Which of the following graphs is represented by the linear equation: y
2
-2 +1
3

Answer:

3.374

Step-by-step explanation:

[tex]\mathrm{Write\:the\:numbers\:one\:under\:the\:other,\:line\:up\:the\:decimal\:points.}[/tex]

[tex]\mathrm{Add\:trailing\:zeroes\:so\:the\:numbers\:have\:the\:same\:length.}[/tex]

[tex]\begin{matrix}\:\:&5&.&3&1&6\\ -&1&.&9&4&2\end{matrix}[/tex]

[tex]\mathrm{Subtract\:each\:column\:of\:digits,\:starting\:from\:the\:right\:and\:working\:left}[/tex]

[tex]\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:6-2=4[/tex]

[tex]\frac{\begin{matrix}\:\:&5&.&3&1&\textbf{6}\\ -&1&.&9&4&\textbf{2}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\:\:&\textbf{4}\end{matrix}}[/tex]

[tex]\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}[/tex]

[tex]\frac{\begin{matrix}\:\:&5&.&3&\textbf{1}&6\\ -&1&.&9&\textbf{4}&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\textbf{\:\:}&4\end{matrix}}[/tex]

[tex]\mathrm{The\:bottom\:number\:is\:larger\:than\:the\:upper\:number.\:\:Try\:to\:'borrow'\:a\:digit\:from\:the\:left.}[/tex]

[tex]\mathrm{The\:top\:digit\:is\:not\:bigger\:than\:the\:bottom\:one.\:\:Try\:to\:'borrow'\:a\:digit\:from\:the\:left.}[/tex]

[tex]\frac{\begin{matrix}\:\:&5&.&\textbf{3}&1&6\\ -&1&.&\textbf{9}&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{\:\:}&\:\:&4\end{matrix}}[/tex]

[tex]\mathrm{Borrow\:}1\mathrm{\:from\:}5\mathrm{.\:\:The\:remainder\:is\:}4[/tex]

[tex]\frac{\begin{matrix}\:\:&\textbf{4}&\:\:&10&\:\:&\:\:\\ \:\:&\textbf{\linethrough{5}}&.&3&1&6\\ -&\textbf{1}&.&9&4&2\end{matrix}}{\begin{matrix}\:\:&\textbf{\:\:}&\:\:&\:\:&\:\:&4\end{matrix}}[/tex]

[tex]\mathrm{Add\:}1\mathrm{\:ten\:to\:}3:\quad \:10+3=13[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\:\:&\textbf{13}&\:\:&\:\:\\ \:\:&\linethrough{5}&.&\textbf{\linethrough{3}}&1&6\\ -&1&.&\textbf{9}&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{\:\:}&\:\:&4\end{matrix}}[/tex]

[tex]\mathrm{Borrow\:}1\mathrm{\:from\:}13\mathrm{.\:\:The\:remainder\:is\:}12[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\:\:&\textbf{12}&10&\:\:\\ \:\:&\linethrough{5}&.&\textbf{\linethrough{13}}&1&6\\ -&1&.&\textbf{9}&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{\:\:}&\:\:&4\end{matrix}}[/tex]

[tex]\mathrm{Add\:}1\mathrm{\:ten\:to\:}1:\quad \:10+1=11[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\:\:&12&\textbf{11}&\:\:\\ \:\:&\linethrough{5}&.&\linethrough{13}&\textbf{\linethrough{1}}&6\\ -&1&.&9&\textbf{4}&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\textbf{\:\:}&4\end{matrix}}[/tex]

[tex]\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:11-4=7[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\:\:&12&\textbf{11}&\:\:\\ \:\:&\linethrough{5}&.&\linethrough{13}&\textbf{\linethrough{1}}&6\\ -&1&.&9&\textbf{4}&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\textbf{7}&4\end{matrix}}[/tex]

[tex]\mathrm{Place\:the\:decimal\:point\:in\:the\:answer\:directly\:below\:the\:decimal\:points\:in\:the\:terms}[/tex]

[tex]\frac{\begin{matrix}\:\:&4&\textbf{\:\:}&12&11&\:\:\\ \:\:&\linethrough{5}&\textbf{.}&\linethrough{13}&\linethrough{1}&6\\ -&1&\textbf{.}&9&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\textbf{.}&3&7&4\end{matrix}}[/tex]

[tex]\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:4-1=3[/tex]

[tex]\frac{\begin{matrix}\:\:&\textbf{4}&\:\:&12&11&\:\:\\ \:\:&\textbf{\linethrough{5}}&.&\linethrough{13}&\linethrough{1}&6\\ -&\textbf{1}&.&9&4&2\end{matrix}}{\begin{matrix}\:\:&\textbf{3}&.&3&7&4\end{matrix}}[/tex]

[tex]=3.374[/tex]

Hence the correct answer is 3.374

Answer:

it's by "Say, can you see

By"

Answer:

Well

If we choose plan B then it would be better. 15 cents a messages would be 3 messages in total if we choose plan b.

Step-by-step explanation:

Answer:

If the current population is 850,000. Next year it will be 935,000, and the year following that it will be 1,028,500. This is a linear growth (its growth has a common ratio).

Answer:

1,028,500 people

Step-by-step explanation:

When finding the percentage of a number you moved the decimal place over twice and then multiply.

850,000 x 0.10 = 85,000

10% of 850,000 is 85,000

I then found the population of the 1st year

85,000 + 850,000 = 935,000

then I found 10% of that 1st year

935,000 x 0.10 = 93,500

then added 85,000 and 93,500 to find the population growth in the 2 years

85,000 + 93,500 = 178,500

Then added the population growth to the original population

178,500 + 850,000 = 1,028,500 people

(I'm sorry, my last answer was wrong)

Hope this helps! :)

The interest rate in during the initial period is given from which the

monthly payment is calculated to be $1682.94

Response (approximate value):

The type of loan Jackie obtains is an Adjustable Rate Mortgage, ARM,

loan, which is a 4/2 ARM

Therefore;

The introductory interest rate of 5% is fixed for the first 4 years, and will

be adjusted every 2 years after the first four years.

[tex]Initial \ monthly \ payment, \ M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}[/tex]

Where;

M = The monthly payment during the initial period

P = The amount on loan = $313,500

r = 5% = 0.05

n = 30 × 12 = 360

Which gives;

Learn more about mortgage payment calculations here:

https://brainly.com/question/2151755

Answer:

dough for one bath x number of batches = total amount of dough

Step-by-step explanation:

[tex]\textit{Logarithm Change of Base Rule} \\\\ \log_a b\implies \cfrac{\log_c b}{\log_c a}\qquad \qquad c= \begin{array}{llll} \textit{common base for }\\ \textit{numerator and}\\ denominator \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_5(18)\implies \cfrac{\log(18)}{\log(5)}\implies \cfrac{\log(2\cdot 3\cdot 3)}{\log(5)}\implies \cfrac{\log(2)+\log(3)+\log(3)}{\log(5)}[/tex]

[tex]\begin{cases} \log(3)=a\\ \log(2)=b\\ \log(5)=c \end{cases}\implies \cfrac{b+a+a}{c}\implies \cfrac{b+2a}{c} \\\\[-0.35em] ~\dotfill\\\\ \log_5^2(18)\implies [\log_5(18)]^2\implies \left( \cfrac{b+2a}{c} \right)^2\implies \cfrac{(b+2a)^2}{c^2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{b^2+4ab+4a^2}{c^2}~\hfill[/tex]

Answer/Step-by-step explanation:

72/12=6

6x5=30

30 points.

Answer:

Frank is correct, because (see explanation below)

Step-by-step explanation:

Let's separate into two cases:

Case 1: Blue marble

[tex]\frac{6}{7}[/tex] (There are 6 blues in the bag and 7 marbles in total in the bag, we put the 6 in the numerator because we want a blue marble first.)

Case 2: Green marble

[tex]\frac{1}{6}[/tex] (There is only 1 green in the bag and 6 marbles remaining in the bag, because we already took 1 blue out in Case 1. We put 1 in the numerator because we want the green marbloe only.)

Multiply Case 1 with Case 2 because they are a combination:

[tex]\frac{6}{7} * \frac{1}{6} = \frac{1}{7}[/tex]

Therefore Frank is correct.

Answer:

40 degrees

Step-by-step explanation:

This is a 40 degree angle

Hope this helps!

Answer:

a translation moves a thing up and down or left and right.

Step-by-step explanation:

so true?

Answer:

True

Step-by-step explanation:

A translation means you are moving a figure in some direction(s). This can mean both vertically and horizontally.

Answer:

option a please mark me as brainlist please

50.26 in.

12 + 5 + 5 + (3.14 x 9)

Answer:

Step-by-step explanation:

Simplified expression:

[tex]3x^3 -x^3 +5x^3-9x^3[/tex]

[tex]2x^3 +5x^3-9x^3[/tex]

[tex]7x^3 -9x^3[/tex]

[tex]-2x^3[/tex]

If x = -1, the value of the expression is:

[tex]-2x^3[/tex]

[tex]-2(-1^3)[/tex]

[tex]-2(-1)[/tex]

[tex]2[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

y=3x+6

Step-by-step explanation:

Answer:

6 4/11

Step-by-step explanation:

Answer:

I think it's 15 students

Step-by-step explanation:

i think since 150 is half of 300 so in each class there should also be half of the people wearing red

Answer:

150 of 300, 150 is 50 % of 300 so 300/30 = 1 , so I think 15 of the students should be wearing red

Step-by-step explanation:

Slope of line passing through two points (x1,y1 ) and (x2 ,y2 ) is given by

m= y2-y1/x2 −x1

Since the line passes through (−2,5) and (6,4)

We have

Slope(m)= 4-5/6−(−2) =− 1/8

Answer:

see below

Step-by-step explanation:

Is there an operator (+, -, x, /) missing between 100 and 15?

Assume the expression is

=b4*10015/3

The order of operations says that multiplications and divisions are done as they occur from left to right.

The number in cell b4 will be multiplied by 10015, then that result will be divided by 3.

If the expression is supposed to be  =b4*100*15/3, then the order is

cell b4 is multiplied by 100, then that is multiplied by 15, then THAT is divided by 3.

Answer: 11 to the power of three

Answer

3 to the power of 11

Step-by-step explanation:

Answer:

20% of $68 is $13.60

Step-by-step explanation:

 (20/100)x68

(20x68)/100 

1360/100 = 13.6

Let p(x) be any polynomial of degree greater than or equal to one and let 'a' be any real number. If a polynomial p(x) is divided by x - a then the remainder is p(a). Hence by the remainder theorem, 0 is the remainder when x3 + 3x2 + 3x + 1 is divided by x + 1.

Answer:

D. 20 ÷ 6 − 4

E. 1/6(20 − 24)

F. (20−24) ÷ 6

Step-by-step explanation:

6(x + 4) = 20

6(x) + 6(4) = 20

6x + 24 = 20

     - 24  - 24

6x = -4

/6    /6

x = -4/6 or x = -2/3

D. 20 ÷ 6 − 4

20/6 - 4

20/6 - 24/6

-4/6 = -2/3

E. 1/6(20 − 24)

1/6(-4)

-4/6 = -2/3

F. (20 − 24) ÷ 6

- 4 / 6

-4/6 = -2/3

Hope this helps!

Answer:

I did this. But there's only 5 points . But it's ok

Solution:

Note that:

Substituting the values into the equation:

This means that Jack has 99 + b buttons.

Option D

Now we can apply quadratic formula to find two zeros

Answer:

[tex]\textsf{D.}\quad5x^2+8x-12=2x^2-x[/tex]

Step-by-step explanation:

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

A linear equation in the form [tex]y=mx+b[/tex] cannot be solved using the quadratic formula, as it is not a quadratic equation.

[tex]\textsf{A.}\quad 4x + 2 = 0[/tex]

This is a linear equation and therefore cannot be solved using the quadratic formula.

[tex]\begin{aligned}\textsf{B.}\quad 3x^2-4&=3x^2-4x\\\implies -4&=-4x\end{aligned}[/tex]

This is a linear equation and therefore cannot be solved using the quadratic formula.

[tex]\textsf{C.}\quad 2x=32[/tex]

This is a linear equation and therefore cannot be solved using the quadratic formula.

[tex]\textsf{D.}\quad5x^2+8x-12=2x^2-x[/tex]

[tex]\implies 3x^2+9x-12=0[/tex]

Therefore, this is a quadratic equation in the form [tex]ax^2+bx+c=0[/tex] and therefore can be solved quadratic formula.

a = 3, b = 9 and c = -12

Inputting these into the quadratic formula and solving for x:

[tex]\begin{aligned}\implies x &=\dfrac{-(9) \pm \sqrt{(9)^2-4(3)(-12)}}{2(3)}\\\\x& = \dfrac{-9 \pm \sqrt{225}}{6}\\\\x& = \dfrac{-9 \pm 15}{6}\\\\x&=\dfrac{6}{6},\dfrac{-24}{6}\\\\x&=1, -4\end{aligned}[/tex]

Answer:

im not sure i got stuck here ;; but i started sort of

Step-by-step explanation:

The first step is to get the inner angles. I'll start with the one at 60 degrees and call it A and go counter clockwise

A flat angle is 180 and -60 makes it 120 = Angle A

180-100=80=B
180-20=160=C

Then when you're trying to calculate a figure with more than 4 corners, you're supposed to divide them into triangles. Now we have a hexagon and the total degrees is 720. And we know that we have 2 6x and they're the angles

Replace x and y with the given values and solve the equations:

A) 3(5) + 2 = 17

B) 2(5)^2 = 50

C) (5-2)^2 = 9

Answer:

just replace the x and y in your problems with the given respective integers.

Step-by-step explanation:

x is 5, y is 2

a.

3x+y = 3×5 +2 = 15 + 2 = 17

b.

2x² = 2 × 5² = 2 × 25 = 50

c.

(x-y)² = (5-2)² = (3)² = 9

Answer: 200% increase

Step-by-step explanation:

Being an increase from 12inches to 36inches, we will calculate the percentage increase.

%increase = final length -initial length/initial length × 100%

Initial length = 12inches

Final length = 36inches

%increase = 36-12/12 × 100%

%increase = 24/12 × 100%

%increase = 200%

Answer:

200% increase

Step-by-step explanation:

percent change = [(difference between initial and final value) ÷ initial value] x 100

⇒ percent change = [(36 - 12) ÷ 12] x 100 = 200% increase