Answer:

Step-by-step explanation:
Solve for the value of
:

-Use <u>Distributive Property</u>:


-Take
and add it to
:


-Subtract both sides by
:


-Divide both sides by
:


Therefore, the value of
is
.
The correct answers are :
(5x)² ≥ 46
x² + 5x ≤ 46
5x² > 46
<h3>
What is Inequalities?</h3>
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Here, Suppose number is x
1) The square of the product of 5 and a number is not less than 46.
Step 1
Product of 5
5x
Step 2
Square of product of 5
(5x)²
Step 3
A number is not less than 46
(5x)² ≥ 46
2) The sum of square of a number and five times that number is not more than 46
Step 1
Square of a number
x²
Step 2
Five times that number
5x
Step 3
The sum = x² + 5x
Step 4
Is not more than 46
x² + 5x ≤ 46
3) The product of 5 and the square of a number is greater than 46
Step 1
The square of a number
x²
Step 2
The product of 5
5x²
Step 3
Is greater than 46
5x² > 46
Thus, The correct answers are :
(5x)² ≥ 46
x² + 5x ≤ 46
5x² > 46
Learn more about Inequality from:
brainly.com/question/20383699
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Answer:
m∠CBD=68°
Step-by-step explanation:
BA is perpendicular to BD, meaning they form a right angle (90°)
This means m∠CBD + m∠ABC=90, or they are supplementary.
We have expressions given for these angles, so
4x+52+8x-10=90
12x+42=90
12x=48
x=4
Knowing x=4, we can substitute back into our expression for m∠CBD because that's what we're looking for.
4(4)+52=68
m∠CBD is 68°.
Answer:
- y= -12
- x = 7
- q = -1
- x = 24
Step-by-step explanation:
1. ..............................................
- 6(y + 7) = 2(y - 3)
- 6y + 42 = 2y - 6
- 6y - 2y = -6 - 42
- 4y = -48
- y = -12
2...............................................
- 3x + 2(x - 5) = 25
- 3x + 2x - 10 = 25
- 5x = 25 + 10
- 5x = 35
- x = 7
3 . ..............................................
- 10q + 3q + 5 = 2(q - 3)
- 13q + 5 = 2q - 6
- 13q - 2q = -6 - 5
- 11q = -11
- q = -1
4. ..............................................
- 1/3(x + 6) = 2/3(x - 9)
- 3*1/3(x+6) = 3*2/3(x - 9)
- x + 6 = 2(x - 9)
- x + 6 = 2x - 18
- 2x - x = 6 + 18
- x = 24