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dlinn [17]
3 years ago
12

Solve for x. Round to the nearest tenth.

Mathematics
1 answer:
sp2606 [1]3 years ago
4 0

Answer: 36.2

Step-by-step explanation:

30^2+15^2=1314

square root of 1314 is equal to 36.249

rounded to nearest tenth: 36.2

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The number of customers in a grocery store is modeled by the function y -X? + 10x + 50, where y is
vova2212 [387]

Using the vertex of the quadratic function, it is found that:

a) The maximum number of customers in the store is at 12 P.M.

b) 75 customers are in the store at this time.

The number of customers in x hours after 7 AM is given by:

y = -x^2 + 10x + 50

Which is a quadratic equation with coefficients a = -1, b = 10, c = 50

Item a:

The maximum value, considering that a < 0, happens at:

x_v = -\frac{b}{2a}

Hence:

x_v = -\frac{10}{2(-1)} = 5

5 hours after 7 A.M, hence, the maximum number of customers in the store is at 12 P.M.

Item b:

The value is y(5), hence:

y(5) = -(5)^2 + 10(5) + 50 = 75

75 customers are in the store at this time.

A similar problem is given at brainly.com/question/24713268

7 0
2 years ago
Sis In order to identify the zeros of the function, a student factored the cubic function ()=−−f of , open x close , equals , x
creativ13 [48]

Answer:

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

Step-by-step explanation:

Since the steps of the factorization of the polynomial f(x) is not given, I will proceed to give the correct factorization of f(x).

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First, we factor out x since it is a common term.

f(x)=x(x²-3x-10)

Next, we factorize the quadratic expression x²-3x-10.

f(x)=x(x²-5x+2x-10)

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

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

The correct factorization of the polynomial f(x)=x³-3x²-10x is: f(x)=x(x-5)(x+2)

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