Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

2x+7y=−8 2x−5y=−1\begin{aligned} 2x+7y &= -8 \ 2x-5y &= -1 \end{aligned} subtracting

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Calculusright chevron icon
Find equations of tangent lines using limitsright chevron icon

Full solution

Q. 2x+7y=−8 2x−5y=−1\begin{aligned} 2x+7y &= -8 \ 2x-5y &= -1 \end{aligned} subtracting
  1. Calculate Total Tape Needed: Determine the total amount of electrical tape needed and the amount of tape on each roll.\newlineThe electrician needs 8,0008,000 centimeters of electrical tape, and each roll contains 2,0002,000 centimeters of tape.
  2. Calculate Rolls Needed: Calculate the number of rolls needed by dividing the total amount of tape needed by the amount of tape on each roll.\newlineNumber of rolls needed =Total amount of tape neededAmount of tape on each roll= \frac{\text{Total amount of tape needed}}{\text{Amount of tape on each roll}}\newlineNumber of rolls needed =8,000 cm2,000 cm= \frac{8,000 \, \text{cm}}{2,000 \, \text{cm}}
  3. Perform Division: Perform the division to find the number of rolls.\newlineNumber of rolls needed = 8,000÷2,0008,000 \div 2,000\newlineNumber of rolls needed = 44

More problems from Find equations of tangent lines using limits

Question
Consider the curve given by the equation xy2+5xy=50 x y^{2}+5 x y=50 . It can be shown that dydx=−y(y+5)x(2y+5).  \frac{d y}{d x}=\frac{-y(y+5)}{x(2 y+5)} \text {. } \newlineWrite the equation of the vertical line that is tangent to the curve.
Get tutor helpright-arrow

Posted 1 month ago

Question
The rate of change dPdt \frac{d P}{d t} of the number of algae in a tank is modeled by the following differential equation:\newlinedPdt=231710614P(1−P662) \frac{d P}{d t}=\frac{2317}{10614} P\left(1-\frac{P}{662}\right) \newlineAt t=0 t=0 , the number of algae in the tank is 174174 and is increasing at a rate of 2828 algae per minute. At what value of P P is P(t) P(t) growing the fastest?\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
The rate of change dPdt \frac{d P}{d t} of the number of bacteria in a tank is modeled by the following differential equation:\newlinedPdt=29849P(598−P) \frac{d P}{d t}=\frac{2}{9849} P(598-P) \newlineAt t=0 t=0 , the number of bacteria in the tank is 196196 and is increasing at a rate of 1616 bacteria per minute. At what value of P P does the graph of P(t) P(t) have an inflection point?\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
The rate of change dPdt \frac{d P}{d t} of the number of people infected by a disease is modeled by the following differential equation:\newlinedPdt=45125404P(800−P) \frac{d P}{d t}=\frac{45}{125404} P(800-P) \newlineAt t=0 t=0 , the number of people infected by the disease is 214214 and is increasing at a rate of 4545 people per hour. What is the limiting value for the total number of people infected by the disease as time increases?\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Which of the following is a correct interpretation of the expression \newline−4+13-4+13?\newlineChoose 11 answer:\newline(A) The number that is 44 to the left of −13-13 on the number line\newline(B) The number that is 44 to the right of −13-13 on the number line\newline(C) The number that is 1313 to the left of −4-4 on the number line\newline(D) The number that is 1313 to the right of −4-4 on the number line
Get tutor helpright-arrow

Posted 2 months ago

Question
The function f f is defined by f(x)=x3+2sin⁡(3x−3) f(x)=x^{3}+2 \sin (3 x-3) . Use a calculator to write the equation of the line tangent to the graph of f f when x=0.5 x=0.5 . You should round all decimals to 33 places.\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
The function f f is defined by f(x)=x2−2x+3cos⁡(x2−x) f(x)=x^{2}-2 x+3 \cos \left(x^{2}-x\right) . Use a calculator to write the equation of the line tangent to the graph of f f when x=−2.5 x=-2.5 . You should round all decimals to 33 places.\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
The function f f is defined by f(x)=x2+x−2sin⁡(2x) f(x)=x^{2}+x-2 \sin (2 x) . Use a calculator to write the equation of the line tangent to the graph of f f when x=3 x=3 . You should round all decimals to 33 places.\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
The function f f is defined by f(x)=x3+cos⁡(2x2+5) f(x)=x^{3}+\cos \left(2 x^{2}+5\right) . Use a calculator to write the equation of the line tangent to the graph of f f when x=1 x=1 . You should round all decimals to 33 places.\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
The function f f is defined by f(x)=x3+3−5sin⁡(x2) f(x)=x^{3}+3-5 \sin \left(x^{2}\right) . Use a calculator to write the equation of the line tangent to the graph of f f when x=1 x=1 . You should round all decimals to 33 places.\newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

View all (103)