All categories

2 years ago

How many real roots does the function

Mathematics

1 answer:

icang [17]2 years ago

6 0

Answer:

Option C is correct i.e. 2.

Step-by-step explanation:

Given the function is f(x) = x² +8x -2.

We can compare it with general quadratic expression i.e. ax² +bx +c.

Then a = 1, b = 8, c = -2.

We can find the number of real root by finding discriminant of the equation ax² +bx +c =0 as follows:-

D = b² -4ac

D = 8² -4*1*-2

D = 64 +8

D = 72.

When D is a positive value, then we have two real roots of the equation.

Hence, option C is correct i.e. 2.

You might be interested in

Last week, Clay wrote 4 checks for $20 each from his checking account and

Sidana [21]

Answer:

Step-by-step explanation:

clay will have

-80+96=16 dollars

the change in balance is +16

5 0

3 years ago

Last night, the two dinner specials at Henry's favorite restaurant were salmon filet and steak. The restaurant served 55 special

sergeinik [125]

Since 11 out of 55 specials were salmon filet,

The percentage of specials that were salmon filet is 11/55 = 20/100 = 20%.

7 0

3 years ago

Read 2 more answers

Solve the following equations using any method. Show your work and check your

Gemiola [76]

a) The solution for the equation 2x + 16 = 5x + 4 is x=4.

b) The solution for the equation 3x − 5 = 2x + 14 is x=19.

c) The solution for the equation 5x − 5 = x + 15 is x=5.

Step-by-step explanation:

a) The given equation is 2x + 16 = 5x + 4

From the above equation, it can be found that the equation consists of x terms and constant terms.
Therefore, bring all the x terms on one side and the constant terms on other side of the equation.
This gives the simplified form of the equation to solve for x value.

⇒ 16-4 = 5x-2x

⇒ 12 = 3x

⇒ x = 12/3

⇒ x = 4

The solution for the given equation is x=4.

To check, substitute x=4 in the equation :

2(4) + 16 = 5(4) + 4

8+16 = 20+4

24 = 24

Therefore, the solution x=4 satisfies the equation 2x + 16 = 5x + 4

Similarly,

b) The given equation is 3x − 5 = 2x + 14

⇒ 3x-2x = 14+5

⇒ x = 19

The solution for the given equation is x=19.

To check, substitute x=19 in the equation :

3(19) - 5 = 2(19) + 14

57-16 = 38+14

52 = 52

Therefore, the solution x=19 satisfies the equation 3x − 5 = 2x + 14

Similarly,

c) The given equation is 5x − 5 = x + 15

⇒ 5x-x = 15+5

⇒ 4x = 20

⇒ x = 20/4

⇒ x = 5

The solution for the given equation is x=5.

To check, substitute x=5 in the equation :

5(5) - 5 = 5 + 15

25-5 = 20

20 = 20

Therefore, the solution x=5 satisfies the equation 5x − 5 = x + 15

5 0

3 years ago

HELP EMERGENCY!!!!!! What is the equation of the line? Y=3x-1 Y=-3x Y=3x+1 Y=3x

ch4aika [34]

<h2>Answer:</h2>

By process of elimination, we can eliminate:

A: y = 3x - 1
C: y = 3x + 1
B: y = -3x

A and C don't work because the given line has it's y-intercept at the origin, therefore, no y-intercept is written. B is not it either because the line does not go down from left to right, therefore, the slope is not negative.

The answer is D: y = 3x because since the line goes up from left to right, the slope is positive, and the y-intercept is the origin, so the equation will have no b.

7 0

2 years ago

Ms. McClain conducted an experiment

joja [24]

Answer: 1

Step-by-step explanation:

Experimental probability is the actual result you get from an experement.

Theoretical probability is the change that you will get that result.

(for example: flipping a coin, the Theoretical probability is 50/50 but after testing the Experimental probability might be 47/53)

therefore,

1/6 is the Theoretical probability because you are using a six-sided number cube.

for the Theoretical probability and the Experimental probability to be the same, the fraction of the roll must equal 1/6.

1/6 equals 8/48.

therefore, since the numbers 1 and 6 were both rolled 8 times out of 48 they are consistant with the Theoretical probability of 1/6.

6 is not one of the answer choices listed so 1 must be your answer.

8 0

3 years ago