Factor. 4x2 + 10x
2 answers:
Answer:
The correct option is A) 2x(2x + 5).
Step-by-step explanation:
Consider the provided expression.
The above expression can be written as:
Now take 2 common from the above expression.
The above expression can be written as:
Now take x common from the above expression.
Compare the obtained result with the provided options.
By comparing it can be concluded that the correct option is A) 2x(2x + 5).
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Answer:
24) x = 9.2
25) x = 30.8
Step-by-step explanation:
Given
See attachment for triangles
Solving (24)
To solve for x, we make use of cosine formula
i.e.
cos(40) = adjacent ÷ hypotenuse
So, we have:
cos(40) = x ÷ 12
Multiply both sides by 12
12 cos(40) = x
12 * 0.7660 = x
x = 9.2
Solving (25)
To solve for x, we make use of sine formula
i.e.
sin(25) = opposite ÷ hypotenuse
So, we have:
sin(25) = 13 ÷ x
Multiply both sides by
x sin(25) = 13
Divide by sin(25)
x = 13 ÷ sin(25)
Using a calculator
x = 30.8
Answer:
$43.20
Step-by-step explanation:
To find the original purchase price, write a proportion and solve. A proportion is an equation where two ratios are set equal.
If the discount if 15% then you pay 85%.
To solve for y, cross multiply the numerator and denominator of each fraction.
36.72(100) = 85y
3672= 85y
43.2 = y