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iris [78.8K]
3 years ago
11

All swimming equipment is on sale with a 30% discount. A snorkeling set regularly sells for $50. Find the discount.

Mathematics
2 answers:
Soloha48 [4]3 years ago
6 0
So, we know that 30% of 100 is 30. 50 is HALF of 100 so we can cut the 30 into half and we get a $15 dollar discount. :)
cluponka [151]3 years ago
4 0
+ Purchase Price = $50
- Discount (50 x 30)/100 = $15.00
= Final Price 50 - 15.00 = $35.00
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If f(x)=x sqrt -25 and g(x)=x-5, what is the domain of (f/g)(x)?
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Answer:

<h2>R-{5}</h2>

Step-by-step explanation:

f(x)=x²-25=(x-5)(x+5)

g(x)=x-5

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Find the vertex of the graph of the function.
lapo4ka [179]

Answer: The correct options are  (1) (5,10), (2) (3,-3), (3) x = -1, (4) y=(x+2)^2+3, (5) 21s and (6) 0, -1, and 5.

Explanation:

Te standard form of the parabola is,

f(x)=a(x-h)^2+k        .....(1)

Where,  (h,k) is the vertex of the parabola.

(1)

The given equation is,

f(x)=(x-5)^2+10

Comparing this equation with equation (1),we get,

h=5 and k=10

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(2)

The given equation is,

f(x)=3x^2-18x+24

f(x)=3(x^2-6x)+24

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f(x)=3(x^2-6x+9)+24-3\times 9

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Comparing this equation with equation (1),we get,

h=3 and k=-3

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(3)

The given equation is

f(x)=4x^2+8x+7

f(x)=4(x^2+2x)+7

To make perfect square add (\frac{b}{2a})^2, i.e., 1. Since there is factor 4 outside the parentheses, so subtract three times of 1.

f(x)=4(x^2+2x+1)+7-4

f(x)=4(x+1)^2+3

Comparing this equation with equation (1),we get,

h=-1 and k=3

The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.

(4)

The given equation is,

y=x^2+4x+7

To make perfect square add (\frac{b}{2a})^2, i.e., 2^2.

f(x)=x^2+4x+4+7-4

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Therefore, the correct option is  4.

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h=-16t^2+672t

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(6)

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f(x)=3x^3-12x^2-15x

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Use factoring method to find the factors of the equation.

f(x)=3x(x^2-5x+x-5)

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Equate each factor equal to 0.

x=0,-1,5

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kakasveta [241]

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