Answer:
(5x² + 3) (2x-3)
Step-by-step explanation:
10x³ - 15x² + 6x - 9 (rearrange)
10x³+ 6x - 15x² - 9 (group using parentheses)
(10x³+ 6x) - (15x² + 9) (factor out 2x from first term and 3 from second term)
2x (5x²+ 3) - 3(5x² + 3) (factor out (5x²+3) )
(5x² + 3) (2x-3) (answer)
She would need to ride her bike more than 10.33 miles per day: x > 10.33
She has 62 miles left to ride for the week. To find the average per day, we just need to divide that amount by 6.
Dividing will give us 10 and one-third, or about 10.33.
The cat travels 0.7 times as far as the dog on each stride, but it takes 1.3 times as many strides in a given time interval. Hence the cat's distance relative to the dog's is 0.7*1.3 = 0.91. This is less distance than the 1 unit the dog covers in the same time.
The dog will win the race.
Answer:
5/2
Step-by-step explanation:
1000m = 1km
1.75km = 1750m
1750 / 700 = 5/2
6(-5n+7)=0
We simplify the equation to the form, which is simple to understand
6(-5n+7)=0
Reorder the terms in parentheses
+(-30n+42)=0
Remove unnecessary parentheses
-30n+42=0
We move all terms containing n to the left and all other terms to the right.
-30n=0-42
We simplify left and right side of the equation.
-30n=-42
We divide both sides of the equation by -30 to get n.
n=1.4
Hope this helps!