Choose the best description of the roots of the equation. 4 x^2 - 3 x + 7 = 0 imaginary roots
real and rational roots
double root
real and irrational roots

Answers

Answer 1
Answer:

imaginary roots

hope this helps :)

Answer 2
Answer:

Answer:

imaginary roots

Step-by-step explanation:

just got the question right.


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What is 1/3 as a decimal?

Answers

0.33333333333333333333333333333333 all you have to do is divide 1 by 3

what is 1/3 and negative 9/20 as decimals??


Solve the equation by completing the square x^2 - 7x - 4 = 0

A. 7.53, -0.53
B. -7.53, -0.53
C. -7.53, 0.53
D. 7.53, 0.53

Answers

the answer is A . 7.53 , -0.53

Answer:

a

Step-by-step explanation:

Given the function f(x) = 5x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.Part A: Find the average rate of change of each section. (4 points)
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)

Answers

Average rate of change from x = 0 to x = 1 is (f(1)-f(0))/(1-0)= (5(1)-5(0))/(1)=5
Average rate of change from x = 2 to x = 3 is (f(3)-f(2))/(3-2)= (5(3)-5(2))/(1)=15-10=5
The average rate of change of both sections are equal.

If a circle c with radius 1 rolls along the outside of the circle x2 + y2 = 36, a fixed point p on c traces out a curve called an epicycloid, with parametric equations x = 7 cos t − cos 7t, y = 7 sin t − sin 7t. find the area it encloses

Answers

9514 1404 393

Answer:

  area = 50π ≈ 157.08 square units

Step-by-step explanation:

The parameter t is the angle in the polar form equation of the curve. The square of the radius is the sum of squares of x and y. The area of a differential sector is ...

  dA = (1/2)r²·dt

The figure has 6-fold symmetry, so we only need to find the area of the first lobe of the curve. The integral is shown in the attachment, which evaluates it numerically.

The epicycloid encloses an area of 50π square units.

Final answer:

To calculate the area enclosed by an epicycloid curve defined by given parametric equations, use the area formula for a plane curve and integrate from 0 to 2π. Calculations involve derivatives and integration.

Explanation:

The area that the epicycloid encloses can be calculated using the formula for the area of a plane curve that is parameterized by the equations you provided: x = 7 cos t − cos 7t, y = 7 sin t − sin 7t. This area can be computed by integrating the expression x dy - y dx from 0 to 2π. In the case of these parametric equations, dx and dy are the derivatives of x and y with respect to t (the parameter), which can be calculated as: dx/dt = -7 sin t + 7 sin 7t, dy/dt = 7 cos t - 7 cos 7t. After calculating these derivatives, substitute them into the aforementioned integral, and perform the integration. The result should be the area that the epicycloid encloses.

Learn more about Calculation of the area of the epicycloid here:

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The number b less the quotient of a number k and 5

Answers

the quotient of a number k and 5 means to divide k by 5.k / 5We will put this is quotes for clarity.(k / 5)the number b less than means to subtract be from (k / 5), so the answer is:(k / 5) - b

Jimmy had three times add many comic books as Charlie. Charlie had 2/3 as many add Bob. Bob had 72 books. how many does Jim have

Answers

Let J = Jimmy and C = Charlie and B = Bob

J = 3C
C = B(2/3)
B = 72

Solving upwards...
C = 72(2/3)
C = 48
J = 3(48)
J = 144

Jim has 144 comic books.