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Lana71 [14]
3 years ago
8

Helpppppppppppppppppppppp

Mathematics
1 answer:
castortr0y [4]3 years ago
7 0
Answer: second option y = 2(x + 7/2)^2 + 1/2

Explanation:

1) given:

y = (x + 3)^2 + (x + 4)^2

2) expand the binomials:

y = x^2 + 6x + 9 + x^2 + 8x + 16

3) add like terms:

y = 2x^2 + 14x + 25

4) take common factor 2 of the first two terms:

y = 2 (x^2 + 7x) + 25

5) complete squares for x^2 + 7x

x^2 + 7x = [x +(7/2)x ]^2 - 49/4

6) substitue x^2 + 7x = (x + 7/2)^2 - 49/4 in the equation for y:

y = 2 [ (x + 7/2)^2  - 49/4] + 25

7) take -49/4 out of the square brackets.

y = 2 (x + 7/2)^2 - 49/2 + 25

8) add like terms:

y = 2(x + 7/2)^2 + 1/2

And that is the vertex for of the given expression.

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<img src="https://tex.z-dn.net/?f=18%20310%20%E2%88%92%209%20910%20%3D" id="TexFormula1" title="18 310 &minus; 9 910 =" alt="18
Marta_Voda [28]

Answer:

8400

Step-by-step explanation:

18310 - 9910

= 8400

Hope it helps you!!

#IndianMurga(. ❛ ᴗ ❛.)

3 0
2 years ago
For the function given, state the middle line; f(t) = 40cos (80t + 20)
Digiron [165]

In the standard form of the equation

\\ \ f(t)=Acos[b(t\pm c)]+k\\ \\

The middle line =k

For our given problem

f(t) = 40cos (80t + 20)

On comparison we get k=0

Hence middle line=0

8 0
3 years ago
What is the multiplicity of each of the roots of the graph of
pantera1 [17]

Answer:

The correct option is;

C. -3, multiplicity 2; -1, multiplicity 1; 1, multiplicity 1

Please find attached the required function graph

Step-by-step explanation:

To solve the equation f(x) = 2·x⁴ + 12·x³ + 16·x² -12·x - 18, by graphing the function, we have;

x {}       F(x)

-4{}       30

-3{}       0

-2{}       6

-1{}        0

0 {}      -18

1{}         0

2{}       150

The shape of a graph with multiplicity of 2

Given that the graph bounces of the horizontal axis at the y-intercept at point x = -3, the factor (x - 3) must be a quadratic of the form (x - 3)², thereby having a multiplicity of 2 in the solution which are;

x = 1, -1, and, giving

(x - 1)·(x + 1)·(x - 3)² = 0

Therefore, the correct option is -3, multiplicity 2; -1, multiplicity 1; 1 multiplicity 1.

3 0
3 years ago
Read 2 more answers
Which of the following is not needed when making a box plot?
algol13
The mean is not needed to make a box plot.

I hoped this helped!
3 0
3 years ago
Read 2 more answers
Ivanna and her husband are each starting a saving plan. Ivanna will initially set aside $50 and then add $50.85 every week to th
Olenka [21]

Answer:

N=0.019666a-0.983284 or

A = 50.85n + 50

Step-by-step explanation:

Let's solve for n.

a = 50 + 50.85n

Step 1: Flip the equation.

50.85n + 50 = a

Step 2: Add -50 to both sides.

50.85n+50+-50=a+-50

50.85n n = a - 50

Step 3: Divide both sides by 50.85.

50.85n

50.85

=

a-50

50.85

n=0.019666a-0.983284

Let's solve for a.

a = 50 + 50.85n

3 0
2 years ago
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