Help find the volume of the figure in terms of Pi.

Answer:

A function is increasing when the gradient is positive

A function is decreasing when the gradient is negative

Question 7

If you draw a tangent to the curve in the interval x < -2 then the tangent will have a positive gradient, and so the function is increasing in this interval.

If you draw a tangent to the curve in the interval x > -2 then the tangent will have a negative gradient, and so the function is decreasing in this interval.

If you draw a tangent to the curve at the vertex of the parabola, it will be a horizontal line, and so the gradient at x = -2 will be zero.

The function is increasing when x < -2

[tex](- \infty,-2)[/tex]

The function is decreasing when x > -2

[tex](-2, \infty)[/tex]

Additional information

We can actually determine the intervals where the function is increasing and decreasing by differentiating the function.

The equation of this graph is:

[tex]f(x)=-2x^2-8x-8[/tex]

[tex]\implies f'(x)=-4x-8[/tex]

The function is increasing when [tex]f'(x) > 0[/tex]

[tex]\implies -4x-8 > 0[/tex]

[tex]\implies -4x > 8[/tex]

[tex]\implies x < -2[/tex]

The function is decreasing when [tex]f'(x) < 0[/tex]

[tex]\implies -4x-8 < 0[/tex]

[tex]\implies -4x < 8[/tex]

[tex]\implies x > -2[/tex]

This concurs with the observations made from the graph.

Question 8

This is a straight line graph. The gradient is negative, so:

The function is decreasing for all real values of x

[tex](- \infty,+ \infty)[/tex]

But if they want the interval for the grid only, it would be -4 ≤ x ≤ 1

[tex][-4,1][/tex]

Question 9

If you draw a tangent to the curve in the interval x < -1 then the tangent will have a negative gradient, and so the function is decreasing in this interval.

If you draw a tangent to the curve in the interval x > -1 then the tangent will have a positive gradient, and so the function is increasing in this interval.

If you draw a tangent to the curve at the vertex of the parabola, it will be a horizontal line, and so the gradient at x = -1 will be zero.

The function is decreasing when x < -1

[tex](- \infty,-1)[/tex]

The function is increasing when x > -1

[tex](-1, \infty)[/tex]

Answer:

7:15

Step-by-step explanation:

Total Students = 14+16 = 30

14:30

Divide by 2 on Both Sides

7:15

Answer: 7 to 15 hope it helps pretty Shure it will

Step-by-step explanation: I took the quiz

Answer:

0.667x

Step-by-step explanation:

150% = x

100% = ?

=> 100% * x / 150% = 0.667x

Answer:

Step-by-step explanation:

Answer:

Lateral surface: 135.34

surface area: 185.61

Step-by-step explanation:

Lateral surface formula: AL=πrh2+r2

surface area formula: A=πr(r+h2+r2)

Answer:

Step-by-step explanation:

Selling price = Cost price + Marked price - discount

            s   =  c + m - d

Answer:

It would take 6.4 fluid ounces. i think I got the same chainsaw or at least gas mix

Answer:

x≈49.457

y≈40.543

using trigonometry

Step-by-step explanation:

you basically jump type in the calculator shift then press the (sin/cos/tan) then put the ratio

Answer:

it's C

Step-by-step explanation:

i took the test and got it right

Answer:

it's [C]  I got it right on my test

Step-by-step explanation:

Let's solve this problem step-by-step

Let's set:

   2x + 6y = 36 -- equation 1

   x + 4y = 20 -- equation 2

(equation 2) * 2

   2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

   2y = 4

   y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

   x + 4(2) = 20

   x = 20 - 8

   x = 12

Thus x = 12 and y = 2

Let's check, by substituting these values

  [tex]2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20[/tex]

Answer: x = 12 and y = 2

Hope that helps!

Answer:

575 if your asking for the area

Step-by-step explanation:

Answer:

The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

Step-by-step explanation:

Step 1:  Order from least to greatest

51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98

Step 2:  Determine the median of the lower half of the data

There are 12 numbers which means that there is going to be 6 numbers on both sides of the data.  So using the first 6 numbers we will be able to determine the median of the lower half of the data.

51, 56, 62, 72, 79, 81

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

(62 + 72) / 2 = 67

Step 3:  Determine the median of the upper half of the data

So using the first 6 numbers we will be able to determine the median of the upper half of the data.

82, 85, 89, 95, 97, 98

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

(89 + 95) / 2 = 92

Answer: The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

Answer:

2nd one - blue triangle

Step-by-step explanation:

A right angle triangle is a triangle that has a angle of 90°

Therefore our answer is second one - blue triangle.

Hope this helps and branliest please

Answer:

2nd triangle.

Step-by-step explanation:

For a triangle to be considered as a eight triangle it should have one angle which is equal to 90° in measure.

Here, the second triangle has 90° & hence is a right triangle.

________

Hope it helps ⚜

Answer: D.

Step-by-step explanation:

The equation [tex]f(x) = (x-1)^{2} - 2[/tex] works only for option D. If x is 2, for example, the equation would look like this: [tex]f(2) = (2-1)^{2} - 2[/tex]. This equals [tex](1)^{2} - 2[/tex] which equals negative one. Therefore, when x is 2, y is -1. All of the graphs have the point (2, -1). We can still tell though that it is not A or B because there are spaces in between the points. If x = 2.2, the equation would not work for A or B because there is not a point with an x value of 2.2. This is different for both C and D. Δ

Answer C ends off early. There are endpoints to the figure. If x = 4, the equation would not work. This is because there is no point in answer C that has an x value of 4. On the other hand, question D does have a point with an x value of 4.

If x = 4, the equation looks like [tex]f(4) = (4-1)^{2} - 2[/tex].

We can simplify this to [tex]f(4) = (3)^{2} - 2[/tex]

and then [tex]f(4) = 7[/tex]

This means that when x is 4, y is 7. This is true for no graph but option D. Therefore the answer to this problem is D.

Answer:

the region occupied in a plane is called area

Answer:

6 art course and 7 writing coures

Answer:

1,637.984

hope this helps

solving the equation given to us first:

-5x/2 = 5/1 ( ignore the ≤ symbol for now and replace with =) and cross multiply

you will get

-5x = 10

x = -10/5 ( minus doesn't stay in denominator so so we take up to numerator )

x = -2

so x ≤ -2

NOTE: if we have ≤ we shade the dot but if we have just < or we don't shade the dot.

soooo

x ≤ -2 will be going backwards

so the answer is option (C).

Hope this helps.

Good luck.

Answer:

(2, -1)

Step-by-step explanation:

Given

Solving

Correlation coeffiencients is used to determine the relationships between data, Correlation coefficients can test two or more variable(s) at a time

This is a linear correlation between sets of data. This coefficient can only be between -1 and 1.

Positive values show a positive correlation while a negative value shows negative correlation.  A correlation coefficient of zero shows no relationship between variables.

Based on the explanation, we can conclude that Correlation coefficients can test two or more variable(s) at a time

Learn more on correlation here: https://brainly.com/question/4219149

Answer:

212

Step-by-step explanation:

starting with (xy)

you first plug in x=2 and y=3

(2×3) = 6

then we add in the exponent of 3

6^3 = 216

this is because an exponent shows you how many times the number is multiple by itself (6×6×6)

next we work on x^4 by plugging in x=2

2^4=16

2×2×2×2

we do the same for x^2

2^2=4

2×2

next we do the division

16/4=4

finally we take the 216 and 4 and do the subtraction

216-4=212

Answer:

       [tex]\huge\boxed{\sf 10x^2-13x-3}[/tex]

Step-by-step explanation:

[tex]=(2x-3)(5x+1)\\\\=2x(5x+1)-3(5x+1)\\\\Distribute\\\\= 10x^2+2x-15x-3\\\\= 10x^2-13x-3\\\\\rule[225]{225}{2}[/tex]

A complex number is a part of a number system that includes a real unit and an imaginary unit. All the statements are true except C and E.

A complex number is a part of a number system that includes the real numbers as well as a particular element labelled i, sometimes known as the imaginary unit, and which obeys the equation i² = 1.

As it is given that x=(a+bi), y=(c+di), and z=(f+gi), therefore, we need to plug in the values to check which all are true.

A.) x+y=y+x

[tex]x+y=y+x\\a+bi+c+di=c+di+a+bi[/tex]

As the two sides of the equation are equal, the equation is true.

B.) (x × y) × z = x × (y × z)

[tex](x \times y) \times z = x \times (y \times z)\\\\\ [ (a+bi) \times (c+di) ]\times (f+gi) = (a+bi) \times [(c+di) \times (f+gi)]\\\\(ac+adi+bci-bd) \times (f+gi)= (a+bi) \times (cf+cgi+fdi-dg)[/tex]

[tex](ac+adi+bci-bd) \times (f+gi)= (a+bi) \times (cf+cgi+fdi-dg)\\\\\\acf+adfi+bcfi-bdf+acgi-adg-bcg-bdgi = acf+acgi+afdi-adg + bcfi-bcg-bfd-bdgi[/tex]

As the two sides of the equation are equal, the equation is true.

C.) x−y=y−x

[tex]x-y=y-x\\\\(a+bi)-(c+di)=(c+di)-(a+bi)\\\\a+bi-c-di=c+di-a-bi[/tex]

As the two sides of the equation are not equal, the equation is not true.

D.) (x+y)+z=x+(y+z)

[tex](x+y)+z=x+(y+z)\\\\(a+bi+c+di)+f+gi = a+bi+(c+di+f+gi)\\\\a+bi+c+di+f+gi = a+bi+c+di+f+gi[/tex]

As the two sides of the equation are equal, the equation is true.

E.) (x−y)−z=x−(y−z)

[tex](x-y)-z=x-(y-z)\\\\(a+bi-c-di)-f-gi = a+bi-(c+di-f-gi)\\\\a+bi-c-di-f-gi =a+bi-c-di+f+gi)[/tex]

As the two sides of the equation are not equal, the equation is not true.

Hence, all the statements are true except C and E.

Learn more about Complex Number:

https://brainly.com/question/12464608

Answer:

The answers are in the image.

Step-by-step explanation:

Charlie made the mistake by not getting the equation equal to zero.

[tex]x^2 - 9x + 8 = 16[/tex]

Subtract 16 to both sides making it equal to 0.

[tex]x^2 - 9x - 8 = 0[/tex]

Using Quadratic Formula to Solve for x.

Answer:

-9²

81¹

They both are equal to 81.

Answer:

x=2

Step-by-step explanation:

1) -13 on each side (7x=14)

2) Divide by 7 on each side (x=2)

3) x=2

Answer:

V = Bh = πr2h

Step-by-step explanation: