Answer:
Answer:
Graph C shows the solution for the inequality
Step-by-step explanation:
y - 4 > 2(x + 2)
y > 2x + 4 + 4
y > 2x + 8
Let y = 2x + 8, Then
X-intercept (0, 8)
Y-intercept (-4, 0)
Since the inequality sign is > we use broken line.
Put, (0, 0)
y > 2x + 8
0 > 0+ 8
0 > 8 Which is false
so, the answer will be above the broken line
Hence , Graph C shows inequality
#SPJ1
The formula for area in terms of radius is
... A = πr²
Solving this for r, we get
... A/π = r²
... r = √(A/π) . . . . . formula for the radius
For your given area, the radius is approximately
... r = √(401.92/3.14) = √128 = 8√2
... r ≈ 11.3 . . . yards
Answer:
<u>There were 12 gold coins in the chest at the start.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
x = Number of gold coins in a chest
1/2x = Number of gold coins taken by the captain
1/4x = Number of gold coins taken by Sally
3 = Number of gold coins left
2. How many coins were in the chest at the start?
Let's write the following equation to solve for x:
1/2x + 1/4x + 3 = x
2x + x + 12 = 4x (Lowest Common Denominator is 4)
4x - 2x - x = 12 (Like terms)
x = 12
<u>There were 12 gold coins in the chest at the start.</u>
Answer:
y = -x + 9
Step-by-step explanation:
✔️Find the slope using (9, 0) and (7, 2):

Slope (m) = -1
✔️Find the y-intercept (b):
The line intercepts the y-axis when y = 9. Therefore, y-intercept (b) = 9
✔️Substitute m = -1 and b = 9 into y = mx + b
Thus,
y = -1(x) + 9
y = -x + 9