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
Lapatulllka [165]
3 years ago
15

Use the quadratic formula to solve x2 – 3x - 2 = 0.

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
8 0

Answer:

2.5 or 3.5

Step-by-step explanation:

The quadratic formula is x = -b +/- \frac{\sqrt{b^2 + 4ac}}{2a} .

a, b, and c are determined by the terms in the formula ax^2 + bx + c

They gave you the equation x^2 - 3x - 2, which fits that formula. a is 1, b is -3, and c is -2. So plug those values into the equation:

x = -(-3) +/- \frac{\sqrt{(-3)^2 + 4(1)(-2)}}{2(1)}

x = 3 +/- \frac{\sqrt{9 -8}}{2}

x = 3 +/- \frac{\sqrt{1}}{2}

x = 3 +/- \frac{1}{2}

So x is 3 plus or minus -1/2. 3 plus -1/2 is 2.5

3 minus -1/2 is 3.5

So the 2 possible x values are 2.5 and 3.5.

r-ruslan [8.4K]3 years ago
6 0

Answer:

x = 2 , 1

Step-by-step explanation:

You might be interested in
Find the mean for the amounts: $17,485; $14,978; $13,592; $14,500; $18,540; $14,978. Round to the nearest dollar.
Phoenix [80]

Answer:$15,679

Step-by-step explanation:

Mean is calculated as total sum of the amount divided by number of the amount.

From the given question, we add the amount together and divide by six:

Mean = $17,485 + $14,978+ $13,592 +$14,500 + $18,540 +$14,978/6

=$94,073/6

=$15,678.8

To the nearest dollar will be $15,679 since 0.8 is greater than 0.5, we round up.

I hope this helps.

8 0
3 years ago
Dustin bought 3 shirts and a belt. Each shirt cost the same amount of money, and the belt cost $22.50. If the total amount Dusti
Dvinal [7]
3x+22.5 = 69.75
    -22.5    -22.5

3x = 47.25
 /3       /3

x = 15.75

The price of each shirt before tax is $15.75
8 0
3 years ago
Question 15 of 46
kifflom [539]

The given polynomial function has 1 relative minimum and 1 relative maximum.

<h3>What are the relative minimum and relative maximum?</h3>
  • The relative minimum is the point on the graph where the y-coordinate has the minimum value.
  • The relative maximum is the point on the graph where the y-coordinate has the maximum value.
  • To determine the maximum and the minimum values of a function, the given function is derivated(since the maximum or minimum is obtained at slope = 0)

<h3>Calculation:</h3>

The given function is

f(x) = 2x³ - 2x² + 1

derivating the above function,

f'(x) = 6x² - 4x

At slope = 0, f'(x) = 0 (for maximum and minimum values)

⇒ 6x² - 4x = 0

⇒ 2x(3x - 2) = 0

2x = 0 or 3x - 2 = 0

∴ x = 0 or x = 2/3

Then the y-coordinates are calculated by substituting these x values in the given function,

when x = 0;

f(0) = 2(0)³ - 2(0)² + 1 = 1

So, the point is (0, 1)

when x = 2/3;

f(2/3) = 2(2/3)³ - 2(2/3)² + 1 = 19/27

So, the point is (2/3, 19/27)

Since y = 1 is the largest value, the point (0, 1) is the relative maximum for the given function.

So, y = 19/27 is the smallest value, the point (2/3, 19/27) is the relative minimum for the given function.

Thus, option A is correct.

Learn more about the relative minimum and maximum here:

brainly.com/question/9839310

#SPJ1

3 0
2 years ago
Brian has DVDs and CDs. The number of CDs he has can be modelled with the formula C = 2D + 11, where C represents the number of
wel

Answer: <u> 15 DVDs</u>

Step-by-step explanation:

C = 2D + 11

41 = 2D + 11

2D = 30

D = 15 DVDs

7 0
2 years ago
Here's a graph of a linear function. Write the equation that describes that function. (Express it in slope-intercept form.)
rusak2 [61]

Answer:

y=\frac{1}{2}x+4

Step-by-step explanation:

The equation of a linear function in a slope-intercept form is written as

y=mx+q

where

m is the slope of the line

q is the y-intercept

We proceed as follows. First of all, we find the y-intercept, which is the value of y at which the line touches the y-axis.

From the graph, we see that this occurs at y = 4, therefore the y-intercept is

q=4

Now we have to find the slope. We do that by choosing two points along the line, with coordinates (x_1,y_1) and (x_2,y_2) and by using the equation

m=\frac{y_2-y_1}{x_2-x_1}

Here we take the two points:

(0,4)

(-8,0)

So the slope is

m=\frac{4-0}{0-(-8)}=\frac{1}{2}

Therefore, the equation of the line is

y=\frac{1}{2}x+4

5 0
3 years ago
Other questions:
  • Which statement is not always true for a parallelogram?
    13·2 answers
  • Evaluate log4 16. (2 points) −4 −2 2 4
    5·2 answers
  • Please help me quick
    7·1 answer
  • The time required for a citizen to complete the 2010 U.S. Census "long" form is normally distributed with a mean of 40 minutes a
    12·1 answer
  • Help Me With this question!!!!!!!!!! please
    13·1 answer
  • 32 is 4 more than twice a<br> number. What is the number?
    10·1 answer
  • Juan. ill give brainlesit
    11·1 answer
  • HELPPPPPP (WORTH 20 POINTS)
    14·1 answer
  • What is equavalent to c-25c
    5·2 answers
  • If you stand facing east and turn through 3/4 of a revolution, in which direction will you be facing?​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!