d/dx (2 x^2 y + y = 2x + 13)
4xy + 2x^2 y' + y' = 2
4xy + y'(2x^2 + 1) = 2
y' = (2- 4xy)/(2x^2 +1)
<span>ow we can use this in a linear equation for a slope
Ty = -5x/8 +5(3)/8 +8/8
= -5x/8 +(15+8)/8
= -5x/8 +23/8
this will gives us an approximation at x=2.8 now</span>
Answer:
5,340
Step-by-step explanation:
Hi there:)
Amount invested in stock
=5000×0.6=3000
Amount invested in a saving account
5000-3000=2000
The stock increases 9% in the first year
3,000×(1+0.09)=3,270
and loses 4% of its value the second year
3,270×(1−0.04)=3,139.2
Amount of a saving account after two years
2,000×(1+0.049)^(2)=2,200.8
the total amount gained during the 2 years
3,139.2+2,200.8=5,340...answer
Hope it helps
The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x = number of weeks required to complete the assignments
We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:
1. Set y = f(x)
y = 4x - 3/2
2. Exchange x and y
x = 4y - 3/2
3. Solve for y
4y = x + 3/2
y = (x +3/2)/4
4. Set y equal to f⁻¹ (x)
f⁻¹ (x) = (x + 3/2)/4
5. Find f⁻¹ (30)
f⁻¹ (30) = (30 + 3/2)/4 = 63/8 = 8 (approxmately)
Answer:
Pedro needs about 8 weeks to complete 30 assignments.
Answer:
see below
Step-by-step explanation:
1.5x + 5y = 1152
x = 4y – 2
We can substitute the second equation into the first equation
Which one-variable linear equation can be formed using the substitution method?
1.5(4y-2) +5y = 1152
Distribute
6y -3 +5y = 1152
Combine like terms
11y-3 = 1152
Add 3 to each side
11y-3+3 = 1152+3
11y = 1155
Divide each side by 11
11y/11 = 1155/11
y = 105
How many $5 raffle tickets were sold?
105 5 dollar tickets were sold
Now we need to find the number of 1.50 tickets
Which equation can be used to determine how many $1.50 raffle tickets were sold?
x = 4y – 2
x = 4(105) -2
=420-2
= 418
How many $1.50 raffle tickets were sold?
418 $1.50 tickets were sold
Let x <u>represent</u> the <u>number of cups</u> of Superfiber Will ate this week and let y represent the number cups of Fiber Oats he ate this week.
1. If in Superfiber cereal, there are 5 grams of fiber in one cup, then in x cups there are 
grams of fiber.
2. If in Fiber Oats cereal, there are 4 grams of fiber in one cup, then in y cups there are 
grams of fiber.
3. The total amount of fiber Will ate is 
grams.
4. This week Will ate at least 30 grams of fiber. Then
Answer: correct choice is A.
