Answer:
• No
• Yes
• Yes
• No
Step-by-step explanation:
To determine if the 4 given values of y are solutions to the inequality, start by solving the inequality. Solving an inequality is just like that of an equation, except that the direction of the sign changes when the inequality is divided by a negative number.
-2y +7≤ -5
Subtract 7 on both sides:
-2y≤ -5 -7
-2y≤ -12
Divide by -2 on both sides:
y≥ 6
This means that the solution can be 6 or greater than 6.
-10 and 3 are smaller than 6 and are not a solutions, while 7 and 6 satisfies the inequality and are therefore solutions.
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Alternatively, we can also substitute each value of y into the inequality and check if the value is less than or equal to -5.
Here's an example to check if -10 is a solution.
-2y +7≤ -5
When y= -10,
-2y +7
= -2(-10) +7
= 20 +7
= 27
Since 27 is greater than 5, it is <u>not</u> a solution to the inequality.
(I know there isnt any real problem here to solve, but heres a tip on how to solve greatest to least with decimal problems)
1. Just because a number looks big, doesn't mean it is big
Example: 1.00000000000001 < 1.1
just look at the numbers ^ and dont just hastily read it over assuming that 1.1 is smaller because it "has less digits"
2. Negative numbers are... opposite. and they are less than positive numbers
-3.4 > -4.1
Why is this? Well, if you look on a line, with the point 0 in the middle, you can see that -3.4 is not as far away from 0 as -4.1 is. So the idea is to apply opposite logic for negative numbers
I hope these tips helped!! :D
Answer:
1st number: 20
2nd number: 25
3rd number: 75
Step-by-step explanation:
x + y + z = 120
x = y - 5
z = 3y
plug that in!
(y-5) + y + (3y) = 120
remove the parenthesis (I used them to show you what I was replacing), and add like terms.
5y - 5 = 120
move -5 to the other side
5y = 120 + 5
5y = 125
divide both sides by 5
y = 25
now that you have one number, use the equations from before to solve for the rest!
x = (25) - 5
z = 3(25)
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x = 20
y = 25
z = 75
Helloo:)
it’ll be loge (100) because ln = loge
(I’m not sure how to explain this, but I hope it helps:)!
With g=3
Just replace every g with a 3.
So the equations becomes:
12g·(9÷g)=12(3)·(9÷(3))
This can also be written in the form:
Cancelling out the 3's:
12·9=108