Only help if you know please

Answer:

[tex]y=2(x-2.5)^2-1.5[/tex]

Step-by-step explanation:

[tex]y=2x^2-10x+11[/tex]

Factor highest common numerical factor of the first two terms:

[tex]y=2(x^2-5x)+11[/tex]

Add [tex](\frac{-5}{2})^2[/tex] inside the parentheses and subtract [tex]2(\frac{-5}{2})^2[/tex]:

[tex]y=2(x^2-5x+6.25)+11-12.5[/tex]

[tex]y=2(x^2-5x+6.25)-1.5[/tex]

Factor parentheses:

[tex]y=2(x-2.5)^2-1.5[/tex]

Compare to vertex form of parabola

Vertex at (2.5,-1.5)

Answer:

center = (-2, 6)

radius = 6

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.

Given equation:

[tex]x^2+y^2+4x-12y+4=0[/tex]

Collect like terms and subtract 4 from both sides:

[tex]\implies x^2+4x+y^2-12y=-4[/tex]

Complete the square for both variables by adding the square of half of the coefficient of [tex]x[/tex] and [tex]y[/tex] to both sides:

[tex]\implies x^2+4x+\left(\dfrac{4}{2}\right)^2+y^2-12y+\left(\dfrac{-12}{2}\right)^2=-4+\left(\dfrac{4}{2}\right)^2+\left(\dfrac{-12}{2}\right)^2[/tex]

[tex]\implies x^2+4x+4+y^2-12y+36=-4+4+36[/tex]

Factor both variables:

[tex]\implies (x+2)^2+(y-6)^2=36[/tex]

Therefore:

Answer:

[tex]\left( x-2\right)^{2} +\left( y-6\right)^{2} =12[/tex]

Step-by-step explanation:

Formula ………………………………………………………………………

The equation of a circle with center (a , b) and radius r is :

[tex]\left( x-a\right)^{2} +\left( y-b\right)^{2} =r^{2}[/tex]

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

Now ,let’s apply what we have learnt:

The equation of the circle with center (a , b) = (2 , 6) and radius r = 2√3 is :

[tex]\left( x-2\right)^{2} +\left( y-6\right)^{2} =\left( 2\sqrt{3} \right)^{2}[/tex]

[tex]\Longleftrightarrow \left( x-2\right)^{2} +\left( y-6\right)^{2} =12[/tex]

[tex]\text{Note :} \left( 2\sqrt{3} \right)^{2} =2^{2}\times \sqrt{3}^{2} =4\times3=12[/tex]

Answer:

The family will need $34500.

Step-by-step explanation:

1. 5% of 30000 is 1500.

2. 3 times 1500 is 4500.

3. Add 4500 and the starting amount.

Step-by-step explanation:

first of all, remember. when dividing by a fraction, this is the same as multiplying by the upside-down fraction.

and all these signs (including the fraction sign) stand for divisions and really do the same thing and can be exchanged with each other : "/", "÷", ":"

and when writing a number like 4 1/2, it is a shortcut and means actually (4 + 1/2).

so,

4 1/2 ÷ 1/2 = 4 1/2 × 2/1 = 4 1/2 × 2 = (8/2 + 1/2)×2 =

= 9/2 × 2 = 18/2 = 9

The equivalent expression of the given expression (3x⁴ + 17x³ − x) and (− 2x⁴ − 5x) will be (x⁴ + 17x³ − 6x).

The equivalent is the functions that are in different forms but are equal to the same value.

The expression is given below.

(3x⁴ + 17x³ − x) + (− 2x⁴ − 5x)

Then the equivalent expression of the given expression will be

3x⁴ + 17x³ − x − 2x⁴ − 5x

x⁴ + 17x³ − 6x

The equivalent expression of the given expression (3x⁴ + 17x³ − x) and (− 2x⁴ − 5x) will be (x⁴ + 17x³ − 6x).

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ2

Step-by-step explanation:

Here...

2 × 2 × 2 × 3 × 3 × 5 = 360..

hence the LCM is 360...

[tex]..[/tex]

( There is also another method to solve this but I choose this one cause this one is easy to understand....)

Answer:

Step-by-step explanation:

Remark

The hyperbola opens to the left. That means that if you take ruler and apply it so it sits vertically in the middle of the hyperbola and draw a straight line, the line will go through 2 points.

What that means is that there is 1 x value and 2 y values - one above the x axis and one below.

Answer

This is NOT a function

Answer:

448 cm³

Step-by-step explanation:

Finding volume :

Answer: 448 cm³

Step-by-step explanation:

    Volume of a triangle prism can be found with;

V = [tex]\frac{1}{2}[/tex] * W * L * H

V = [tex]\frac{1}{2}[/tex] * W * L * H

V = [tex]\frac{1}{2}[/tex] * 8 cm * 14 cm * 8 cm

V = [tex]\frac{1}{2}[/tex] * 8 cm * 14 cm * 8 cm

V = 448 cm³

     The triangle prism has an area of 448 cm³

Answer:

Rent

Step-by-step explanation:

When someone wants to buy something for a specific time without keeping it permanently, they rent it. Like a hotel, you rent a hotel for a certain number of nights, you do not stay there forever. When you buy something, you keep it forever, like buying a toy, it's your's and no one can rightfully take it from you. To lease something is to let someone rent the item you are leasing, so when they pay rent, you get paid.

give brainliest.

Answer:

it's 44. something

it has something to do with the part circle it's a 180%

Answer: 26.93 square inches

Step-by-step explanation:

first let us find the area of the rectangle shape

rectangle area = length times width

rectangle area = 2 times 11

rectangle area = 22 inches

now let us do the half circle area

half circle area = 1/2(πr^2)

half circle area ~ 1/2 times 3.14(1)^2

half circle area ~ 1/2 times 3.14^2

half circle area ~ 1/2 times 9.8596

half circle area ~ 4.9298

now let’s add the half circle area and the rectangle area to get our total area

total area ~ 4.9298 + 22

total area ~ 26.9298

total area ~ 26.93

26.93 square inches is the total area rounded to the nearest hundredth.

The new matrix that is formed by the 3A + B is given below. Then the value of x is 102.

[tex]\begin{bmatrix} w & z \\y & z \\\end{bmatrix} = \begin{bmatrix} 46 & 102 \\15 & -2 \\\end{bmatrix}[/tex]

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The [tex]a_{ij }[/tex] element in a matrix, such as M, refers to the i-th row and j-th column element.

The matrices are given below.

[tex]\rm A = \begin{bmatrix}9 & 27 \\0 & 6 \\\end{bmatrix}\\\\\\B = \begin{bmatrix}19 & 21 \\15 & -20\\\end{bmatrix}[/tex]

Then the new matrix is given as 3A + B. Then we have

[tex]\rm 3A + B =\begin{bmatrix} w & z \\y & z \\\end{bmatrix}\\\\\\3A + B =3 \times \begin{bmatrix}9 & 27 \\0 & 6 \\\end{bmatrix} + \begin{bmatrix}19 & 21 \\15 & -20\\\end{bmatrix}\\\\\\3A + B = \begin{bmatrix}27& 81\\0 & 18\\\end{bmatrix} + \begin{bmatrix}19 & 21 \\15 & -20\\\end{bmatrix}\\\\\\3A + B = \begin{bmatrix} 46 & 102 \\15 & -2 \\\end{bmatrix}[/tex]

More about the matrix link is given below.

https://brainly.com/question/9967572

#SPJ1

[tex]\boxed{\bold{a_n = a_{n-1} -0.8}}[/tex]

Sequence: 1.2, 0.4, -0.4, – 1.2, -2,...

See that with every next term, the integers are decreasing by 0.8

recursive formula : [tex]\sf a_n = a_{n-1} +d[/tex]

[tex]\bold a_1 = 1.2,[/tex] [tex]\sf a_n = a_{n-1} + (-0.8)[/tex]

The Mean Absolute Deviation for the following data: 6, 1, 3, 8, 5, 11, 1, 5 is 2.5

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

mean absolute deviation = [tex]\frac{summation|x-mean|}{n}[/tex]

where

Therefore, let's calculate the mean first.

Arrange the data in ascending order.

1, 1, 3, 5, 5, 6, 8, 11

mean = 1 + 1 + 3 + 5 + 5 + 6 + 8 + 11 / 8 = 40 / 8 = 5

Therefore, let's calculate the distance between each dat point and mean.

|1 - 5| + |1-5| + |3-5| + |5-5| + |5-5| + |6-5| + |8-5| + |11-5|

4 + 4 + 2 + 0 + 0 + 1 + 3 + 6 = 20

Hence,

mean absolute deviation = 20 / 8 = 2.5

learn more on mean absolute deviation here: https://brainly.com/question/14882237

#SPJ1

base= 10 ft

height= 12 ft

the surface area of the given pyramid.

[tex]s.a = {a}^{2} + 2a \sqrt{ \frac{ {a}^{2} }{4} + {h}^{2} } [/tex]

[tex]s.a = {10}^{2} + 2 \times 10 \times \sqrt{ \frac{ {10}^{2} }{4} { \times 12}^{2} } [/tex]

[tex]s.a = 360 \: {ft}^{2} [/tex]

therefore, the surface area of the given pyramid is 360 square feets.

answer= option D

Answer:

Pls refer

Step-by-step explanation:

I hope you understand

Feel free to ask any doubts

Answer:

15 2/3

Step-by-step explanation:

[tex]5\frac{2}{3} + 2 \frac{2}{3} = 8[/tex]

[tex]8 + 2 \frac{2}{3} + 5[/tex]

[tex]10 \frac{2}{3} + 5 = 15 \frac{2}{3} [/tex]

[tex]15 \frac{2}{3} [/tex]

Answer:

15 2/3

Step-by-step explanation:

Answer:

[tex]4+x=22[/tex]

Step-by-step explanation:

Hope this helps

Answer:

You pay 67.5 for the shoes.

Step-by-step explanation:

10% of 75 is 7.5.

75 - 7.5 = 67.5

Please Mark Brainliest!

Answer:

Here ya go! Hope it helps

Answer:

(5-i)

(5-4i)

(-12i^2+2i+2)

(6i^2-2i)

[tex]18*(7*(-3))=18*7+18*(-3)\\18*-21=126 - 54\\-378 \neq 72[/tex]

LHS [tex]\neq[/tex] RHS

Answer :

To verify an equation, we need to see if the LHS = RHS.

Equation [tex]\downarrow[/tex]

[tex]18\times(7\times(-3))=18\times7+18\times(-3)[/tex]

Let's solve the left hand side (LHS) first.

[tex]18\times(7\times(-3))\\= 18 \times (-21)\\=\underline{ -378}[/tex]

Now, let's solve the right hand side (RHS).

[tex]18\times7+18\times(-3)\\= 126 - 54\\=\underline {72}[/tex]

But,

[tex]\boxed{-378 \neq 72}[/tex]

We can see that the LHS doesn't match or isn't equal to the RHS.

Hence, we can say that LHS [tex]\neq[/tex] RHS & the  equation is NOT true.

[tex]\rule{150pt}{2pt}[/tex]

Step-by-step explanation:

when given similar terms sometimes its easier to work the problem out before sinplifying

Answer:

-5(y - 3)/-2

Step-by-step explanation:

y² - 9/-2y × -5y/y + 3

Multiply Rewrite

Simplify the expression

(y - 3)×(y + 3)/2 × 5/y + 3

Simplify the expression

y - 3/2 × 5

Calculate

5(y - 3)/2

HOPE THIS HELPS :)

Answer:

[tex]\huge\boxed{\dfrac{-5(y-3)}{-2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{y^2-9}{-2y}\cdot\dfrac{-5y}{y+3}=\dfrac{y^2-3^2}{-2y}\cdot\dfrac{-5y}{y+3}[/tex]

use: a² - b² = (a - b)(a + b)

[tex]=\dfrac{(y-3)(y+3)}{-2y}\cdot\dfrac{-5y}{y+3}[/tex]

simplify fractions

(y + 3) and y

[tex]=\dfrac{y-3}{-2}\cdot\dfrac{-5}{1}=\dfrac{-5(y-3)}{-2\cdot1}=\dfrac{-5(y-3)}{-2}[/tex]

The cost in dollars of making x items is given by the function C(x) = 10x + 900. The fixed cost is 900 dollars. C(25 ) = $1150. The Range is 250.

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

The cost in dollars of making x items is given by the function

C(x) = 10x + 900

a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item.

The fixed cost

C(0) = 10(0) + 900

       = 0 + 900

       = $900

b. What is the cost of making 25 items?

C(25) = 10(25) + 900

       = 250 + 900

       = $1150

Therefore, C(25 ) = $1150

c. Suppose the maximum cost allowed is $1900. What are the domain and range of the cost function, C(x)?

The domain is the set of values for which the given function is defined.

Range = Maximum value of the data set - Minimum value of the dataset

Range = C(25 ) - C(0)

           = 1150 - 900

           = 250

Learn more about function here:

https://brainly.com/question/2253924

#SPJ1

Answer:

200 ft per min.

Step-by-step explanation:

So this is asking if so and so can walk 3000 ft in 15 min, how many ft can they walk in 1 min.

So just divide the 3000 and 15 by 15.

So 200 over 1.

Answer:

(2,0)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

250÷60×45=187.5

Answer is C.