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
GREYUIT [131]
3 years ago
13

At what point on the curve y = 2 + 2ex − 4x is the tangent line parallel to the line 4x − y = 3? (x, y) =

Mathematics
1 answer:
Papessa [141]3 years ago
3 0

Answer:

{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)

Step-by-step explanation:

From this equation 4x − y = 3

-y = 3 - 4x

then, y = 4x - 3

From line equation y = mx + b

Therefore, the slope is 4

Since the are parallel line, they will have same slope

Finding the derivative of y = 2 + 2e^x − 4x

y = 2 + 2e^x − 4x

y' = 0 + 2e^x - 4

Therefore,

4 = 2e^x - 4

4 = e^x

x = ln 4 = 1.39

To find the y coordinate

y = 2 + 2e^x − 4x

y = 2 + 2e^ln 4 − 4 ln 4

y = 4.45

Hence, they are parallel at point (1.39 and 4.45)

You might be interested in
HELPPP!!!!<br><br> What is one solution?<br> Eliminate any extraneous solutions.
olga nikolaevna [1]

Answer:

The correct answer is x= 4/5 because you cannot take the root of a negative number

4 0
3 years ago
1. (k+7)² =289<br>2. (2s-1)² =225<br>3. (x-4)² =169<br><br>please help me answer these :)
professor190 [17]
(k+7)^2 =289\\&#10;|k+7|=17\\&#10;k+7=17\vee k+7=-17\\&#10;k=10 \vee k=-24

(2s-1)^2 =225\\&#10;|2s-1|=15\\&#10;2s-1=15\vee 2s-1=-15\\&#10;2s=16 \vee 2s=-14\\&#10;s=8 \vee s=-7

(x-4)^2 =169\\&#10;|x-4|=13\\&#10;x-4=13 \vee x-4=-13\\&#10;x=17 \vee x=-9
6 0
3 years ago
Read 2 more answers
Write the general polynomial p(x) if its only zeros are 1 4 and -3 with multiplicites 3 2 and 1 respectively what is the degree
kompoz [17]

Answer:

The 6th degree polynomial is p(x) = (x-1)^3(x-4)^2(x+3)

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots x_{1}, x_{2}, x_{n} such that it can be written as: a(x - x_{1})*(x - x_{2})*...*(x-x_n), in which a is the leading coefficient.

Zero 1 with multiplicity 3.

So

p(x) = (x-1)^3

Zero 4 with multiplicity 2.

Considering also the zero 1 with multiplicity 3.

p(x) = (x-1)^3(x-4)^2

Zero -3 with multiplicity 1:

Considering the previous zeros:

p(x) = (x-1)^3(x-4)^2(x-(-3)) = (x-1)^3(x-4)^2(x+3)

Degree is the multiplication of the multiplicities of the zeros. So

3*2*1 = 6

The 6th degree polynomial is p(x) = (x-1)^3(x-4)^2(x+3)

8 0
3 years ago
Simplify: (2x2 − 9x + 3) + (−7x2 + 4x − 2) (5 points)
pogonyaev

Answer:

-5x^2+5x+1

Step-by-step explanation:

To simplify polynomials, find the like terms which look and sound the same then combine the coefficients of each to simplify.

(2x^2-9x+3)+(-7x^2+4x-2)\\2x^2-7x^2-9x+4x+3-2\\-5x^2+5x+1

5 0
3 years ago
Which is a true statement? A. –11.6 &gt; 7.52 B. –5.39 &gt; –4.21 C. 8.7 &lt; 8.63 D. –6.29 &lt; –4.81
Natalija [7]
Well first lets review the information on these numbers. A negative number is less than 0. So the bigger the negative number, the smaller it actually is.

So...

a) -11.6 > 7.52 (A negative is not greater than a positive!)
b) -5.39 > -4.21 (The bigger the negative the smaller the number -Nope!)
c) 8.7 < 8.63 (Nope- you can tell just by knowing the common number)
d) -6.29 < -4.81 (YES!!)

hope that helps!
7 0
3 years ago
Read 2 more answers
Other questions:
  • Which graph represents the function(x)=1/x=1
    12·1 answer
  • Please help me with number 12!
    15·1 answer
  • Solving equations with rational numbers
    12·1 answer
  • What is the equation of the line that is perpendicular to the given line and passes through the point (2, 6)?
    6·1 answer
  • What is the least common multiple for 6 and 14
    10·2 answers
  • Simplify the equation 4x+3y=2x
    7·2 answers
  • I need help finding the slope
    15·1 answer
  • If you conducted a survey on the distribution of M &amp; M colors in 20 packages chosen at random, what type of graph would be b
    14·1 answer
  • You have two options for purchasing a car:
    7·1 answer
  • Find the lateral surface area and surface area of a cone with a base radius of 4cm and a slant height of 10cm.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!