F(x) = 3(x - 5)(x + 2), then f(5) = and f(-2) =
1 answer:
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Answer:
Mrs. Allan's Car will use <u>20 gallons</u> of gas for 560 miles trip.
Mrs. Owen's Car will use <u>16 gallons</u> of gas for 560 miles trip.
Step-by-step explanation:
Given:
Number of Miles for Mrs Allan car = 224 miles
Number of gallons of gas required = 8
We need to find the number of gallons of gas required for 560 miles for Mrs. Allan's car.
First we will find, in 1 gallons how many miles does Mrs Allan's Car drives.
For 8 gallons = 224 miles
So for 1 gallons = Number of miles in 1 gallon of gas
By using Unitary method we get;
Number of miles in 1 gallon of gas =
Now we know that;
for 28 miles = 1 gallon of gas is required.
So for 560 miles = Number of gallon of gas required in 560 miles.
Again by using Unitary method we get;
Number of gallon of gas required in 560 miles =
Hence Mrs. Allan's Car will use <u>20 gallons</u> of gas for 560 miles trip.
Also Given:
Number of Miles for Mrs Owen's car = 210 miles
Number of gallons of gas required = 6
We need to find the number of gallons of gas required for 560 miles for Mrs. Owen's car.
First we will find, in 1 gallons how many miles does Mrs Owen's Car drives.
For 6 gallons = 210 miles
So for 1 gallons = Number of miles in 1 gallon of gas
By using Unitary method we get;
Number of miles in 1 gallon of gas =
Now we know that;
for 35 miles = 1 gallon of gas is required.
So for 560 miles = Number of gallon of gas required in 560 miles.
Again by using Unitary method we get;
Number of gallon of gas required in 560 miles =
Hence Mrs. Owen's Car will use <u>16 gallons</u> of gas for 560 miles trip.
Answer:
x = - 6
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 9 when x = 3, thus
k = =
= - 3
y = - 3x ← equation of variation
When y = 18, then
18 = - 3x ( divide both sides by - 3 )
x = - 6
1. 
2. -2+5n or 5n-2
3. (12s)+150 where s=number of students
4. 3(32)+1(53)=96+53=159 per hour, so 159h
9. √105 is irrational, -4 is an integer, 4/3 is a rational number, order is -4,3/4, √105
10. 3²=9, 4²=16, so between 3 and 4, but closer to 4, so √14≈4
11. that is the associative property, it deals with moving parentahees around
12. 2(6.25)+1(5.50)+2(2.75)=2(6.25+2.75)+1(5.50)=2(9)+5.5=18+5.5=23.5
13. yes, because they are both 2 less than 3 times of a number
14. maybe 18 times 3, so (4²+2) times 3=54
2. -2+5n or 5n-2
3. (12s)+150 where s=number of students
4. 3(32)+1(53)=96+53=159 per hour, so 159h
9. √105 is irrational, -4 is an integer, 4/3 is a rational number, order is -4,3/4, √105
10. 3²=9, 4²=16, so between 3 and 4, but closer to 4, so √14≈4
11. that is the associative property, it deals with moving parentahees around
12. 2(6.25)+1(5.50)+2(2.75)=2(6.25+2.75)+1(5.50)=2(9)+5.5=18+5.5=23.5
13. yes, because they are both 2 less than 3 times of a number
14. maybe 18 times 3, so (4²+2) times 3=54