Bo and Erica are yoga instructors. Between the two of them, they teach 48 yoga classes each week. If Erica teaches 12 fewer than twice as many as Bo, how many classes does each instructor teach per week?

Step-by-step explanation:

y=mx+c

2=2(1)+c

c=2-2

c=0

For the function to be an odd function, then f(-x) = -f(x) and the function f(x) is not an odd function

The function f(x) is given as:

f(x) = x^2

For the function to be an odd function, then the following must be true:

f(-x) = -f(x)

So, we have:

f(-x) = (-x)^2 = x^2

-f(x) = -x^2

From the above computation, we can see that the functions f(-x) and -f(x) are not equal

Hence, the function f(x) is not an odd function

Read more about odd functions at:

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i believe it is called a parameter

can't understand ur question proper is that ∠bgh= z, ∠chi=y, ∠hif=x

can u confirm me

and in ur answer x= 80°

because it is an alternate angle of y

Answer:

[tex]\textsf{a)}\quad y=8x^2+2x-3[/tex]

[tex]\textsf{b)}\quad y=x^2-2x-4[/tex]

Step-by-step explanation:

Given information:

[tex]x^2+bx+c=0[/tex]

[tex]x_1+x_2=-b[/tex]

[tex]x_1x_2=c[/tex]

Part (a)

[tex]\textsf{If}\quad x_1=\dfrac12\quad\textsf{and}\quad x_2=-\dfrac34[/tex]

[tex]\begin{aligned}\implies -b & =\dfrac12+\left(-\dfrac34\right)\\ & = \dfrac24-\dfrac34\\ & =-\dfrac14\end{aligned}[/tex]

[tex]\begin{aligned}\implies c & =\dfrac12 \cdot \left(-\dfrac34\right)\\ & = \dfrac{1 (-3)}{2 \cdot 4}\\ & =-\dfrac38\end{aligned}[/tex]

Substituting the found values of b and c into [tex]x^2+bx+c=0[/tex]

[tex]\implies x^2+\dfrac14x-\dfrac38=0[/tex]

Multiply both sides by 8 so that coefficients are integers:

[tex]\implies 8x^2+2x-3=0[/tex]

Therefore, the final quadratic equation is:

[tex]y=8x^2+2x-3[/tex]

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

Part (b)

[tex]\textsf{If}\quad x_1=1+\sqrt{5}\quad\textsf{and}\quad x_2=1-\sqrt{5}[/tex]

[tex]\begin{aligned}\implies -b & =(1+\sqrt{5})+(1-\sqrt{5})\\ & = 1+1+\sqrt{5}-\sqrt{5}\\ & =2\end{aligned}[/tex]

[tex]\begin{aligned}\implies c & =(1+\sqrt{5})(1-\sqrt{5})\\ & = 1-\sqrt{5}+\sqrt{5}-5\\ & =-4\end{aligned}[/tex]

Substituting the found values of b and c into [tex]x^2+bx+c=0[/tex]

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

Therefore, the final quadratic equation is:

[tex]y=x^2-2x-4[/tex]

Answer:

The question has some missing details such as ; Use cylindrical shells to find the volume of the remaining solid if the remaining solid is 8cm high. I have however solved it using the value of 8cm, you can use the same approach to solve for the volume irrespective of the value of the height you are given.

Step-by-step explanation:

The detailed step by step analysis and appropriate Integration by susbtitution in order to get the volume of the remaining solid is as shown in the attached file.

Answer:

126

Step-by-step explanation:

[tex]V = A * h = \frac{1}{4} * \pi * d^{2} * h = A * h = \frac{1}{4} * 3.14 * 36 * 5 = 141.3\\ \\V_{empty} = A * h = \frac{1}{4} * \pi * d^{2} * h = \frac{1}{4} * \pi * 4 * 5 = 15.7[/tex]

[tex]V_{full} = V - V_{empty} = 141.3 - 15.7 = 125.6 \approx 126[/tex]

Answer:A

Step-by-step explanation:

because i just know iot is

Answer:

y = 1/4

Step-by-step explanation:

substitute the given value of x = -1 into the equation.

y^2^2 (^-1) =2^-2 = 1/2^2 = 1/4

Answer:

c. $750

Step-by-step explanation:

the perimeter is 80m

80÷8=10

10*75=750

Answer:

  48.8 lbs

Step-by-step explanation:

The forces can be modeled by a triangle with acute angles 20° and 26°, and obtuse angle 134° opposite a side of length 80. The larger component force will be opposite the angle 26°, and can be found using the Law of Sines:

  a/sin(A) = c/sin(C)

  x/sin(26°) = 80/sin(134°)

  x = 80sin(26°)/sin(134°) ≈ 48.753 . . . . pounds

The larger component force is about 48.8 pounds.

Answer:

1  3/5 bags left

Step-by-step explanation:

If she gives 2/5 away, she keeps 3/5

3/5  *  2 2/3 = 3/5 * 8/3 =   24/15  = 1 9/15  = 1 3/5 bags left

Answer:

it’s 8 and 2 and 4 and 0

Step-by-step explanation:

this is because when you multiply 2x the x is an 8 so 2 times 8 is 16 then minus 2 is 14 which is greater than -4 same for my other answer

The standard form of the expression (4 × 10) + (3 × 1/100) + (5 × 1/1000) is 40.035

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have expression:

= (4 × 10) + (3 × 1/100) + (5 × 1/1000)

= 40 + 0.03 + 0.005

= 40.035

Thus, the standard form of the expression (4 × 10) + (3 × 1/100) + (5 × 1/1000) is 40.035

Learn more about the arithmetic operation here:

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#SPJ1

Answer:

  7 boxes

Step-by-step explanation:

The area of a rectangular prism is given by the formula ...

  A = 2(LW +H(L+W))

The amount of wallpaper Carmen needs for one box is found by computing the area of the box.

__

  A = 2(5·6 +7(5+6)) = 2(30 +7·11) = 2(107) = 214 . . . square feet

  Carmen will be using a total of 214x square feet of wallpaper to cover x boxes. She has 1498 ft² available, so can cover ...

  1498 ft²/(214 ft²/box) = 7 boxes

Carmen has enough wallpaper to cover 7 storage boxes.

Answer:

291.

Step-by-step explanation:

(x - 147) / 12 = 12

x - 147 = 144

x = 144 + 147

x = 291.

First integral:

Parameterize -C (the reverse of C) by [tex]z = e^{it}[/tex] where [tex]0\le t \le\frac\pi2[/tex]. Then the contour integral is

[tex]\displaystyle \int_{-C} (z^2 - z + 2) \, dz = \int_0^{\frac\pi2} \left(e^{2it} - e^{it} + 2\right) i e^{it} \, dt[/tex]

[tex]\displaystyle = i \int_0^{\frac\pi2} \left(e^{3it} - e^{2it} + 2e^{it}\left) \, dt[/tex]

[tex]\displaystyle = i \left(\frac1{3i} e^{3it} - \frac1{2i} e^{2it} + \frac2i e^{it}\right) \bigg|_0^{\frac\pi2}[/tex]

[tex]\displaystyle = \left(\frac13 e^{3it} - \frac12 e^{2it} + 2 e^{it}\right) \bigg|_0^{\frac\pi2}[/tex]

[tex]\displaystyle = -\frac43 + \frac53i[/tex]

Then

[tex]\displaystyle \int_C (z^2-z+2) \, dz = -\int_{-C} (z^2+z-2) \, dz = \boxed{\frac43 - \frac53i}[/tex]

Second integral:

The integrand has a pole of order 2 at z = 3i which is contained in C. By the residue theorem,

[tex]\displaystyle \int_C \frac{z^2+z}{(z-3i)^2} \, dz = 2\pi i\, \mathrm{Res}\left(\frac{z^2+z}{(z-3i)^2}, z=3i\right)[/tex]

Compute the residue:

[tex]\displaystyle \mathrm{Res}\left(\frac{z^2+z}{(z-3i)^2},z=3i\right) = \lim_{z\to3i} \frac{d}{dz}\left[z^2+z\right] = \lim_{z\to3i} (2z+1) = 1 + 6i[/tex]

Then the value of the integral is

[tex]\displaystyle \int_C \frac{z^2+z}{(z-3i)^2} \, dz = 2\pi i (1 + 6i) = \boxed{-12\pi + 2\pi i}[/tex]

[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]

═════════════════════

1.[tex]- 5x - y = 8[/tex]

[tex]-5x-y=8[/tex]

[tex]-5x=8+y [/tex]

[tex]-5x=y+8 [/tex]

[tex]\frac{-5x}{-5}=\frac{y+8}{-5} [/tex]

[tex]x=\frac{y+8}{-5} [/tex]

[tex]x=\frac{-y-8}{5} [/tex]

[tex]-5x-y=8[/tex]

[tex]-y=8+5x [/tex]

[tex]-y=5x+8 [/tex]

[tex]\frac{-y}{-1}=\frac{5x+8}{-1} [/tex]

[tex]y=\frac{5x+8}{-1} [/tex]

[tex]y=-5x-8 [/tex]

────────────────────

2.[tex]-4x-y=2 [/tex]

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

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

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

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

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

[tex]x=-\frac{y}{4}-\frac{1}{2} [/tex]

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

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

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

[tex]\frac{-y}{-1}=\frac{4x+2}{-1} [/tex]

[tex]y=\frac{4x+2}{-1} [/tex]

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

════════════════════

Explanation:

#Carry on learning

Answer:

Step-by-step explanation:

Original coordinates of F

It is reflected across the y-axis.

Transformation of coordinates across y-axis

Therefore, on reflection, the coordinates of F' will be :

Given  ↓

[tex]\blue{\boxed{\mathsf{V=\frac{4}{3} \pi r^3}}[/tex]

↑ formula for volume of a sphere

r = 5 in

Plug in the value of r and solve :

[tex]\blue{\boxed{\mathsf{V=\frac{4}{3}\pi (5)^3}}}[/tex]

Simplify as follows :

[tex]\blue{\boxed{\mathsf{V=\frac{4}{3}\pi *125} }}[/tex]

[tex]\blue{\boxed{V=\frac{4}{3} *392.7}}[/tex]

Final Step :

[tex]\blue{\boxed{\pmb{V=523.6\:in\:^3}}[/tex]

[tex]\footnotesize\text{hope\:helpful}[/tex]

Answer:

-0.45

Step-by-step explanation:

put that in a calculator

round off to 2 decimal places

Answer:

-2

Step-by-step explanation:

a negative divided by a negative is a positive

Answer:

n = -2

Step-by-step explanation:

-6/n = 3

multiply n on both sides

-6 = 3n

divide 3

-2 = n

n = -2

Answer:

the answer is 90 degrees

Answer:

You are making 25$ in profit. You do this by subtracting 150-125. to get 25.

Step-by-step explanation:

Hope This Helps

Have A Great Day

~Zero~

its the one on the right :) x goes up 5 each time, y goes up 3 each time ; no jumps

Option 2 is correct.

The axis of symmetry is, x= 3

Step-by-step explanation:

Given: The zeros of the quadratic function f are 1 and 5.

If the zeroes are at x =1 and at x  =5, then,

the factor equations were  x- 1=0 and x-5 = 0.

Then. the factors were x -1 and x-5 .

Any factorable quadratic is going to have just the two factors, so these are must be them.

Then, the original quadratic was :

or

     [by distributive property  ]

Combine like terms;

               ......[1]

A quadratic equation is of the form: ; where a, b, c are the coefficient ]

On comparing equation [1] with general equation we have;

the value of  a = 1 , b = -6 and c =5

Axis of symmetry states that a parabola is a vertical line that divides the parabola into two congruent halves.

i,e

Then;

Axis of symmetry (x) =

Therefore, the equation of the axis of symmetry is;  x = 3

Answer:

Step-by-step explanation:

radius = 16/2 = 8

Then you can apply the formula to calculate the base area, lateral surface or surface or even perimeter

Answer:

0

Step-by-step explanation:

5^2-4(5)-5=2(5)-10

0=0

Answer:

(3)   {5,7}

Step-by-step explanation

135 people voted for it on gauth math