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:
Step-by-step explanation:
Givens
Let the first piece be x
Let the second piece 4x
Let the third piece = 5x
Total length = 40 inches.
Equation
x + 4x + 5x = 40 Combine
Solution
10x = 40 Divide by 10
10x/10 = 40/10
x = 4
Answer
The smallest piece (x) = 4
The middle piece 4x = 4*4 = 16
The largest piece 5x= 5 * 4 = 20
The answer is -(3x+1)(x+5)
Answer:
Step-by-step explanation:
<u>Given</u>
- Total 17 marbles
- 4 - blue marbles
- 6 - green marbles
- 2 - red marbles
- The rest - yellow marbles
<u>Probability of drawing red first:</u>
- P(red) = number of red / total number = 2/17
<u>Probability of drawing green second, without replacement:</u>
- P(green) = number of green / number left in the bag = 6/16 = 3/8
<u>Probability of red and green in order:</u>
- P = P(red)*P(green) = 2/17*3/8 = 3/68
Answer:
1 adult cat
Step-by-step explanation:
<u>Thursday:</u>
The ratio of adult cat to kitten at a pet care center on Thursday was 4:3.
Number of adult cats = 4x
Number of kitten cats = 3x
There were 12 kittens, then
There were 16 adult cats
<u>Tuesday:</u>
17 adult cats were at the pet care center.
<u>Difference:</u>
adult cat
