Emma read the statement "the quotient of six and a number, x, is the same as negative two times the difference of x and 4. 5. " She translated it as shown below. 6 x = negative 2 x minus 4. 5 What errors did Emma make? Select two options. She should have used division to represent the quotient of six and x. She should not have included an equal sign. She should have used parentheses to show that Negative 2 is multiplied by (x minus 4. 5). She should have subtracted the difference (x minus 4. 5) from Negative 2. She should have used parentheses to show that Negative 2 is multiplied by (4. 5 minus x).

Answer:

6

Step-by-step explanation:

6 is the highest factor that will go into both 36 & 40. Leaving 6 groups of 6 for both ipads and laptops.

Function represents a relationship between variables. The product of the two given functions (k·p)(x) is 2x³-8x²-7x+28.

A function assigns the value of each element of one set to the other specific element of another set.

Given to us

k(x) = 2x² − 7

p(x) = x − 4

As the two equations are given to us, k(x) and p(x), and we need to find (k ∘ p)(x), And we know the product of two functions can be written as,

[tex](k \cdot p)(x) = k(x) \cdot p(x)[/tex]

therefore,

[tex]k(x) \cdot p(x)\\\\= (2x^2-7)(x -4)\\\\= 2x^3 - 8x^2 - 7x +28[/tex]

Hence, the product of the two given functions (k·p)(x) is 2x³-8x²-7x+28.

Learn more about Function:

https://brainly.com/question/5245372?referrer=searchResults

Scale drawings are used to draw shapes in a different proportional size

The scale used in the drawing is 17 centimeters : 9 meters

From the question, we have:

So, the scale is:

Scale =  Scale length : Real length

This gives

Scale =  102 centimeters : 54 meters

Reduce the scale

Scale =  17 centimeters : 9 meters

Hence, the scale used in the drawing is 17 centimeters : 9 meters

Read more about scale drawings at:

https://brainly.com/question/24579126

Answer: The answer is 9 meters.

Answer:

[tex]\sqrt{51}[/tex] or 7.14

Step-by-step explanation:

Using the Pythagoras theorem, we can conclude the formula that we are going to use here is [tex]a^{2}+b^{2} = c^{2}[/tex]

As we can see, this is a right triangle given that it has the square in the corner there. With this information, we can conclude that the longest side is 10, making it the hypotenuse or [tex]c[/tex]

Now we need to find [tex]b[/tex] in the formula of [tex]a^{2}+b^{2} = c^{2}[/tex] making the equation [tex]b^{2} = c^{2} - a^{2}[/tex] or [tex]b = \sqrt{ c^{2} - a^{2}}[/tex]

Given the provided information, this would be [tex]b^{2} = 10^{2} - 7^{2}[/tex] or [tex]b = \sqrt{ 10^{2} - 7^{2}}[/tex]

Simplifying it would be [tex]b = \sqrt{ 100-49[/tex] = [tex]\sqrt{51}[/tex]

The radical form would be [tex]\sqrt{51}[/tex]

While it's integer would be 7.14

Hope this helps!

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

Let the third side =x

base² + altitude² = hypotenuse²

7² + x² = 10²

49 + x² = 100

       x² = 100 - 49

      x² = 51

     x = √51

1)

y = x + 4

5x + 3y = -4

5x + 3(x + 4) = -4

5x + 3x + 12 = -4

8x + 12 = -4

8x = -4 -12

8x = -16

x = -2

substitute x into the equation

y = -2 + 4

y = 2

Answers : x = -2 , y = 2

Answer:

1) [tex]{y,x}={2,-2}[/tex]

2) [tex]{y,x} = {-4,-2}[/tex]

Step-by-step explanation:

1) [tex]y=x+4 \\ 5x+3y=-4[/tex] <---------- given linear equations

Equations Simplified or Rearranged :

[tex]y - x = 4 \\3y + 5x = -4[/tex]

Graphic Representation of the Equations : PICTURE #1

[tex]x + y = 4 \\5x + 3y = -4[/tex]

Solve by Substitution :

// Solve equation [1] for the variable  y

[tex][1] y = x + 4[/tex]

// Plug this in for variable  y  in equation [2]

[tex]3*(x +4) + 5x = -4 \\ [2] 8x = -16[/tex]

// Solve equation [2] for the variable  x

[tex]8x = - 16 x = - 2[/tex]

// By now we know this much :

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

// Use the  x  value to solve for  y

[tex]y = (-2)+4 = 2[/tex]

Solution :

[tex]{y,x} = {2,-2}[/tex]

---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

2) [tex]y=2x \\-8x-2y=24[/tex] <----- linear equations given

Equations Simplified or Rearranged :

[tex]y - 2x = 0 \\ -2y - 8x = 24[/tex]

Graphic Representation of the Equations : PICTURE #2

[tex]-2x + y = 0 \\\\-8x - 2y = 24[/tex]

Solve by Substitution :

// Solve equation [1] for the variable  y

[tex][1] y = 2x[/tex]

// Plug this in for variable  y  in equation [2]

[tex][2] -2*(2x) - 8x = 24\\ [2] - 12x = 24[/tex]

// Solve equation [2] for the variable  x

[tex][2] 12x = - 24 [2] x = - 2[/tex]

// By now we know this much :

[tex]y = 2x \\ x = -2[/tex]

// Use the  x  value to solve for  y

[tex]y = 2(-2) = -4[/tex]

Solution :

[tex]{y,x} = {-4,-2}[/tex]

Answer:

[tex]\left[\begin{array}{cc}-0.2&0.4\\0.8&-0.6\end{array}\right][/tex]

Step-by-step explanation:

[tex]\left[\begin{array}{cc}3&2\\4&1\end{array}\right] ^{-1} =\frac{1}{3*1-2*4} \left[\begin{array}{cc}1&-2\\-4&3\end{array}\right]=(-0.2)*\left[\begin{array}{cc}1&-2\\-4&3\end{array}\right]=\left[\begin{array}{cc}-0.2&0.4\\0.8&-0.6\end{array}\right]\\[/tex]

Answer: 9

Step-by-step explanation: Root 18 can be broken down into root ( 9 times 2). 9 is a square root & can be taken out as its root. Root 18 equals 3 times root 2. Multiple both 12/root & 3 root 2 by root 2. Leaves 12 + 3 times 2 or 18. Now gotta take that root 2 we multiplied by back out. Break 18 into its parts, 9 times 2. Divide the 2 by root 2, gives you root 2. So 9 times root 2. Don't have to divide 9 as well, because they all the same type of operation, multiplication/division, no adding.

Answer:

y = 3x + 60

Step-by-step explanation:

Answer:

2850

Step-by-step explanation:

a data is a collection of numbers gathered to give some meaningful information

Answer:

[tex]data[/tex]

is the correct answer and have a great day bye

Step-by-step explanation:

[tex]kai6417[/tex]

Solution:

Note that:

Find the speed of her bike of both the days and compare.

This means that:

Hence, the day after Monday is the day, she rode her bike faster than on Monday.

Answer:

The next day

Step-by-step explanation:

she covered 8 miles in 1 hour on Monday but on tuesday she covered 9 miles in 1 hour so she biked faster the next day.

Answer:

5

Step-by-step explanation:

The distance formula is:

[tex]d = \sqrt {\left( {x_2 - x_1} \right)^2 + \left( {y_2 - y_1} \right)^2 }[/tex]

We can plug in the given coordinates into the equation:

[tex]d = \sqrt {\left( {4 - 9} \right)^2 + \left( {-3 - (-3)} \right)^2 }\\d = \sqrt {\left( {-5} \right)^2 + \left( {-3+3} \right)^2 }\\d = \sqrt{25 + \left( {0} \right)^2 }\\d=\sqrt{25+0}\\d=\sqrt{25}\\d=5[/tex]

Answer:

See below.

Step-by-step explanation:

45/0.5 can also be written as 45*2.

So, 45/0.5 is 90.

-hope it helps

True.

[tex]10^{10}[/tex] = 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000.

      Its a factor which can be written in short and simplified form.

c)29.75

Step-by-step explanation:

sin 24° =12.1/x

x= 12.1/sin24

x=29.75

Answer:

graph

Step-by-step explanation:

You would start at -2 then you would go down 3 and right 1, and then you keep doing it until you have no more graph.

Answer:

D.

Step-by-step explanation:

Use the TOA from SOH CAH TOA.

Your tan(C) is opposite (12) divided by adjacent (5).

Answer:

FOR PLATO USERS

The answer is D. g(x) = f(1/2x)

Step-by-step explanation:

A graph with f(x) = x^2 starts at point zero, just like the picture shown below, so we can only predict that the new function was stretched horizontally. The parent function, f(x) = x^2, has the following points

[tex]\left[\begin{array}{ccc}x&&y\\1&&1\\2&&4\end{array}\right][/tex]

terrible table i know (pretend its a table chart) but these are the points of a normal f(x) graph. The points of the NEW graph is:

[tex]\left[\begin{array}{ccc}x&&y\\2&&1\\4&&4\end{array}\right][/tex]

It appears that the x values in the parent function table are half of the x values in the new graph table. So, the new function would be

[tex]g(x)=f(\frac{1}{2} x)[/tex]

#platolivesmatter

Answer:

x⁴-3

Step-by-step explanation:

A= L * W

9x⁵-27x = 9x * L

9x(x⁴-3)= 9x * L

L = [9x(x⁴-3)] / 9x

L= x⁴ -3

Answer:

okay so anna bakes 333 batches of whatever amount of cookies but she be bakin a ton of cookies. Like we got a whole walmart filled with anna cookies.

so we are going to make this into an expression by saying 333n-888

okay so because anna is chronically obese, she eats 888 cookies. this means we subtract 888 cookies from 333(some number) amount of cookies.

your answer?

333n - 888

you can thank me later. Good luck.

Answer:

3c-8

Step-by-step explanation:

khan

Answer:

56%

Step-by-step explanation:

This is percentage increase and its calculated with the formula:

C2 =     x2 - x1      x 100

              x1                1

where x2 = final value  (75 inches)

        x1  = initial value  (48 inches)

       c2 = relative value

pecentage increase = 100

   so we say,       75 - 48  x   100

                                48          1

27    x    100

48                          =  o.5625 x 100  = 56.25%.

approximated to the nearest percent becomes 56%

Answer:

The initial height is the y-intercept of the graph

slope of the graph = -2

Jordon interprets the only the slope correctly.

Aral interprets the only the initial height correctly.

Step-by-step explanation:

Slope = change in y ÷ change in x = (0 - 12) ÷ (6 - 0) = -12 ÷ 6 = -2

So the slope of the graph = -2

by inspection, the y-intercept = 12

Therefore, the equation for the line is   y = -2x + 12

Jordon interprets the only the slope correctly.

Aral interprets the only the initial height correctly

Answer:

$1620

Step-by-step explanation:

The area of the lawn is a trapezoid.

Area of a trapezoid = [tex]\dfrac12(a+b)h[/tex]

where a and b are the parallel sides (bases) and h is the height

Therefore,

[tex]area=\dfrac12(15+12) \times 10 = 135 \ m^2[/tex]

If the price of sod is $12 per square meter, then

total cost = 135 x 12 = $1620

Answer:

Area:-

[tex]\\ \tt\hookrightarrow \dfrac{1}{2}(15+12)\times 10=1/2(27)(10)=13.5(10)=135m^2[/tex]

Now rate of cost is $12

Answer/Step-by-step explanation:

[1] [tex]3rs = 3 * r *s[/tex]

[2] [tex]12xy = 2*2*3*x*y[/tex]

[3] [tex]5x^2=5*x*x[/tex]              

[4] [tex]36x^2=2*2*3*3*x*x[/tex]

[5] [tex]25^2=5*5*x*x[/tex]

[6] [tex]30x^2=2*3*5*x*x[/tex]

[7] [tex]5x^3=5*x*x*x[/tex]

[8] [tex]24y^3=2*2*2*3*y*y*y[/tex]

[9] [tex]9xy=3*3*x*y[/tex]

[10] [tex]12x^4=2*2*3*x*x*x*x[/tex]

Factoring means to factor a number means to break it up into numbers that can be multiplied together to get the original number.

[tex][RevyBreeze][/tex]

Answer:

[1] 3*r*s

[2] 12ry=2*2*x*y

[3]  5x2=5*x*x            

[4] 36x2=2*2*3*3*x*x

(5] 252=5*5*x*x

[6] 30x2=2*3*5*x*x

[7] 5x3=5*x*x*x

[8] 24y3=2*2*2*3*y*y*y

[9]9xy=3*3*x*y

[10] 12x4= 2*2*3*x*x*x*x

Step-by-step explanation:

Answer:

228

Explain your answer:

Answer:

A = 228 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases

here h = 12 and b₁ = 14, b₂ = 24 , then

A = [tex]\frac{1}{2}[/tex] × 12 × (14 + 24) = 6 × 38 = 228 ft²

Answer: 9 units

Step-by-step explanation:

If you draw this one out, you should be able to notice that it is only a vertical distance it travels, which means that the difference in y-units should give you the distance.

Answer:

the explanation is in the diagram

if you noticed I multiplied the second equation all through by minus so the positive 9 turned negative when multiplied by minus so negative 14 + negative 9 gives negative 23

Step-by-step explanation:

32-2y=22

y=5 because 32 minus 10 is 22 and 2y is 10

7x + 3y= 105

same as

7x + 15 = 105

7x = 90

X = 90/7

X = 12.8571429

X+y= 17.8571429

brainliest?

Answer:

g.c.f = 3g²

Step-by-step explanation:

Breakdown:

3g² → 3 * g * g

9g³ → 3 * 3 * g * g * g

Therefore the gcf is 3g²