Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form.

Answers

Answer 1

Answer: f(x) = x² - 8x + 3
y = x² - 8x + 3
- 3 - 3
y - 3 = x² - 8x + 16
y - 3 + 16 = x² - 8x + 16
y + 13 = x² - 8x + 16
y + 13 = (x - 4)²
- 13 - 13
y = (x - 4)² - 13
f(x) = (x - 4)² - 13

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Which is bigger 49/54 or 8/9

Answers

Answer:

49/54

Step-by-step explanation:

49/54 = 0.9074074074 ≈ 0.9

8/9 = 0.888888....

0.9 > 0.8888....

Therefore:

49/54 > 8/9

49/54 should be the bigger fraction.

Answer:

49/54

Step-by-step explanation:

$(49)/(54)$ is bigger because when brought to decimal form, it equals 0.9074... while $(8)/(9)$ equals 0.8889

Select one of the factors of 3x2 + 4x − 4.
(x + 4)
(3x + 2)
(3x − 2)
(x − 2)

Answers

x-c where c is a number is a factor of the function if and only if the result of the operation gives a remainder is 0. It has been said that R is equal to the function of c. Calculation for this are as follows;

R = f(c) = 0 = 3x^2 + 4x - 4

Solving for x, we obtain

x = 2/3
x = -2

From the choices the answer is the 3rd option.

Answer:

(3x − 2)

Step-by-step explanation:

Given : $3x^2 + 4x - 4$

To Find : Select one of the factors of $3x^2 + 4x - 4$

Solution:

$3x^2 + 4x - 4=0$

$3x^2 + 6x-2x - 4=0$

$3x(x + 2)-2(x +2)=0$

$(x + 2)(3x-2)=0$

Hence (3x − 2) is one of the factors of $3x^2 + 4x - 4$

What is true concerning the lines graphed by the system of equations shown below 8x+6=2y 12x-3=3y

Answers

Answer: the lines are parallel to each other

Step-by-step explanation:

First, what we can do is solve both equations for y, putting them in slope-intercept form, y = mx + b:

2y = 8x + 6 3y = 12x - 3
/ 2 / 2 / 3 / 3
y = 8x/2 + 6/2 y = 12x/3 - 3/3
y = 4x + 3 y = 4x - 1

For both equations, m = 4, or they have the same slope of 4. Lines that have the same slope are parallel to each other.

I hope this helps! :)

What is the length y? Round to the nearest tenth.

Answers

Answer:

y = 5.3

Step-by-step explanation:

It is assumed XYZ is a right triangle.

y/10 = sin 32°
y = 10 sin 32°
y = 5.3

Solve the following system of equations?x + 3y - z = 2
x - 2y + 3z = 7
x + 2y - 5z = -21
a)(2, 3, 5)
b)(-2, 3, 5)
c)(2, -3, 5)
d)(2, -3, 5)

Answers

1x + 3y - 1z = 2 ⇒ 1x + 3y - 1z = 2
1x - 2y + 3z = 7 ⇒ 1x - 2y + 3z = 7
1x + 2y - 5z = -21    5y - 4z = -5
   5y - 4z = -5   ⇒ -20y + 16z = 20
1x + 3y - 1z = 2    -4y + 8z = -28 ⇒ -20y - 40z = -140 1x - 2y + 3z = 7    ⇒ 1x - 2y + 3z = 7       -24z = -120
1x + 2y - 5z = -21 ⇒ 1x + 2y - 5z = -21          -24 -24
   -4y + 8z = -28 z = 5
        5y - 4(5) = -5
      5y - 20 = -5
   +20   +20
   5y = 15
      5 5
   y = 3
      x + 3(3) - 5 = 2
      x + 9 - 5 = 2
   x + 4 = 2
      -4 -4
   x = -2
      (x, y, z) = (-2, 3, 5)
The solution to the answer is B. (-2, 3, 5).

Which describes the line of reflection if figure A'B'C'D' is a reflection of figure ABCD?A.
a vertical line, 6 units to the left of point A

B.
a vertical line, 1 unit to the right of point D

C.
a horizontal line, 6 units below point B

D.
a horizontal line, 1 unit below point C
Think it c

Answers

6 units below B
( 6 blow A,
1 below D,
2 below C)

Other Questions

How do I solve for n?

1.) Which function in vertex form is equivalent to f(x) = x2 + x +1?f(x) = [x + 1/4]2 + 3/4 f(x) = [x + 1/4]2 + 5/4 f(x) = [x + 1/2]2 + 3/4 f(x) = [x + 1/2]2 + 5/4

Write a power that has a value greater than 140 and less than 145.

What does this mean f(5)=-10