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ella [17]
3 years ago
5

Tom has read the first 40 pages of a book. He plans to read another 12 pages each day Write an equation that represents the rela

tionship between the total number of pages, p, and the number of days he has been reading , d.
Mathematics
1 answer:
fenix001 [56]3 years ago
4 0

Answer:

p=12d+40

Step-by-step explanation:

-This is a linear relationship problem modeled as:

y=mx+c

where:

  • y is the quantity at variable x
  • m is the slope
  • c is the constant of increment or decrement.
  • x is the variation variable.

Given the constant 40, and 12 pages per day as the rate of change we substitute our variables in the form of the formula above as:

p=12d+40

You might be interested in
5x3 + 14x2 + 9x <br> help
Cerrena [4.2K]
<h3>Answer:    x(x+1)(5x+9) </h3>

===================================================

Work Shown:

5x^3 + 14x^2 + 9x

x( 5x^2 + 14x + 9 )

To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.

A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(14)\pm\sqrt{(14)^2-4(5)(9)}}{2(5)}\\\\x = \frac{-14\pm\sqrt{16}}{10}\\\\x = \frac{-14\pm4}{10}\\\\x = \frac{-14+4}{10} \ \text{ or } \ x = \frac{-14-4}{10}\\\\x = \frac{-10}{10} \ \text{ or } \ x = \frac{-18}{10}\\\\x = -1 \ \text{ or } \ x = \frac{-9}{5}\\\\

Then use those two solutions to find the factorization

x = -1  or  x = -9/5

x+1 = 0  or  5x = -9

x+1 = 0  or  5x+9 = 0

(x+1)(5x+9) = 0

So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)

-----------

Overall,

5x^3 + 14x^2 + 9x

factors to

x(x+1)(5x+9)

6 0
3 years ago
your family is driving from cincinnati to st louis. the graph relates your distance from st.louis d in miles and travel time h (
rewona [7]

The solution is about a distance-time graph. The interpretation of the graph is that it took the family 6 hours to travel a distance of 360 miles. Note that the distance is plotted on y-axis and time on the x-axis.

<h3>What is a distance-time graph?</h3>

A distance time graph is a simple graph that shows the relationship between the time travelled the distance covered while doing do.

The slope-intercept form is

y= mx+b−⋯(1)

The y-intercept is 360

⇒b = 360; and m = −60

Substituting the value of m = −60

and b = 360

in (1) above,

⇒y = −60x  +360

The x-intercept is

y = 0,

⇒0= −60x+360

hence, x=6

The y-intercept is

x=0

⇒y=−60(0)+360

⇒y=360

In conclusion, the x - intercept is the time in hours between Cincinnati and St. Loui: and

The  y - intercept is the distance between Cincinnati and St. Louis.

Learn more about distance-time graphs at:
brainly.com/question/13877898
#SPJ1

6 0
1 year ago
Write the phrase as an expression<br> the quotient of 22 and a number a
RideAnS [48]
I believe the Answer is a/22 ( that’s a fraction )
5 0
3 years ago
A psychologist takes an SRS of 404040 people in their twenties and 606060 people in their fifties and surveys them about their a
Leto [7]

Answer: Approximately normal, because we expect 19.2 successes and 20.8 failures from people in their twenties, and 16.8 and 43.2 from people in their fifties, and all of these counts are at least 10.

Step-by-step explanation:

3 0
2 years ago
Can someone please help me, Im stuck on this question. ​
oksano4ka [1.4K]

Answer:

D. 14

Step-by-step explanation:

4^2 - 2 (evaluate)

16 - 2 (calculate)

14

7 0
3 years ago
Read 2 more answers
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