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
Tju [1.3M]
2 years ago
12

How many times does the graph of the function below interect or touch the x-axis? y=-2x^2+3x+5

Mathematics
1 answer:
Andrei [34K]2 years ago
7 0

Answer:

Two times at (-1,0) and (2.5,0)

Step-by-step explanation:

When the graph intersects or touches x-axis, y is equal to 0

so y = -2x^2 + 3x + 5

=> 0 = -2x^2 + 3x + 5

The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a

so a = -2

    b = 3

    c = 5

substitute in the formula

x = [-3 +/- √(3^2 - 4x-2x5)]/2(-2)

x = [-3 +/- √(9 + 40)]/(-4)

x = [-3 +/- 7]/(-4)

x1 = (-3 + 7)/(-4) = 4/-4 = -1

x2 = (-3 - 7)/(-4) = -10/-4 = 5/2 = 2.5

so the graph has two x-intercepts (-1,0) and (2.5,0), therefore it intersects x-axis two times

You might be interested in
(06.04)
otez555 [7]

Answer:

5x/3y2

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
20 POINTS!!!!!!!!!! WILL MARK BRAINLIEST!!!
gtnhenbr [62]
Just do b*h/2 for all the triangles.
3 0
3 years ago
Will has 24 t-shirts; 1/4 are yellow and 1/3 are white. How many t-shirts are not white neither yellow
N76 [4]

Answer:

The answer would come to be 10 shirts are not white nor yellow, but six are yellow and eight are white,

Step-by-step explanation:


6 0
3 years ago
At the end of the sale, 22 crossbody purses were sold at $15 each, 34 wristlets priced at $12 were sold, 96 satchels marked at $
Brrunno [24]

Answer:

Average: 26.223529411764706 (Please round to the place value necessary since it does not say in the question.)

Step-by-step explanation:

We first find the number of items sold: 170

Then we find the total cost: 4458

We then divide 4458 by 170

We end up with the answer 26.223529411764706. (Please round to the place value necessary since it does not say in the question.)

5 0
2 years ago
Evaluate 2(s+t)^3-6when s = 3 and t = 2
Komok [63]

Answer:

994

Step-by-step explanation:

2(s+t)= 10

10^3= 1.000

1.000-6= 994

3 0
3 years ago
Other questions:
  • A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 stude
    14·1 answer
  • What identity can be used to rewrite the expression 27x^3-64?
    6·1 answer
  • WILL GIVE BRAINLIEST AND 5 RATING IF HELP!
    7·1 answer
  • At the beginning of spring McKenzie planted a small sunflower in her backyard when it first planted the sunflower was 10 inches
    6·1 answer
  • Diane purchased a prepaid phone card for $15. Long distance calls cost 17 cents a minute using this card. Diane used her card on
    8·1 answer
  • What's 3 ratios for 75/100
    15·2 answers
  • What is 5 decreased by x
    7·2 answers
  • The radius of the circle above is 36 mm. What is the circumference of the circle? (Use = 3.14.)
    5·1 answer
  • If you get paid $15 an hour and you work 50 hours a week how much money do u make in a year
    8·1 answer
  • A glass cube of side length 5cm has a mass of 306.25g.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!