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rodikova [14]
3 years ago
5

Find the pair of numbers whose sum is 68 and whose product is a maximum.

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0
34 and 34 I’m pretty sure
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Which expression represents 75 divided by an unknown number? A. 75 – r B. 75 · r C. 75 ÷ r D. 75 + r
Harman [31]
1. c 2. d and 3,a hope i helped

7 0
3 years ago
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How many 2-digit numbers can be formed from the digits 1 through 8 if each digit is only used once?
SVEN [57.7K]

Answer:

56.

Step-by-step explanation:

That is the number of permutations of 2 from 8

= 8P2

= 8!/(8-2)!

= 8!/6!

= 8 * 7

= 56.

6 0
3 years ago
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The focus of a parabola is (0, -3) and the directrix is y = 3. What is the equation of the parabola?
OleMash [197]

Answer:

The equation of the parabola is y = -12\cdot x^{2}.

Step-by-step explanation:

Since the directrix is of the form y = a, the parabola is vertical. The vertex of the parabola (V(x,y)) is the midpoint between the focus (F(x,y)) and a point of the directrix (P(x,y)), that is to say:

V(x,y) = \frac{1}{2}\cdot F(x,y) + \frac{1}{2}\cdot P(x,y) (1)

If we know that F(x,y) = (0, -3) and P(x,y) = (0, 3), then the coordinates of the vertex of the parabola:

V(x,y) = \frac{1}{2}\cdot (0, -3) + \frac{1}{2}\cdot (0, 3)

V(x,y) = (0, 0)

The vertex factor (p) is the distance of the focus with respect to the vertex:

p = \sqrt{[F(x,y)-V(x,y)]\,\bullet \,[F(x,y)-V(x,y)]} (2)

If we know that F(x,y) = (0, -3) and V(x,y) = (0, 0), then the vertex factor is:

p = \sqrt{0^{2}+(-3)^{2}}

p = -3

The equation of the parabola in the vertex form is described below:

y - k = 4\cdot p \cdot (x-h)^{2} (3)

Where:

x - Independent variable.

y - Dependent variable.

h, k - Coordinates of the vertex.

If we know that (h,k) = (0, 0) and p = -3, then the equation of the parabola is y = -12\cdot x^{2}.

6 0
2 years ago
Please help IM SO CONFUSED!
rodikova [14]

Answer:

18

Step-by-step explanation:

You can see from the table that 2 bracelets are made every 30 minutes.

There are 9 intervals of 30 minutes each in 4.5 hours.

So, the number of bracelets that are made in 4.5 hours is

9x2=18

Another way to see this is to note from the table that 4 bracelets are made in 60 minute, which is 1 hour.  So, in 4 hours, 16 bracelets will be made. Also, from the table, 2 bracelets are made in 30 minutes, which is 1/2 hour.  So, adding up, 18 bracelets are made in 4.5 hours.

4 0
3 years ago
if a parabola has its vertex at (3,-5) and one of its x-intercepts at x=9, what is the other x-intercept?
Flauer [41]
The other x intercept is
3 0
3 years ago
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