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bulgar [2K]
2 years ago
6

f(x)=−7x 2 +8x+2f, left parenthesis, x, right parenthesis, equals, minus, 7, x, squared, plus, 8, x, plus, 2 What is the value o

f the discriminant of fff? How many xxx-intercepts does the graph of fff have?
Mathematics
1 answer:
vlada-n [284]2 years ago
8 0

The discriminant of the function is 120, and the function has 2 different x-intercepts

<h3>How to determine the discriminant?</h3>

The function is given as:

f(x) = -7x^2 + 8x + 2

The discriminant (d) is calculated using:

D =b^2 - 4ac

So, we have:

D = 8^2 - 4 * (-7) * 2

Evaluate

D = 120

Because the value of D is greater than 0, then the function has 2 different x-intercepts

Read more about quadratic functions at:

brainly.com/question/1214333

#SPJ1

You might be interested in
The median of a data set 8, 21, 17, and 13 is 15. If 17 is changed to 18, what will be the new median? a. 15.5 c. 50 b. 17.5 d.
lubasha [3.4K]

Answer:

Option A) 15.5 is correct

The new median for the new data set is 15.5

Step-by-step explanation:

Given data set is 8,21,17,13

To find the median :

First order the given set of data into least to greatest

The ordered set is 8,13,17,21

Since the given set of data is even

We can take midvalues of data in the set

Median is the mean of two middle values in the data set

Median=\frac{13+17}{2}

=\frac{30}{2}

=15

Therefore Median=15 ( given )

Given that if 17 is changed to 18 then the given set of data  8,21,17,13 is changed into new set  8,21,18,13

To find the median :

First order the new set of data into least to greatest

The ordered set is 8,13,18,21

Since the given set of data is even

We can take two midvalues of new data in the set

Median is the mean of two middle values in the data set

Median=\frac{13+18}{2}

=\frac{31}{2}

=15.5

Therefore New Median=15.5

Therefore option A) 15.5 is correct

The new median for the new data set is 15.5

5 0
3 years ago
4 1/4 divided by 2/7<br><br> (x+8)-(3x- 5)<br><br> Explain how you got the answer!!!!!
Dmitry_Shevchenko [17]

Turn it to improper fractions.

4 1/4 divided by 2/7

Divide them.

17/4 divided by 2/7

17      2     17 x 7

--- ÷  --- = --------- = 119/8 OR 14 7/8

4       7      4 x 2

-----------------------------------------------------

Distribute to take out the parentheses.

(x + 8) - (-3x - 5)

Combine like terms.

x + 8 + 3x + 5

Answer.

4x + 13

8 0
3 years ago
In Example 3, the track has 6 lanes that are each 1 meter in width. a. What is the outer perimeter of the track? Round your answ
son4ous [18]

Answer:

Incomplete question, check attachment for the necessary diagram

Step-by-step explanation:

Note in the attachment,

We have two identical straight line of lenght

L1 = L2 = 84.39m

We also have two identical semicircle or radius 36.5m to the first track lane

But this is not the radius of the circle, the radius of the circle will now be 36.5 plus the 6 track lane and we are told that one track lane is 1m, then, the track lane is 6m

So, radius = 36.5+6

r = 42.5m

Then, we need to calculate the perimeter of the semicircle using the formula of perimeter of a circle and dividing by2

P = 2πr/2

P =πr

P = 22/7 × 42.5

P = 133.57 m

Then, the arc 1 is equal to arc 2 which is equal to 133.57 m

A1 = A2 = 133.57 m

Now we have all the dimensions,

Then, the perimeter can be calculated by adding the length of the sides

The perimeter of the field = Lenght of the two straight lines plus the length of the two semicircle arc

P = L1 + L2 + A1 + A2

P = 84.39 + 84.39 + 133.57 + 133.57

P =435.923 m

So, to the nearest meter

P ≈ 436m

The perimeter of the track is 436m

5 0
3 years ago
Different problem same topic please help
BlackZzzverrR [31]

Answer:

see below

Step-by-step explanation:

y = 5x - 31

y = mx + b

where m = slope

slope of a parallel line = 5

slope of a perpendicular line = - 1/5

7 0
3 years ago
1. Convert 36 inches into feet. A. 3.5 ft B. B. 3 ft C. 2.5 ft D. 2 ft​
deff fn [24]
The answer is Option B , the solution is 3
6 0
3 years ago
Read 2 more answers
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