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
QveST [7]
3 years ago
12

Using the quadratic formula, the solutions to a quadratic equation are given by (equation is in image)

Mathematics
1 answer:
s2008m [1.1K]3 years ago
6 0

Answer:

a = -3

b = 3

c = 4

Step-by-step explanation:

Let's do this the long way!

x = \frac{-3 \pm\sqrt{3^2 - 4 \times (-3) \times 4}}{2 \times (-3)}\\-6x = -3 \pm\sqrt{3^2 - 4 \times (-3) \times 4}\\-6x + 3 = \pm\sqrt{3^2 - 4 \times (-3) \times 4}\\(-6x + 3)^2 = 3^2 - 4 \times (-3) \times 4\\36x^2 - 36x + 9 = 9 + 48\\36x^2 - 36x - 48 = 0\\3x^2 - 3x - 4 = 0

So a = 3, b = -3, and c = -4

HOWEVER:

When you look at the terms in the solution originally given, the are all the negatives of what we see here.  That however makes sense, as we can simply multiply both sides of the equation to get the results they used:

3x^2 - 3x - 4 = 0\\-1(3x^2 - 3x - 4) = -1(0)\\-3x^2 + 3x  + 4 = 0

You might be interested in
last weekend, 5% of the tickets sold at sea world were discount tickets. If sea world sold 60 tickets in all, how many discount
Ronch [10]
The percent proportion is a/b = p/100, where p is the percentage of the total fraction on the left side of the equation that you are trying to figure out.

We know that p=5, because p represents percentage, and the percentage 5% is equal to the fraction 5/100.  Also, we know that 60 = b, or the denominator as this is the entire portion that we are trying to figure out.

a/60=5/100

Now, we need to use cross products, or multiplying the numerator of one fraction by the denominator of the other, and setting them equal to one another.

100 * a = 60 * 5

If we simplify by multiplying, then we get the equation:

100a = 300

When we divide the variable by the coefficient, we get the equation

a=3

Therefore, sea world sold 3 discount tickets.

5 0
3 years ago
What are the next two numbers? 0.3 , 0.7 , 1.1 , 1.5 ,
Dmitry [639]
There is an increment of 0.4 in each term. Next will be
[1.5+0.4], [1.5+0.4+0.4]
1.9, 2.3
3 0
3 years ago
Read 2 more answers
Simplify. 9x^8-18x^6
GrogVix [38]
You cannot simplify this but you can factorise it:

9x^6 (x^2 - 2)
7 0
3 years ago
100 POINTS!! HELP!!!! BRAINLIEST ANSWER
Black_prince [1.1K]

The turning point is (3,3). The x to make the absolute value negative would be 2. The ordered pair would then be (0,3)

8 0
3 years ago
Read 2 more answers
Samantha is making flower arrangements. She has 32 roses and 96 daisies. If she wants to make all the arrangements identical and
-Dominant- [34]

Answer:

3 daisies.

Step-by-step explanation:

Given that,

Samantha has 32 roses and 96 daisies.

She wants to make all the arrangements identical and have no flowers left over. We need to find the no of daisies in each flower arrangement.

For this, we need to first find the HCF of 32 and 96.

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

HCF = 32

No of daisies = 96/32 = 3

Hence, there are 3 daisies in each flower arrangement.

7 0
3 years ago
Other questions:
  • Can I have some help finding the area to this? Can someone also explain how to figure this out?? PLEASE
    12·1 answer
  • Solve (5x-10)°=(3x+40)°
    11·1 answer
  • If x is 5, then 6x =
    8·2 answers
  • 5-2(x+2)=12 <br> Decimal Form and work under the problem too HURRY!!!1
    13·1 answer
  • What is the answer to -3(x-3)​
    15·1 answer
  • A bag of gumdrops contains 17 orange gumdrops, 8 yellow gumdrops, and 12 black gumdrops whats the percentage of the yellow
    14·1 answer
  • What is the value of -2(5) + 3?
    15·2 answers
  • Lin cooked a pot of soup, then put half the soup in the freezer for a while. Now the soup in the pot is hot, and the soup in the
    7·2 answers
  • Which rational number corresponds to point A on the number line?
    12·1 answer
  • Answer pleaseee!!! There is a screen shot attached!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!