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3 years ago

Compare the functions below: Which function has the smallest minimum?

Mathematics

1 answer:

anzhelika [568]3 years ago

5 0

Answer:

D. All three functions have the same minimum value

Step-by-step explanation:

f(x) = -3 sin (x-pi) +2

Sin has a minimum value of -1, but since it is multiplied by a negative, we want its maximum value

sin has a maximum of 1

f (min) = -3(1) +2 = -1

g(x) has a minimum at x =3

g(minimum) = -1

h(x) = (x+7)^2 -1

The smallest a squared value can be is zero

= 0 -1

h(min) =-1

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posledela

Answer:

6(x-8)=5-2x

Step-by-step explanation:

let the number be x

so we have six times the difference between a number and 8

that is 6(x-8).

is equal to 5 less than twice the number ..we have

=5-2x.

therefore, our answer becomes:

6(x-8)=5-2x

5 0

3 years ago

If a4 = 625, what does (a) equal?

Reika [66]

I'm assuming you meant to write a^4 = 625.

If that is the case, then note how 625 = 25^2, and how a^4 is the same as (a^2)^2

So we go from this

a^4 = 625

to this

(a^2)^2 = 25^2

Apply the square root to both sides and you'll end up with: a^2 = 25

From here, apply the square root again to end up with the final answer: a = 5 or a = -5

As a check:

a^4 = (-5)^4 = (-5)*(-5)*(-5)*(-5) = 25*25 = 625

a^4 = (5)^4 = (5)*(5)*(5)*(5) = 25*25 = 625

Both values of 'a' work out

4 0

2 years ago

Given the following system of equations: 2x + 6y = 12 4x + 3y = 15 Which action creates an equivalent system that will eliminate

Charra [1.4K]

Option A and B are correct.

Step-by-step explanation:

We are given the following systems of equation:

$2x + 6y = 12 \\4x + 3y = 15$

We need to identify the action creates an equivalent system that will eliminate one variable when they are combined.

Checking the options:

a) Multiply the second equation by −2 to get −8x − 6y = −30

If we add equation(1) and the new equation(2) the variable y will be eliminated. So, this is the correct option.

b) Multiply the first equation by 2 to get 4x + 12y = 24.

If we subtract new equation(1) and equation(2), the variable x will be eliminated. So, this is the correct option.

c) Multiply the second equation by −4 to get −16x − 12y = −60

By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.

d) Multiply the first equation by −4 to get −8x − 24y = −48.

By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.

So, Option A and B are correct.

Keywords: Solve System of equations

Learn more about solving system of equations at:

#learnwithBrainly

7 0

2 years ago

Read 2 more answers

Mary moves 3 steps backward as she dances

IgorLugansk [536]

Where’s the question????

3 0

2 years ago

What is universal gravitational constant

koban [17]

Answer:

6.67408 × 10^-11 m^3 kg^-1 s^-2

Step-by-step explanation:

F = G M 1 M 2 d 2 , where F is the gravitational force between two point masses, M1 and M2; d is the distance between M1 and M2; G is the universal gravitational constant, usually taken as 6.670 × 1011 m3/(kg)(s2) or 6.670 × 10−8 in centimeter–gram–second units. a = F M 1 = G M 2 r 2 .

8 0

2 years ago