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Fantom [35]
3 years ago
11

Solve these inequalities by showing all steps of working b) 5x + 4 < 16 *

Mathematics
2 answers:
Mama L [17]3 years ago
6 0

Step-by-step explanation:

<em><u>5</u></em><em><u>x</u></em><em><u>+</u></em><em><u>4</u></em><em><u><</u></em><em><u>1</u></em><em><u>6</u></em>

<em><u>or</u></em><em><u>,</u></em><em><u>5</u></em><em><u>x</u></em><em><u><</u></em><em><u>1</u></em><em><u>6</u></em><em><u>-4</u></em>

<em><u>or</u></em><em><u>,</u></em><em><u>5</u></em><em><u>x</u></em><em><u><</u></em><em><u>1</u></em><em><u>2</u></em>

<em><u>or</u></em><em><u>,</u></em><em><u>x</u></em><em><u><</u></em><em><u>12</u></em><em><u>÷</u></em><em><u>5</u></em>

<em><u>o</u></em><em><u>r</u></em><em><u>,</u></em><em><u>x</u></em><em><u><</u></em><em><u>1</u></em><em><u>2</u></em><em><u>/</u></em><em><u>5</u></em>

<em><u>or</u></em><em><u>,</u></em><em><u>x</u></em><em><u><</u></em><em><u>2</u></em><em><u>.</u></em><em><u>4</u></em>

<em><u>:</u></em><em><u>.</u></em><em><u>x</u></em><em><u><</u></em><em><u>2</u></em><em><u>.</u></em><em><u>4</u></em>

den301095 [7]3 years ago
6 0

Answer:

  • 5x+4<16
  • 5x<16-4
  • x=12/5
  • x=2.5

hope it helps.

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3 years ago
Identify the center and radius for the circle with the following equation; (x+5)^2+y^2+12y=3
rosijanka [135]
Center: (-5,-6)
Radius: 39
How to do it

Complete the square for
y
2
+
12
y
y
2
+
12
y
.

(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
Substitute
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
for
y
2
+
12
y
y
2
+
12
y
in the equation
(
x
+
5
)
2
+
y
2
+
12
y
=
3
(
x
+
5
)
2
+
y
2
+
12
y
=
3
.
(
x
+
5
)
2
+
(
y
+
6
)
2
−
36
=
3
(
x
+
5
)
2
+
(
y
+
6
)
2
-
36
=
3
Move
−
36
-
36
to the right side of the equation by adding
36
36
to both sides.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
Add
3
3
and
36
36
.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
This is the form of a circle. Use this form to determine the center and radius of the circle.
4 0
3 years ago
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