Answer:
1: No
2: Yes
3: No
4: No
5: No
I hope this helps!
Step-by-step explanation:
Answer:
Equivalent Fractions with the LCD
7/8 = 231/264
10/11 = 240/264
2/3 = 176/264
Step-by-step explanation:
Solution:
Rewriting input as fractions if necessary:
7/8, 10/11, 2/3
For the denominators (8, 11, 3) the least common multiple (LCM) is 264.
LCM(8, 11, 3)
Therefore, the least common denominator (LCD) is 264.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
7/8 = 7/8 × 33/33 = 231/264
10/11 = 10/11 × 24/24 = 240/264
2/3 = 2/3 × 88/88 = 176/264
Kayla's dog weights more because 9 is a bigger number than 3. So if you subtract 9 - 3 you get 6. So Kayla's dog weights 6 more pound than Camilla's cat.
2a)
To verify, set the factors to zero.
(x - 2) = 0, x = 2
(x + 3) = 0, x = -3
Insert zero's in the equation:
<u>when x = 2</u>
3(2)³ + 2(2)² - 19(2) + 6 = 0
<u>when x = -3</u>
3(-3)³ + 2(-3)² - 19(-3) + 6 = 0
Hence verified the factors.
2b)
![= \sf \dfrac{\left(3x^3+2x^2-19x+6\right)}{\left(x-2\right)\left(x+3\right)}](https://tex.z-dn.net/?f=%3D%20%5Csf%20%5Cdfrac%7B%5Cleft%283x%5E3%2B2x%5E2-19x%2B6%5Cright%29%7D%7B%5Cleft%28x-2%5Cright%29%5Cleft%28x%2B3%5Cright%29%7D)
![\sf = \dfrac{\left(3x-1\right)\left(x-2\right)\left(x+3\right)}{\left(x-2\right)\left(x+3\right)}](https://tex.z-dn.net/?f=%5Csf%20%3D%20%5Cdfrac%7B%5Cleft%283x-1%5Cright%29%5Cleft%28x-2%5Cright%29%5Cleft%28x%2B3%5Cright%29%7D%7B%5Cleft%28x-2%5Cright%29%5Cleft%28x%2B3%5Cright%29%7D)
![\sf = 3x -1](https://tex.z-dn.net/?f=%5Csf%20%3D%203x%20-1)
The remaining factor is (3x - 1)
2c)
Set the factors to zero to find real zeros of f
2d)
<u>Complete factorization</u>: (3x - 1)(x - 2)(x + 3)
Answer:
7.5
Step-by-step explanation:
How long does it take a car to travel 1 mile if its average speed is 40 mph? The answer is 1/40 of an hour or 1.5 minutes. multiply this by 5