Answer:
x=-1.5
Step-by-step explanation:
Answer:
The x coordinate would be 4.
Step-by-step explanation:
In order to find this, we'll make the y terms cancel. To do this, we need to multiply the whole second term by -1 and then add them together.
3x + 5y = 10
-x - 5y = -2
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2x = 8
Now that we have this, we can divide to get the answer.
2x = 8
x = 4
List the first few prime numbers.
2, 3, 5, 7, 11, 13, ...
We want the product of the three lowest prime numbers to form the least whole number.
2*3*5 = 30
This the least whole number.
Answer:
The number is 30.
It factors into 2, 3 and 5.
Answer:
12m + 12 is one equivalent expression
Step-by-step explanation:
This can be found by distributing the numbers as shown below:
6(m + 2 + m)
6m + 12 + 6m
12m + 12
Answer: The first one is "translated 4 units down". The second one is "vertically stretched by a factor of 4".
Recall that y = f(x). When we say f(x)-4, we really mean y-4 so that means each y coordinate of all the points on the graph have been reduced by 4. Visually this shifts the graph down 4 units. A translation in geometry is the technical term for shifting.
When we say 4*f(x), we are multiplying each y coordinate by 4. A point like (1,2) turns into (1,8) for instance. If you apply this to every point on the graph, then the curve is stretched vertically to be 4 times taller than it usually is; which is an informal way of saying "vertically stretched by a factor of 4"
