Answer:

Step-by-step explanation:
Given the inequality

First, convert mixed numbers to improper fractions:

Now the inequality looks like

Multiply it by 6:

If you describe the graph as a V with its vertex point on (0,0), then you are either describing the graph of y = |x| or y = 3|x|. The only difference is that the coordinates of y=3|x| is multiplied thrice the coordinates of y=|x|. In other words, this graph is thrice wider than the y=|x|.
Furthermore, <span>y = -3|x| is a downward V, and
</span>x = |y| and <span>x = 3|y| looks like a V rotated side-ward,</span><span>
</span>
500,000
The nearest hundred thousand would be 500,000 and 600,000, but since 541,776 has 4 in next unit, it rounds down.
Answer:
When a Triangle is Dilated taking one of the vertices as the center of dilation
There are two Possibility, either Dilation factor will be (0<Dilation factor<1), or greater than 1.
1. When,0< Dilation Factor < 1
Size Of Preimage < Size of Image
2. When Dilation Factor > 1
Size Of Preimage > Size of Image
Step-by-step explanation:
Answer:
Step-by-step explanation:
a). Let the number of spoons = x
And number of forks = y
Total number of spoons and forks bought by Perry = 10
x + y = 10 --------(1)
Cost of one spoon = $5
Cost of one fork = $3
Therefore, total cost of x spoons and y forks = $(5x + 3y)
5x + 3y = 42 -------(2)
b). Now we can convert these equations into the slope-intercept form.
x + y = 10 ⇒ y = -x + 10
Table for input output values,
x 2 4 6
y 8 6 4
5x + 3y = 42
3y = -5x + 42
y = 
x 0 3 6
y 14 9 4
Point of intersection of these lines will be (6, 4).