the equation of line passing through given point parallel to y = -2x+7 is: 
Step-by-step explanation:
Given equation of line is:
As the given line is in slope intercept form, the coefficient of x is the slope
Let m1 be the slope of given line
Let m2 be the slope of second line then
The equation of line is given by:
Putting the value of slope
Putting the point (4,1) in the equation
Putting the value of b in the equation
Hence,
the equation of line passing through given point parallel to y = -2x+7 is:
Keywords: Slope, intercepts
Learn more about slope at:
#LearnwithBrainly
Answer:
f(x) = 0.5x + 5
Domain: positive whole numbers
Range: f(x) ≥ 5
Step-by-step explanation:
Let's x denote the total number of fruit juice.
This means that if $0.5 for each fruit juice, then the total cost incurred for fruit juice would be $0.5x.
Since she incurred a cost of $5 for 100 cups and $0.5 for each fruit juice, then the total cost, f(x), would be:
f(x) = 0.5x + 5
The domain would be all positive whole numbers (it is restricted to positive whole numbers because a fruit juice can't be "negative" neither can it be "half").
The range is all numbers equal or greater than 5. This is because, even if she does not eventually get fruit juice, she will still incur a cost of 5usd for cups.
Answer:
x=3
Step-by-step explanation:
Carlos made the mistake that he did not combine like terms (3 x and 2 x) properly and did not use addition property of equality.
<u>Step-by-step explanation:</u>
Carlos did the work as 3 x + 2 x - 6 = 24
We need to find his mistake that he made in above given.
Here, he did not add the like terms (3 x and 2 x)
3 x + 2 x = 5 x
Therefore, his work should be
5 x - 6 = 24
Also, he did not use addition property of equality. It means the equation remains same even though the same number gets added on both sides. It would be
5 x - 6 = 24
+ 6 = + 6
-----------------------
5 x = 30
Dividing 30 by 5, we get answer as '6'. Hence,
= 6
So, stated the above two are the mistakes found in carlos work.
To answer this we will add, but before we add we will change 4/5 in to a decimal. to change ANY fraction into a decimal we have to divide the numerator by the denominator. lets do it:-
4/5
4 ÷ 5 = 0.8
Now lets substitute 0.8 for 4/5 and then add.
4/5 + 0.05
0.8 + 0.05 = 0.85
CHECK OUR WORK:-
0.85 - 0.8 = 0.05
We were RIGHT!!
So, the decimal 0.85 is equivalent to 4/5 + 0.05.
Hope I helped ya!! xD
