If your solving for x, you need to isolate/get the variable "x" by itself in the inequality:
-24 ≤ 3x - 9 First add 9 on both sides
-24 + 9 ≤ 3x - 9 + 9
-15 ≤ 3x Then divide 3 on both sides to get "x" by itself
-5 ≤ x [or x ≥ -5 if you prefer "x" to be on the left side]
Answer:
Step-by-step explanation:
a = 2, b = 1, c = -3
We need to factor this by finding the product of a and c, then from there find which factors of a * c will either add or subtract to give us b.
a * c = 6 and the factors of 6 and 1 and 6, 2 and 3. Well, 6 - 1 doesn't equal 1 and neither does 6 + 1. So our factors are 3 and 2. In order to combine those to get a 1 (our b), we will subtract 2 from 3 since 3 - 2 = 1. That means that 3 is positive and 2 is negative. Filling in the formula with 3 and 2 in place of 1 looks like this (always remember to put the absolute value of the largest number first):
Group the first 2 terms together and the second 2 term together in order to factor:
and factor out what's common in each set of parenthesis.
Notice that when we factor out a -1 from the second set of parenthesis, we can distribute it back in to get the equation we started with. We know that factoring by grouping "works" if what is inside both sets of parenthesis is exactly the same. Ours are identical: (2x + 3). That is common now, and can be factored out:
That matches your first choice
1)We have to make a line perpendicular to y=2x+3, passing through the point (0,0).
y=2x+3
m=solpe=2
The slope of the line perpedicular to y=2x+3 is m´
m´=-1/m
m´=-1/2
Point slope form:
y-y₀=m(x-x₀)
(0,0)
m=-1/2
y-0=-1/2(x-0)
y=-x/2
Therefore, the line perpendicular to y=2x+3 is y=-x/2.
2)The point on the line y=2x+3 tha is closest to the origin is the point of intersection of the two lines.
y=2x+3
y=-x/2
We can solve this system of equations by equalization method.
2x+3=-x/2
least common multiple=2
4x+6=-x
4x+x=-6
5x=-6
x=-6/5 (=-1.2)
y=-x/2
y=-(-6/5)/2=6/10=3/5 (=0,6)
Therefore: the point of the line y=2x+3 that is closest to the origin is:
(-1.2 , 0.6)
Answer:
1. <
2. <
3. <
4. <
5. >
6. >
7. -2, 5, 6
8. -3, 0, 9
9. -1, 1, 6
10. 1, 0, -1
11. 2, 1, -12
12. -10, -11, -12
13. 205, 50, -5, -20
14. 78, 9, -78, -89
15. 60, 0, -2, -55
16. 28, 8, 0, -8
17. 38, 37, -37, -38
18. 11, 1, -1, -111
Explanation:
When it comes to negative and positive numbers you must be careful.
For a positive number, the bigger it is is the greater it'll get
For negative numbers, as the numbers continue to increase the less the value will become.
Answer:
<em>I </em><em>think</em><em> </em><em>Option</em><em> </em><em>B </em><em>is </em><em>correct</em>
Step-by-step explanation:
because Iron nail is wrapped with a copper wire so it's a solinoid and when the switch is off it gets magnetic field or the iron nail would behave like a magnet.
and It would attract metallic things.
Hope this helps you
have a nice day :)
