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:
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Answer:
h = 20 cm
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) *h
where b1 and b2 are the two bases
We are given a =400 and b1 =27 and b2 =13
400 = 1/2 (27+13) *h
400 = 1/2 (40) *h
400 = 20h
Divide each side by 20
400/20 = 20h/20
20 =h
She played 8 games. Since she earned a total of 120 points and 15 points per game you would divide 120/15=8
They can NOT. A right angle is 90°. An obtuse angle is greater than 90°. All the angles in a triangle must add up to exactly 180°. If two angles are greater than 90° then they will add up to greater than 180, beacuse 90 plus 90 equals 180. You cannot have a triangle with two obtuse angles because they will add up to greater than 180°.
X is sugar
y is butter
z is total money
$0.80x + $1.25y = z
the total money spent if the Baker bought 6 pounds of butter and 20 pounds of sugar would be $23.50.