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
guapka [62]
3 years ago
8

Find the discriminant, and determine the number of real solutions. then solve 2x^2+3x-9=0

Mathematics
1 answer:
LekaFEV [45]3 years ago
7 0
Discriminant = 
b² - 4ac

3² - 4(2)(- 9)
9 + 72
81

Your equation has two real solutions.

2x² + 3x - 9 = 0
2x² + 6x - 3x - 9 = 0
2x(x + 3) - 3(x + 3) = 0

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

Set each equal to zero:

2x - 3 = 0
2x = 3
x = 3/2

x + 3 = 0
x = - 3

Your two solutions are x = - 3, 3/2
You might be interested in
A river is flowing at the speed of 2 miles per hour. A kayaker moves 528 feet upstream in 20 minutes. At this rate, how fast wou
CaHeK987 [17]
D=rt
r=(boatrate+riverrate)=(x+2)mph

d=528ft=528/5280mi=1/10mi
t=1/3hr
remember to keep the same units
so

1/10=(x+2)(1/3)
times both sides by 3
3/10=x+2
minus 2 or 20/10
-17/10=x
-1.7=x
it would be going -1.7mph (means going backwards)
4 0
3 years ago
If 60% of a KNOWN NUMBER is 180, what is the 40% of that UNKNOWN NUMBER?
Lana71 [14]

Step-by-step explanation:

I think you mean you want to find out 40% of a number,, when 60% of it is 180, so I'll answer that:

60% = 180

÷6

10% = 30

x4

40% = 120

(if you want to find 100%, multiply 30 by 10)

Hopefully this helps :)

4 0
2 years ago
A quadrilateral has angles that measure 101°, 133°, and 76°. what is the measure of the fourth angle?
Mars2501 [29]

It would be: 360- (101+133+76)

360-310 = 50 degree

6 0
3 years ago
In everyday English, interpret the financial meaning of the
Gemiola [76]

Answer:

The y-intercept refers to the y-coordinate of a point where a curve or a line, intersects the y-axis.

In the given equation, the y-intercept is ( 0, 9.5).

Step-by-step explanation:

We have been given the equation;

y=0.10x+9.50

The y-intercept is simply the y-coordinate of a point where the line intersects the y-axis. At this point, the value of x is usually zero.

y = 0.10 (0) + 9.50

y = 0 + 9.50

y = 9.50

is our y-intercept

8 0
3 years ago
At higher elevations water boils at lower temperatures. The temperature at which water boils is called the boiling point of wate
Irina-Kira [14]

Answer:

  The boiling point of water is between 84 °C and 88 °C when the elevation is between 3.4 and 4.6 km.

Step-by-step explanation:

You want x such that ...

  84 ≤ B(x) ≤ 88

  84 ≤ 100 -3.5x ≤ 88 . . . . substitute for B(x)

  -16 ≤ -3.5x ≤ -12 . . . . . . . .subtract 100

  4.6 ≥ x ≥ 3.4 . . . . . . . . . . .divide by -3.5; this reverses the inequality

4 0
3 years ago
Other questions:
  • Please help!!!
    11·1 answer
  • Sally has a piece of cloth used 1/3 of a foot of the cloth to make a pillow cover in another 4/7 of a foot of the cloth to make
    8·1 answer
  • 2/11 , 8/15, 7/13, 5/12<br> Which fraction does not belong with the other three?
    7·1 answer
  • Bob drove 120 miles on his vacation. He drove an average of 1.2 times faster on the second 60 miles of his trip than he did on t
    13·2 answers
  • what are the domain and range of the following functions? write your answer using inequality symbols if possible
    15·1 answer
  • What happens when you multiply a positive number by a number greater than 1?
    11·1 answer
  • Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard deviation of this binomial
    6·1 answer
  • Point B lies on AC between A and C. If AB = 8 and AC = 10, find BC.
    13·2 answers
  • The last option is -4, -3
    12·1 answer
  • Please help me with this geometry question and show work
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!