I need help with this question please

Answer:

One root ; x = 3

Step-by-step explanation:

( a ± b )² = a² ± 2ab + b²

~~~~~~~~~

y = x² - 6x + 9

x² - 6x + 9 = x² - 2(x)(3) + 3² = ( x - 3 )²

( x - 3 )² = 0 ⇒ x - 3 = 0 ⇒ x = 3

The area bounded by the Curves y=4-x² and y = 2x + 1 is 10 1/3 units.

Area is the amount of space occupied by a two dimensional shape or object.

y = 4 - x² and y = 2x + 1

4 - x² = 2x + 1

x² + 2x - 3 = 0

(x + 3)(x - 1) = 0

x = -3; or x = 1

The area (A) is given by:

[tex]A=\int\limits^1_{-3} {x^2+2x-3} \, dx \\\\A=10\frac{1}{3}[/tex]

The area bounded by the Curves y=4-x² and y = 2x + 1 is 10 1/3 units.

Find out more on area at: https://brainly.com/question/25292087

The cost to buy the flooring for Raul's bedroom is $364.65.

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

Actual length of the bedroom = 4 x 3.25 = 13 feet

Actual length of the bedroom = 4 x 2.75 = 11 feet

Area = 143 square feet

Cost = 143 x 2.55 = $364.65

To learn more about scale drawings, please check: https://brainly.com/question/26388230

Answer:

Angles A and W.

Explanation:

Cosine = Adjacent side/Hypotenuse

Answer:

48%

Step-by-step explanation:

P (not getting a speckled rock) = 12/18 = 2/3

P (not getting a green rock) = 13/18

2/3 * 13/18 = 26/54 = 13/27 ≈ 48%

Answer:

32x^7y^15

Step-by-step explanation:

x^2(2xy^3)^5

can be simplified by adding up the x and y values.

Answer:37,500

Step-by-step explanation: Find 60% of 25000 which is 15000 then multiply by 2.5

Answer:

B

Step-by-step explanation:

[tex]\sin{x}=\frac{5}{13}, \cos{x}=\sqrt{1-(\frac{5}{13})^2}=\frac{12}{13}[/tex]

[tex]\sin{y}=\frac{8}{17}, \cos{y}=\sqrt{1-(\frac{8}{17})^2}=\frac{15}{17}[/tex]

[tex]\cos(x+y)=\cos{x}\cos{y}-\sin{x}\sin{y}\\=\frac{12}{13}\times\frac{15}{17}-\frac{5}{13}\times\frac{8}{17}\\=\frac{140}{221}[/tex]

Answer:

y= x -2

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept

Given equation: y= x +4

This equation is already in the slope-intercept form, thus its slope can be found from the coefficient of x.

Slope= 1

[tex]\textcolor{steelblue}{\text{Parallel lines have the same slope.}}[/tex]

Slope of unknown line= 1

Substitute the m= 1 into y= mx +c:

y= x +c

To find the value of c, substitute a pair of coordinates the line passes through into the equation.

When x= 5, y= 3,

3= 5 +c

c +5= 3

c= 3 -5

c= -2

Thus, the equation of the line is y= x -2.

Answer:

-7a+11

Step-by-step explanation:

B for question 12

B for question 13

Step-by-step explanation:

U = Union

n= intercestion

B'= not b

A"= not a

so AnB'

should be B

if 2.50 = 1

2.50x8=

20

1×8 =

8

should be $8

Answer:

True

Step-by-step explanation:

In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree

Answer:

Step-by-step explanation:

the answer isis truetrue

Answer:

1/16

Step-by-step explanation:

Place x=0 and you can see [tex]\frac{0}{0}[/tex] indefinitness. So you can apply the l'hosptial rule. Its basic you should

[tex]\lim_{x \to \ 0} \frac{g(x)}{f(x)} = \\[/tex]  [tex]lim_{x \to \ 0} \frac{g'(x)}{f'(x)}[/tex] so apply the derivative

[tex]\frac{\frac{1}{x-4} +\frac{1}{\sqrt[4]{(1-x})^3 } }{2x}[/tex] and replace the x=0 and you'll see same answer [tex]\frac{0}{0}[/tex] re-apply the l'hospital rule and answer

[tex]\frac{\frac{-1}{(x-4)^2} + \frac{3}{16\sqrt[4]{(1-x)^7} } }{2}[/tex] and replace the 0 you can see the answer [tex]\frac{1}{16}[/tex]

Step-by-step explanation:

the area of a rectangle is

length × width

that is in our case

(x + 3) × 4.5 = 4.5x + 4.5 × 3 = 4.5x + 13.5

remember, when multiplying 2 expressions, you multiply every term of one expression by every term of the other expression and then you add all these individual results up by considering the signs, of course.

Answer:

8

----

125

Step-by-step explanation:

(2/5)³

2      2     2          8

--- x --- x ---  =  ---------

5      5     5         125

I hope this helps!

Answer:

3

Step-by-step explanation:

substitute x = - 2 into the expression

3x² - 9

= 3(- 2)² - 9

= 3(4) - 9

= 12 - 9

= 3

Answer:

A. 65

Step-by-step explanation:

The sum of the measures of the interior angles of a triangle is always 180 degrees. This means that j+k+l = 180. j is equal to l, so I can rewrite this as k+2j = 180. k is 50, so 50+2j is 180, and 2j is 130. This means that j is 65.

Answer:

A. 65°

Step-by-step explanation:

We are given that <J ≅ <L  

We know that all angles in a triangle = 180°

K + J + L = 180

50 + 2J = 180

2J = 130

<J = 65°

I hope this helps!

Answer:

x ≤ 45

Step-by-step explanation:

x + 35 ≤ 80

  - 35    -35

x ≤ 45

I hope this helps!

Hello!

Let's solve this inequality.

x+35≤80

Subtract 35 from both sides:

x≤80-35

x≤45

It means "less than or equal to"

So all numbers less than or equal to will make this inequality true.

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

Answer:

When you subtract, the numbers decrease however when you add the numbers increase.

Step-by-step explanation: Theres the answer but is it multiple choice? if so than you can give me the choices and ill tell you the answer. But i hope this helped and if u need anything u can ask!

Step-by-step explanation:

as I don't see any equations or graphs here I can only answer in general :

f(x) is the patent function.

g(x) is the transformed function.

g(x) = -6f(x-7)

the "-" reflects the curve over the x-axis (what was positive is now negative and vice versa).

the factor 6 stretches the curve up and down by the factor 6 (everything is now 6 times larger or smaller).

and the argument "x-7" relates x (for the new function) with "x-7", meaning that now things are happening at x, that were originally happening at x-7, so they happen now "later" (more to the right on the x-axis) than before - hence a shift to the right.

Answer:

its D

Step-by-step explanation:

took the test :)

Explanation:

The distributive property tells you that multiplication distributes over addition. In equation form, it looks like ...

  a(b +c) = ab +ac

__

The parentheses are a grouping symbol. In the above equation, they indicate that the sum (b+c) is to be treated as a group. When it is multiplied by 'a', everything in the group is multiplied by 'a'.

In the real world, there are many ways things are grouped. Baseball cards are packaged together with bubble gum; Cracker Jacks® are packaged together with a prize; left gloves are packaged together with right gloves; a bicycle is a package that has a frame, 2 wheels, a seat, handlebars. If you purchase a number of any of these packages, each of the items in the package is part of your purchase that number of times.

For example, 3 bicycles will have 3 frames, 3×2 = 6 wheels, 3 seats, 3 sets of handlebars. In algebraic form, this might look like ...

  3(f +2w + s + h) = 3f +6w +3s +3h

__

Using the distributive property to eliminate parentheses is like regrouping the contents of the packages so like items are grouped together. In our above example, the 3 frames were grouped together when we considered that part of the group of 3 bicycles. The multiplier multiplies every member of the group.

__

The reverse of the distributive property tells us we can regroup items into sets. It tells us we can take 3 frames, 6 wheels, 3 seats, and 3 handlebars and group them together in a way that makes 3 bicycles, each having a frame, 2 wheels, a seat, and handlebars.

  3f +6w +3s +3h = 3(f +2w + s + h)

Often, we're asked to choose the multiplier to be the greatest common factor (GCF) of the numbers of things in the group. That makes each group as small as possible. The multiplier only needs to be a common factor, not necessarily the greatest common factor.

Answer:

The answer is (-4, 15/2)

Step-by-step explanation:

Let the Boone be x, Winston-Salem be y, Raleigh be z and Burlington be m.

We are given that Winston-Salem is halfway between Boone and Raleigh. Burlington is halfway between Winston- Salem and Raleigh.

If Boone is located at the coordinates (-1,3) and Raleigh is at (-5, 9).

We will use Midpoint Formula

[tex]( \frac{x _{1} + x _{2}}{2} , \frac{y _{1} + y _{2}}{2} ) \\ [/tex]

Where,

x₁ = (-1) and x₂ = (-5)

y₁ = 3 and y₂ = 9

Now, We will find Co-ordinates of y i.e., Winston-Salem.

So,

[tex] ( \frac{( - 1) + ( - 5)}{2} , \frac{3 + 9}{2} ) \\ [/tex]

[tex]( \frac{( - 1 - 5)}{2} , \frac{12}{2} ) \\ [/tex]

[tex]( \frac{ - 6}{2} , \frac{12}{2} ) \\ [/tex]

[tex]( - 3,6)[/tex]

Here, The coordinates of y i.e., Winston-Salem is (-3, 6).

Now, We will find Co-ordinates of m i.e., Burlington.

So,

Again, Using of Midpoint Formula;

Where,

x₁ = (-3) and x₂ = (-5)

y₁ = 6 and y₂ = 9

So,

[tex]( \frac{( - 3) + ( - 5)}{2} , \frac{6 + 9}{2} ) \\ [/tex]

[tex]( \frac{( - 3 - 5)}{2} , \frac{15}{2} ) \\ [/tex]

[tex]( \frac{( -8)}{2} , \frac{15}{2} ) \\ [/tex]

[tex]( - 4 , \frac{15}{2} ) \\ [/tex]

Thus, The coordinates of Burlington is (-4, 15/2).

Answer:n^4/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Basic quadratic equation has this following form:

[tex](x-x_{1})(x-x_{2})=0[/tex]

where x1 and x2 are the roots.

For [tex]x_{1}=1[/tex] and [tex]x_{2}=2[/tex], we can find:

[tex](x-1)(x-2)=0 \rightarrow x^{2}-2x-x+2=0 \rightarrow x^{2}-3x+2=0[/tex]

[tex]❖\qquad\qquad\huge\underline{{\sf Answer}} \qquad \normalsize❖[/tex]

Let's simplify ~

[tex]\qquad \sf  \dashrightarrow \: \cos(x) \times \tan(x) \times \csc(x) [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cancel{ \cos(x) }\times \dfrac{ \cancel{ \sin(x)} }{ \cancel{ \cos(x) }} \times \dfrac{1}{ \cancel{\sin(x)} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:1[/tex]

The equivalent value is 1

Jose's rectangle must have equal and parallel opposite sides

The coordinates of the other points could be C(7,5) and D(7,1)

The coordinates are given as;

A = (2,5).

B = (2,1).

To form a rectangle, each of the remaining points must have the same y-coordinates as points A and B.

So, we have:

C = (x,5)

D = (x,1)

Also, the remaining points must have the same x-coordinates.

i.e.

Cx = Dx

From the list of options, we have:

C(7,5) and D(7,1)

Hence, the coordinates of the other points could be C(7,5) and D(7,1)

Read more about rectangles at:

https://brainly.com/question/12500692

Answer:x.

Step-by-step explanation: