Answer question 6 for me thanks

The two boundary curves y = √(6x + 4) and y = 2x meet at

√(6x + 4) = 2x

6x + 4 = 4x²

2x² - 3x - 2 = 0

(x - 2) (2x + 1) = 0

⇒   x = -1/2 and x = 2

R is bounded to the left by the y-axis (x = 0), so R is the set

R = {(x, y) : 0 ≤ x ≤ 2 and 2x ≤ y ≤ √(6x + 4)}

Using the shell method, the volume is made up of cylindrical shells of radius x and height √(6x + 4) - 2x. So each shell of thickness ∆x contributes a volume of

2π (radius) (height) ∆x = 2π x (√(6x + 4) - 2x) ∆x

and as we let ∆x approach zero, the total volume of the solid is given by the definite integral

[tex]\displaystyle \boxed{2\pi \int_0^2 x \left(\sqrt{6x + 4} - 2x\right) \, dx}[/tex]

Answer:

4 ft squared

Step-by-step explanation:

2 add 2 is 4

4 multiplied by 4 is 16

16 divided by 2 is 8

8 divided by 2 is 4

Answer: no

Step-by-step explanation:

The ratio of the shorter sides is 27/5, which is equal to 3.4.

The ratio of the longer sides is 78/9, which is about 8.7.

Since the ratio of the longer sides is not equal to the ratio of the shorter sides, it is not a dilation.

Answer: I think B

Step-by-step explanation:

Answer: 45 degrees

Step-by-step explanation:

90-45 = 45

Answer:

Earn $50 every month.

[tex]\implies y = 50x + 1000[/tex]

This is a linear function.

Earn 3% interest each month.

(Assuming the interest earned each month is compounding interest.)

[tex]\implies y = 1000(1.03)^x[/tex]

This is an exponential function.

[tex]\large \begin{array}{| c | l | l |}\cline{1-3} & \multicolumn{2}{|c|}{\sf Account\:Balance} \\ \cline{1-3} & \sf Option\:1 & \sf Option\:2 \\\sf Month & \sf \$50\:per\:mth & \sf 3\%\:per\:mth \\\cline{1-3} 0 & \$1000 & \$1000 \\\cline{1-3} 1 & \$1050 & \$1030 \\\cline{1-3} 2 & \$1100 & \$1060.90 \\\cline{1-3} 3 & \$1150 & \$1092.73 \\\cline{1-3} 4 & \$1200 & \$1125.51 \\\cline{1-3} 5 & \$1250 & \$1159.27 \\\cline{1-3} 6 & \$1300 & \$1194.05 \\\cline{1-3} 7 & \$1350 & \$1229.87 \\\cline{1-3}\end{array}[/tex]

From the table of values, it appears that Account Option 1 is the best choice, as the accumulative growth of this account is higher than the other account option.

However, there will be a point in time when Account Option 2 starts accruing more than Account Option 2 each month.  To find this, graph the two functions and find the point of intersection.

From the attached graph, Account Option 1 accrues more until month 32.  From month 33, Account Option 2 accrues more in the account.

If the money is going to be invested for less than 33 months then Account Option 1 is the better choice.  However, if the money is going to be invested for 33 months or more, then Account Option 2 is the better choice.

Answer:

above

Step-by-step explanation:

the entire method for the question is linked above :)

Answer:

you probably moved on, but for everyone else:

y= 5/2x + 30

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

they're not same because no angles are mentioned and sides are diff too

Answer:

Rate is 1.1333 words per second

Step-by-step explanation:

We understand rating as frequency or speed of doing something per time (seconds mainly)

[tex]{ \green{ \tt{rate = \frac{item \: quantity}{time} }}} \\ [/tex]

Let's find rate in terms of seconds (words per second)

[tex]{ \rm{rate = \frac{34 \: words}{ (\frac{1}{2} \times 60) \: seconds} }} \\ \\ { \rm{rate = \frac{34}{30} }} \\ \\ { \rm{rate = 1.133 \: \: words \: per \: second}}[/tex]

Answer:

Number #1

Step-by-step explanation:

#1 isn't a function

Answer:

Choice 3 is not a function.

Step-by-step explanation:

Reason: It has points (1,3) and (1,7). X cannot repeat otherwise it is not a function.

Hope this helps!

If not, I am sorry.

Put n=50

P(50)

Option C

Answer:

C

Step-by-step explanation:

To find the cost for 50 televisions:

We put the value of n=50

P(50)

1200(50)+700

60000+700

60, 700

Option C

Answer:

45°

Step-by-step explanation:

ΔABC is an isosceles right triangle. So, one angle is 90°

In an isosceles triangle, base angles are congruent.

Let the base angles be x ,x

x + x +90 = 180 {Angle sum property}

   2x + 90 = 180

          2x  = 180 - 90

          2x = 90

            x = 90/2

           x = 45

Base angle = 45°

Step-by-step explanation:

[tex]x - 23 = 57 \\ x = 57 + 23 \\ x =80 \\ \\ \frac{2}{3}x = 7 \\ ( \frac{3}{2}) \frac{2}{3}x = 7( \frac{3}{2}) \\ x = \frac{21}{2} [/tex]

Answer:

y = -3/4x + 2

Step-by-step explanation:

The line is parallel to y = -3/4x and passes through the point (4, -1)

=============================================================

Solving :

⇒ As they are parallel, the slope remains the same (-3/4)

Now apply into the point slope formula :

⇒ y + 1 = -3/4 (x - 4)

⇒ y + 1 = -3/4x + 3

⇒ y = -3/4x + 2 [in slope-intercept form]

Answer:

see the attachment photo!

Answer:

f(g(x))= x

Step-by-step explanation:

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

g(x) =(2x+3)/4

f(g(x)) means use the value obtained from g(x) in the equation defined by f(x).  Since g(x) =(2x+3)/4, we can substitute (2x+3)/4 in place of the x in f(x).

If f(x)=(4x-3)/2 then use the expression (2x+3)/4 in place of "x" in (4x-3)/2

f(x)  =    (4x-3)/2

g(x) =       (2x+3)/4

f(g(x))=(4((2x+3)/4)-3)/2

f(g(x))=(((8x+12)/4)-3)/2

f(g(x))= (2x+3-3)/2

f(g(x))= 2x/2

f(g(x))= x

Answer:

-58

Step-by-step explanation:

x + -5 = -63

x = -63+(-5)

x =- 58

Answer:

The angle's beginning and ending points are referred to as the initial and terminal sides, respectively. Distance from the origin and two angles are the three parameters of 3D polar coordinates or spherical coordinates. is a three-dimensional polar coordinate.

Step-by-step explanation:

Read above.

Answer:

60

Step-by-step explanation:

Use PEMDAS (parentheses, exponent, multiply, divide, addition, subtraction)

First, substitute 5 for x:

3(3(5) + 5)

Multipliy inside the parentheses:

3(15 + 5)

Add inside the parentheses:

3(20)

Multiply:

60

There's your answer! Hope I helped.

Answer:

A data represent an exponential function because there is a common ratio of 1

Answer:

this equation has no solutions.

Step-by-step explanation:

2x+3 = 2x+7

3=7

[tex]~~4\sqrt{15} \left( 2\sqrt 2 + \sqrt 5 \right)\\\\=8\sqrt{15} \sqrt 2 + 4\sqrt{15} \sqrt 5\\\\=8\sqrt{15\times 2}+4 \sqrt{15 \times 5}\\\\=8\sqrt{30}+4\sqrt{3 \times 5 \times 5}\\\\=8\sqrt{30} + 4 \sqrt{3\times 5^2}\\\\=8\sqrt{30} + 4\cdot 5 \sqrt 3\\\\=8\sqrt{30} +20\sqrt{3}[/tex]

Answer: y - 17 = -2(x-7)

Step-by-step explanation:

point-slope form: y - y1 = m(x - x1)

m = y2-y1/x2-x1

   = 9+17/-6-7

   = 26/-13

   = -2

y1 = -17

x1 = 7

y - 17 = -2(x-7)

The equation represents a line that is parallel to the line that passes through the points (−6,9) and (7,−17) is y =  -2x - 3

The general equation of a straight line is-

y = mx + c

where, m is the gradient and is given by y₂ - y₁/x₂ - x₁

and, c is the value where the line cuts y-axis.

Now it is given that the line passes through points (−6,9) and (7,−17)

Therefore we have,

x₁ = -6, y₁ = 9, x₂ = 7, y₂ = -17

So, the slope m of the line is given as,

m = (y₂ - y₁)/(x₂ - x₁)

Put the values,

m = (-17 - 9)/(7 - (-6))

m = -26/7+6

m = -26/13

m = -2

Thus, the equation parallel to the line will be given as:

y - y₁ =  m(x - x₁)

y - 9 =  -2{x - (-6)}

y - 9 =  -2(x + 6)

y =  -2x - 12 + 9

y =  -2x - 3

Thus, the equation represents a line that is parallel to the line that passes through the points (−6,9) and (7,−17) is y =  -2x - 3

More about equation of line :

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Answer:

mean 38.22

median 34

mode 13 & 34

range 56

Step-by-step explanation:

mean- add all values together and divide by number of values

median- order from least to greatest find the middle value

mode- the value that appears most often, can be more than one value

range- smallest value subtracted from the largest

A circle could be circumscribed about the quadrilateral is true.

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points

If opposite angles of a quadrilateral add to 180 then it is called a cyclic quadrilateral and a circle can be inscribed in it.

Here, the opposite sides are 115 and 65

115+65=180

The other opposite sides have 90 and 90

90+90=180, which means that it is true that a circle can be circumscribed about the quadrilateral above.

Hence, A circle could be circumscribed about the quadrilateral is true.

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An expression is defined as a set of numbers, variables, and mathematical operations. The expression that represents losing more than 500 points is x<-500.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given In a computer game positive numbers represent earning points and negative numbers represent losing points. Therefore, the loss of more than 500 points is given by the inequality,

x< -500

Hence, the expression that represents losing more than 500 points is x<-500.

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The measures of center and variability for the

temperatures that were lower this week than last week include mean, range, mean absolute deviation.

It should be noted that a mean simply means the average set if numbers given.

Also, the range is the difference between the highest number and the lowest number in the data.

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Answer:

mean,range,mean absolute deviation

Step-by-step explanation:

just took it on edge