Please help
Sketch the graph of y = (x – 1)2 + 2 and identify the axis of symmetry.

Answer:

-6 is an extraneous solution.

Step-by-step explanation:

We can start by solving this problem.

First, to remove the square root, we can square both sides.

[tex](x+4)^{2} = x + 10\\x^2 + 8x + 16 = x + 10\\[/tex]

Next, we can subtract both sides by (x+10)

[tex]x^2 + 7x + 6 = 0\\[/tex]

Then, we can factor out the equation.

[tex](x+1)(x+6) = x^2 + 7x + 6 \\= 0[/tex]

Given this, it seems like -1 and -6 would be correct. Plugging this back into the original equation, though,

-1 + 4 = √(-1 + 10)

3 = 3

-6 + 4 = √(-6+10)

-2 ≠ 2

Therefore, -6 is an extraneous solution.

Answer:

Step-by-step explanation:

P= plain coasters

L= logo coasters

3(P+L) +25   if they want to buy logo coasters or logo  and plain  coasters

3P  if they want to buy plain coasters

no matter the amount of logo coasters   there is a one time charge  of $25

So we do not need to know how many with logo

The prize of both kind of coaster is $3

Answer:

Common difference (d) = -5

Step-by-step explanation:

formula=>

an = a + (n-1)d

=> -8 = 7 + (4-1)d

=> -15 = 3d

=> 3d = -15

=> d = -15/3

=> d = -5

Answer:

10, and -8.

Step-by-step explanation:

So we know a = -4

We also know that b = 2

Lets plug in a = -4 and b = 2 into b-2a:

2-2(-4)

=

2--8

A minus and minus make a plus, so:

2+8 = 10

So the answer is 10.

Next lets plug in a = -4 and b = 2 into [tex](a+b)^3[/tex]:

[tex](-4+2)^3[/tex]

=

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

=

-8

So the second answer is -8.

Hope this helps!

Answer:

a= 2-2(-4)= 10

b= -4^3+2^3+3(-4)(2) (-4 - 2)= 8

Answer:

a trapezium

Step-by-step explanation:

by plotting and joining the points you will see a quadilateral with four sides which has one pair of opposite sides parallel but not equal and that is a trapezium

Answer:

80 mm

Step-by-step explanation:

1/p + 1/20 = 1/16

Subtract 1/20 from both sides

1/p = 1/16 - 1/20

Use 160 as common denominator

1/p = 10/160 - 8/160

1/p = 2/160

1/p = 1/80

Cross multiply

80 = p

80 mm

Answer:

The answer is False.

Step-by-step explanation:

Cause consecutive angles for parallelogram are supplementary.

Answer:

2133$

Step-by-step explanation:

5400-(5400$ *60.5/100)

Answer:

okay for graphing first one start at zero go up five. then rise over run. so go up one and right four.

second one go down one. then down one right one

Answer:

B ; A

Step-by-step explanation:

1) The first operation that we have to do is the division

2) we have to added up the the fishes

Answer:

56.6in³

Step-by-step explanation:

volume of a pyramid = 1/3 x Area of base x height

1/3 x 11.1 x 15.3 = 56.61 in³

56.6 in³ to the nearest tenth

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

the hundredth term is 1 which is less than 5. O is added to 6

Answer:

[(x-y)(x²+xy+y²)] [(x+y)(x²-xy+y²)]

Step-by-step explanation:

x⁶-y⁶

(x³-y³)(x³+y³) difference and sum of two cubes

[(x-y)(x²+xy+y²)] [(x+y)(x²-xy+y²)]

Answer:

$ 181

Step-by-step explanation:

He has total savings account= $550

If he took out every month = $ 30.75 ,

= $ 369

micheal has total balance = $ 550 - $369

= $ 181

Answer:

[tex]\frac{19}{7}[/tex]x+[tex]\frac{11}{7}[/tex]y+5=0

Step-by-step explanation:

the intersection of x-2y=0 and 3x+y+5 is ([tex]\frac{-10}{7}[/tex];[tex]\frac{-5}{7}[/tex])

=> the line : [tex]\frac{19}{7}[/tex]x+[tex]\frac{11}{7}[/tex]y+5=0

Answer:

[tex]Point \ of \ intersection = (\frac{-10}{7} , \frac{-5}{7})\\\\Equation \ of \ line : y = -\frac{19}{11}x - \frac{35}{11}[/tex]

Step-by-step explanation:

Find intersection of the given lines :

x - 2y = 0 => x = 2y ----------- ( 1 )

3x + y = - 5 -------------------- ( 2 )

Substitute ( 1 ) in ( 2 ) :

                               3x + y = - 5

                               3 ( 2y ) + y = - 5

                                6y + y = - 5

                                  7y = - 5

                                    [tex]y = -\frac{5}{7}[/tex]

Substitute y in ( 1 ) :

                            x = 2y

                           [tex]x = 2 \times \frac{-5}{7} = - \frac{10}{7}[/tex]

[tex]Therefore , \ point \ of \ intersection\ is ( -\frac{10}{7}, -\frac{5}{7} )[/tex]

To find the equation of the line passing through ( - 3, 2) and point of intersection :

Standard equation of a line : y = mx + b , where m is the slope, b is the y intercept.

So step 1 : Find slope , m:

 [tex]slope, m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]       [tex][ \ where \ (x_1, y_ 1 ) = ( -3, 2 ) \ and \ (x_2, y_ 2 ) = ( \frac{-10}{7} , \frac{-5}{7}) \ ][/tex]

              [tex]= \frac{\frac{-5}{7}-(2)}{\frac{-10}{7} - (-3)}\\\\= \frac{-5- 14}{-10 + 21}\\\\=\frac{-19}{11}\\\\=-\frac{19}{11}[/tex]

Step 2 : Equation of the line :

[tex](y - y _1) = m (x - x_1)\\[/tex]

[tex](y - 2 ) = -\frac{19}{11}(x -( -3))\\\\(y - 2 ) = -\frac{19}{11} (x+ 3)\\\\y = -\frac{19}{11} (x+ 3) + 2\\\\ y = -\frac{19}{11}x +(-\frac{19}{11} \times 3) + 2\\\\y= - \frac{19}[11}x +(\frac{-57}{11} + 2)\\\\y= - \frac{19}{11}x +(\frac{-57+ 22}{11})\\\\y= - \frac{19}{11}x +(\frac{-35}{11})\\\\[/tex]

Answer:

3.8 inches

Step-by-step explanation:

12 = 2 x 22/7 x r

84= 2 x 22 x r

42 = 22r

r = 1.9

2r = 3.8inches.

diameter is twice the radius

diameter = 3.8 inches

hope its right. good luck!

Answer:

do u need other coordinates?

if so B'(1,-1)

C'(1,4)

D'(5,6)

the formula is (-x,y)

hope it helps :)

Answer: D is 5,6

Step-by-step explanation:

Answer:

48cm<h

Step-by-step explanation:

Answer:

i.c

ii.d

iiid

iv3

v180

Step-by-step explanation:

x is 60

Answer:

it appears to have TRANSLATED

Answer:

cardioid

Step-by-step explanation:

r=2+2 sin(theta)​

This is of the form

r =a+b theta

This is a limacon

When a = b, it is called a cardioid.

Answer:

Three quarter

Step-by-step explanation:

;]

Answer:

3/4

Step-by-step explanation:

1/2 + 1/4

2/4 + 1/4

2+1/4

3/4

Answer: $13.90

Step-by-step explanation:

Since Susana has a budget for school stationery of $33, but has already spent $19.10 on books and folders, the inequality that shows how much she can spend on other stationery, will be represented by:

p + $19.10 = $33

p = $33 - $19.10

The inequality is p = $33 - $19.10

Then, the amount that she can spend on other stationery will be:

P = $33 - $19.10

P = $13.90

She can spend $13.90 on other stationary

Answer:

1. X-intercept

Step-by-step explanation:

Answer:

quadranttwo

linear

Step-by-step explanation:

1 across

quadranttwo

14 across

linear

Answer:

relation only

Step-by-step explanation:

The vertical line will be relation only.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable.

In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Noted that Linear function is a function whose graph is a straight line

We can conclude that  vertical line would be relation only.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ3

Answer:

7 cherry pies

Step-by-step explanation:

the cherry pies that have 90 or more cherries =

4 + 3 = 7

Answer:

4 students

Step-by-step explanation:

Although I am not sure if I am completely correct. I’ll try my best.

We know:

The numbers 0-12 on the frequency table is the number of windows.

The numbers on the bottom is the amount of students.

-

What we can see:

As we can see..

-

Calculations:

Since the number of students that have the amount of windows less than 10 is 4 (0-4 section) and 0 (10-14 section)

Add.

4+0

= 4

Therefore, 4 students have less than 10 windows.

Answer:

[tex]\frac{0.00467}{100000}[/tex]

Step-by-step explanation:

Given :

0.00467

Now,

[tex]0.00467=\frac{0.00467}{100000}[/tex]

Standard form of given equation is :

[tex]\frac{0.00467}{100000}[/tex]