<span>5c + cd
=</span><span>5(1/5) + (1/5)(15)
= 1 + 3
= 4</span>
Yes, (2,5) is a solution to the equations
Answer:
2.4274
Step-by-step explanation:
This is just a simple multiplication problem.
One way to do this is by converting both decimals into fractions:
1.06 = 1 + 0.06 = 1 + 6/100 = 1 + 3/50 = 53/50
2.29 = 2 + 0.29 = 2 + 29/100 = 229/100
Multiplying these two fractions, we get:
Now, we can just convert this into a decimal by using a calculator:
12137/5000 = 2.4274, which is our answer.
Of course, you could just put the numbers in a calculator, which would be much less time-consuming.
Answer:
x = 30 and y = -34
Step-by-step explanation:
Given the following functions
(1/4)^(x+y) = 256... 1
log₄(x-y) = 3.... 2
From equation 2;
x-y = 4³
x-y = 64
x = 64 + y ... 3
Substitutw 3 into 1
From 1:
(1/4)^(x+y) = 256
(1/4)^(64+y+y) = 256
(1/4)^(64+2y) = 256
Take log₄ of both sides
64+2y log₄ (1/4) = log₄256
-(64+2y) = 4log₄4
-(64+2y) = 4
64+2y = -4
2y = -4 - 64
2y = -68
y = -34
Since
x = 64 + y .
x = 64 - 34
x = 30
Hence x = 30 and y = -34
7x - y= -5. Standard form is when it is written with x and y on the same side, but x is not negative or a fraction. To find the slope and y intercept, you must change the first two equations to slope intercept. You get y=7x-5 for the first one and y=11/3x+5 for the seccond equation. Take the 5 as your y intercept and the 7 as your slope and you get y=7x+5. Now you need to change it into standard form. When all is said and done, your final answer should be 7x - y = -5.
