All categories

3 years ago

Solve x^2 + 8x = 33 by completing the square. Which is the solution set of the equation?

Mathematics

1 answer:

ryzh [129]3 years ago

3 0

Answer:

A: {-11, 3}

Step-by-step explanation:

$x^2 + 8x = 33\\x^2+8x+16=33+16\\(x+4)^2=49\\x+4=\pm \sqrt{49} \\x=-4 \pm 7\\\\x_{1}=3 \\x_{2}=-11$

You might be interested in

Problem 2-11 (Algorithmic) Let A be an event that a person's primary method of transportation to and from work is an automobile

dangina [55]

The events are mutually exclusive, because your primary method can't be both a driving a car or taking a bus.

Since they are exclusive, the probability of the "or" clause is the sum of the probabilities:

$P(A\lor B)=P(A)+P(B)=0.48+0.32=0.8$

Since a person primarily takes a bus with probability 0.32, the opposite happens with probability

$1-P(B) = 1-0.32=0.68$

7 0

3 years ago

Geri spent Friday, Saturday and Sunday selling a total of 24 magazines orders for her school.The amounts on those 3 days were co

ryzh [129]

The sale on Friday = x = 6

The sale on Saturday = x+2 = 6 + 2 =8

The sale on Sunday = x+4 = 6+4 =10

Step-by-step explanation:

Let x be the sale of Friday

Then

x+2 will be the sale of Saturday

x+4 will be the sale of Sunday

According to the given statement, that the total sales were 24

$x+(x+2)+(x+4) = 24\\x+x+2+x+4 = 24\\3x+6 = 24\\Subtracting\ 6\ from\ both\ sides\\3x+6-6=24-6\\3x=18\\Dividing\ both\ sides\ by\ 3\\\frac{3x}{3} = \frac{18}{6}\\x=6$

The sale on Friday = x = 6

The sale on Saturday = x+2 = 6 + 2 =8

The sale on Sunday = x+4 = 6+4 =10

Keywords: Linear equations

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago

Harrison has a total of 30 red and green bowling balls at his bowling alley. Each red ball weighs 8lbs and each green ball weigh

makkiz [27]

The answer is on the paper

4 0

3 years ago

Plz help I’m am getting timed

forsale [732]

Answer:

2/8

Step-by-step explanation:

2/8 or 1/4

5 0

3 years ago

Read 2 more answers

Solve for x a)14.5 b)10 c)6/3 d) 20

insens350 [35]

Answer:

b. 10

Step-by-step explanation:

The triangles are all similar, so you have ...

hypotenuse/short side = x/4 = 25/x

Cross multiplying gives ...

x^2 = 100

x = 10 . . . . . . . take the square root

5 0

3 years ago

Read 2 more answers