f(x) = 7x² - 3x + 1
g(x) = 3x - 2
1. g(0) This means that x is 0, so you can plug in 0 for x in the equation:
g(x) = 3x - 2
g(0) = 3(0) - 2
g(0) = -2
2. g(1) x is 1
g(x) = 3x - 2
g(1) = 3(1) - 2
g(1) = 3 - 2
g(1) = 1
3. f(1) x is 1
f(x) = 7x²- 3x + 1
f(1) = 7(1)² - 3(1) + 1
f(1) = 7 - 3 + 1
f(1) = 5
4. f(x) = 7x²- 3x + 1
f(-2) = 7(-2)²- 3(-2) + 1
f(-2) = 7(4) + 6 + 1
f(-2) = 28 + 7
f(-2) = 35
Answer:
AM=1 false
BM= ½ true
AM=½ false
BM= √3/2 false
AM= ✓3/2 true
BM=1 false
Step-by-step explanation:
Since the triangle is equilateral it means that all sides are of the same length. So AB=1, BC=1, AC=1
AM=1 false because the formula to calculate the height of the equilateral triangle having the side is H=√3/2L = AM=√3/2
BM= ½ true because BC=1 so BM (half)=0,5=½
AM=1 false because the formula to calculate the height of the equilateral triangle having the side is H=√3/2L = AM=√3/2
BM= √3/2 false because it's ½
AM= ✓3/2 true because the formula to calculate the height of the equilateral triangle having the side is H=√3/2L = AM=√3/2
BM=1 false because BM= ½
<u>Answer- </u>Wendy spent 3 hours on the train
<u>Solution-</u>
The distance between the cities= 500 mi.
She traveled part of the way by bus, and other part by train.
The bus averaged 40 mph, and the train averaged 120 mph.
The entire trip took 6.5 hours.
let d = distance traveled by train
the total distance was given as 500 mi ,
therefore, distance traveled by bus = (500-d) mi
time = distance/speed
⇒ train traveling time + bus traveling time = 6.5 hrs
⇒
⇒ d + 3(500-d) = 120(6.5)
⇒ d + 1500 - 3d = 780
⇒ 2d = 720
⇒ d = 360 mi
so d = 360 mi by train
⇒ 360/120 = 3 hrs on the train