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Sophie [7]
2 years ago
15

Please helpppp!!!!!!!!!!

Mathematics
1 answer:
masha68 [24]2 years ago
3 0

The vertex form of the quadratic function f(x) = x² + 2x + 3 is given as follows:

f(x) = (x + 1)² + 2

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

In this problem, the function is:

f(x) = x² + 2x + 3

Completing the squares, we find the equation in vertex form, as follows:

f(x) = (x + 1)² + 2

As (x + 1)² = x² + 2x + 1, hence 2 has to be added to find the equivalent function.

More can be learned about quadratic functions at brainly.com/question/24737967

#SPJ1

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Find the inverse of the following function.
Naddik [55]

For this case we must find the inverse of the following function:

f (x) = 8 \sqrt {x}

For this, we follow the steps below:

We change f (x) to y:

y = 8 \sqrt {x}

We exchange the variables:

x = 8 \sqrt {y}

We solve for y:

8 \sqrt {y} = x

We divide between 8 on both sides of the equation:

\sqrt {y} = \frac {x} {8}

We raise both sides of the equation to the square to remove the root:

y = (\frac {x} {8}) ^ 2\\y = \frac {x ^ 2} {64}

So, the inverse is:f ^ {- 1} (x) = \frac {x ^ 2} {64}

ANswer:

Option C

3 0
3 years ago
− 4 /5 + 40/75 +100%
Reika [66]

Answer:

0.266666666

Step-by-step explanation:

7 0
3 years ago
Choose the linear inequality that describes the graph. The gray area represents the shaded region.
jek_recluse [69]

Answer:

2x + 3y ≥ 5

Step-by-step explanation:

See the graph attached.

The bold straight line passes through the points (1,1) and (4,-1).

Therefore, the equation of the straight line will be  

\frac{y + 1}{- 1 - 1} = \frac{x - 4}{4 - 1}

⇒ 3(y + 1) = - 2(x - 4)

⇒ 3y + 3 = - 2x + 8

⇒ 2x + 3y = 5 ............. (1)

Now, the shaded region i.e. the solution to the inequality does not include the origin(0,0).

So, putting x = 0 and y = 0 in the equation (1) we get, 0 < 5

Therefore, the inequality equation is 2x + 3y ≥ 5 (Answer)

6 0
3 years ago
Surface area of a cylinder
Paul [167]
703.4 cmsquare
Hope it helps
4 0
3 years ago
Please help i’ll give brainliest please tysm :))
STALIN [3.7K]

Answer:

7

Step-by-step explanation:

Multiply the first collum by 7. It's basically unit rates

3 0
3 years ago
Read 2 more answers
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