Gavin ran 5 3/4 miles yesterday. He ran 4 1/6 miles today. How many more miles did gavin run yesterday?

Y = 6x − 4

Kamila [148]

Answer:

Part B: $\displaystyle [1, 2]$

Part A: Set both equation equal to each other by Substitution, since our y-values are already given to us.

Step-by-step explanation:

6x - 4 = 5x - 3

- 6x + 3 - 6x + 3

____________

$\displaystyle -1 = -x; 1 = x$

Plug this coordinate back into the above equations to get the y-coordinate of 2.

y = mx + b [where b is the y-intercept and the rate of change (slope) is represented by m]

$\displaystyle y = 5x - 3; [0, -3]; 5 = m \\ y = 6x - 4; [0, -4]; 6 = m$

I am joyous to assist you at any time.

3 0

3 years ago

Please help me, because they ask for so many characters in Brainly lol

Andrej [43]

Answer:

$y=3x+5$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

Given that the slope is 3, we can plug this into y=mx+b as m:

$y=3x+b$

Now, to solve for b, simply plug in the given point:

$-7=3(-4)+b\\-7=-12+b\\b=5$

Therefore, the y-intercept is 5. Plug this back into the equation:

$y=3x+5$

I hope this helps!

4 0

2 years ago

The school day begins at 7:55 a.m. and ends at 2:40 p.m. how long are you in school?

Mademuasel [1]

Think:

7:55 a.m. is 5 minutes (5/60 hrs) before 8 a.m.;

from 8 to noon it's 4 hours, and from noon to 2:40 p.m. is 2 2/3 hours.

Thus, you're in school 5/60 hrs + 4 hrs + 2 2/3 hrs, or

6 2/3 hrs + 5/60 hrs, or 6 40/60 hrs + 5/60 hrs, or

6 45/60 hrs, or 6 3/4 hrs.

Of course there are other ways in which you could do this problem:

4 hrs 5 min plus 2 hrs 40 min comes out to 6 hrs 45 min, or 6 3/4 hrs.

6 0

3 years ago

Suppose a set of data about the spread (in hundreds of acres) of a food-borne bacteria (after t weeks) in lettuce has the follow

Alexxandr [17]

Answer:

A sinusoidal model would be used

The kind of function that have consistency in the periodic rate of change is the Average rate of changes

Step-by-step explanation:

The type of model that would be used is sinusoidal model and this is because there is periodic change in the values given ( i.e the rate of changes given )

For percentage rate of changes :

starting from 0.9% there is an increase to 1.3% then a decrease to 1.1% and a further decrease to 1% before an increase to 1.3% and another decrease to 1%

For Average rate of changes:

starting from 2.9 there is a decrease to 2.4, then an increase to 3.7 and another decrease to 3.1 followed by an increase to 3.6 and a decrease back to 3.2

This relation ( sinusoidal model ) is best suited for a linear model because there is a periodic rate of change in the functions

The kind of function that have consistency in the period rate of change is the Average rate of changes

6 0

3 years ago

Among 500 freshmen pursuing a business degree at a university, 311 are enrolled in an economics course, 243 are enrolled in a ma

Allushta [10]

Solution :

Let A = Economics, B = Mathematics

n(A) = 311, n(B) = 243, $n(A \cap B) = 135$