Answer:
1/3
Step-by-step explanation:
Take the second term and divide by the first
9/27 = 1/3
Take the third term and divide by the second
3/9 = 1/3
Check each subsequent ratio, we can see the common ratio is 1/3
Based on the distance travelled and the time taken, the speed of the train was <u>150 km/h</u>
Speed can be calculated by the formula:
<em>= Distance / Time </em>
Distance = 600 km
Time = 4 hours
Solving will give:
= 600 / 4
= 150 km/ h
In conclusion, the train was going at 150 km/h
<em>Find out more on speed at brainly.com/question/3004254</em>
y=total amount of money
x=# of toppings
At JOES PIZZA
Large cheese- $0.25 per topping + base fee of $10
equation- y=0.25x+10
At SAMS PIZZA
Large Cheese- $0.50 per topping + base fee of $8
equation- y=0.5x+8
SYSTEM OF EQUATIONS
y=0.25x+10
y=0.5x+8
lets try 8 toppings first
y=0.25(8)+10
y=2+10
y=12
y=0.5(8)+10
y=4+10
y=14
8 does not work
lets try 1.5 topppings next
y=0.25(1.5)+10
y=0.375+10
y=10.375
y=0.5(1.5)+8
y=0.75+8
y=8.75
1.5 does not work
lets try 4 toppings next
y=0.25(4)+10
y=1+10
y=11
y=0.5(4)+8
y=2+8
y=10
4 does not work
finally 12 must work
y=0.25(12)+8
y=3+8
y=11
y=0.5(12)+8
y=6+8
y=14
we got y=11 for the first equation with 12 toppings y=11 for the first equation with 4 toppings
12+4=18
12 toppings at joes and 4 at sams i believe
Answer:
first option
Step-by-step explanation:
If ( x + h) is a factor of f(x) then f(- h) = 0 , then
If (x + 1) is a factor of f(x) then f(- 1) = 0
f(- 1) = 7 - 5(- 1)³ - 10(- 1)² + 2(- 1)
= 7(1) - 5(- 1) - 10(1) - 2
= 7 + 5 - 10 - 2
= 12 - 12
= 0
Since f(- 1) = 0 then (x + 1) is a factor of f(x)
Answer:
y=-4x-2
Step-by-step explanation: