An angle whose measure is 405 is in standard position. In what quadrant does the terminal side of the angle fall?

6x+y=4x+11

y=4x+11-6x

y=-2x+11

[tex]\(y = 11 - 2x\)[/tex] is the rearranged equation with [tex]\(x\)[/tex] as the independent variable.

To rearrange the equation [tex]\(6x + y = 4x + 11\)[/tex] so that (x\) is the independent variable and (y) is dependent, we need to isolate (y) on one side of the equation.

Start with the given equation: [tex]\(6x + y = 4x + 11\)[/tex].

Subtract (4x) from both sides to move all terms involving (y) to one side: [tex]\(6x - 4x + y = 11\).[/tex]

Simplify the left side by combining like terms: 2x + y = 11.

To isolate y, subtract 2x from both sides: 2x + y - 2x = 11 - 2x.

Simplify: [tex]\(y = 11 - 2x\)[/tex].

So, the rearranged equation with (x) as the independent variable is y = 11 - 2x.

Detailed calculation:

Starting equation: (6x + y = 4x + 11)

Subtract (4x) from both sides:

[tex]\(6x - 4x + y = 4x - 4x + 11\)[/tex]

[tex]\(2x + y = 11\)[/tex]

Subtract (2x) from both sides:

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

[tex]\(y = 11 - 2x\)[/tex]

Therefore, [tex]\(y = 11 - 2x\)[/tex] is the rearranged equation with [tex]\(x\)[/tex] as the independent variable.

Answer:

your answers are 2,and 18

Step-by-step explanation:

none of the above

This question wants you to see that the radical can be simplified because it is ...

[tex]f(x)=\sqrt{(x+6)^2}[/tex]

The answer choices show you are expected to simplify this to ...

... f(x) = x +6

Then

... f(x)·g(x) = (x+6)(x³ -12) = x⁴ +6x³ -12x -72 . . . . . matches choice C

_____

However,

... f(x) = |x+6| . . . . . . . √(x^2) = |x|, the positive root regardless of sign of x

so the product f(x)·g(x) only matches selection C for x≥ -6. It matches the opposite of selection C for x ≤ -6.

The attached graph shows this. It graphs f(x), g(x), f(x)·g(x) (as a purple curve), and selection C (as orange dots).

Answer:

(-3x+30)

Step-by-step explanation:

We first distribute: 4(x+7) = 4x+28

Then, we bring it down.

4x+28-7x=2

Combine like terms.

4x+(-7x) = -3x ... 28+2 = 30.

Combine both results.

-3x+30

Answer:

[tex]-3x+30[/tex]

Step-by-step explanation:

We have been given an expression [tex]4(x+7)-7x+2[/tex]. We are asked to simplify our given expression.

Using distributive property [tex]a(b+c)=ab+ac[/tex], we will get:

[tex]4*x+4*7-7x+2[/tex]

[tex]4x+28-7x+2[/tex]

Combine like terms:

[tex]4x-7x+2+28[/tex]

[tex]-3x+30[/tex]

Therefore, the simplified form of our given expression would be [tex]-3x+30[/tex].

Answer: Full price of Drug Y = $98.793

Step-by-step explanation:

Cost of 500 tablet = $425

28% markup = 425 * 28/100

= $119

Cost + markup = $425 + $119 = $544

Cost + markup + dispensing fee = $544 + $4.85 = $548.85

Full price of 500 tablet = $548.85

Full price of 1 tablet = $548.85/500

=$1.0977

Full price of 90 tablet = $1.0977 * 90

= $98.793

46 × 12 = 46 × (10 + 2)  =

= (46 × 10 ) + (46 × 2)  

= 460 + 92

= 552

Answer:

15 4/9 inches long

Step-by-step explanation:

5 4/9 × 3

When lining them vertically the 3 ends up under 5 in which you multiply and transfer the 4/9 next to the product of 15. Hope that helped!

The king size chocolate bar is three times as long as the regular bar, so given that the regular bar is 5 4/9 inches long, the king size bar is 16 1/3 inches long.

The problem involves a regular size chocolate bar that is 5 4/9 inches long and a king size bar that is three times as long. Given the length of the regular bar, our objective is to find out how long the king size bar is.

We start by converting the mixed number 5 4/9 into an improper fraction which gives us 49/9 inches. We then multiply 49/9 by 3 to get the length of the king size bar which is 147/9 inches. Converting this improper fraction back into a mixed number, we get 16 1/3 inches. Therefore, the king size bar is 16 1/3 inches long.

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Answer:

WTH IDOT SCR*W YOU

Step-by-step explanation:

Answer:

a and e

Step-by-step explanation:

Answer:

D[tex]_o[/tex] of Y = (-3/2, -1)

Step-by-step explanation:

We are given three points on the graph:

X (4, 0)

Y (3, 2)

Z (2, 2)

and the scale factor of dilation which is [tex]-\frac{1}{2}[/tex].

Given that, we are to find the coordinates of Y after dilation. To find that, we will multiply the coordinates of the point Y with the scale factor.

Y =  [tex](-\frac{1}{2}[/tex] × [tex]3[/tex] , (-\frac{1}{2}[/tex] × [tex]2)[/tex]

Y = [tex](-\frac{3}{2} , -1)[/tex]

Answer:

x=6 ; y=1

Step-by-step explanation:

Let 'y' stand for the speed of the wind and 'x' stand for the speed of Santa. We will use the general equation (distance)=(rate)(time) to write two equations from the given information:

With the wind:

35=(x+y)(5)

Against the wind:

35=(x-y)(7)

Now we have two equations and two unknowns so we can solve for x and y. We get:

x=6 miles/min

y=1 miles/min

Answer:

13.48

Step-by-step explanation:

No, George do not have enough money for his plan of watching movie and purchase the items. So, the numerical expression is 15 - (9+2.65+2(1.35)+2(1.74)).

Given that, George has $15.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The numerical expression for the given situation is

15 - (9+2.65+2(1.35)+2(1.74))

= 15 - (9+2.65+2.7+3.48)

= 15 - 17.83

= -2.83

No, George do not have enough money for his plan of watching movie and purchase the items. So, the numerical expression is 15 - (9+2.65+2(1.35)+2(1.74)).

To learn more about an expression visit;

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Elimination Method

[tex]\left\{\begin{array}{ccc}36x+45y=123&\text{divide both sides by (-3)}\\46x+15y=23\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-12x-15y=-41\\46x+15y=23\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad34x=-18\qquad\text{divide both sides by 34}\\.\qquad\qquad x=-\dfrac{18}{34}\to\boxed{x=-\dfrac{9}{17}}\\\\\text{Put the value of x to the second equation.}\\\\46\left(-\dfrac{9}{17}\right)+15y=23[/tex]

[tex]-\dfrac{414}{17}+15y=\dfrac{391}{17}\qquad\text{add}\ \dfrac{414}{17}\ \text{to both sides}\\\\15y=\dfrac{805}{17}\qquad\text{divide both sides by}\ 15\\\\y=\dfrac{805}{255}\\\\\boxed{y=\dfrac{161}{51}}\\\\Answer:\ \boxed{x=-\dfrac{9}{17}\ and\ y=\dfrac{161}{51}}[/tex]

Answer:

See below.

Step-by-step explanation:

Original   Doubled    Ingredient  

1½ c        ⟶ 3 c          all-purpose flour  (2×1½ = 2×1 + 2×½ = 2+1 = 3)

1 tsp        ⟶ 2 tsp      salt  

1 Tbsp    ⟶ 2 Tbsp   sugar

1 Tbsp    ⟶ 2 Tbsp   baking powder

⅓ c         ⟶ ⅔ c        vegetable shortening

⅔ c        ⟶ 1⅓ c        buttermilk  (2×⅔ = ⁴/₃ = 1⅓)

Hey there!

[tex]-3(e-6)= 39[/tex]

[tex]-3(e)[/tex] [tex]+[/tex] [tex]-3(-6)[/tex] [tex]= 39[/tex]

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

Answer:

50 sq. units

Step-by-step explanation:

The length of the base and the height of a triangle are numerically equal.

Let us assume that, the length and height as x.

So the area of the triangle will be,

[tex]\text{Area}=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{x^2}{2}[/tex]

As their sum is 30 less than the number of units in the area of the triangle, so

[tex]\Rightarrow x+x=\dfrac{x^2}{2}-30[/tex]

[tex]\Rightarrow 2x=\dfrac{x^2}{2}-30[/tex]

[tex]\Rightarrow 4x=x^2-60[/tex]

[tex]\Rightarrow x^2-4x-60=0[/tex]

[tex]\Rightarrow x^2-10x+6x-60=0[/tex]

[tex]\Rightarrow x(x-10)+6(x-10)=0[/tex]

[tex]\Rightarrow (x+6)(x-10)=0[/tex]

[tex]\Rightarrow (x+6)=0,(x-10)=0[/tex]

[tex]\Rightarrow x=-6,x=10[/tex]

Neglecting negative roots,

[tex]\Rightarrow x=10[/tex]

Hence, the base and height of the triangle is 10 units, so the area will be,

[tex]\text{Area}=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{1}{2}\cdot 10\cdot 10=50\ unit^2[/tex]

Answer: B. 2/5 of the book.

B. 72 + 78 + 70 + x > 289

Answer:

135 Miles

Step-by-step explanation:

Answer:

At the nearest mile, stations B and C are 75 miles apart.

Step-by-step explanation:

In the attached image we can see all the three stations. The closest distance between stations B and C would be a straight line that can be calculate using the Cosine Rule:

[tex](BC)^2=(AB)^2+(AC)^2-2(AB)(BC)cos(\alpha)[/tex]}

Where:

AB is the distance between stations A and B

AC is the distance between stations A and C

α is the angle formed between the AC and AB railway lines

[tex](BC)^2=(105)^2+(85)^2-2(105)(85)cos(45)[/tex]

[tex]BC=75.02 miles[/tex]

So, at the nearest mile, stations B and C are 75 miles apart.

Answer:  25 miles

Step-by-step explanation:

Since, the total distance = 31 miles.

Let he walks x miles at the rate of 4 miles per hour.

⇒ he walks remaining (31-x) miles at the rate of 50 miles per hour.

According to the question,

[tex]\frac{x}{4} + \frac{31-x}{50} = 2[/tex]

⇒ [tex]\frac{25x}{100} + \frac{62-2x}{100} = 2[/tex]

⇒  [tex]\frac{25x+62-2x}{100}= 2[/tex]

⇒  [tex]\frac{23x+62}{100}= 2[/tex]

⇒ [tex]23 x + 62 = 200[/tex]

⇒ [tex]23 x = 200 - 62[/tex] ( by subtracting 62 on both sides )

⇒  [tex]23 x = 138[/tex]

⇒ [tex]x=\frac{138}{23}[/tex] ( Dividing both sides by 23 )

⇒ [tex]x = 6[/tex]

Thus, the distance he pays to the cab driver = 31-x= 31 - 6 = 25 miles.

Therefore, He pays to the cab driver for 25 miles.

Distance that must be paid to the taxi = 25 miles

Linear motion consists of 2: constant velocity motion with constant velocity and uniformly accelerated motion with constant acceleration

• At constant velocity motion:

the speed of vo = v = constant

acceleration = a = 0

An equation of constant velocity motion

[tex]\large {\boxed {\bold {x = v \times \: t}}}[/tex]

x = distance = m

v = speed = m / s

t = time = seconds

so

[tex]\rm t=\dfrac{x}{v}[/tex]

A mountain path is 31 miles long

The distance traveled by tourists = x1

The distance traveled taxi = x2, such that

x1 + x2 = 31

x1 = 31-x2

total travel time (t) = 2 hours

tourist speed = v1 = 4 mph

taxi speed = v2 = 50 mph

time taken by tourists = t1

[tex]\rm \dfrac{x1}{v1}=\dfrac{x1}{4}[/tex]

the time taken by taxi = t2

[tex]\rm \dfrac{x2}{v2}=\dfrac{x2}{50}[/tex]

total time = t1 + t2

[tex]\rm 2=\dfrac{x1}{4}+\dfrac{x2}{50}\\\\2=\dfrac{25x1+2x2}{100}\\\\200=25(31-x2)+2x2\\\\200=775-25x2+2x2\\\\575=23x2\\\\x2=\boxed{\bold{25~miles}}[/tex]

The distance of the elevator

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resultant velocity

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the average velocity

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Answer:

2144.66cm I think

Step-by-step explanation:

Simplify 2/3 + n + 6 to n + 20/3

n + 20/3 = 3/4

Subtract 20/3 from both sides

n = 3/4 - 20/3

Simplify 3/4 - 20/3 to - 71/12

n = -71/12

Answer:

Step-by-step explanation:

First Question

What you need to do here is pick an answer that will result in a decrease. If you have something like 1.3 * e ^ (0.038 * t), what will happen when t = 20

P = 1.3 * e^(0.038*20) = 1.3*e^0.76 = 2.77 which is getting bigger not smaller.

So what you want is something like 1.3 * e^-0.76 = 0.67

So which question is configured that way?

It's either C or D. but which one? It cannot be D. 0.38 is far too big: it does not represent 3.8%

C does represent 3.8% as a decimal. It is the correct answer.

Answer: C

Second Question

Every time she sells a ticket, the total that she gets is 4 more than what she had before.

The variation is a direct one. It is y = k*x. But what is k? Is it 4 or is it 1/4?

Read the first sentence above. She gets 4 dollars more, not 1/4 of a dollar.

C and D are both wrong because those equations think she is getting 1/4 more.

B is wrong because it says that the relationship is inverse. It is not. It is direct.

The answer is A

To find the percent, divide 9 by 27 to get a decimal, then multiply the decimal by 100 to get the percent:

9 / 27 = 0.333

0.333 x 100 = 33.3%

Answer:

33.33%

Step-by-step explanation:

9/27*100

=0.3333*100

=33.33%

[tex]8x^2-12x-8=4(2x^2-3x-2)=4(2x^2-4x+x-2)\\\\=4[2x(x-2)+1(x-2)]=4(x-2)(2x+1)\\\\\boxed{ 8x^2-12x-8 =4(x-2)(2x+1)}[/tex]

Answer:

4(2x+1)(x-2)

Step-by-step explanation: I just did it

Answer:

Option C is correct.

(1, 4)

Step-by-step explanation:

A system of equation is given :

2x + 3y =12                 .....[1]

4x + 2y =10                 .....[2]

Multiply equation [1] by 2 both sides we get;

[tex]2(2x+3y) = 2(12)[/tex]

Using distributive property i,e [tex]a \cdot(b+c) = a\cdot b+ a\cdot c[/tex]

4x + 6y = 24                           .....[3]

Subtract equation [2] from [3] to eliminate x we get;

4x + 6y - 4x - 2y= 24 - 10

Combine like terms;

4y = 14

Divide both sides by 4 we get;

y = 3.5

Substitute the value of y in equation [1] we have;

2x + 3(3.5) =12

2x + 10.5 = 12

or

2x = 12 -10.5

2x = 1.5

Divide both sides by 2 we get;

x = 0.75

Solution = (0.75 , 3.5)

Best estimate solution =  (1, 4)

Therefore, the best estimate solution of the given system of equation is, (1, 4)

Answer:

1,4 is the best estimate.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

There isn't any number that x can't be. Start with a graph to show how this could be so.

It is easy to see that x > 0 gives a line that goes very near the x axis. It is not quite so easy to see that it never touches the x axis. But if you recreate the graph in  Desmos, you will see that is true if you spread the x's out.

It is not quite so easy to see that when x<0 the graph tips upward very quickly but again if you move the values of the axis around you will see there is no value that x cannot be.

Answer:

B:All real numbers