Tyje's paycheck varies directly with the number of hours he works. If he makes $238 for working 28 hours:

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

Rainbow [258]

Answer:

B) X-1

Step-by-step explanation:

3 0

3 years ago

a girl wants to count the steps of a moving escalator which is going up. if she is going up on it, she counts 60 steps. if she i

Leto [7]

Let

x--------> the speed of the girl in step

y--------> the speed of the escalator in step

d------> the distance between ground and floor.

we know that

$speed=\frac{distance}{time} \\ \\ time=\frac{distance}{speed}$

when the girl is going up on escalator

$x-y=\frac{d}{60}$ ----> equation $1$

when the girl is going down on escalator

$x+y=\frac{d}{90}$ -------> equation $2$

Adds equation $1$ and equation $2$

$2x=\frac{d}{60} +\frac{d}{90} \\ \\ 2x=\frac{5}{180} d$

$x=\frac{5}{360}d$ --------> equation $3$

Time to climb (in step) with y=0 (escalator standing still)

$x*t=d\\\\ t=\frac{d}{x}$ -----> equation $4$

Substitute equation $3$ in equation $4$

$t=\frac{d}{\frac{5d}{360}} \\ \\ t=\frac{360}{5} \\ \\ t=72 steps$

therefore

the answer is

$72 steps$

5 0

3 years ago

Read 2 more answers

Select all the points that are on the graph of the line 2x + 4y=20 a.)(0.5) b. (0,10) c. (1,2) d.) (1,4) e.) (5,0) f. (10,0)

zmey [24]

Answer:

(0,5) and (10,0)

Step-by-step explanation:

The equation of the straight line is given by 2x + 4y = 20 .......... (1)

Now, point (0,5) satisfies the equation (1) as putting x = 0, we will get y = 5.

Now, point (0,10) does not satisfy the equation (1) as putiing x = 0, we get y = 5 ≠ 10

Again, point (1,2) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 2

Now, point (1,4) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 4

Again, point (5,0) does not satisfy the equation (1) as putiing y = 0, we get x = 10 ≠ 5

Finally, point (10,0) satisfies the equation (1) as putiing y = 0, we get x = 10 .

Therefore, only points (0,5) and (10,0) are on the graph of the line 2x + 4y = 20 (Answer)

8 0

3 years ago

Solve:<br><br> a.x3+x2-8x - 12x+2<br> b. x3-4x2-3x + 18x-3<br> c. x2 + 4x + 4<br> d. x2 - 6x + 9

NeTakaya

<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\div \frac{x-3}{x+2}$

Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}$

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

$(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}$