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galben [10]
3 years ago
9

A bookstore had 48 copies of a magazine. yesterday it sold 2/3 of them

Mathematics
1 answer:
balu736 [363]3 years ago
7 0

Answer:

32 copies

Step-by-step explanation:

16 is 1/3 of 48 (48÷3)

so 16+16 is 2/3 which is 32

(idk if that's how you're supposed to do it step by step but the answer is right)

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Which of the following is a solution of x2 + 2x + 8?
zubka84 [21]
Using the quadratic equation we get:
\frac{ - 2 + - \sqrt{4 - 32} }{2} = \frac{ - 2 + - \sqrt{ - 28} }{2}

Factoring out 2 we get
\frac{ - 2 + - 2\sqrt{ - 7} }{2} = - 1( + - ) \sqrt{ - 7}
Factoring out the imaginary number:
- 1 + \sqrt{7} i \: (and) \: - 1 - \sqrt{7} i
So b.
4 0
2 years ago
Which statement describes the inverse of m(x) = x^2 – 17x?
DochEvi [55]

Given:

The function is

m(x)=x^2-17x

To find:

The inverse of the given function.

Solution:

We have,

m(x)=x^2-17x

Substitute m(x)=y.

y=x^2-17x

Interchange x and y.

x=y^2-17y

Add square of half of coefficient of y , i.e., \left(\dfrac{-17}{2}\right)^2 on both sides,

x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2

x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2

x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2        [\because (a-b)^2=a^2-2ab+b^2]

Taking square root on both sides.

\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}

Add \dfrac{17}{2} on both sides.

\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y

Substitute y=m^{-1}(x).

m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}

We know that, negative term inside the root is not real number. So,

x+\left(\dfrac{17}{2}\right)^2\geq 0

x\geq -\left(\dfrac{17}{2}\right)^2

Therefore, the restricted domain is x\geq -\left(\dfrac{17}{2}\right)^2 and the inverse function is m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}.

Hence, option D is correct.

Note: In all the options square of \dfrac{17}{2} is missing in restricted domain.

7 0
3 years ago
Find the slope of the line using the points (0,4) and (-3,6)
Anna007 [38]

slope = - \frac{2}{3}

calculate the slope m using the gradient formula

m= (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (- 3, 6)

m = \frac{6-4}{-3-0} = \frac{2}{-3} = - \frac{2}{3}


4 0
2 years ago
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snow_lady [41]
Juan payed 10% of the price
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Step-by-step explanation:

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