it as

271 changes to 0.271

The 7 would be in the hundredths place.

7 is greater than 5; therefore, round up.

Now you have 0.3, change this back to it's normal decimal places to get 300.

550 changes to 0.550

Where the second 5 would be in the hundredths place.

5 is equal to 5; therefore, round up.

Now you have 0.6, change this back to it's normal decimal places to get 600.

Mark rounded to the nearest place which is not the same.

Answer:

im sorry i dont know

Step-by-step explanation:

Answer:

uh ok just give me the link to the question and I will see if I can help you :)

Step-by-step explanation:

Answer:

SUre.

Step-by-step explanation:

Answer:

The formula is A = πr²

Answer:pi r square

Step-by-step explanation:

Answer: She has 25 friends. If you count by 3 up to 75 (7 gum left) and if you count there is 25 numbers.

Step-by-step explanation:

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75

Answer: 4311/9900 or 479/1100

Step-by-step explanation:

Okie so in order to do this, we need to get rid of the repeating part of the decimal

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

Right now we have x = 0.435454545454...

If we multiply this by 100, we get

100x = 43.545454545454

And if we multiply by 10000 we get

10000x = 4354.5454545454

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

Subtract the two equations

10000x = 4354.5454545454

100x = 43.545454545454

------------------------------------------------- (notice: the repeating part will cancel out)

9900x = 4311

x = 4311/9900

If you simplify the fraction you get: 479/1100

The fraction that represents the repeating decimal is

[tex]\frac{479}{1100}[/tex]

Given :

A repeating decimal  [tex]0.4354545454...............[/tex]

there is bar at 54 , so 54 is repeating

We need to convert this decimal into fraction

54 is repeating so we multiply by 100

Let x= [tex]0.4354545454...............\\[/tex]

[tex]100x=43.54545454...............[/tex]

Now we subtract x from 100x

[tex]100x=43.54545454...............\\ x= 0.4354545454...............\\-----------------------------------------\\ 99x=43.11[/tex]

Now divide both side by 99

[tex]x=\frac{43.11}{99} \\[/tex]

multiply top and bottom by 100 to remove the decimal

[tex]x=\frac{4311}{9900} \\Divide \; top \; and \; bottom \; by 9\\x=\frac{479}{1100}[/tex]

Learn more :

brainly.com/question/15666599

Answer:

Step-by-step explanation:

the missing degree is a multiple of 360, so 0.

graph is like squiggly touching -1 at pi and touching 1 at 2 pi and so forth

Answer:

The area of the shape is 3m³ square centimetres.

Step-by-step explanation:

We know that the area of single square is m² cm².

There are m squares per row, so for the area of the row, we multiply that by m, giving us m³ cm².

Finally, we know that there are three rows, so we need to multiply that by three, giving a total area of 3m³ cm²

The singular is the one and only, so it's 35/100 simplify it= 7/20

So the multiplier is the first digit of the fraction 7/20

Answer:

B

Step-by-step explanation:

[z^4/6²]^-3 = z^-12/6^-6 = 6^6/z^12

Answer:

1st option will be the answer.

Answer:

Pls someone answer this i need it 2

Step-by-step explanation:

Answer:

D) 5.52

Step-by-step explanation:

[tex]\frac{AB}{BC} =\frac{DE}{EF} \\\\\frac{x}{2.3} =\frac{2.4}{1} \\\\x=5.52[/tex]

Answer: 5.52

Step-by-step explanation:

Answer:

meter

Step-by-step explanation:

Answer:

1 = 3

2 = 6

3 = 9

Step-by-step explanation:

for every # it is multiplied by 3 (ex. 7 • 3 = 21, 8 • 3 = 24, ect.)

therefore if it is multiplied by 3 each time

then 1 • 3 = 3

2 • 3 = 6

and 3 • 3 = 9

hope this helps :)

Answer:

10.6 i think

Step-by-step explanation:

i think it's 10.6 because 18.9-8.3=10.6

Answer:

The midsegment is 13.6

Step-by-step explanation:

To calculate the mid segment, find the average of the two bases.

[tex]\frac{8.3+18.9}{2} =\frac{68}{5}=13.6[/tex]

Answer:

x = 17+5-5

x=17

so this equation is wrong

Answer:

i think it might be the "units of the first rate are both/all distinct from that of the converted rate, but it still represents the same measurement."

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

(7x-9)(2x+2) = 35/14

98x - 126 = 70x + 70

28x = 196

x = 7

Answer: 28

Step-by-step explanation:

Let the number of balloons that she had last party be represented by x.

Since Mrs.Hines has 40 ballons for a party which was 12 more balloons than she had for her last party. The number of ballons had last party will be formed into an equation as:

x + 12 = 40

Collect like terms

x = 40 - 12

x = 28

She had 28 balloons last year

Answer:

3 = 2

5 = 4

6 = 5

Step-by-step explanation:

r the second # = p the first # - 1

Answer:

3 - 1 = 2

4 - 1 = 3

5 - 1 = 4

6 - 1 = 5

I think this is the answer.

Step-by-step explanation: