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3 years ago

What is the equation of a line that passes through (4, 3) and has a slope of 2?

1 answer:

3 0

So right of the bat the equation we know from what's given is y = 2x (+b)
we gotta find out what b is
so we plug the coordinate in
3=8+b.
b=-5
so we put all the pieces back together to get
y = 2x - 5

You might be interested in

Drag each expression to show whether it is equivalent to 36x + 9, 9(4x – 1), or (4 • 9x) + (4 • 2).

lora16 [44]

In order to find out what 36x + 9 is equivalent to,, we must factor out 9 from the expression. Once we do this you will find that this expression is equivalent to 9(4x + 1),, or option E.
Next we will look at the expression 9(4x -1). In order for us to find out the equivalent to this expression,, we must first multiply each term in the parenthesis by 9.
9 × 4x - 9
Now calculate the product
36x - 9
This means that the equivalent for this expression is 36x - 9,, or option A.
Lastly,, we will look at the final expression given which is 4(9x + 2). The first step for finding the equivalent of this expression is to multiply the numbers in the first parenthesis together.
(36x) + (4 × 2)
Now multiply the numbers in the second parenthesis together.
(36x) + 8
Remove the parenthesis
36x + 8
Now factor out 4 from the expression to get your final answer.
4(9x + 2)
This means that the last expression is equivalent to 4(9x + 2),, or option C.
Let me know if you have any further questions
:)

3 0

3 years ago

Simplify the expression (1 + 1/x)(1 - 2/x+1)(1 + 2/x-1)

valentinak56 [21]

Answer: 4(×+1) (×-1)

Step-by-step explanation:

3 0

2 years ago

Write a real world situation that could be modeled by the equation 30x=48+22x

-BARSIC- [3]

For this case we have the following equation:
30x = 48 + 22x
An example of real life is:
"Laura earns $ 30 per hour at her job, Maria earns 22 dollars per hour at her job plus 48 $ of fixed salary, find the number of hours for which both get the same profit"
In the given equation,
x: represents the time in hours.

5 0

3 years ago

First 100 terms of the following sequence 3 ,7 ,11

Sveta_85 [38]

Given that $a_1 = 3, d = 4$

Find the nth term:

$a_n = 3 + 4(n - 1)$

$a_n = 3 + 4n - 4$

$a_n = 4n - 1$

Find the 100th term:

$a_{100} = 4(100) - 1 = 399$

Find the Sum:

$\text{Sum} = 100(\dfrac{a_1 + a_{100}}{2} )= 100 (\dfrac{3 + 399}{2}) = 20100$

7 0

3 years ago

Read 2 more answers

Sammy bought 15.3 Liters of milk. She poured the milk equally into 5 bottles. There was 0.35 liters of milk left over. Calculate

Zanzabum

Answer:

The capacity of milk in 1 bottle is 2.99 liters

Step-by-step explanation:

Let us solve the question

∵ Sammy bought 15.3 liters of milk

∵ She poured the milk equally into 5 bottles

∵ There were 0.35 liters of milk leftover

→ At first, subtract the leftover from the quantity she bought to

find the capacity of the five bottles

∴ The capacity of the 5 bottles = 15.3 - 0.35

∴ The capacity of the 5 bottles = 14.95 liters

→ To find the capacity of each bottle divide the total capacity by 5

∴ The capacity in one bottle = 14.95 ÷ 5

∴ The capacity in one bottle = 2.99 liters

∴ The capacity of milk in 1 bottle is 2.99 liters

8 0

2 years ago