Answer:
☐ -2 < 2x + 4
☐ -3x - 2 > 5
Step-by-step explanation:
-3x - 2 > 5
+ 2 + 2
___________
-3x > 7
___ ___
-3 -3
x < -2⅓ [Anytime you <em>divide</em> or <em>multiply</em> by a negative, reverse the inequality symbol.]
-2 < 2x + 4
-4 - 4
___________
-6 < 2x
__ ___
2 2
-3 < x
If you plug in -3 for <em>x < -2</em><em>⅓</em><em>,</em><em> </em>you will see that it is a genuine statement because the more higher a negative gets, the lesser the integer will be, so in this case, -3 IS <em>less</em><em> </em><em>than</em><em> </em>-2⅓.
I am joyous to assist you anytime.
** If it is not multi-select, then choose <em>-2 < 2x + </em><em>4</em><em>.</em>
Answer:
First differences means take the ordered pairs in increasing order for their x coordinates (assuming the x's go by ones), then subtract each y (except the last) from the y that comes after it. Keep doing that and you get the first differences. (The second differences would be what you get if you then subtract each of the first differences from the one that came after it (TMI probably but ...)
Say the points were (1,3), (2,7), (3,11) and (4,15). The first differences are
7-3 = 4
11-7 = 4
15 - 11 = 4 all 4. This would also be the slope. So that is the relationship - they are the same.
Answer:
4:1
Step-by-step explanation:
x+20 : y+20 = 5 : 2
(x+20)/(y+20) = 5/2
2(x+20) = 5(y+20)
2x+40 = 5y+100
2x = 5y+60 (1)
x-5 : y-5 = 5:1
(x-5)/(y-5) = 5/1
x-5 = 5(y-5)
x-5 = 5y-25
x = 5y-20 (2)
Solve (1) & (2) simultaneously,
2(5y-20) = 5y+60
10y-40 = 5y+60
5y = 100
y = 20
x = 5y-20
x = 5(20)-20 = 100-20
x = 80
x:y
80:20
4:1
Answer:
Total length of iron needed to make the square frame and two diagonals = 43.44 in (Approx)
Step-by-step explanation:
Given:
Length of diagonal = 9 in
Find:
Total length of iron needed to make the square frame and two diagonals.
Computation:
Area of square = 1/2(diagonal)²
Area of square = 1/2(9)²
Area of square = 40.5 in²
Area of square = Side × Side
40.5 in² = Side × Side
Side = 6.36 (approx)
Total length of iron needed to make the square frame and two diagonals = Permeter of square + (2 × diagonal)
⇒ (4 × 6.36) + (2 × 9)
⇒ (25.44) + (18)
⇒ 43.44 in
Total length of iron needed to make the square frame and two diagonals = 43.44 in (Approx)
Answer:
x (378) + y (378) =
Step-by-step explanation:
First i split 756.00 in half so basically what ever is multiplied by two to get 756 and i got 378. So since x = 3.00 and y = 2.00, it would come out to this:
3.00 x 378 = x (378) =
2.00 x 378 = y (378) =
So:
x (378) + y (378) =
im sorry if i got it wrong-
