Use the intermediate value theorem to choose an interval over which the function, f(x)=2x^3 - 3x +5 is guaranteed to have a zero.

The answer is c. {0,2).

Step-by-step explanation:

An interval over which the function, f(x) = -2x³ - 3x +5 is guaranteed to have a zero is [0,2]

If equation ax³ + bx² + cx + d = 0 has roots x₁ , x₂ , and x₃ then

Let us now tackle the problem!

Given:

Because both of the value of f(-3) and f(-2) are positive , we cannot guarateed the value of the function will be zero at interval [-3,-2]

Because both of the value of f(0) and f(-2) are positive , we cannot guarateed the value of the function is zero at interval [-3,-2]

Because the value of f(0) and f(2) have different sign , we can guarateed the value of the function will be zero at interval [0,2] , i.e. there is zero between 5 and -17 → -17 < 0 < 5

Because both of the value of f(4) and f(2) are negatve , we cannot guarateed the value of the function is zero at interval [2,4]

Grade: High School

Subject: Mathematics

Chapter: Polynomial

Keywords: Quadratic , Equation , Discriminant , Real , Number

examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality

step-by-step explanation:

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47