Answer:
y < 1/2x - 3
Step-by-step explanation:
You can write the inequality equation for the graph using the form y = mx + b. The inequality line has a y-intercept at (0,-3). This means b = -3. It also has a slope of 1/2 since the line moves up 1 and over 2 to the next point on the line.
This means the lines equation is y = 1/2x - 3. But since this is an inequality, you must use an inequality sign. Since the line is dashed it is not equal to. Your options are < and >. Use the point (0,0) to test which sign is appropriate.
y < 1/2x - 3 y > 1/2x - 3
0 < 1/2(0) - 3 0 > 1/2(0) - 3
0 < -3 0 > -3
The answer is y < 1/2x - 3 since (0,0) doesn't make it true and (0,0) is not shaded in the graph. This means it is not a solution.
Answer:
Since we are doing division the correct answer would be :
18
108 divided by 6 = 18
Hope this helps! :)
To divide like bases just subtract the exponents
answer is 2^(13-3) or 2^10 or 1024
Answer:
960
Step-by-step explanation:
We start with the variable "x". Let's call "x" Raina's penny bank.
After adding 360 pennies, at the end, she has 5/8x, or 5/8.
So we start with
(1/4)x + 360 = 5/8x
Let's subtract 1/4x from both sides
360 = 5/8x - 1/4x
Remember, we need to use common denominators to subtract, so 1/4 becomes 2/8
360 = 5/8x - 2/8x
Now we simplify to get
360=3/8x
Multiply the reciprocal of 3/8 to both sides which is 8/3
360 * 8/3 = x
Answer is 960 pennies.
Therefore Raina's bank hold 960 pennies.
Answer:
-4 and 4
Step-by-step explanation:
<u>Method 1</u>
Apply Difference of Two Squares Formula: 
Given 
Rewrite 16 as 4²
Therefore, 
and 
<u>Method 2</u>
Given equation:
Add 16 to both sides:
Square root both sides:
Therefore, x = -4, x = 4
