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2 years ago

I need help with this

Mathematics

2 answers:

Whitepunk [10]2 years ago

8 0

The answer is 408.4 the formula you s in the pic

Veronika [31]2 years ago

4 0

Answer:

(1/2x6.9x8) (1/2x 10x6.9) =

Step-by-step explanation:

A=952.2m^2

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If zeba were younger by 5 years than what she really is then the square of her age would have been 11 more than five times her a

RSB [31]

Answer:

14 years old

Step-by-step explanation:

Define the variable

Let x be the actual age of Zeba (in years).

Create an equation using the give information and the variable x:

$(x - 5)^2=5x+11$

To find Zeba's age now, solve the equation for x.

Expand the brackets:

$\implies x^2-10x+25=5x+11$

Subtract 5x from both sides:

$\implies x^2-10x+25-5x=5x+11-5x$

$\implies x^2-15x+25=11$

Subtract 11 from both sides:

$\implies x^2-15x+25-11=11-11$

$\implies x^2-15x+14=0$

Factor the found quadratic

To factor a quadratic in the form $ax^2+bx+c$ , find two numbers that multiply to $ac$ and sum to $b$ , then rewrite $b$ as the sum of these two numbers:

$\implies x^2-14x-x+14=0$

Factor the first two terms and the last two terms separately:

$\implies x(x-14)-1(x-14)=0$

Factor out the common term (x - 14):

$\implies (x-1)(x-14)=0$

Apply the zero product property:

$\implies (x-1)=0 \implies x=1$

$\implies (x-14)=0 \implies x=14$

Therefore, Zeba's age now is either 1 or 14 years.

As the question states "If Zeba were younger by 5 years" then 1 must be an extraneous solution since 1 - 5 = -4 and Zeba cannot be -4 years old.

Therefore, Zeba's age now is 14 years old.

Check

Given the actual age of Zeba is 14 years old.

Therefore, If Zeba were younger by 5 years, she would be 9 years old as: 14 - 5 = 9

The square of 9 is: 9² = 81.

5 times her actual age: 5 × 14 = 70

81 is 11 more than 70, hence verifying that her actual age is 14 years old.

Learn more about quadratic equations here:

brainly.com/question/27956741

brainly.com/question/27947331

5 0

1 year ago

Read 2 more answers

The profit function for a product is given by p(x)=-x^3+3x^2+900x-2100, where x is the number of units produced and sold and P i

nalin [4]

Answer:

x = 30 and x = 3 both solve the equation correctly. See work below.

Step-by-step explanation:

The very first step is to realize that p(x) is in hundreds of dollars and that the given number is not. 60000 is not in hundreds of dollars. It is in dollars. 60000 dollars = 60000/100 = 600 hundreds of dollars.

Make the polynomial = 600

-x^3+3x^2+900x-2100 = 600 Subtract 600 from both sides

-x^3+3x^2+900x-2100 - 600 = 0 Combine

-x^3+3x^2+900x- 2700 = 0 Group the first and second term and the Thrid and fourth terms.

(-x^2 + 3x^2) + (900x - 2700) = 0 Bring out the common factors from both groups.

-x^2(x - 3) + 900(x - 3) = 0 Factor out x - 3 on both sides of the plus sign

(- x^2 + 900)(x - 3) = 0 Reverse -x^2 + 900 to 900 - x^2

(900 - x^2)(x - 3) = 0 factor (900 - x^2) using the difference of squares

(30 - x)(30 + x) (x - 3) = 0

The two answers that work are

30 - x = 0 Solve

- x = - 30 Divide by - 1

-x/-1 = -30/-1 Combine

x = 30

============

x - 3 = 0

x = 3

===========

There are two values that will work to give p(x) = 600. There is no way to account for why both values work.

The graph below confirms both answers.

3 0

3 years ago

Please help me solve this 6 1/4 to the square root of 6 1/4

lys-0071 [83]

25/4 that is the answer

3 0

3 years ago

Read 2 more answers

(r3 +6r2 −21r−18)÷(r−3) solve using synthetic division

alexandr402 [8]

Answer:

y = x^2 + 9x + 6 No remainder.

Step-by-step explanation:

The divisor will be 3 The sign on the divisor switches.

3 || 1 + 6 - 21 - 18 ||

3 27 + 18

================================

1 9 6 0

The answser is x^2 + 9x + 6

5 0

3 years ago

Can someone please tell me the answers for this question

Evgen [1.6K]

Ooooooomkkkkkkkkkkkkk

3 0

3 years ago