F(x)=5x^2-70x+258
Solving by completing square methods gives us:
5x^2-70x=-258
x^2-14x=-51.6
c=(b/2a)^2
c=(-14/2)^2
c=49
x^2-14x+49=-51.6+49
(x-7)(x-7)=-2.6
(x-7)^2=-2.6
multiplying through by 5 you get:
5(x-7)^2+13=0
The answer is:
A] 5(x − 7)2 + 13; The minimum cost to produce the product is $13.

7 0

3 years ago

Can someone please help me in this

mel-nik [20]

Answer:

A=60

The angle measures from least to greatest are 60, 60, 120, 120

Step-by-step explanation:

360=6a

(divide by 6)

60=a

(plug it back in)

2a= 2(60)

2a=120

6 0

3 years ago

A tourist takes a picture with a Moai statue on Easter Island. In the photograph, the Moai statue is approximately 4.54.54, poin

KengaRu [80]

Answer:

The of the tourist is 1.67 meters.

Step-by-step explanation:

Height of statue in photograph = 4.5 inches.

Height of tourist in photograph = 1.25 inches.

$\dfrac{Statue}{Tourist}=\dfrac{4.5}{1.25}$

Actual height of statue = 6.0 meters.

We need to find the the actual height of the tourist in meters.

Let x be the actual height of the tourist in meters.

$\dfrac{Statue}{Tourist}=\dfrac{6.0}{x}$

Ratio of height of statue and tourist are proportional.

$\dfrac{4.5}{1.25}=\dfrac{6.0}{x}$

$3.6=\dfrac{6.0}{x}$

$3.6x=6.0$

$x=\dfrac{6.0}{3.6}$

$x\approx 1.67$

Therefore, the of the tourist is 1.67 meters.

5 0

4 years ago

What value of x is in the solution set of 4x - 12 S 16 + 8x?

Jobisdone [24]

You gave little context, so here is a few solutions.

POSSIBLE #1:

assuming s is a variable

---> Simplify $12S$ × $16$ to $192S$

$4x-192S+8x$

---> Collect like terms.

$(4x+8x)-192S$

---> Simplify.

$12x-192S$

POSSIBLE #2: (assuming s is not relevant)

Simplifying

4x + -12 = 16 + 8x

Reorder the terms:

-12 + 4x = 16 + 8x

Solving

-12 + 4x = 16 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

-12 + 4x + -8x = 16 + 8x + -8x

Combine like terms: 4x + -8x = -4x

-12 + -4x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0

-12 + -4x = 16 + 0

-12 + -4x = 16

Add '12' to each side of the equation.

-12 + 12 + -4x = 16 + 12

Combine like terms: -12 + 12 = 0

0 + -4x = 16 + 12

-4x = 16 + 12

Combine like terms: 16 + 12 = 28

-4x = 28

Divide each side by '-4'.

x = -7

Simplifying

x = -7

If there are any other ways to solve this please add more context in the comments below this answer! Hope this was helpful! Have a marvelous day/night!

4 0

3 years ago