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3 years ago

5

Your neighbor asks you to feed her cat and water her plants while she is on vacation. she pays you c dollars to feed her cat per

day and w to water the plants each day. If she is gone x days, write an expression to show how much money you will earn

1 answer:

Dmitry [639]3 years ago

6 0

Answer:

cx + wx

Step-by-step explanation:

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Suppose h(x)=3x-2 and j(x) = ax +b. Find a relationship between a and b such that h(j(x)) = j(h(x))

sergejj [24]

Answer:

$\displaystyle a = \frac{1}{3} \text{ and } b = \frac{2}{3}$

Step-by-step explanation:

We can use the definition of inverse functions. Recall that if two functions, <em>f</em> and <em>g</em> are inverses, then:

$\displaystyle f(g(x)) = g(f(x)) = x$

So, we can let <em>j</em> be the inverse function of <em>h</em>.

Function <em>h</em> is given by:

$\displaystyle h(x) = y = 3x-2$

Find its inverse. Flip variables:

$x = 3y - 2$

Solve for <em>y. </em>Add:

$\displaystyle x + 2 = 3y$

Hence:

$\displaystyle h^{-1}(x) = j(x) = \frac{x+2}{3} = \frac{1}{3} x + \frac{2}{3}$

Therefore, <em>a</em> = 1/3 and <em>b</em> = 2/3.

We can verify our solution:

$\displaystyle \begin{aligned} h(j(x)) &= h\left( \frac{1}{3} x + \frac{2}{3}\right) \\ \\ &= 3\left(\frac{1}{3}x + \frac{2}{3}\right) -2 \\ \\ &= (x + 2) -2 \\ \\ &= x \end{aligned}$

And:

$\displaystyle \begin{aligned} j(h(x)) &= j\left(3x-2\right) \\ \\ &= \frac{1}{3}\left( 3x-2\right)+\frac{2}{3} \\ \\ &=\left( x- \frac{2}{3}\right) + \frac{2}{3} \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}$

3 0

3 years ago

Please help! Hurry please!!!!!

Romashka [77]

Its 8:00, because four 15 minutes is 9:00, so when you go back four 15 minutes, its 8:00

7 0

3 years ago

Will there be more thaan one relay exchange between 2 consecutive tenths of a mile

kondor19780726 [428]

Yes there will be more than one

6 0

3 years ago

Find the surface area of the cylinder.

Ronch [10]

Answer:

exact: 48pi cm^2

approximate: 150.8 cm^2

Step-by-step explanation:

SA = 2 * (pi)r^2 + 2(pi)rh

SA = 2 * pi * (3 cm)^2 + 2(pi) * 3 cm * 5 cm

SA = pi(18 cm^2 + 30 cm^2)

SA = 48pi cm^2

SA = 150.8 cm^2

4 0

3 years ago

Read 2 more answers

Angelo thinks of a number, multiplies it by 5 and subtracts 8.His number is 47,wite as an equation in y and solve to find Angelo

Inessa05 [86]

Answer:

<h3>y*5-8=47</h3><h3>y*5=47+8</h3><h3>y*5=55</h3><h3>y=55/5</h3><h3>y=11</h3>

7 0

3 years ago