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
miss Akunina [59]
3 years ago
8

F(x)= 3x^2+5x-8. Solve the quadratic equation

Mathematics
1 answer:
7nadin3 [17]3 years ago
7 0

Answer:

             \bold{x_1=1\ ,\quad x_2=-\dfrac83}

Step-by-step explanation:

3x^2+5x-8=0\quad\implies\quad a=3\,,\ b=5\,,\ c=-8\\\\x=\dfrac{-5\pm\sqrt{5^2-4(3)(-8)}}{2\cdot3}=\dfrac{-5\pm\sqrt{25+96}}{6}=\dfrac{-5\pm\sqrt{121}}{6}\\\\ x_1=\dfrac{-5+11}{6}=1\ ,\qquad x_2=\dfrac{-5-11}{6}=\dfrac{-16}6=-\dfrac83

You might be interested in
Write an equation that describes the function.
Leona [35]
From the points you get a slope of -1 using the slope in y=mx+b you get b=1 so y=-x+1
5 0
3 years ago
Read 2 more answers
The graph shows the relationship.....
Anna35 [415]

Answer:

Part A: That 6 pounds of rice costs $18

Part B: (1,3) represents the unit price

Part C: 4 pounds of rice, because $12/3 equals 4

Step-by-step explanation:

Part A: The first point, 6, is on the amount of rice axis and the second point, 18, is on the total cost axis.

Part B: The unit price means the price for just 1 of something, so if you go to 1 pound of rice on the graph, you see it's at 3 on the total cost axis. Which means that 1 pound of rice costs $3.

Part C: From Part B you know that 1 pound of rice equals $3. So if you spend $12, then you can divide that by $3 to see how many pounds of rice you bought. 12/3 equals 4, so you bought 4 pounds of rice. Or you can count by 3's until you get to 12: 3, 6, 9, 12. That's 4 times so that means you bought 4 pounds of rice.

5 0
3 years ago
What x-values are a solution to the system? Select each correct answer the answers are
Brut [27]
I think the sabers are X=2 and X=-2
6 0
3 years ago
A teacher decides to purchase a new car and considers two options. Option one is the new Zoomba for $60,000 with an expected dep
Igoryamba
Don’t now the answer but 60000 2% would be 1200 times 12 time 3 would be 43200$ for the 60k one and then 200 a month would be 7200 for three years that’s all I know
8 0
2 years ago
What is the equation of the graphed line written in standard form?
Masja [62]

First you'll find the equation of the graphed line in slope-intercept form, y = mx+b, and then from there we'll convert it into standard form, ax+by = c.

To find the slope of the line you could either use the two points on the line or just look and see.

Start from the point farther down, the point on (5,0). Look and see how many units it takes to go up/down to where the point on (0,3) is.

If it goes up, then you are at a positive slope so far. If it goes down, then you are at a negative slope so far. It takes 3 units UP (positive) to go onto the line that (0,3) is on.

Now see how far does it take to go left/right to where the point on (0,3) is. If you have to go left, that means you have a negative; if it goes right then you have a positive. It takes 5 units LEFT (negative) to where (0,3) is.

A positive (up) and a negative (left) make a negative, so your slope is how many units it took to go vertically/how many units it took to go horizontally.

Your slope is -3/5.

Now to solve for b, or the y-intercept, you can look on the graph to see where the point lies on the y-axis (vertical). The point lies on 3 on the y-axis, so your y-intercept is 3.

Since you have the slope and can see the y-intercept of the graphed line, you can make the equation y = mx+b by plugging in -3/5 for the slope and plugging in 3 for b (y-intercept).

y = (-3/5)x+(3)

Remove the parentheses: y = -3/5x+3.

Now to convert from slope-intercept form into standard form, you will have to move everything to the left side and leave only b, or 3.

Add -3/5x to both sides.

3/5x+y = 3

You can't have a fraction in standard form, so multiply everything in the equation by 5.

3x+5y = 15

Answer is:

C. 3x+5y = 15

7 0
3 years ago
Read 2 more answers
Other questions:
  • Some sewing supplies are stored in a container that is
    11·1 answer
  • Sophia spent 7.30 for school supplies. She spent 3.00 for a notebook and 1.75 for a pen. She also bought 3 large erasers.If each
    9·1 answer
  • The automatic opening device of a military cargo parachute has been designed to open when the parachute is 135 m above the groun
    14·1 answer
  • A bookstore sells textbooks for $40 each and notebooks for $2 each. The bookstore would like to sell
    5·1 answer
  • How do I solve this question?
    12·1 answer
  • Can you guys help me on this one please ?
    13·1 answer
  • Find the distance between the points given.<br> (-3,-6) and (3, 2)<br> 4<br> 152<br> 10
    11·1 answer
  • A photo of an ant in a science book is increased to 618% as large as the actual size. If the ant is 15 millimeter, what is the s
    13·1 answer
  • What App can <br> I talk live to professors in chat ?
    6·2 answers
  • These two triangles are congruent.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!