The factored expression ofx^3 - 7x^2 -5x +35 is (x^2 - 5)(x - 7)
<h3>What is an expression?</h3>
An expression is an algebraic term used for a mathematical statement that includes addition subtraction multiplication and division
x^3 – 7x^2 – 5x + 35
factor the given equation
x^2(x – 7) – 5(x - 7)
Factor out x - 7
(x^2 - 5)(x - 7)
Therefore, the factored expression is (x^2 - 5)(x - 7)
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Answer:
16
Step-by-step explanation:
The amount of money that Hudson will need to save each week is $106.25.
<h3>How to calculate the value?</h3>
From the information, they determine that the trip will cost $3,200. Mr. and Mrs. Hudson have already set aside $1,500 for the trip.
Let the amount saved each week be represented as w.
Based on the information given, this will be illustrated as:
1500 + 16w = 3200
Collect like terms
16w = 3200 - 1500
16w = 1700
Divide
w = 1700 / 16
w = 106.25
The amount is $106.25.
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Answer:
4 bags
Step-by-step explanation:
The way to read a step and leaf diagram is to consider the "stem" as the tens digit and "leaf" ans the ones digit.
So "0" in stem and "5" in leaf would be the number "05" or simply "5"
Also, "2" in stem and "4" in leaf would be the number "24"
When we have more numbers in leaf, they are basically different numbers. So lets list the numbers from stem-and-leaf plot:
5, 24, 30, 34, 65, 70, 74, 87, 90
The question asks for how many numbers are there LESS THAN 40?
the numbers less than 40 are:
5, 24, 30, 34
That is 4 numbers
9514 1404 393
Answer:
Step-by-step explanation:
The angles marked with x-expressions are complementary, so ...
(3/4x -2) + (2/5x) = 90
x(3/4+2/5) = 92 . . . . . . . add 2
x(23/20) = 92 . . . . . . . . combine the fractions
x = 92(20/23) . . . . . . . . multiply by 20/23
x = 80
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The angle marked y° is a vertical angle with the angle that is the sum of 90° and (2/5x)°. So, the value of y is ...
y = 90 + 2/5(x) = 90 +2/5(80) = 90 +32
y = 122
