What is the equation of the following graph in vertex form?
A) y = (x - 1)^2
B) y = (x - 1)^2 + 1
C) y = (x + 1)^2 - 1
D) y = (x + 1)^2​

Answer:

hmmmmmmmmmm thats a tuff one

Answer:

-99

Step-by-step explanation:

First, let's find an equation to use to make things easier.

So, as we can see, the numbers go down 3 every time and we start at 27, so, the first term is 27, that means that we need to find the number before 27, so we add 3 to 27 to get 30.

We can put the equation using y = mx + b, since that is the most appropriate formula to use.

y = -3x + 30

y = -3(1) + 30

y = -3 + 30

y = 27

y = -3x + 30

y = -3(2) + 30

y = -6 + 30

y = 24

So, this is a good equation to use. Now, we substitute 43 as x

y = -3x + 30

y = -3(43) + 30

y = -129 + 30

y = -99

Answer:

Used for Linear Graphs

Step-by-step explanation:

Y=mx = b

m represents the slope/gradient of the graph

b represents the y intercept

Answer:

f(-1) = -6

Step-by-step explanation:

[tex]f(x) = (x+2)^{2}-6[/tex] for [tex]x\neq -1[/tex]

[tex]f(x) = -6[/tex] for x = -1

f(-1) means x=-1, so we can't use the first expression.

Answer:

K=3

Step-by-step explanation:

I think so, if I’m wrong I’m sorry

Answer:

Step-by-step explanation:

[tex]\frac{9}{12}[/tex] = [tex]\frac{k}{k+4}[/tex]

12k = 9(k + 4)

12k - 9k = 36

3k = 36

k = 12

Answer:

y = P • (1+r)^t

Balance after 2 years: $3307.5

Step-by-step explanation:

To answer this question, we will use standard equation that calculates bank interests:

A = P(1+(r/n))^(n•t)

It might seem complicated, but let's explain:

A - amount of money after the time period

P - principal amount, the amount of money you started with

r - interest rate, in decimal numbers

n - number of times interest is being calculated per year

t - number of years

Since here, interest is annual, n = 1, so our equation is:

A = P(1+r)^t

P = $3000

r = 5% = 0.05

t = 2 years

A = 3000(1+0.05)^2

A = 3000•(1.05)^2

A = $3307.5

Answer:

1.2

Step-by-step explanation:

The cost per pound is $2.3.

Given that Bo is buying candy by the pound. For every 10 pounds, he pays $23.

We need to find the cost per pound,

So, we see that,

For 10 pounds he is paying $23,

We need to find the unit rate, so divide both by 10,

10/10 pound = $23/10

1 pound = $2.3

Hence the cost per pound is $2.3.

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Answer:

Step-by-step explanation:

y-2=3(x-5)

y-2=3x-15

Slope intercept form is y=3x-13

y-12= -2(x-3)

y-12= -2x+6

Slope intercept form is y= -2x+18

1.0915 x 10{9} <----Exponet

I hope it is helpful for you ....

Answer:16

Step-by-step explanation:if he scores 2 goals a game then all you have to do is minus 60 from 92 and divide it by two

92-60= 32goals needed

32/ 2 goals a game = 16 games

Answer:

Step-by-step explanation:

The prime factor of the product 75:

Factors of 75

1,3, 5, 15, 25, 75

or for the prime factorization of 75

3 x 5 x 5, which can also be written 75 = 3 x 5².

Hope this help :)

Answer:

3 × 5 × 5

I hope this helps!

The correct equation of the line that is perpendicular to 2x - 5y = 5 and passes through the point (2, -9) is y = (-5/2)x - 4.

Here,

Let's go through the steps again and find the correct equation for the line that is perpendicular to 2x - 5y = 5 and passes through the point (2, -9).

Step 1: Convert the given equation into slope-intercept form.

2x - 5y = 5

Subtract 2x from both sides:

-5y = -2x + 5

Now, divide everything by -5 to isolate y:

y = (2/5)x - 1

So, the slope of the given line is 2/5.

Step 2: Find the slope of the line perpendicular to the given line.

For two lines to be perpendicular, their slopes must be negative reciprocals of each other.

The negative reciprocal of 2/5 is -5/2.

Step 3: Write the equation of the line using the point-slope form.

Now that we have the slope (-5/2) and a point (2, -9), we can use the point-slope form of the linear equation:

[tex]y - y_1 = m(x - x_1)[/tex]

where m is the slope, and [tex](x_1, y_1)[/tex]is the given point.

Substitute m = -5/2 and [tex](x_1, y_1)[/tex] = (2, -9):

y - (-9) = (-5/2)(x - 2)

Simplify:

y + 9 = (-5/2)x + 5

Now, isolate y by subtracting 9 from both sides:

y = (-5/2)x + 5 - 9

y = (-5/2)x - 4

So, the correct equation of the line that is perpendicular to 2x - 5y = 5 and passes through the point (2, -9) is y = (-5/2)x - 4.

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Answer:

Y = -3/4  + 7

Step-by-step explanation:

7 is the y intercept

-3/4 is the slope

Slope is the change in y over the change in x

Slope = (9 - -6)/( -8 -1)

Slope = 15/-9

Slope = -15/9

Simlipy:

Slope = -5/3

Answer:

Step-by-step explanation:

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

= {9 -(-6)}/{(-8)-1}

= 15/-9

= -1.66

Answer:

[tex]f\left(2,3,1\right)=\bold{14}[/tex]

Step-by-step explanation:

Given the function:

[tex]f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}[/tex]

To find:

The value of [tex]f(2, 3, 1)[/tex] = ?

Solution:

[tex]f(2, 3, 1)[/tex] means the values of [tex]x, y\ and\ z[/tex] as:

[tex]x=2\\y=3\\z=1[/tex]

Let us put the given values in the given function and let us solve for it:

[tex]\Rightarrow f\left(2,3,1\right)=\dfrac{2^3-2.5\times 3^2+\frac{1}{2}}{1\left(2-3\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-2.5\times 9+0.5}{1\left(-1\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-22.5+0.5}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{-14}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\bold{14}[/tex]

Therefore, the answer is:

[tex]f\left(2,3,1\right)=\bold{14}[/tex]

Given:

Total number of cars = 36

Each car has 2 red stickers and one blue sticker.

To find:

The expression that represents the total number of stickers on the 36 cars.

Solution:

Total number of cars = 36

Each car has 2 red stickers and one blue sticker. So,

Total number of stickers on each car = (2+1)

Total number of stickers on 36 car = 36(2+1)

                                                           = 36(3)

                                                           = 108

Therefore, the required expression for the total number of stickers on the 36 cars is 36(2+1) and the total number of stickers is 108.

Answer:

niwebfasfbjsdfb

Step-by-step explanation:

jsdfhsdbfjhadsjbdsfhb

Answer:

false

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

15-7x=5x-21

12x=36

x=3

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

The given inequality is |y – 3| − 4 ≤ −3.

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements. “Or” indicates that, as long as either statement is true, the entire compound sentence is true. It is the combination or union of the solution sets for the individual statements.

Now, solve inequality |y – 3| − 4 ≤ −3.

Add 4 on both sides of the inequality.

That is, |y – 3| − 4+4 ≤ −3+4

y-3≤1 OR -1≤y-3

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

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Answer:

59

Step-by-step explanation:

The total amount of angles in a triangle with equal 180 degress

Answer:

Step-by-step explanation:

83° + 38° + x° = 180°

121 + x = 180

x = 59

Answer:

the answer Is 277.2

Step-by-step explanation:

V=277.2

Answer:

-5

Step-by-step explanation:

m = y2 - y1

      x2 - x1

-19 - 1 = -20

4 - 0 = 4

-20/4 = -5

Answer:

The slope is -5x

Step-by-step explanation:

Use this formula [tex]\frac{y2-y1}{x2-x2}[/tex]

Now plug in your numbers.

[tex]\frac{-19 - 1}{4 - 0} \\\frac{-20}{4} \\[/tex]

-20 ÷ 4 = -5

Hope this helps ya!!

Answer:

[tex]P(64<x<76)=0.68[/tex]

Step-by-step explanation:

Given that, the mean, [tex]\mu[/tex], and the standard deviation, [tex]\sigma[/tex], of normally distributed exam score are :

[tex]\mu=70[/tex]

[tex]\sigma=6[/tex]

Let [tex]x[/tex] represent the score on a randomly selected exam from this set

The z-score, for the randomly selected exam score x:

For 64<x<76, the range of z-score is

[tex]\frac{64-70}{6}<z<\frac{76-70}{6}= -1<z<1[/tex]

Now, from the z-score table, the value for z=-1 is the probability for x<64.

As the value for z=-1 is 0.15866, so

P(x<64)=0.15866.

Similarly, the value for z=0.67 is 0.84134, so

P(x<76)=0.84134

So, [tex]P(64<x<76)= P(x<76)-P(x<64) \\\\[/tex]

[tex]\Rightarrow P(64<x<76)=0.84134-0.15866=0.68268.[/tex]

Hence, [tex]P(64<x<76)=0.68[/tex]

Answer:

0.68

Step-by-step explanation:

khan

Answer:

I believe it would be 16

Step-by-step explanation:

8 is half of 16 and if she had 8 dollars after spending half her allowance, she would've had 16 as her allowance

Final answer: Her allowance would be 16 dollars

Answer:

a=5

Step-by-step explanation:

18-2a=8

-18     -18

-2a=-10

/-2  /-2

a=5

Answer:

y=5/2+3

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

h/6 -1 = -3

h - 6 = - 18

h = -18 + 6

h = -12

Answer:

h= -12

Step-by-step explanation:

-12/6= -2

-2- 1 = -3

-3= -3

9514 1404 393

Answer:

  16b = 96

Step-by-step explanation:

There are many aspects of "this situation" for which we could write equations. Perhaps the one that is of interest is ...

  b bags of 16 treats each will total 96 treats

  16b = 96