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3 years ago

2(n - 1) + 4n = 2(3n - 1)

1 answer:

3 0

2(n - 1) + 4n = 2(3n - 1)
2n - 2 + 4n = 6n -2
6n - 2 = 6n - 2 (equal)
6n - 6n = 2 - 2
0 = 0

whatever value you put into the place of n, you'll get 0 = 0

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The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

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3 years ago

What is the cube of 6

olga2289 [7]

The answer is 216

Hope this helps

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3 years ago

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Llana [10]

Answer:

1/4

Step-by-step explanation:

We can use the slope formula to find the slope

m = (y2-y1)/(x2-x1)

= (2-0)/(4 - -4)

= (2-0)/( 4+4)

= ( 2/8)

= 1/4

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Taya2010 [7]

If you just want to solve for h, as it appears, isolate h by dividing both sides of the equation by 6.25.

That leaves h = 16. (16 hours, presumptively).

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3 years ago

Which of the following is the best estimate for the weight of a pick-up truck?

Cloud [144]

Answer:

5 T

Step-by-step explanation:

It is the only one remotely close to the weight of a pick-up truck.

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3 years ago

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