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Gre4nikov [31]
3 years ago
8

What is an equation in point-slope form of the line shown below? (-2,1) (4,4)

Mathematics
1 answer:
Natali [406]3 years ago
4 0

Answer:

y = 1/2x +2

Step-by-step explanation:

y-y1= m (x-x1)

first find slope

m= 4-1 / 4 - (-2)

m= 3 / 4+2

m= 3/ 6

m = 1/2

you can pick any of the two points to solve for point slope form

y-4 = 1/2 (x-4)

y-4= 1/2x -2

add 4 on both sides

y = 1/2x +2

y-1= 1/2 (x- (-2))

y-1= 1/2 (x+2)

y-1= 1/2x +1

add 1 on both sides

y= 1/2x +2

you should get the same answer with any of the two points you chose

you might want to use a calculator to solve this

if you want to use both points to make sure the answer is correct, you can

if you don't get the same answer with both points then u did something wrong during the equation.

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Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must p
rusak2 [61]

The answer is incomplete. Here is the complete question:

Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must pay $600 upfront. Jamie earns his money by washing cars for $25 each. Stella earns her money by making pecan pies for $15 each. Jamie earns more money than Stella does because Stella only has enough supplies to make 40 pies. let x represent the number of cars Jamie washes. Let y represent the number of pies Stella makes.

Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip.

Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.

Part 3: Write a constraint (an inequality) to represent the limitations of Stella's supplies.

Part 4: Can Stella afford to sign up for the trip with the money she earns? Explain your answer and show any work that might support your answer.

Answer:

Part 1: 25x\geq 600

Part 2: 15y\geq 600

Part 3: y\leq 40

Part 4: Yes, she makes exactly 600 dollars by making 40 pies.

Step-by-step explanation:

Given:

Total money needed for the trip is 600 dollars.

Money earnt by Jamie for washing one car is $25.

Money earnt by Stella for making one pie is $15.

Let x represent the number of cars Jamie washes. Let y represent the number of pies Stella makes.

Part 1:

Since the cost for washing one car is $25

Therefore, the cost of washing x cars is 25x.

Now, in order to sign up for the trip, money obtained from car washing must be greater than or equal to $600.

Therefore, 25x\geq 600

Part 2:

Since the cost for making one pie is $15

Therefore, the cost of making y pies is 15y.

Now, in order to sign up for the trip, money obtained from pie making must be greater than or equal to $600.

Therefore, 15y\geq 600

Part 3:

As per the question, the maximum number of pies that Stella can make is 40. So, the value of y can't exceed 40 and must be less than or equal to 40. Therefore,

y\leq 40

Part 4:

Now, in order to sign up for the trip, Stella's total earning must be at least $600. So, 15y=600 is the minimum condition for signing up for the trip. Now, let us solve the above equation for y. This gives,

15y=600\\y=\frac{600}{15}=40

Therefore, minimum number of pies required for signing up for the trip is 40 and luckily that's the maximum supply Stella has for pies. Therefore, she can sign up for the trip by making all the 40 pies and earning a total of 600 dollars.

8 0
3 years ago
What is the percentage of 350 over 100
Ivahew [28]
350/100 = 350%
350% is the percentage of 50 over 100
4 0
3 years ago
Factorise the following expressions 5x^2-25xy​
Natali [406]

Answer: 5x ( x - 5y )

Step-by-step explanation:

3 0
2 years ago
2/3 is less than 4/5 true or false
mojhsa [17]

Answer: False

Step-by-step explanation:

When comparing fractions such as 2/3 and 4/5, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.

6 0
3 years ago
Read 2 more answers
Write the ratio as a fraction in simplest form.<br><br> 10.8 seconds : 36 feet <br><br> (Show work)
vodka [1.7K]

Answer: Ratio as a fraction in simplest form is :

\frac{27}{1}=27

Step-by-step explanation:

Since we have given that

10.8 seconds : 36 feet

As we know that

1\ second=\frac{1}{60}\ mile\\\\1\ second=90\ feet

So, we use it :

10.8 seconds : 36 feet

=10.8\times 90\ feet:36\ feet\\\\=972:36\\\\=27:1

Hence, Ratio as a fraction in simplest form is :

\frac{27}{1}=27

7 0
2 years ago
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