3 years ago

Solve by completing the square

Mathematics

1 answer:

Alexxandr [17]3 years ago

5 0

Answer:

X¹=-11; X²=3

x ^ 2 + 8x - 33 = o

x ^ 2 + 11x - 3x - 33 = 0

x(x + 11) - 3(x + 11) = 0

(x + 11)(x - 3) = 0

You might be interested in

Determine whether quantities vary directly or inversely and find the constant of variation. 16 factory workers made 40 pieces in

Andrei [34K]

Answer:

Part A) $8\ workers$

Part B) $10\ workers$

Part C) $40\ workers$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

x -----> the number of workers

y ----> the number of pieces made

In this problem

The relation between the variables x and y represent a direct variation (proportional variation)

For x=16, y=40

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

substitute the values

$k=\frac{y}{x}$

$k=\frac{40}{16}\\k=2.5\ \frac{pieces}{worker}$

The linear equation is equal to

$y=2.5x$

Part A) How many workers are needed to make 20 pieces

For y=20 pieces

substitute in the linear equation

$20=2.5x$

$x=8\ workers$

Part B) How many workers are needed to make 25 pieces

For y=25 pieces

substitute in the linear equation

$25=2.5x$

$x=10\ workers$

Part C) How many workers are needed to make 100 pieces

For y=100 pieces

substitute in the linear equation

$100=2.5x$

$x=40\ workers$

3 0

3 years ago

Determine the truth value of each statement based on the expression. 6x^2 - 2x - 14y + 3x 1. There are 4 terms. (True or False)

Blababa [14]

1. True

2. False

3. False

4. False

5. True

8 0

3 years ago

Read 2 more answers

The total number of marbles is 70 and there are 6 times as many blue marbles as yellow marbles. how many red marbles are in the

oksano4ka [1.4K]

There are multiple answers, you would need to know some of the other variables. Just do this. 70 - ( y * b) = r

3 0

3 years ago

The blue line is the graph of y – 1 = x. Use the sliders to make the orange line represent 2x + y = –5. Examine the graph. What

mafiozo [28]

Answer(-2, -1)

Step-by-step explanation:

I guessed and got it right.

7 0

3 years ago

Read 2 more answers

How do you solve -1/3y-6=-11?

Ket [755]

Answer:

y=15

Step-by-step explanation:

-1/3(15)-6=-11

-5-6=-11

5 0

4 years ago

Read 2 more answers