Hey there!
14 + 3y < 65
SOME people replace “<”, “>”, “≥”, or “≤” as an equal sign (=) to make it easier to solve
14 + 3y < 65
14 + 3y = 65
SUBTRACT by 14 on both of your sides
3y + 14 - 14 = 65 - 14
CANCEL out: 14 - 14 because that gives you 0
KEEP: 65 - 14 because it helps you solve for “y”
**65 - 14 = 51**
NEW EQUATION: 3y = 51
DIVIDE by 3 both of your sides
3y/3 = 51/3
CANCEL out: 3/3 because that gives you 1
KEEP: 51/3 because it gives you the value of “y”
NEW EQUATION: y = 51/3
**51/3 = 17**
Answer: y = 17 ☑️
☑️ OVERALL ANSWER FOR YOU: y < 17 ☑️
NOTE: it’s an OPEN circle SHADED to the LEFT
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Answer:
-22/15
Step-by-step explanation:
Okay, so, find a common multiple of 3 and 5. best way to find one is to multiply them. 3 x 5= 15. Now you have to make the numerators equivalent.
-2/3 = -10/15
-4/5 = -12/15
-10+-12=-22
Answer:-22/15
Answer:
It is closer to 1/2.
Step-by-step explanation:
First of all, 10/9 is the same thing as 1 1/9.
Draw a number line:
1/2 1
--|------|------|------|-----|---|---|------|------|------|-----|-----
0/9 1/9 2/9 3/9 4/9 5/9 6/9 7/9 8/9 9/9
Halfway between 4/9 and 5/9 is the same as 1/2 and 9/9 is the same as 1.
You can see that 1/9 is way closer to 1/2 than 1.
So, 10/9 is closer to 1/2.
(There are other ways to solve this, but this way is easiest for me!)
The completely factored equation is (a²b - 5)(4a²b - 1)
<h3>How to factor equation?</h3>
4a⁴b² - 21a²b + 5 = 0
let's expand the equation
Therefore,
4a⁴b² - 21a²b + 5 = 0
4a⁴b² - 20a²b - a²b + 5 = 0
Rearrange the equation
4a⁴b² - a²b - 20a²b + 5 = 0
Let's factorise the equation
4a⁴b² - a²b - 20a²b + 5 = 0
a²b(4a²b - 1) - 5(4a²b - 1) = 0
Therefore, the completely factored equation is as follows:
a²b(4a²b - 1) - 5(4a²b - 1) = 0
(a²b - 5)(4a²b - 1)
learn more on equation here: brainly.com/question/8842252
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