I.) (5x+3)/4-(2x-4)/3=5
Clear fractions:
3·((5x+3)/4)=15x+9
4·((2x-4)/3)=8x-16
15x+9-(8x-16)=5
15x+9-8x+16=5
Combine like terms:
7x+25=5
7x=-20
x=-20/7
II.) (3/11)·(5/6)-(9/12)·(4/3)+(5/13)·(6/15)
Remember PEMDAS
So first multiply:
3/11·5/6=15/66
9/12·4/3=3/3·1/1=3/3=1
5/13·6/15=1/13·6/3=6/39=2/13
(15/66)-1+(2/13)
Combine:
15/66-1/1=15/66-66/66=-51/66
-51/66+2/3=-51/66+44/66=-7/66
Answer: -7/66 :)
Step-by-step explanation:
you can simply multiply things out.
4/9 × y = 8/3
4y = 9×8/3 = 3×8 = 24
y = 6
or you could have transformed the right hand side into a fraction of the same denominator (9) :
8/3 = 8/3 × 3/3 = (8×3)/(3×3) = 24/9
4/9 × y = 24/9
that means 4y = 24
y = 6
Answer:
bruh finally
Step-by-step explanation:
Answer:
f(x) + 2 is translated 2 units up and -(1/2)*f(x) is reflected across x-axis.
Step-by-step explanation:
We have f(x) becomes f(x) + 2.
The y-intercept of f(x) is f(0), implies that y-intercept of f(x) + 2 is f(0) + 2. This means that the graph of f(x) is translated 2 units upwards.
Moreover, the region where f(x) increases will be the same region region where f(x) + 2 increases and there will not any change in the size of the figure.
Now, we have f(x) becomes -(1/2)*f(x).
The y-intercept of -(1/2)*f(x) is -(1/2)*f(0). This means that the graph is dilated by 1/2 units and then reflected across x-axis.
Moreover, the region where f(x) increases will be the opposite region region where -(1/2)*f(x) increases and the size of the figure will change as dilation of 1/2 is applied to f(x)
