X2 + 17x − 12 = −84

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

The given quadratic equation is expressed as

x^2 + 17x − 12 = −84

Adding -84 to the left hand side and the right hand side of the equation, it becomes

x^2 + 17x − 12 + 84 = −84 + 84.

x^2 + 17x + 72 = 0

We would find two numbers such that their sum or difference is 17x and their product is 72x^2. The two numbers are 8x and 9x. Therefore

x^2 + 8x + 9x + 72 = 0

x( x + 8) + 9(x + 8) = 0

x + 9 = 0 or x + 8 = 0

x - 9 or x = 8


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Who'd be better at speed answering? Datguy323 or some Helping Hand? (Not a serious question) Solve for the variables: x^3+y^7=28\nx^3=27

Answers

Answer:

x = 3

y = 1

Step-by-step explanation:

The equations are:

x^3+y^7 = 28

and

x^3 = 27

Putting second equation in the first one:

=> 27+y^7 = 28

Subtracting 27 to both sides

=> y^7 = 28-27

=> y^7 = 1

Taking power 7 to both sides

=> y = 1

Now,

x^3 = 27

Taking cube root on the both sides

x = 3

Answer: (3,1)

Step-by-step explanation:

First, to find x, simply take the cube root of 27, or 3.  Thus, x = 3.

Then, simply plug it in:

27+y^7=28\nSubtract(27)\ny^7=1\ny=1

Thus, y = 1

Hope it helps <3

p.s. for some reason, in a graphing calculator, it shows no solutions

Hope it helps <3

2 in a row!

I need help finding the domain and range, I already know is not a function​

Answers

Answer:

Domain: [-4, 4]

Range: [-3, 5]

Function? No

Step-by-step explanation:

Domain is all x-values that can be inputted in the graph that returns an output.

Range is all y-values that are outputted when x is inputted.

A function has to pass the Vertical Line Test.

Find two numbers whose sum is 30, and whose difference is 26

Answers

x + y = 30
x - y = 26
--------------add
2x = 56
x = 56/2
x = 28

x + y = 30
28 + y = 30
y = 30 - 28
y = 2

ur 2 numbers are : 28 and 2

Which of the following groups have terms that can be used interchangeably?a. critical value, probability, proportion
b. percentage, probability, proportion
c. critical value, percentage, proportion
d. critical value, percentage, probability

Answers

percentage, probability, proportion are all very similar terms (not 100% identical but closely related)

The answer is choice B

The probability that the first production line stops is 0.5 while the probability that the second production line stops is 0.22 . If the production lines work independently of each other what is the probability that both lines are working at any given time ?

Answers

Answer:

0.11

Step-by-step explanation:

The events are independent, so:

P(A and B) = P(A) × P(B)

P = 0.5 × 0.22

P = 0.11

Put in order from least to greatest. 0.08, -0.38, - 3/5, - 0.04

Answers

-.38, -0.08 , -.6 or -3/5 ,0.04