Answer:
x=8
Step-by-step explanation:
If the value of x varies directly as the value of y we can say they are directly proportional. This implies that when y increases x will increase too, and when y decreases x will also decrease.
If x=16 when y=3/4 we can write their relation as:
x/y = 16/(3/4) = 16*(4/3) = 64/3
So, for every value of y, the ratio x/y must maintain equal to 64/3 because both values are proportional.
Now we can see what happens to x when y varies. If y=3/8:
x/(3/8) = 64/3
Multiply both sides by 3/8 to eliminate the 3/8 in the denominator.
x/(3/8) * (3/8) = (64/3) * (3/8)
See that we have a 3 multiplying and another dividing, we can eliminate them.
x = 64/8
x = 8
So, if y decreases to 3/8 x will decrease to 8. Notice that y is decreasing in a half as 3/8 is the half of 3/4, and x is also decreasing in a half from 16 to 8, what makes sense.
Answer:
a vertical shift of 6 units up
Step-by-step explanation:
We have the transformation:
g(x) = f(x) + k
This is what we call a vertical shift, this transformation moves the graph of f(x) k units, and the motion is upwards if k is positive, and downwards if k is negative.
Here we can see that the graph of f(x) intersects the y-axis at y = -2
While the graph of g(x) intersects the y-axis at y = 4.
Then the distance between these two points is:
4 - (-2) = 6
This means that the graph of g(x) is 6 units above the graph of f(x)
Then we have that k must be equal to 6, then the transformation is:
g(x) = f(x) + 6
This is a vertical shift of 6 units up.
9514 1404 393
Answer:
13
Step-by-step explanation:
4 m is 400 cm, so the number that can be cut is ...
(400 cm)/(30 cm/piece) = 13 1/2 pieces
13 pieces can be cut that are 30 cm long.
2 times 300 is 600
you welcum
Step-by-step explanation:
As, they all are consecutive and odd
The equation = x + (x + 2) + (x + 4) = 39
X represent the first number and also the smallest one
X + 2 is the 2nd number, it's consecutive and odd so we need to add 2
X + 4 is the 3rd number, it's consecutive and odd to (x+2) so we will just add 2 more = x + 2 +2 = x +4
So x + (x + 2) + (x + 4) = 39
3x + 6 = 39
3x = 39 - 6
3x = 33
x = 11
So smallest number = 11
And x + 2 = 11+2 = 13 (second number)
And x + 4 = 11 + 4 = 15 ( third number )
So only because u asked for the smallest
So it's 11
