Answer:
<h2>8. slope = 2</h2><h2>9. y-intercept = -3</h2><h2>10. in the attachment</h2>
Step-by-step explanation:
The slope-intercept form y = mx + b
m - slope
b - y-intercept → (0, b)
We have the equation
y - 2x = -3 <em>add 2x to both sides</em>
y = 2x - 3
slope m = 2
y-intercept b = -3
We need two points to draw a graph of this linear function.
One is y-intercept (0, -3). The second one is calculated by choosing any value of x and put it to the equation:
for x = 2 → y = 2(2) - 3 = 4 - 3 = 1 → (2, 1).
Answer:
1.5
Step-by-step explanation:
You divide and stuff. Then you subtract 3.5 from 5 to get 1.5 and bam answer.
Answer:
Step-by-step explanation:
Answer:
No
Explanation:
The distance between the two points on the ground = 43km
First, we calculate the distance between the two points in meters.
• 43km = 43,000 m.
Next, determine the distance it will take using the scale.
The distance between the points using the scale is 1.72m.
Next, we see that the dimensions (1.32 m by 0.85 m) are smaller than the length.
As a final check, calculate the length of the diagonal of the map. The diagonal is usually the longest part.
![\text{Diagonal}=\sqrt[]{1.32^2+0.85^2}=1.57m](https://tex.z-dn.net/?f=%5Ctext%7BDiagonal%7D%3D%5Csqrt%5B%5D%7B1.32%5E2%2B0.85%5E2%7D%3D1.57m)
Since 1.57m is still less than 1.72m, the two points cannot be placed on the map.
Answer:
15. (8x^3 + 27)(x + 1)
17. (x^2 + 3)(x + 2)
Step-by-step explanation:
8x^3(x + 1) + 27(x + 1)
x^2(x + 2) + 3(x + 2)
