Answer:
Explanation: the ratio 2:4 can be reduced to 1:2, where the number of girls corresponds to the 1 and the number of boys corresponds to the 2. If there are 14 girls, then there must be 28 boys (14 x 2 = 28). Now to get the total number we need to add the total number of boys and girls together. So 14 + 28 = 42
Step-by-step explanation:
Plug in 6 for x and solve out for f(x)
Answer:
R = 17
Step-by-step explanation:
R = 2q - 5
Q = 3p + 2
Find the numerical value of R when p = 3
R = 2q - 5
R = 2(3p + 2) - 5
R = 6p + 4 - 5
R = 6p - 1
When p = 3
R = 6(3) - 1
R = 18 - 1
R = 17
9514 1404 393
Answer:
y -2 = 2(x -2)
Step-by-step explanation:
The slope of the line is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (4 -2)/(3 -2) = 2/1 = 2
The point-slope form of the equation for the line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
For the first point and the slope we found, the equation is ...
y -2 = 2(x -2)
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You can rearrange this to any form you may like.
y -2 = 2x -4 . . . eliminate parentheses
y = 2x -2 . . . . . slope-intercept form
2x -y = 2 . . . . . standard form
First write the equation in slope-intercept form which is more commonly known as <em>y = mx + b</em> form where the <em>m </em>or the coefficient of the x term represents the slope of the <em>b</em> or the constant term represents the y-intercept.
Subtract 2x from both sides to get <em>y = -2x - 4</em>.
I put the x term first because that's how it is in y = mx + b form.
Now we can see that the <em>b</em> or the constant term is -4.
We can write this as the ordered pair (0, -4).
Keep in mind when writing a y-intercept as an ordered pair, your x-coordinate will always be 0 in the ordered pair.
