Answer:
y = 4
Step-by-step explanation:
5x + y = -1
y = -1 - 5x
y = 6x + 10
6x + 10 = -1 - 5x
11x = -11
x = -1
y = 6x + 10 = 6(-1) + 10 = -6 + 10 = 4
To find equivalent inequalities you have to work the inequality given.
The first step is transpose on of sides to have an expression in one side and zero in the other side:
x - 6 x + 7
--------- ≥ --------
x + 5 x + 3
=>
x - 6 x + 7
--------- - -------- ≥ 0
x + 5 x + 3
=>
(x - 6) (x + 3) - (x + 7) (x + 5)
--------------------------------------- ≥ 0
(x + 5) (x + 3)
=>
x^2 - 3x - 18 - x^2 - 12x - 35
--------------------------------------- ≥ 0
(x + 5) (x + 3)
15x + 53
- ------------------- ≥ 0
(x + 5) (x + 3)
That is an equivalent inequality. Sure you can arrange it to find many other equivalent inequalities. That is why you should include the list of choices. Anyway from this point it should be pretty straigth to arrange the terms until making the equivalent as per the options.
I think it’s -0.75. The x coordinate represents the term number so y would show the pattern which is -3.75, -4.5, -5.25, -6, -6.75, -7.5, -8.25, -9. To get to the next number, each term is being decreased by 0.75. Hope this helps :)
Answer:
Cylinder
Step-by-step explanation:
A cylinder has a 2 flat surfaces.
1 on each side
Answer: Cylinder is the correct answer
Hope this helps.
Answer:
3
Step-by-step explanation:
3
+
11
⋅
(
8
−
4
)
÷
(
5
+
6
)
−
4
Subtract 4 from 8
.
3
+
11
⋅
4
÷
(
5
+
6
)
−
4
Multiply 11 by 4
.
3
+
44
÷
(
5
+
6
)
−
4
Find the common denominator.
Add 5 and 6
.
3
+
44
÷
11
−
4
Write 3 as a fraction with denominator 1
.
3/
1
+
44
÷
11
−
4
Multiply 3/
1 by 11/
11
.
3/
1
⋅
11
/11
+
44
÷
11
−
4
Multiply 3/
1 and 11
/11
.
3
⋅
11
/11
+
44
÷
11
−
4
Write −
4 as a fraction with denominator 1
.
3
⋅
11
/11
+
44
÷
11
+ −
4
/1
Multiply −
4
/1 by 11
/11
.
3
⋅
11
/11
+
44
÷
11
+
−
4
/1 ⋅
11
/11
Multiply
−
4
/1 and 11
/11
.
3
⋅
11
/11
+
44
÷
11
+ −
4
⋅
11
/11
Combine the numerators over the common denominator.
3
⋅
11
+
44
−
4
⋅
11
/11
Simplify each term.
Multiply 3 by 11
.
33
+
44
−
44
⋅
11/
11
Multiply −
4 by 11
.
33
+
44
−
44
/11
Simplify the expression.
Add 33 and 44
.
77
−
44/
11
Subtract 44 from 77
.
33
/11
Divide 33 by 11
.
3