Which graph represents the solution to this inequality? -1/4(12x+8)≤ -2x+11

Answer:

[tex]120x^4\sqrt{2}[/tex]

Step-by-step explanation:

First we need to break down the numbers in the radicals into its factors

so

12= 3*2*2

x³=x*x*x

Which means we have

[tex]10\sqrt{3*2*2*x*x*x}=20x\sqrt{3x}[/tex]

and

[tex]2\sqrt{2*3*x*x*x*x*x} =2x^{2} \sqrt{6x}[/tex]

Because the radicand (the small number that goes up top) are the same we can just mulitply the two from here

which means we have

[tex](20x*2x^2)\sqrt{3x*6x}=40x^3\sqrt{18x^2} \\\sqrt{18x^2}=\sqrt{2*3*3*x*x} =3x\sqrt{2} \\=120x^4\sqrt{2}[/tex]

Answer:

56

42

35

Step-by-step explanation:

Answer:

9%

Step-by-step explanation:

The percentage of the yearly labour cost for the parking staff is 9%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that if the total labour cost is $865,000 and $78,000 is for parking attendants.

The percentage of the yearly labour cost for the parking staff is calculated below:-

Percentage = 78000 / 865000

Percentage = 0.09 x 100

Percentage = 9%

Therefore, the percentage of the yearly labour cost for the parking staff is 9%.

To know more about percentages follow

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Answer:

you would need a graph to graph the equation

Step-by-step explanation:

Answer:

I think this help you to draw

Answer:

35

Step-by-step explanation:

14+21=7(2+3)=7(5)=35

Answer:

14+21= 35

Step-by-step explanation:

Answer:

1 is the answer to your question mate

Answer:

thirty two multiplied by one fourth equals eight

Step-by-step explanation:

Answer: ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm WHAT IS THIS!!!!!!!!!!!!!! THIS IS NOT MATH I MEAN IT COLD BE AND WHAT GRADE MATH IS THIS!!!!!!!!!!!!!!!!!!!!!!!!

*_*

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

Answer:

The 3rd

Step-by-step explanation:

Answer:

The numbers are 2 and 3. 2^2+3^2=4+9=13

Step-by-step explanation:

Answer:

13 is your answer.

let two no. be x and y

by question

x+y=5

x=5-y...........(1)

xy=6.............(2)

putting the value of x in equation 2) we get

(5-y)y=6

5y-y²=6

y²-5y+6=0

y²-3y-2y+6=0

y(y-3)-2(y-3)=0

(y-3)(y-2)=0

either

y=3

or

y=2

putting the value of y in equation 1

when y=3

x=5-3=2

when

y=2

x=5-2=3

now

when

x=3 y=2

the sum of the square of the numbers=x²+y²=3²+2²=9+4=13

Answer: k = -8.66

Step-by-step explanation:

We have the equation:

k*x + 5*y = 10

First, let's rewrite this as a line in the slope-intercept form:

5*y = 10 - k*x

y = 10/5 - (k/5)*x

y = -(k/5)*x + 2

Now, we want to make an angle of 30° with respect to the y-axis.

Then we can think on a triangle rectangle, where we know one angle of 30°, the adjacent cathetus will be equal to the difference between the y-component and the y-intercept, and the opposite cathetus will be equal to the x-component.

To get this, we first need to evaluate the function in one given point, let's use x = 5. (we could use any value of x here, i use 5 because it is easier)

y = -(k/5)*5 + 2

y = -k + 2

then the cathetus of our triangle will be:

adjacent cathetus: (y - 2) = (-k + 2 - 2) = -k

opposite cathetus: x = 5.

Now we know the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

where a = 30°

Then:

Tan(30°) = 5/(-k)

-k = 5/tan(0.577) = 8.66

k = -8.66

This is the value of k that we wanted to find.

Answer:

86

Step-by-step explanation:

add up all the scores then divide by the amount of test taken. total test score is 516, total test is 6 so 516÷6=86

Answer:

8

Step-by-step explanation:

i did that answer and i got it right

Answer:

His car is slowing down.

Step-by-step explanation:

During section C, the car decreased in speed (the slope is negative). This is the definition of 'slowing down', hence the answer.

Answer:

C.  His car is slowing down.

Step-by-step explanation:

The slope is going downwards, so this means that he is going slower.

Answer:

$4,675

Step-by-step explanation:

The commission is 5.5% of $85,000.

5.5% * $85,000 =

= 0.055 * $85,000

= $4,675

Answer:

$4675

Step-by-step explanation:

85,000 x .055 = 4,675

Hope that helps!

Answer:

1) f(x) = 0.5*(x + 3)*(x - 4)

2) f(x) = -2*x^2 - 2*x + 12

Step-by-step explanation:

Wen we have a quadratic function like:

f(x) = a*x^2 + b*x + c*x

And it has roots at x1 and x2, we can write the function in the factored form as:

f(x) = a*(x - x1)*(x - x2)

then:

1) we have x-intercepts at: (-3, 0) and (4, 0) (then the roots of this function are x = -3 and x =4) and we know that f(1) = -6

we have:

x1 = -3

x2 = 4

then we can write f(x) as:

f(x) = a*(x - (-3))*(x - 4)

f(x) = a*(x + 3)*(x - 4)

Where a is a real number.

and now we can use the fact that f(1) = -6

then:

f(1) = a*(1 + 3)*(1 - 4) = -6

       a*4*(-3) = -6

       a*-12 =  -6

       a = -6/-12 = 1/2 = 0.5

Then the function is:

f(x) = 0.5*(x + 3)*(x - 4)

2) Now we have roots x = 2 and x = .3

Then:

x1 = 2

x2 = -3

Then this function is something like:

f(x) = a*(x - 2)*(x - (-3))

f(x) = a*(x - 2)*(x + 3)

Now we know that f(0) = 12.

then:

f(0) = a*(0 - 2)*(0 + 3) = 12

         a*(-2)*3 = 12

          a*(-6) = 12

          a = 12/-6 = -2

f(x) = -2*(x - 2)*(x + 3)

And we do not want this one written in factored form, so we can just distribute the multiplications to et:

f(x) =  -2*(x - 2)*(x + 3) = (-2*x + 4)*(x + 3) = -2*x^2 + 4*x - 6*x + 12

f(x) = -2*x^2 - 2*x + 12

Given:

The figure of a right angle triangle.

To find:

The value of y.

Solution:

If a right angle triangle,

[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]

In the given right triangle,

[tex]\cos (30^\circ)=\dfrac{4\sqrt{3}}{y}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{4\sqrt{3}}{y}[/tex]

[tex]\sqrt{3}\times y=2\times 4\sqrt{3}[/tex]

[tex]\sqrt{3}\times y=8\sqrt{3}[/tex]

Isolate the y variable.

[tex]y=\dfrac{8\sqrt{3}}{\sqrt{3}}[/tex]

[tex]y=8[/tex]

Therefore, the value of y is 8.

Given:

A rectangular piece of land has an area of [tex]\dfrac{3}{4}[/tex] square mile.

The land is [tex]2\dfrac{1}{2}[/tex] miles long.

To find:

The width of the rectangular land.

Solution:

We have,

Area of a rectangle =  [tex]\dfrac{3}{4}[/tex] square mile.

Length = [tex]2\dfrac{1}{2}[/tex] miles

We know that, area of a rectangle is

[tex]A=l\times b[/tex]

[tex]\dfrac{3}{4}=2\dfrac{1}{2}\times b[/tex]

[tex]\dfrac{3}{4}=\dfrac{2(2)+1}{2}b[/tex]

[tex]\dfrac{3}{4}=\dfrac{5}{2}b[/tex]

Multiply both sides by [tex]\dfrac{2}{5}[/tex], we get

[tex]\dfrac{2}{5}\times \dfrac{3}{4}=\dfrac{2}{5}\times \dfrac{5}{2}b[/tex]

[tex]\dfrac{6}{20}=b[/tex]

[tex]\dfrac{3}{10}=b[/tex]

Therefore, the width of the land is [tex]\dfrac{3}{10}[/tex] miles.

Answer: x = 2

Step-by-step explanation: the interior angles of a rhombus add to 360 degrees and since half of 360 is 180, create the equation 130 + (36 +7x) and set it equal to 180. when solved 130 + (36 +7x) = 180 you get x =2

answer

1st rearrange the terms. then subtract 36 in both sides.then you will get 94=7x then simplify  by dividing by 7. then you will get 13.4285714286. which if you round up maybe its 94/7.

[tex]\huge\text{Hey\ there!}[/tex]

[tex]\text{If k = 3, then SUBSTITUTE it for the K-VALUE}[/tex]

[tex]\bold{4k + 15}\\\bold{4(3)+15}\\\bold{4(3)=12}\\\bold{15=15}\\\bold{12+15=27}\\\boxed{\boxed{\bold{Answer: 27}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

n = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

-41 = -2/5(45n + 60) + n

Step 2: Solve for n

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Here we see that -41 does indeed equal -41.

∴ n = 1 is the solution to the equation.

Answer:

Attached

Step-by-step explanation:

Answer:

4x²y² + 20xy² + 25y²

Step-by-step explanation:

(a + b)² =  a² + 2ab + b²

a = 2xy   ; b = 5y

(2xy +5y)² = (2xy)² + 2*(2xy) * (5y)  +(5y)²

                 = 2²x²y² + 2* 2* 5 * x*y*y + 5²*y²

                =4x²y² + 20xy² + 25y²

Answer:

C. Keeping track of your debit card transactions will help avoid charges resulting from insufficient funds.

Step-by-step explanation:

Correct on TTM

Answer:

C

Step-by-step explanation:

Answer:

1 and 3

Step-by-step explanation:

Answer:

The answer is

[tex] \frac{1}{2} \: and \: \frac{ \sqrt{2} }{2} [/tex]

Step-by-step explanation:

Let The point (X, Y)

Since half of the diameter is equal to 1

Then

[tex] {x}^{2} + {y}^{2} = 1[/tex]

Why is the measurement of angle is equal to 60, this triangle was equal

Then

[tex] {(x - 1)}^{2} + {y}^{2} = 1[/tex]

By comparing the equals together

[tex] {x}^{2} = {(x - 1)}^{2} \\ {x}^{2} = {x}^{2} - 2x + 1 \\ 2x = 1 \\ x = \frac{1}{2} \\ Compensation \: in \: any \: equation \\ then \: y = \frac{ \sqrt{2} }{2} [/tex]