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
What are the factors of 70, 86,154,238
Strike441 [17]
70 = 1 x 70, 2 x 35, 5 x 14, and 7 x 10. It is usually written as 1,2,5,7,10,14,35,70


86 = 1 x 86 or 2 x 43. It can be written as 1,2,43,86


154 = 1 x 154, 2 x 77, 7 x 22, 11 x 14. Can be written as 1,2,7,11,14,22,77,154


238 = 1 x 238, 2 x 119, 7 x 34, or 14 x 17. Can be written as 1,2,7,14,17,34,119,138
4 0
2 years ago
The points (5, -16) and (8, r) lie on a line with slope 4. Find the missing coordinate r.
Anika [276]

Answer:

-4

Step-by-step explanation:

8-5= 3

x/3= 4

12/3=4

-16+12=-4

6 0
2 years ago
The heights of a group of sixth graders' are summarized below. If another sixth grader were to be measured, what would be a good
olga nikolaevna [1]

Using the mean, median and mode we can assume that a good prediction for her height would be 55 inches.

In the given data ,

Range of the data is 10. So all the values are between 50 and 60.

mode of the data is 57 , and the mean is 55 and the median is 55

Therefore a random 6th grader can have any value between 50 and 60 since it is the range.

Now the mean and median of the function will be closest to a random value.

Hence of all the options 55 is the most efficient explanation of the central tendency of the dataset .

When the probability density function contains a large number of local maxima, the edge points of a continuous distribution are frequently referred to as the distribution's modes.

Any x value that causes the density function probability of a variate to reach a locally maximum value is often thought of as a mode, making any peak a mode.

The median is the value that divides the top and bottom halves of a large dataset, a demographic, or a probability distribution in statistics and probability theory.

Hence of all the options 55 is the most efficient explanation of the central tendency of the dataset .

To learn more about mode visit:

brainly.com/question/300591

#SPJ9

3 0
10 months ago
Is the fraction 1/3 equivalent to a terminating decimal or a decimal that does not terminate?
bezimeni [28]
It is a decimal that does not terminate. 1/3 is equivalent to .3333333333 and so on. it never ends
4 0
3 years ago
I need help with this problemmmm.
AlladinOne [14]

Answer:

x = 1 1/6, x = 1.16

There you go! :D

3 0
3 years ago
Read 2 more answers
Other questions:
  • Becca's dog-walking business started with 1 dog. By the end of the first month , she was walking 2 additional dogs per month . T
    7·1 answer
  • Need help I don't get it. Which point is an exact solution to the system y = -6(0.75)^x and y = 4(x - 1)?
    13·1 answer
  • What effect does nuclear radiation have on atoms?
    13·2 answers
  • 20% of what number is 18​
    7·2 answers
  • Helppppppppppppppppppppppppppppppppppp
    14·1 answer
  • Given that the triangles are similar, find the value of x. Find the length of NR.
    6·1 answer
  • 2. The measure of an exterior angle of a regular polygon is 60. How many sides does the polygon have?
    10·1 answer
  • Ten more than three times a number n is forty. How do you write this as an equation, plz i need help.
    15·1 answer
  • What the scale factor of 3.7
    15·1 answer
  • The area of a rectangle is 27cm squared
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!