Answer:
14, 21, and 63
Step-by-step explanation:
we can set the three unknown numbers as x, y, and z
so
x + y + z =98
now we are given that the first (x) is seven less than the second (y)
x = y - 7
the third number (z) is three times the second (y)
z = 3y
since we have an equation for z and x in terms of y, we can plug it into the first equation and solve for y.
(y-7) + y + (3y) =98
y - 7 + y + 3y =98
y + y + 3y =105
5y = 105
y=21
now that we know y, we can plug its value into either the second or the third equation to find x or z (I chose to find z first)
z = 3y
z = 3(21)
z = 63
now we can plug in y to find x
x = y - 7
x = 21 - 7
x = 14
so the three numbers should be 14, 21, and 63
Answer:
A) slope = p/q
Step-by-step explanation:
Slope of any given can be found using the formula, 
.
In this case, using similar triangles, the rise over the run of any of the given similar triangles will give us the slope of line AB.
This means, slope of line AB would be:
.
✅Therefore, slope of line AB = p/q
a. If you double both sides, you'll get a rectangle with dimensions 20 feet wide and 30 feet long, therefore the area will be 20 × 30 = 600 feet².
b. The area of the old rectangle was 10 × 15 = 150 feet², so no the area is not twice as large, it is 4 times as large. This is because if the area is base × height, then doubling both of these gets you (2 × base) × (2 × height) = 4 × (base × height).
I hope this helps!
Answer:
so y = 3x - 3
since 3x + 6 is on the bottom,
so this means it should be the graph of y = 3x - 3, but with a hole at (-2, -9)
Answer:
The y-intercept for this equation makes no sense for this model.
Step-by-step explanation:
In this case, the explanatory variable x is the year when the observations were taken. So, the values are the integer numbers between (and including) 1975 and 1986.
The<em> y-intercept for the equation of the linear regression makes no sense for this prediction</em>, for it would correspond to the value x=0 (the year 0) is not consider in the range of the explanatory data.
