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4 years ago

What is the minimum value for h(x)=x2−16x+60?

1 answer:

7 0

Minimum value is equal to x=8, y=-4First find the derivative of the original equation which equals= d/dx(x^2-16x+60) = 2x - 16at x=8, f'(x), the derivative of x equals zero, so therefore, at point x = 8, we have a minimum value.Just plug in 8 to the original equation to find the answer for the minimum value.

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What are the solutions to m2 – 9 = 0?

Sati [7]

Answer:

m2-9=0

Step-by-step explanation:

Two solutions were found :

m = 3

m = -3

Step by step solution :

Step 1 :

Trying to factor as a Difference of Squares :

1.1 Factoring: m2-9

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check : m2 is the square of m1

Factorization is : (m + 3) • (m - 3)

Equation at the end of step 1 :

(m + 3) • (m - 3) = 0

Step 2 :

Theory - Roots of a product :

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2 Solve : m+3 = 0

Subtract 3 from both sides of the equation :

m = -3

Solving a Single Variable Equation :

2.3 Solve : m-3 = 0

Add 3 to both sides of the equation :

m = 3

5 0

4 years ago

Jordan needs to write a 20-page

____ [38]

The answer is 2 pages.

5 0

3 years ago

I NEED HELP EXPLAINING HOW I GOT MY ANSWER ILL GIVE 100 POINTS PLEASEEE?!?!?

attashe74 [19]

Answer:

Step-by-step explanation:

S = 2πr² + 2πrh

<u>Move 2πr² to the left side of the equation</u>

That's

2πrh = S - 2πr²

<u>Divide both sides by 2πr to make h stand alone</u>

That's

We have the final answer as

Hope this helps you

6 0

3 years ago

A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and I is red. If it is spun randomly, what is the pr

hichkok12 [17]

Given:

A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and 1 is red.

To find:

The probability of it landing either on a yellow or a red section.

Solution:

We have,

Total number of sections = 8

Black sections = 3

Yellow sections = 4

Red sections = 1

Now,

Either yellow or red sections = 4 + 1

= 5

Now, the probability of it landing either on a yellow or a red section is:

$\text{Required probability}=\dfrac{\text{Either yellow or red sections}}{\text{Total number of sections}}$

$\text{Required probability}=\dfrac{5}{8}$

Therefore, the required probability is $\dfrac{5}{8}$ .

4 0

3 years ago

The perimeters of the rectangle shown are equal. what is the perimeter of each rectangle.

Svetradugi [14.3K]

Answer:

3.2 units

Step-by-step explanation:

Since the perimeters of the rectangles are equal:

n + n + 0.6 = n +0.1 + 2n

2n + 0.6 = 3n + 0.1

0.5 = n

Left Rectangle:

2 (0.5 + 0.5 + 0.6) = 3.2 units

Since they have the same perimeter, the rectangle on the right also has a perimeter of 3.2 units.

6 0

3 years ago