Answer:
thats a statement
Step-by-step explanation:
Answer:
- 6. See solution
- 7. k = 2, k = -6
Step-by-step explanation:
6.
<u>Given equation:</u>
- The sum of the roots is q1 and the product of the roots is q2
Need to show that q1+q2 = 0
<h3>Solution</h3>
<u>Bringing the equation into standard form of ax² + bx + c = 0:</u>
- 2(x + 2)² + p(x + 1) = 0
- 2x² + 8x + 8 + px + p = 0
- 2x² + (p + 8)x + (p + 8) = 0
<u>Sum of the roots: </u>
<u>Product of the roots:</u>
<u>We see that q1 and q2 are opposite numbers, therefore their sum equals zero:</u>
- q1 + q2 = -(p + 8)/2 + (p + 8)/2 = 0
=============================================
7.
<u>Given quadratic equation:</u>
Need to find the possible values of k
<h3>Solution</h3>
<u>When the quadratic equation has equal roots, then its discriminant is equal to zero:</u>
- D = 0
- √b² - 4ac = 0
- √(-k -2)² - 4*1*4 = 0
- √k² + 4k + 4 - 16 = 0
- √k² + 4k - 12 = 0
- k² + 4k - 12 = 0
- k = {-4 ± √4² -4*1*(-12)}/2
- k = (-4 ± √16 + 48)/2
- k = (-4±√64)/2
- k = -2 ± 4
- k = 2, k = -6
Answer:
117 degrees
Step-by-step explanation:
So we already know that one angle is 38 degrees, so we have that one. The angle, 101 is exterior, and we have to subtract 180 from that to get the interior angle. We get a difference of 79. Since the sum of a triangle's interior angles are 180, we have to add 38+79 to get 117. Then, we have to subtract it from 180 to get the value of the interior angle as 63 degrees. Because x is on the outside, we have to again subtract 63 from 180 to get the missing value of x as 117.
Answer:
2/27
Step-by-step explanation:
Step one:
given data
Sample space
2 red sections,
3 blue sections, and
4 green sections
Sample size
2+3+4= 9
Required
The probability of Basha spinning a red on her first spin and a blue on her second spin
Step two:
On the first spin, spinning a red= 2/9
On the second spini, spinning a blue= 3/9= 1/3
Hence, The probability of Basha spinning a red on her first spin and a blue on her second spin= 2/9*1/3= 2/27
Answer:
(C)Stefano should have divided by 6 when finding the mean absolute deviation.
Step-by-step explanation:
Step 1: Find the mean.
Step 2: Find each absolute deviation.
10, 18, 10, 18, 2, 2
Step 3: Find the mean absolute deviation.
However, there are 6 values in the data. Stefano should have divided by 6 when finding the mean absolute deviation.
The correct mean absolute deviation is therefore:
