Answer:
The Pretty Pizza Company should open a new pizza place on the south area.
Step-by-step explanation:
The population of 15 blocks of the north side of town is 225 people per block, and there are already 36 pizza places in the area.
15*225 = 3375 people
36 pizza places
36/3375 = 0.0106 > 0.1
So not on the north side of the town.
The population of 22 blocks of the south area is 275 people per block, and there are 37 pizza places in the area.
22*275 = 6050 people
37 pizza places
37/6050 = 0.006 < 0.1
So, the Pretty Pizza Company should open a new pizza place on the south area.
The third choice is the correct one.
draw a line from the starting point on the hill to the finishing point, suppose the angel formed by this new line and the slope of the hill is x
sinx/150=sin27.4/200
sinx=(150*sin27.4)/200
x=sin-1[(150*sin27.4)/200]
the angle formed by the slope of the hill and the horizontal line is the sum of x and 27.4
Answer:
f(2) = 3
f(5/2) = 5
f(½) = -3
Step-by-step explanation:
Given the linear function f(x) = 4x - 5:
<h3>f(x) = 3</h3>
3 = 4x - 5
3 + 5 = 4x - 5 + 5
8 = 4x
8/4 = 4x/4
2 = x
Therefore, when f(x) = 3, x = 2.
<h3>f(x) = 5</h3>
5 = 4x - 5
5 + 5 = 4x - 5 + 5
10 = 4x
10/4 = 4x/4
5/2 = x
Therefore, when f(x) = 5, x = 5/2.
<h3>f(x) = -3</h3>
-3 = 4x - 5
-3 + 5 = 4x - 5 + 5
2 = 4x
2/4 = 4x/4
½ = x
Therefore, when f(x) = -3, x = ½.
Answer:
y = -2.5 x + 6.5
Step-by-step explanation:
The equation of a line in slope-intercept form is written as
y = mx + b where m is the slope and b is the y-intercept.
a) We can find the slope of the line passing through (-1,30 and (-4, 5) by subtracting the y coordinates and dividing the difference by the difference if the x coordinates:
m = (5 - 3 ) = 2
-4 - (-1) -3
Now use this slope and substitute the coordinates of either of the given points to find the y-intercept, b . Let's use (-1,3):
y = mx + b
3 = -2 • -1 + b
3
3= 2 + b
3
7 = b
3
The equation of the line will be y = -2 x + 7
3 3
b) Using y = mx + b, we can substitute -2.5 for the slope and use the point to find the y-intercept:
y = -2.5x + b
1.5 = -2.5 • 2 + b
1.5 = -5 + b
6.5 = b
The equation of the line will be:
y = -2.5 x + 6.5
