Can someone plz help me with #5!!??

If (x)=3x-1 and s(x)=2x+1, which expression is equivalent to r over s (6) ?

katrin [286]

Answer:

$\large\boxed{\dfrac{3(6)-1}{2(6)+1}}$

Step-by-step explanation:

$\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}\\\\\text{We have}\\\\f(x)=3x-1,\ g(x)=2x+1\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{3x-1}{2x+1}\\\\\left(\dfrac{f}{g}\right)(6)\to\text{put x = 6 to the equation of the function}\ \left(\dfrac{f}{g}\right)(x):\\\\\left(\dfrac{f}{g}\right)(6)=\dfrac{3(6)-1}{2(6)+1}$

6 0

3 years ago

iris charges a fee for her consulting services plus an hourly rate that is 1 1/5 times her fee on a 7 hour job and iris charged

Veronika [31]

Based on the given problem above, here is the solution.
Given: Iris's charge: 470
1 1/5 times her fee: additional hourly rate
? = fee for an hourly rate
What we need to do first is divide 470 by 7 hours, so 470/7 = 67.143/hour.
So Iris's per hour is 67.143 without the additional rate.
Now, let's look for the 1 1/5 of 470. 1 1/5 is equal to 1.2. So 470 x 1.2 = 564.
To get the total fee of her hourly rate, we add 67.143 and 564, so Iris's hourly rate then is 631.143 or 631.14.

5 0

3 years ago

[khan academy] <br><br> hello, please help me with this if youre able to, thanks uwu

Ostrovityanka [42]

Answer:

11 units

Step-by-step explanation:

To calculate CD use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = C(- 4, 6) and (x₂, y₂ ) = D(- 4, - 5)

CD = $\sqrt{(-4+4)^2+(-5-6)^2}$

= $\sqrt{0^2+(-11)^2}$

= $\sqrt{0+121}$ = $\sqrt{121}$ = 11

6 0

3 years ago

Read 2 more answers

A student claims that only one operation is needed to calculate the length of the subtended arc when given the measure of a cent

Debora [2.8K]

Having the angle in radians and the diameter of the circle we can easily calculate the length using the following expression

Length = angle(radians)*diameter/2

With this expression we can easily deduce the perimeter of a circle (length of the full arc)

Length = Perimeter = 2*pi*r

There is only one operation involved in this process

4 0

3 years ago

3x^2 + 4x = -8<br> solve using quadratic formula

Firdavs [7]

Use the quadratic equation to solve this (image of the quadratic equation is below)

Remember that quadratic functions are set up like so:

$ax^{2} +bx +c = 0$

To make the equation 3x² + 4x = -8 into a quadratic function you must bring -8 to the left side of the equation so it equals zero. To do this add 8 to both sides

3x² + 4x + 8= -8 + 8

3x² + 4x + 8 = 0

That means that in this equation...

a = 3

b = 4

c = 8

^^^Plug these numbers into the quadratic equation and solve (Keep in mind that +/- is ± )

$\frac{-4+/-\sqrt{(4)^{2}-4(3)(8)}}{2(3)}$