Answer:
f(x) = 3x² - 15x + 12
Step-by-step explanation:
Given f(x) has roots x = a and x = b, then
(x - a) and (x - b) are the factors
f(x) is then the product of the factors
f(x) = a(x - a)(x - b) ← where a is a multiplier
Given roots are x = 4 and x = 1, then
(x - 4) and (x - 1) are the factors
With a = 3, then
f(x) = 3(x - 4)(x - 1) ← expand factors using FOIL
= 3(x² - 5x + 4) ← distribute
= 3x² - 15x + 12
Answer:
4x2+5x2-2x+8x=9x2+6x
Step-by-step explanation:
To solve the problem:
<span>Let f = distance one way distance on level
ground</span>
<span>
Let h = distance rode on the hill</span>
<span>
Write a time equation; where Time = distance/speed:</span>
<span>
level time + uphill time + downhill time + level time = 1hr</span>
<span>
</span>
<span>f/9 + h/6 + h/18 + f/9 = 1 hr</span>
<span>
Multiply equation by 18 to get rid of the denominators</span>
<span>
</span>
2f + 3h + h + 2f = 18
4f + 4h = 18
Simplify by dividing this by 4
<span>f + h = 4.5 miles is took her to get to Jon’s
house.</span>
Answer:
fraction of gallon is in each bottle.
Step-by-step explanation:
As per the given condition: G.O is going on a hike in the mountains on a hot summer day he has 4/5 gallon of water that he split into 4 bottles.
⇒ in 4 bottle he has gallon of water.
Unit rates defined as when are expressed as a quantity of 1, such as 3 feet per second or 4 miles per hour, then they are called unit rates.
By unit rate definition,
In 1 bottle he has = gallon of water.
therefore, the gallon in each bottle in fraction is,