Rationalize the numerator or denominator and simplify <br><br> URGENT!!! What did I do wrong??

Mark reads 42 pages of a book every 3/4 hour. Write an equation that models the relationships between x, the number of hours Mar

Illusion [34]

Answer:

The equation that models the relationships between $x$ , the number of hours Mark reads, and , $y$ the number of pages of the book he reads is:

$y=56x$

Step-by-step explanation:

Given:

Mark reads 42 pages every $\frac{3}{4}$ hour.

The number of hours is given by = $x$

The number of pages is given by = $y$

The equation can be modeled as:

$y=mx+b$

where $m$ represents rate of change and $b$ represents the y-intercept or the initial value.

Rate of change = $=\frac{Change\ in\ y}{Change\ in\ x}=\frac{42}{\frac{3}{4}}=42\times \frac{4}{3}=56$

The initial value $b=0$ as Mark starts reading from 0.

So, the equation is:

$y=56x$

7 0

3 years ago

70 POINTS! ∆ABC is reflected across the x-axis, then rotated 90° clockwise about the origin, and finally reflected across the li

madam [21]

Answer:

A'(1, 1); B'(3, 2); C'(1, 2)

Step-by-step explanation:

The original points are A(1,1 ), B(2, 3) and C(2, 1).

Reflecting the triangle across the x-axis will negate every y-coordinate; this maps

(1, 1)→(1, -1); (2, 3)→(2, -3); (2, 1)→(2, -1)

Rotating the figure 90° clockwise about the origin switches the x- and y-coordinates and negates the x-coordinate; this maps

(1, -1)→(-1 -1); (2, -3)→(-3, -2); (2, -1)→(-1, -2)

Reflecting across the line y=x will negate both the x- and y-coordinates; this maps

(-1, -1)→(1, 1); (-3, -2)→(3, 2); (-1, -2)→(1, 2)

3 0

3 years ago

Read 2 more answers

Plz help me, brainliest to be given

Leokris [45]

Answer:

4%

Step-by-step explanation:

R=INTEREST X 100% / TIME X PRINCIPAL

r=40 x 100=4000

4000/500 x 2=1000

4000/1000=4%

5 0

3 years ago

A cyclist rides her bike at a rate of 12 meters per second. What is this rate in kilometers per hour? How many kilometers will t

IgorLugansk [536]

Answer:

Part 1) The rate is $43.2\frac{km}{h}$

Part 2) $129.6\ km$

Step-by-step explanation:

Part 1)

we know that

A cyclist rides her bike at a rate of 12 meters per second

Remember that

1 hour=3,600 seconds

1 kilometer=1,000 meters

therefore

$12\frac{m}{sec} =\frac{(12/1,000)}{(1/3,600)}=\frac{12*3,600}{1,000}=43.2\frac{km}{h}$

Part 2) How many kilometers will the cyclist travel in 3 hours?

using proportion

$\frac{43.2}{1}\frac{km}{h}=\frac{x}{3}\frac{km}{h}\\ \\x=43.2*3\\ \\x=129.6\ km$

3 0

3 years ago

Points A and B lie on line EF.

mezya [45]

Answer:

i dont understand the qn..?

Step-by-step explanation:

8 0

3 years ago

Rationalize the numerator or denominator and simplify URGENT!!! What did I do wrong??