1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
UNO [17]
3 years ago
5

At what point on the graph of y=2e^X -1 is the tangent line parallel to the line y= 5x -1

Mathematics
1 answer:
IgorLugansk [536]3 years ago
5 0
Paralell has same slope
y=mx+b
m=slope
y=5x-1
when is the slope 5?

take the derivitive of 2e^x
f'(2e^x)=2f'(e^x)=2e^x

that is the slope
5=2e^x
divide both sides by 2
2.5=e^x
take the ln of both sides
ln2.5=x

when x=ln2.5 they are paralell
You might be interested in
Chicago Pizza charges $10.49 for a medium 14" pepperoni pizza and NY Pizza charges $20.99 for an x-large 18" pepperoni pizza.
UNO [17]

Answer:

A; The cost is $0.07 per  inch^{2}

Step-by-step explanation:

In this question, we are asked to calculate the cost of the Chicago pizza per square inch rounded to the nearest cent.

Firstly, we will need to calculate the area occupied by the 14 inch medium pepperoni pizza made by Chicago pizza

Since the pizza is circular in shape, we use the formula for the area of a circle to calculate its area in square inch

Mathematically, the area of a circle is equal to πr^{2} . Here, our r is half the size of the pizza as the 14 inch represents the full length of the pizza across the center of the pizza = 7 inch

The area is thus = 22/7 × 7 × 7 = 154 inch^{2}

Now, since the full pizza costs $10.49, the cost of the pizza per  inch^{2} is 10.49/154 = 0.068 = $0.07 per  inch^{2}

8 0
2 years ago
A cylinder has a volume of 175 pie cubic units and a height of seven units what's the diameter
Debora [2.8K]
Πr²h=175
πr²*7=175
Divide both sides by 7
πr²=25
Divide both sides by π (3.14)
r²=7.96
Square root of 7.96=2.82
r=2.82
Diameter is 2r. 2.82*2
2.82*2=5.64
3 0
2 years ago
Write an equation for a parabola that has a vertex (1, 2) and passes through the point (3, -6).
Alex

Answer:

y= -2x²+4x.

Step-by-step explanation:

the common equation of the parabola is y=ax²+bx+c, where a, b, c - numbers.

1) the coordinates of the vertex are:

x_0=-\frac{b}{2a} \ and \ y_0=\frac{4ac-b^2}{4a}.

2) if according to the condition x₀=1, then b= -2a.

If according to the condition y₀=2, then   2=\frac{4ac-b^2}{4a}=\frac{4ac-4a^2}{4a}=c-a;

it means that c=a+2.

3) if b= -2a; c=a+2 and the point (3;-6) belongs to the given parabola, then it is possible to substitute them into the common equation of the parabola:

-6=3²*a-6a+a+2; ⇔ a= -2.

4) if a= -2, then b=-2a=4, and c=a+2=0.

5) if a=-2, b=4 and c=0, then the required equation of the parabola is:

y= -2x²+4x.

6 0
2 years ago
Math is hard help pls​
olga_2 [115]

Answer:

60% Hope this helped! :)

Step-by-step explanation:

3 0
3 years ago
What is the product of (-3s+2t(4s-t)
galben [10]
Use the FOLD method<span>
(a+b)(c+d)=ac+ad+bc+bd

</span><span>−12<span>s<span><span>​^2 </span><span>​​</span></span></span>+ 3st + 8ts − 2<span>t<span><span>​^2</span><span>​​

</span></span></span></span>Collect like terms
-12{s}^{2}+(3st+8st)-2{t}^{2}

Simplify
<span>-12{s}^{2}+11st-2{t}^{2}<span>−12<span>s<span><span>​2</span><span>​​</span></span></span>+11st−2<span>t<span>​<span>2

The answer is = -12s^2 + 11st - 2t^2</span></span></span></span></span>
5 0
2 years ago
Other questions:
  • What is the inverse of the function f(x) = x – 12?
    12·1 answer
  • Look at pic to see question
    7·2 answers
  • Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of
    13·2 answers
  • The speed of light is about 300,000,000 meters per second.
    9·1 answer
  • Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.
    7·2 answers
  • wiĺla's rectangular patio has an area of 36m, and whole area side lengths. what might the length and width of the atio be? give
    10·1 answer
  • What’s the correct answer for this?
    9·2 answers
  • How many feet are in 189882 inches
    9·1 answer
  • A dilation produces a smaller figure. Which is a possible scale factor?
    10·2 answers
  • Ok this is an easy one.<br> -1.5 multiplied by what will get me -1?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!