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3 years ago

Explain the two ways we can find the slope from an equation written in STANDARD FORM. Which way is more convenient and WHY?

Mathematics

1 answer:

Crank3 years ago

5 0

Answer: Derivative or y = mx + b

Step-by-step explanation:

Take the m value from the standard form equation:

y = mx + b

Or, the second way, is to take the derivative of the function and plug in your x value for your slope.

The derivative of a linear function is very easy to take, so it boils to preference

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Dave ordered dinner for a party of 10 people. Three people ordered the $4.75 chicken dinner, two people ordered the $4.95 fish d

postnew [5]

Answer:

The average cost of each dinner at Dave's party is <u>$5.79</u>.

Step-by-step explanation:

Given:

Dave ordered dinner for a party of 10 people.

Three people ordered the $4.75 chicken dinner, two people ordered the $4.95 fish dinner, and five had the beef dinner at a cost of $6.75 each.

Now, to find the average cost of each dinner at Dave's party.

So, we get the total amount for the dinner:

Three people ordered the $4.75 chicken dinner.

$4.75\times 3=14.25$

Two people ordered the $4.95 fish dinner.

$4.95\times 2=9.90$

Five had the beef dinner at a cost of $6.75.

$6.75\times 5=33.75$

Total amount of dinner = $14.25+9.90+33.75=\$57.90.$

Now, to get the average cost of each dinner of 10 people we divide the total amount of dinner by 10:

$57.90\div 10$

$=\$5.79.$

Therefore, the average cost of each dinner at Dave's party is $5.79.

7 0

3 years ago

In a study relating college grade point average to time spent in various activities, you distribute a survey to several students

Hunter-Best [27]

Step-by-step explanation:

Given

GPA = NO + B1Study + B2work + B3leisure + B4sleep + u

1. No it makes no sense. There is an intercorellation between these explanatory variables. Changing study while holding the rest variables constant or fixed would not make sense. If study us changed then one or more of the other predictors should be changed so that they can still be equal to 168

2. Study is a perfect linear function of work, leisure and sleep. There is the problem of multicollinearity among these independent variables. One assumption of the MLR is no multicollinearity.

3. To reformulate model, you have to drop the variable that is having the issue. Let's say that leisure is dropped from the model. After this the assumption is satisfied.

GPA = b0 + B1Study + b2sleep + b3work + u

6 0

3 years ago

Math 7. Grade 7.

olya-2409 [2.1K]

300=15x
x=20 weeks

The third equation

w=20 weeks

3 0

3 years ago

Read 2 more answers

2x2x2x2x2x2x2x2x2x2x2x2x2

Oksana_A [137]

Answer: 8192

Step-by-step explanation:

8 0

3 years ago

The swimming pool is open when the high temperature is higher than 20^\circ\text{C}20 ? C. Lainey tried to swim on Monday and Th

Damm [24]

Answer:

$30-3d\leq 20$

Step-by-step explanation:

Let d represent the rate of temperature decrease in degrees Celsius per day from Monday to Thursday.

As temperature decreased at a constant rate in the next 3 days, so the rate of temperature will decrease 3d degree Celsius in 3 days.

We are told that the pool was open on Monday. The high temperature was $30^oC$ on Monday. So the decrease in temperature from Monday to Thursday will be $30-3d$ .

We have been given that the swimming pool is open when the high temperature is higher than $20^oC$ .

As the pool was closed on Thursday. This means that temperature on Thursday was less than or equal to 20 degree Celsius. We can represent this information in an inequality as:

$30-3d\leq 20$

Therefore, the inequality $30-3d\leq 20$ can be used to determine the rate of temperature decrease in degrees Celsius per day, d, from Monday to Thursday.

4 0

3 years ago

Read 2 more answers