Correct Answer:
Option 3: <span>The quadratic function has two distinct real zeros.
The function is quadratic, therefore it can have only 2 zeros. The knowledge of x-intercepts is needed to determine the zeros, y-intercepts has nothing to do with the zeros of a function. The given function has 2 unique x-intercepts, so according to the fundamental theorem of algebra, this function has 2 distinct real roots as number of distinct real roots are equal to the number of x-intercepts. Therefore, option 3 is the correct answer. </span>
Answer:
m=-3/7
Step-by-step explanation:
(-4,2), (-3,5)
x1 y1 x2 y2
m=<u>y2-y1</u>
x2-x1
m=<u>5-2</u>
-3-4
m=<u>3</u>
-7
m=-3/7
Answer:
Step-by-step explanation:
<em>Vertical angles are equal as per definition.</em>
- ∠E and ∠F are vertical angles
- m∠E = 9x+12 and m∠F = 3x+24
- x = ?
<u>Solution</u>
- 9x+12 = 3x+24
- 9x - 3x = 24 - 12
- 6x = 12
- x = 2
*dot plot is shown in the attachment below
Answer:
Mean = 6.3
Median = 6
Step-by-step explanation:
Measures of centre, mean and median, can be calculated as follows:
First, bear in mind that each dot represents a value in the data set.
==>Mean:
Mean is the sum of all values in the data set divided by the number of data set we have.
The sum can be calculated as follows:
0 (1) = 0
4 (3) = 12
5(8) = 40
6(3) = 18
7(1) = 7
8(5) = 40
9(2) = 18
10 (3) = 30
Sum = 0+12+40+18+7+40+18+30 = 165
No of data set = 26
Mean = 165/26 = 6.346 ≈ 6.3 (nearest tenth place)
==>Median: this is the middle value in the data set. Since the number of data set is even number (26) , the middle value lies between the 13th and 14th data points. The average of the 13th and 14th data points will give us the median value.
Thus, the 13th and 14th values are both 6.
Therefore, median = (6+6) ÷ 2 = 6