1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yanka [14]
3 years ago
12

choose the equation that shows a step in the process of completing the square on the given quadratic. y = x2 8x – 3 y = x2 8x 8

– 3 – 8 y = x2 8x 8 – 3 8 y = x2 8x 16 – 3 – 16 y = x2 8x 16 – 3 16
Mathematics
2 answers:
posledela3 years ago
3 0
Y = x^2 + 8x - 3
y = x^2 + 8x + (8/2)^2 - 3 - (8/2)^2
y = x^2 + 8x + 16 - 3 - 16
anastassius [24]3 years ago
3 0

Answer:

The next step will be : x^{2}+8x+16-3-16.

Step-by-step explanation:

we are given a quadratic equation as:

y=x^2+8x-3

now we have to find next step in the process for completing the square on the given quadratic

y=x^2+4^{2}+2\ \times x \times4-4^{2}-3

y=x^2+8x+16-3-16

Hence, the next step will be y=x^2+8x+16-3-16.


You might be interested in
What expression is equivalent to 36a-27
mezya [45]

Answer:

Another expression:  9*(4a - 3)

Step-by-step explanation:

Though  36a - 27 is the simplest form we can factor it

36a - 27 =  9* (4a - 3)

5 0
3 years ago
Shilo is trying to compute the value of 27 + 55 + 13. She adds 27 + 13 to get 40, and then adds on 55. Which of the following pr
kodGreya [7K]
The answer should be A
5 0
3 years ago
Mixed numbers from 0-2 with intervals of 1/3
prisoha [69]
0, 1/3, 2/3, 1, 1 1/3, 1 2/3, 2
5 0
3 years ago
If a and b are independent events then it must be true that P(A|B)=P(A). TRUE OR FALSE.
Vesnalui [34]
This would be true because it shows that p equals either a or b and it also shows that p equals a which is true because it is one of the independent choices.
6 0
3 years ago
Read 2 more answers
How to know if a function is periodic without graphing it ?
zhenek [66]
A function f(t) is periodic if there is some constant k such that f(t+k)=f(k) for all t in the domain of f(t). Then k is the "period" of f(t).

Example:

If f(x)=\sin x, then we have \sin(x+2\pi)=\sin x\cos2\pi+\cos x\sin2\pi=\sin x, and so \sin x is periodic with period 2\pi.

It gets a bit more complicated for a function like yours. We're looking for k such that

\pi\sin\left(\dfrac\pi2(t+k)\right)+1.8\cos\left(\dfrac{7\pi}5(t+k)\right)=\pi\sin\dfrac{\pi t}2+1.8\cos\dfrac{7\pi t}5

Expanding on the left, you have

\pi\sin\dfrac{\pi t}2\cos\dfrac{k\pi}2+\pi\cos\dfrac{\pi t}2\sin\dfrac{k\pi}2

and

1.8\cos\dfrac{7\pi t}5\cos\dfrac{7k\pi}5-1.8\sin\dfrac{7\pi t}5\sin\dfrac{7k\pi}5

It follows that the following must be satisfied:

\begin{cases}\cos\dfrac{k\pi}2=1\\\\\sin\dfrac{k\pi}2=0\\\\\cos\dfrac{7k\pi}5=1\\\\\sin\dfrac{7k\pi}5=0\end{cases}

The first two equations are satisfied whenever k\in\{0,\pm4,\pm8,\ldots\}, or more generally, when k=4n and n\in\mathbb Z (i.e. any multiple of 4).

The second two are satisfied whenever k\in\left\{0,\pm\dfrac{10}7,\pm\dfrac{20}7,\ldots\right\}, and more generally when k=\dfrac{10n}7 with n\in\mathbb Z (any multiple of 10/7).

It then follows that all four equations will be satisfied whenever the two sets above intersect. This happens when k is any common multiple of 4 and 10/7. The least positive one would be 20, which means the period for your function is 20.

Let's verify:

\sin\left(\dfrac\pi2(t+20)\right)=\sin\dfrac{\pi t}2\underbrace{\cos10\pi}_1+\cos\dfrac{\pi t}2\underbrace{\sin10\pi}_0=\sin\dfrac{\pi t}2

\cos\left(\dfrac{7\pi}5(t+20)\right)=\cos\dfrac{7\pi t}5\underbrace{\cos28\pi}_1-\sin\dfrac{7\pi t}5\underbrace{\sin28\pi}_0=\cos\dfrac{7\pi t}5

More generally, it can be shown that

f(t)=\displaystyle\sum_{i=1}^n(a_i\sin(b_it)+c_i\cos(d_it))

is periodic with period \mbox{lcm}(b_1,\ldots,b_n,d_1,\ldots,d_n).
4 0
3 years ago
Other questions:
  • How many rootes are in f(x)=(x^2-3x+1)^2<br> 2<br> 5<br> 6<br> 9
    7·1 answer
  • The price of a gallon of unleaded gas was $2.81 yesterday. Today, the price rose to $2.86. Find the percentage increase. Round y
    14·1 answer
  • Jodie went to the playground at 1:00 P.M. She played on the slide for 45 minutes and the swings for 45 minutes, then went home.
    7·1 answer
  • Answer please hurryyyy
    15·1 answer
  • Which describes the graph of fx=[x]-2 on [0, 3)?
    6·1 answer
  • Match the numbers to the correct label.
    8·1 answer
  • 1 Find the ratio of 40 paise to rs 2
    12·1 answer
  • What is the area of a circle with a diameter of 8​
    7·1 answer
  • For the following exercises, use logarithmic differentiation to find dy/dx.
    12·1 answer
  • The answer to this question
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!