What is the cos of 2

For this case we must factor the following quadratic expression:

[tex]x ^ 2-6x + 9[/tex]

To factor, we must find two numbers that when multiplied give as result +9 and when added or subtracted give as result -6.

These numbers are:

-3 and -3

[tex]-3-3 = -6\\-3 * (- 3) = + 9[/tex]

So, we have:

[tex](x-3) (x-3)[/tex]

ANswer:

Option D

Answer:

D. (x - 3)(x - 3)

Step-by-step explanation:

We are given the following expression and we are to factorize it:

[tex]x^2-6x+9[/tex]

Finding factors of positive 9 such that when added they give a result of -6.

[tex] x ^ 2 - 6 x + 9 [/tex]

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

Factorizing them to get:

[tex] x ( x - 3 ) - 3 ( x - 3 ) [/tex]

[tex] ( x - 3 ) ( x - 3 ) [/tex]

Answer:

A

Step-by-step explanation:

The equation of a parabola is y = ax² + bx + c : a ≠ 0

Given

y = 2 (x + 4)² - 7 ← expand the squared factor

y = 2(x² + 8x + 16) - 7 ← distribute the parenthesis by 2

y = 2x² + 16x + 32 - 7 ← collect constant terms

y = 2x² + 16x + 25 → A

Answer:

The width is 7 inches and the length is 9 inches

Step-by-step explanation:

So we can divide 32 by 2 because we know perimeter is 2(l*w)

So it becomes 16, and it is now (l*w)

We know that the length is 2 inches longer so we subtract 2 from 16.

It then becomes 14 inches so therefore we can then divide it by 2.

14 divided by 2 is 7 and therefore we add 2 because we subtracted the two from earlier temporarily.

Therefore the width is 7 and the length is 9.

Final answer:

To find the dimensions of the picture frame with a perimeter of 32 inches and length 2 inches more than its width, equations based on the rectangle's perimeter formula are used. The width is found to be 7 inches, leading to a length of 9 inches.

Explanation:

To determine the dimensions of a rectangular picture frame where the perimeter is 32 inches and the length is 2 inches longer than the width, we can set up two equations based on the properties of a rectangle's perimeter. The perimeter (P) of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width. Let's denote the width of the frame as w inches; thus, the length will be w + 2 inches since the length is 2 inches longer than the width.

Now, since the perimeter is 32 inches, we plug in our expressions for length and width into the perimeter formula: 2(w + 2) + 2w = 32. Simplifying this, we get 2w + 4 + 2w = 32. Combining like terms, we have 4w + 4 = 32. Subtracting 4 from both sides, we get 4w = 28. Dividing both sides by 4, we find w = 7 inches.

Therefore, the width of the frame is 7 inches, and the length, being 2 inches longer, is 7 + 2 = 9 inches. So the dimensions of the frame are 7 inches by 9 inches.

Answer:

2,3,5,6,9,10

Step-by-step explanation:

To do this, we can look at how each value divides into 90. If it produces a whole number, they will be consider to be divisible

[tex]90/2=45\\\\90/3=30\\\\90/4=22.5\\\\90/5=18\\\\90/6=15\\\\90/9=10\\\\90/10=9[/tex]

This means 4 is the only value that is not divisible into 90

Answer:

2, 3, 5, 6, 9, 10

Step-by-step explanation:

We are to determine which numbers is 90 divisible by:

[tex]2,3,4,5,6,9,10[/tex]

For this, we can use the divisibility rule which helps us find out whether a number is exactly divisible by other numbers (i.e. there is no remainder left).

Divisible by 2:

90 is divisible by 2 since it ends with a 0.

Divisible by 3:

90 is divisible by 3 because 90 is a multiple pf 3.

Divisible by 4:

90 is not divisible by 4 because the last two digits are not a multiple of 4

or the last two digits are not 00.

Divisible by 5:

90 is divisible by 5 since it ends with a 0.

Divisible by 6:

90 is divisible by 6 because it is divisible by 3.

Divisible by 9:

90 is divisible by 9 because it is a multiple of 9.

Divisible by 10:

90 is divisible by 10 since the last digit is 0.

To solve the equation -3 + 1 + 10x = x + 4, the like terms are combined, variables are moved to one side, and the resulting linear equation is simplified to find x = 2 / 3.

To solve the equation -3 + 1 + 10x = x + 4, you first need to simplify and rearrange the equation to isolate the variable x on one side. Start by combining like terms on the left side:

-3 + 1 = -2, so the equation simplifies to -2 + 10x = x + 4.

Next, move the x terms to one side by subtracting x from both sides of the equation:

10x - x = 4 + 2

This simplifies to 9x = 6. Finally, divide both sides by 9 to solve for x:

x = 6 / 9 or x = 2 / 3.

The solution to the equation is x = 2 / 3.

Answer:

see explanation

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, hence

AE = EC, that is

x² - 6 = 5x ( subtract 5x from both sides )

x² - 5x - 6 = 0 ← in standard form

(x - 6)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 1 = 0 ⇒ x = - 5

However x > 0 ⇒ x = 6

AC = x² - 6 + 5x = 6² - 6 + 5(6) = 36 - 6 + 30 = 60

To find the value of x in parallelogram ABCD, set up an equation using the given information and solve for x. Use the fact that the diagonals of a parallelogram bisect each other to find AC.

To find the value of x in parallelogram ABCD, we can set up an equation using the given information:

AE = x2-6

CE = 5x

By solving this equation, we can find the value of x.

To find the value of AC, we can use the fact that in a parallelogram, the diagonals bisect each other. So, AC = CD/2. By substituting the value of CD from the earlier equation, we can find AC.

Answer:

[tex]A^{-1}=\left[\begin{array}{ccc}2&0&-1\\3&-1&-1\\-4&1&2\end{array}\right][/tex]

X = 4

Step-by-step explanation:

* At first lets revise how to find the inverse of 3 × 3 matrix

- To find the inverse of a 3 x 3 matrix,

# first calculate the determinant of the matrix.

- If the determinant is 0, the matrix has no inverse.

# Second, transpose the matrix by rewriting the first row as the first

  column, the middle row as the middle column, and the third row

  as the third column.

# Third, Find the determinant of each of the 2 x 2 minor matrices,

- To find the right minor matrix for each term, first highlight the row

  and column of the term you begin with. This should include five

  terms of the matrix. The remaining four terms make up the  

  minor matrix.

- Find the determinant of each minor matrix by cross-multiplying

 the diagonals and subtracting

# Fourth, create the matrix of cofactors.

- Place the results of the previous step into a new matrix of

 co-factors by aligning each minor matrix determinant with the

 corresponding position in the original matrix

- When assigning signs, the first element of the first row keeps its

 original sign. The second element is reversed. The third element

 keeps its original sign. Continue on with the rest of the matrix

- The final result of this step is called the Adj matrix of the original

# The inverse matrix = 1/determinant  × Adj matrix

* Now lets find the matrix A from the story problem

∵ x, y, and z represent the cost of a burger, an order of fries, and

  a soft drink

- Order of Winston: x + y + z = 8

- Order of Tia: 2x + z = 10.50

- Order of George: x + 2y + 2z = 12

* Lets make the matrix A

# [tex]A=\left[\begin{array}{ccc}1&1&1\\2&0&1\\1&2&2\end{array}\right][/tex]

# Determinant of A = 1(0×2 - 1×2) - 1(2×2 - 1×1) + 1(2×2 - 0×1)

∴ Determinant of A = 1(-2) - 1(3) + 1(4) = -2 - 3 + 4 = -1

* Lets transposed A

# [tex]A^{T}=\left[\begin{array}{ccc}1&2&1\\1&0&2\\1&1&2\end{array}\right][/tex]

* Lets find the minor matrix for each term

- The 1st row

# (0×2 - 2×1) = -2 , (1×2 - 2×1) = 0 , (1×1 - 0×1) = 1

- The 2nd row

# (2×2 - 1×1) = 3 , (1×2 - 1×1) = 1 , (1×1 - 2×1) = -1

- The 3rd row

# (2×2 - 1×0) = 4 , (1×2 - 1×1) = 1 , (1×0 - 2×1) = -2

* Lets Make Adj A

# [tex]AdjA=\left[\begin{array}{ccc}-2&0&1\\3&1&-1\\4&1&-2\end{array}\right] *\left[\begin{array}{ccc}+&-&+\\-&+&-\\+&-&+\end{array}\right]=\left[\begin{array}{ccc}-2&0&1\\-3&1&1\\4&-1&-2\end{array}\right][/tex]

* Lets write inverse of A

# [tex]A^{-1}=\frac{1}{-1}\left[\begin{array}{ccc}-2&0&1\\-3&1&1\\4&-1&-2\end{array}\right]=\left[\begin{array}{ccc}2&0&-1\\3&-1&-1\\-4&1&2\end{array}\right][/tex]

* Now lets find the solution matrix for X

# [tex]A_{x}=\left[\begin{array}{ccc}8&1&1\\10.5&0&1\\12&2&2\end{array}\right][/tex]

∴ Ax = 8(0×2 - 1×2) - 1(10.5×2 - 1×12) + 1(10.5×2 - 0×12)

∴ Ax = -16 - 9 + 21 = -4

* Lets find the value of X

∵ X = Ax/A

∴ X = -4/-1 = 4

The costs: burger ($3), fries ($1.50), and soft drink ($3.50). We used the inverse matrix A⁻¹ to solve the system Aˣ=b.

Let's define the system of equations based on the given information:

This can be written as:

In matrix form, this is:

Where:

[tex]A = \left[\begin{array}{ccc}1&1&1\\2&0&1\\1&2&2\end{array}\right][/tex]

[tex]X = \left[\begin{array}{c}x\\y\\z\end{array}\right][/tex]

[tex]B = \left[\begin{array}{c}8\\10.5\\12\end{array}\right][/tex]

The inverse matrix A-1 is found using matrix inversion methods. Let's denote A⁻¹:

[tex]A^{-1} = \left[\begin{array}{ccc}[2&-2.5&0.5\\-1&1.5&-0.5\\0&0&1\end{array}\right][/tex]

The solution matrix X is:

After performing matrix multiplication:

[tex]X = \left[\begin{array}{ccc}[2&-2.5&0.5\\-1&1.5&-0.5\\0&0&1\end{array}\right] * \left[\begin{array}{c}8\\10.5\\12\end{array}\right] = \left[\begin{array}{c}3\\1.5\\3.5\end{array}\right][/tex]

Therefore, the cost of a burger is $3, an order of fries is $1.50, and a soft drink is $3.50.

Answer:

2004.035

Step-by-step explanation:

2000+4=2004, 3.5%= .035, and 2004+0.035=2004.035

Answer:

8

Step-by-step explanation:

When you divide by a fraction, you can also say that you are multiplying by the reciprocal.

So [tex]6/\frac{3}{4}=6*\frac{4}{3}[/tex]

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

[tex]\frac{6}{1}*\frac{4}{3}=\frac{24}{3}=8[/tex]

the second one. the same value of x cannot go to two different y’s. if you plotted them on a graph they would not pass the vertical line test :)

Answer:

The second one.

Step-by-step explanation:

The values in the x variable are both 2's but have different y values. Therefore it's not an actual function.

Answer:

Step-by-step explanation:

We need to find the graph of the following function:

Y - 4 = 4/3(x-2)

Solving for Y we have:

Y = 4/3(x-2) + 4

The graph is similar to the graph of f(x) = 1/x. But, with the following differences:

1. The graph is translated vertically upwards by 4 units.

2. The graph is translated horizontally to the right 2 units.

3. The graph is enlarged by a factor of 4/3.

Then, considering all these facts. The graph of f(x) = 1/x and the new graph according to all the characteristics stated before are attached.

So I don't remember how to do IQR or MAD but I can help you with the rest for the garter snake (hopefully I'll explain it well enough so that you can do the water snake on your own.

Mean: Add all the numbers together then divide the sum by the number of integers given

26 +30+22+15+21+24+28+32+24+25+18+35 = 300

If you count there are a total of 12 numbers so you have to divide 300 by 12

300 / 12 = 25

Median: Put the numbers in order from lest to greatest then find the number in the middle

^^^What I do for this is start on the out side and take away one on both sides each "round" until I reach the middle (Does that make sense?)

15  18   21   22  24  24  25  26  28  30  32  35  

     18   21   22  24  24  25  26  28  30  32

            21  22  24  24  25  26  28  30

                  22  24  24  25  26  28

                         24  24  25  26

                               24  25

^^^Now this is tricky because there are two number remaining instead of one, so you have to find which number is in between the two left. This one  is easy (the middle of 24 and 25 is 24.5) since they are only one number apart, but if it is more difficult what you do is take the mean of those two remaining numbers

24 +25 = 49

49 / 2 = 24.5

Mode: Which number appears the most often in the set of data?

15  18   21   22 24  24  25  26  28  30  32  35

24 appears two times in the data where the rest of the numbers appear only once therefore 24 is the mode of this set of data

Range: Subtract the largest number by the smallest number

Largest number: 35

Smallest number: 15

35 - 15 = 20

Hope this helpd!

Answer:

120 divided by 1/6= 720

Step-by-step explanation:

120 divided by 1/6

When we divide by a fraction , we change the division to multiplication .

To divide 120 by a fraction 1/6.

We take reciprocal of 1/6 and multiply with 120

Reciprocal of 1/6 is 6/1

[tex]\frac{120}{\frac{1}{6} } = 120 * \frac{6}{1} = 720[/tex]

120 divided by 1/6 equals 720, which is found by multiplying 120 by the reciprocal of 1/6.

To find what 120 divided by 1/6 is, you use the principle of division of fractions.

In this case, you multiply 120 by the reciprocal of 1/6. The reciprocal of 1/6 is 6/1, or simply 6.

Therefore, the calculation you need to perform is:

120 × 6 = 720

This means that 120 divided by 1/6 equals 720.

Answer:

hold up i know it

Step-by-step explanation:

50, because 4÷5=.80 or 80%.

So 40÷50=.80 or 80%

ANSWER

C) 5.7 seconds

EXPLANATION

The height of the object is given by:

[tex]h(t) = - 16 {t}^{2} + 64t + 160[/tex]

If the object hit the ground, then the height is zero.

[tex]- 16 {t}^{2} + 64t + 160 = 0[/tex]

Divide through by -16

[tex] {t}^{2} - 4t - 10 = 0[/tex]

Where a=1, b=-4 and c=-10

We substitute into the quadratic formula to obtain,

[tex]t= \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

[tex]t= \frac{ - - 4\pm \sqrt{ {( - 4)}^{2} - 4( 1)( - 10)} }{2(1)} [/tex]

[tex]t= \frac{ 4\pm \sqrt{56} }{2} [/tex]

[tex]t= \frac{ 4\pm 2\sqrt{14} }{2} [/tex]

t=2-√14 or t=2+√14

Time cannot be negative.

Hence, t=5.7 seconds to the nearest tenth.

Your answer is A.

y = -1/2x + 9

Answer:

Option A is correct.

Step-by-step explanation:

Given Two points on line are ( 2 , 8 )  &  ( 8 , 5 )

We have to find A line of best fit for the graph using these two points.

We find the equation of line using two point form,

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

So,

[tex]y-8=\frac{5-8}{8-2}(x-2)[/tex]

[tex]y-8=\frac{-3}{6}(x-2)[/tex]

[tex]y-8=\frac{-1}{2}(x-2)[/tex]

[tex]y-8=\frac{-1}{2}x-\frac{-1}{2}\times2[/tex]

[tex]y-8=\frac{-1}{2}x+1[/tex]

[tex]y=\frac{-1}{2}x+1+8[/tex]

[tex]y=\frac{-1}{2}x+9[/tex]

Therefore, Option A is correct.

Answer: OPTION D

Step-by-step explanation:

 To express a polynomial in Standard form, you need to see the exponent of each term of the polynomial and then order the polynomial from highest exponent to lowest exponent.

Therefore, for the polynomial  [tex]-x^3 + x^4 + x - x^2[/tex], you can see that the term that thas the highest exponent is x⁴ (The quartic term).

Then, this polynomial written in Standard form is:

[tex]x^4 - x^3 - x^2+x[/tex]

Therefore, the term that should go first is: the quartic term.

[tex]\bf ((5^{-2})(9^5))^{-6}\implies ((5^{-2\cdot -6})(9^{5\cdot -6}))\implies 5^{\stackrel{\stackrel{n}{\downarrow }}{12}}\times 9^{\stackrel{\stackrel{m}{\downarrow }}{-30}}[/tex]

The side of a square is the square root of the area.

Side = √196

Side = 14 inches.

Answer:

is 5.?=5 and for 6.?=18

Step-by-step explanation:

Answer:

I think it's 2,928 but i don't know if i'm right

if i'm right can you make in the brainliest

Answer:

2,928 miles

Step-by-step explanation:

To find the total add the two numbers (2342 + 586) to arrive at the answer

c = - 3

Hope this helps!

Answer:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.

Please see the attached images below, to find more information about the graph

The equation is:

f(x) = x^4 – 2x^3 + 5x^2 – 7x + 9

The equation has only complex roots.

Answer:

+1,+3,+9

Step-by-step explanation:

Factors of the constant term

Answer:

The area of the park is [tex]108\ m^{2}[/tex]

Step-by-step explanation:

we know that

The scale drawing is [tex]\frac{5}{3}\frac{cm}{m}[/tex]

step 1

Find the actual length of the rectangular park

Divide the length in the drawing by the scale drawing

[tex]20/(5/3)=12\ m[/tex]

step 2

Find the actual width of the rectangular park

Divide the width in the drawing by the scale drawing

[tex]15/(5/3)=9\ m[/tex]

step 3

Find the area of the park

[tex]A=(12)(9)=108\ m^{2}[/tex]

Answer: D.  L1 is parallel to L4 because L1 is parallel to L3 and L3 is parallel to L4.

Step-by-step explanation: Since L1 and L3 are both perpendicular to L2, L4 is parallel to L1 if L1 is parallel to L3

Answer:

The correct option is D.

Step-by-step explanation:

It is given that L1 is perpendicular to L2, L2 is perpendicular to L3, and L3 is parallel to L4.

L1 ⊥L2, L2 ⊥ L3, L3║L4.

If one line perpendicular to second line and second line perpendicular to third line, then first and third line are parallel.

[tex]L_1\perp L_2,L_2\perp L_3\Rightarrow L_1\parallel L_3[/tex]

Using transitive property of parallel lines.

[tex]L_1\parallel L_3,L_3\parallel L_4\Rightarrow L_1\parallel L_4[/tex]

L1 is parallel to L4 because L1 is parallel to L3 and L3 is parallel to L4.

Therefore the correct option is D.

Answer:

The image triangle NPQ is triangle KLM

Step-by-step explanation:

The vertices of triangle NPQ are at:

N(-7,-6), P(-4,-3) an Q(-4,-6).

The rule for the translation is:

[tex](x,y)\to(x+8,y+1)[/tex]

This implies that:

[tex]N(-7,-6)\to (-7+8,-6+1)=N'(1,-5)[/tex]

[tex]P(-4,-3)\to (-4+8,-3+1)=P'(4,-2)[/tex]

[tex]Q(-4,-6)\to (-4+8,-6+1)=Q'(4,-5)[/tex]

Therefore triangle N'P'Q' has vertices at N'(1,-5),P'(4,-2), and Q'(4,-5)

This coincides with K(1,-5),L(4,-2), and M(4,-5)

Hence the image triangle NPQ is triangle KLM

The correct function to represent the transformation of the parent function f(x) = 5x, after being vertically compressed by a factor of one-fourth, shifted to the right three units, and up two units, is g(x) = 1.25(x - 3) + 2.

To find the transformed function of the parent function f(x) = 5x after a series of transformations, we must apply the following transformations step by step:

Vertically compress by a factor of one-fourth, which means we multiply the output by 1/4 or 0.25. Therefore, f(x) becomes f(x) = (1/4) * 5x = 1.25x.

Shift to the right three units, which means we replace x with (x - 3). Therefore, our function becomes f(x - 3) = 1.25(x - 3).

Shift up two units, which means we add 2 to the function's output. Our function now becomes f(x - 3) + 2 = 1.25(x - 3) + 2.

Putting it all together, the function that represents the transformation is g(x) = 1.25(x - 3) + 2.

3/1 divided by 3/4 = 3/1 times 4/3. Multiply across to get 12/3 which = 4. It dripped for 4 hours.

Answer:

y = - [tex]\frac{3}{5}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (5, - 4) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line

m = [tex]\frac{-1+4}{0-5}[/tex] = [tex]\frac{3}{-5}[/tex] = - [tex]\frac{3}{5}[/tex]

Note the line crosses the y- axis at (0, - 1) ⇒ c = - 1

y = - [tex]\frac{3}{5}[/tex] x - 1 ← equation in slope- intercept form

In mathematics, the slope-intercept form is a linear equation format represented as y = mx + b. In this equation, 'y' is the dependent variable, 'x' is the independent variable, 'm' is the slope or rate of change, and 'b' is the y-intercept, the point where the line intersects the y-axis. The equation of the line in slope-intercept form is y = -x + 2.

The equation of the line in slope-intercept form is y = -x + 2.

To determine the equation of the line, we can use the following steps:

Find the slope of the line.

Find the y-intercept of the line.

Substitute the slope and y-intercept into the slope-intercept form equation.

Step 1: Find the slope of the line

The slope of the line is the change in y divided by the change in x. We can find the slope of the line by choosing two points on the line and calculating the change in y divided by the change in x between those two points.

For example, we can choose the points (2, 2) and (6, -2).

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

slope = (-2 - 2) / (6 - 2)

slope = -4 / 4

slope = -1

Step 2: Find the y-intercept of the line

The y-intercept of the line is the point where the line crosses the y-axis. We can find the y-intercept of the line by looking at the graph and finding the y-value of the point where the line crosses the y-axis.

In this case, the line crosses the y-axis at the point (0, 2). Therefore, the y-intercept of the line is 2.

Step 3: Substitute the slope and y-intercept into the slope-intercept form equation

The slope-intercept form equation is y = mx + b. In this case, the slope (m) is -1 and the y-intercept (b) is 2.

Therefore, the equation of the line in slope-intercept form is y = -x + 2.

Learn more about slope-intercept here:

https://brainly.com/question/34720487

#SPJ3

Answer:

the greenhouse can hold 27 flower beds.

Step-by-step explanation:

[tex]6480 \div 240 = 27[/tex]

if you need the width of the greenhouse, its

[tex]6480 \div 120 = 54[/tex]