All categories

3 years ago

F(x) = 5x^3+ 2x^2 - 90x - 36. finding all zeros by factoring and explaining the steps

Mathematics

1 answer:

ella [17]3 years ago

8 0

Answer:

f(x)=5x^3-2x^2-90x-36=0

=x^2(5x-2)-18(5x-2)=(x^2-18)(5x-2)=0

x^2-18=0/5x-2=0

x^2=18=x=9√2

5x-2=0

x=2/5

zeros are 9√2,2/5

You might be interested in

Help with this asap!

zmey [24]

Answer:

26?

Step-by-step explanation

because they are vertical? (i think the word) they are equal so set them equal to each other then solve for x

5 0

3 years ago

The diameter of circle is 36 miles. What is the circle's area Use 3.14 for pi

Free_Kalibri [48]

3.14 on the length. but if you add to a graph send another one to my comment and show me

explanation

5 0

2 years ago

Read 2 more answers

Find three consecutive odd integers whose sum is 495.

dedylja [7]

The three consecutive odd integers whose sum is 495 are 163, 165, and 167.

What are consecutive numbers?

⇒ Integers that are listed in a consistent counting pattern are referred to as consecutive integers. There are no numbers missed while listing consecutive integers in a sequence, so the difference between them is always fixed. The difference between each subsequent integer is 1, for instance, can be written as -4, -3, -2, -1, 0, 1, 2, 3, and so on.

What are consecutive odd integers?

⇒ Consecutive odd numbers are odd integers that are separated by 2 and come after one another. If the number x is odd, then the numbers x + 2, x + 4, and x + 6 are also odd.

Calculation:

We are going to take an odd number, x, write its subsequent consecutive numbers, add all of them together, then equate them to 495 to find the number. The equation for x is then resolved.

We have been given that the sum of 3 consecutive odd numbers is equal to 495.

Let the first consecutive odd integer is x.

⇒ Then the next consecutive odd integers becomes x + 2 and the next term becomes x + 2 + 2 = x + 4.

Now the sum of these three odd consecutive terms = x + x + 2 + x + 4 = 3x + 6.

According to the given,

3x + 6 = 495

3x=489

x=163

⇒ Hence, the three consecutive odd integers whose sum is 495 are 163, 165, and 167.

Learn more about consecutive numbers here: brainly.com/question/10853762

#SPJ9

6 0

2 years ago

Read 2 more answers

Use the Fundamental Theorem of Calculus to find the "area under curve" of

lozanna [386]

Answer:

$\displaystyle A = 300$

General Formulas and Concepts:

Calculus

Integrals

Definite Integrals
Area under the curve
Integration Constant C

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

Area of a Region Formula: $\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx$

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 6x + 19

Interval [12, 15]

Step 2: Find Area

Substitute in variables [Area of a Region Formula]: $\displaystyle A = \int\limits^{15}_{12} {(6x + 19)} \, dx$
[Integral] Rewrite [Integration Property - Addition/Subtraction]: $\displaystyle A = \int\limits^{15}_{12} {6x} \, dx + \int\limits^{15}_{12} {19} \, dx$
[Integrals] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle A = 6\int\limits^{15}_{12} {x} \, dx + 19\int\limits^{15}_{12} {} \, dx$
[Integrals] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle A = 6(\frac{x^2}{2}) \bigg| \limits^{15}_{12} + 19(x) \bigg| \limits^{15}_{12}$
Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: $\displaystyle A = 6(\frac{81}{2}) + 19(3)$
Simplify: $\displaystyle A = 300$