You subtract 7m and 13m which would give you -6m after you have -6m - 5= 25 then you add 5 which gives you 30 you then you divide that by -6 which gives you m=-5
Answer:
There will be 6 necklaces
Step-by-step explanation:
102/17 is 6
let x be the price before the discount
If you get 12% off, then you only pay the remaining 88% (since 88%+12% = 100%). This means if you take 88% of the original price (x), then you get the final price (132)
In terms of an equation, we have,
88% of (original price) = final price
(88/100)*(x) = 132
0.88*x = 132
0.88*x/0.88 = 132/0.88 <--- divided both sides by 0.88
x = 150
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Answer: The price without the discount is $150
Answer:
A) 5x²(x^(8) - 16)
B) 5x²[(x⁴ + √16) • (x² + ∜16) • (x + (8√16) • (x - (8√16))]
Step-by-step explanation:
We are given the expression;
5x^(10) - 80x²
A) Since the expression is, 5x^(10) - 80x², the greatest common factor is 5x². So we will factorize that out.
So, we have;
5x²(x^(8) - 16)
B) The complete factorization of 5x²(x^(8) - 16) will be;
5x²[(x⁴ + √16) • (x⁴ - √16)]
Now, (x⁴ - √16)] can be broken than further into;
(x² + ∜16) • (x² - ∜16)
Also, (x² - ∜16) can be broken down into;
[(x + (8√16) • (x - (8√16))
So, our complete factorization gives us;
5x²[(x⁴ + √16) • (x² + ∜16) • (x + (8√16) • (x - (8√16))]
The equation of the parabola with the given vertex and directrix in vertex form is y = (1/16)( x + 5 )² - 9.
Hence, option C is the correct answer.
<h3>What is the equation of the parabola?</h3>
Given the data in the question;
- Vertex of the parabola: ( -5, -9 )
- h = -5
- k = -9
- Directrix of the parabola: y = -13
To find the equation, we use the equation of the parabola that opens up or down since the directrix ( y = -13 ) is vertical.
The equation is expressed as;
( x - h )² = 4p( y - k )
First, we find the distance from the focus to the vertex.
|p| is the distance rom the focus to the vertex and from the vertex to the directrix.
p = -9 + 13
p = 4
We substitute the values into the equation;
( x - h )² = 4p( y - k )
( x - (-5) )² = 4(4)( y - (-9) )
( x + 5 )² = 16( y + 9 )
Multiply both side by 1/16
(1/16)( x + 5 )² = y + 9
Make y the subject of the formula
(1/16)( x + 5 )² - 9 = y
y = (1/16)( x + 5 )² - 9
The equation of the parabola with the given vertex and directrix in vertex form is y = (1/16)( x + 5 )² - 9.
Hence, option C is the correct answer.
Learn more about equation of parabola here: brainly.com/question/21685473
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