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<span>The multiples of 6. Answer : 6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96,102,108,114,120,126,132,138,144,150,156,1</span>
Answer:
Yes, this graph is absolutely right for the function y =
.
Step-by-step explanation:
firstly we will calculate amplitude, period, phase shift, and vertical shift.
Use the standard form
to calculate the values of amplitude, period, phase shift, vertical shift.
here a = 2
b = 2
c = 0
d = -3
Amplitude = |a| = 2
period =
=
= 
phase shift =
= 0
and vertical shift = d = -3
so, by using this information, if we plot the graph then the graph obtained will be same as the given graph.
They are corresponding angles. Corresponding angles have equal measures.
Answer:
First brand of antifreeze: 21 gallons
Second brand of antifreeze: 9 gallons
Step-by-step explanation:
Let's call A the amount of first brand of antifreeze. 20% pure antifreeze
Let's call B the amount of second brand of antifreeze. 70% pure antifreeze
The resulting mixture should have 35% pure antifreeze, and 30 gallons.
Then we know that the total amount of mixture will be:

Then the total amount of pure antifreeze in the mixture will be:


Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.7 and add it to the second equation:



+

--------------------------------------



We substitute the value of A into one of the two equations and solve for B.

