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malfutka [58]
3 years ago
13

Ten less then quotient of a number and 3 is 8

Mathematics
2 answers:
Lesechka [4]3 years ago
6 0

Answer:The answer is 6

Allisa [31]3 years ago
5 0

Answer:

x =54

Step-by-step explanation:

I assume you need to find the number .

Let x = the number(AKA the variable)

x/3 - 10 = 8

x/3 = 18

x =54

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COMPLETE THE SQUARE TO REWRITE Y=X>2+8X+3 IN VERTEX FORM , AND THEN IDENTIFY THE MINIMUN Y-VALUE OF THE FUNCTION
kicyunya [14]

Answer:

The vertex form is y = (x + 4)² - 13

The minimum value of the function is -13

Step-by-step explanation:

∵ y = x² + 8x + 3

∵ 8x ÷ 2 = 4x ⇒ (x) × (4)

∴ We need ⇒ x² + 8x + 16 to be completed square

∴ y = (x² + 8x + 16) - 16 + 3 ⇒ we add 16 and subtract 16

∴ y = (x + 4)² - 13 ⇒ vertex form

∵ The vertex form is (x - a)² + b

Where a is the x-coordinate of the minimum point and b is y-coordinate of the minimum point (b is the minimum value of the function)

∴ The minimum value is -13

6 0
3 years ago
The yield of orange trees is reduced if they are planted too close together. If there are 30 trees per acre, each tree produces
Tanya [424]

Answer:

5 more than 30 trees should be  planted, for a total of 40 trees per acre.

Step-by-step explanation:

Let x be the number of trees beyond 30 that are planted on the acre

The number of oranges produced = Oranges(x) = (number of trees) (yield per tree)

We are given that For each additional tree in the acre, the yield is reduced by 7 oranges per tree

So, number of oranges produced =(30 + x)(400 -10x)

                                                        = 12000 -300x+400x-10x^2

                                                        = 12000 + 100x-10x^2

The derivative Oranges'(x) = 100-20x

Substitute first derivative equals to 0

100-20x =0

x=5

Using the second derivative test,

Oranges"(x) = -20

20 is negative,

So, this is the case of maximum.

Thus, 5 more than 30 trees should be  planted, for a total of 40 trees per acre.

4 0
3 years ago
A)y
prohojiy [21]
The answer would be B, due to the fact that the shaded area is above the line.

8 0
3 years ago
A new college, The University of Discrete Structures, is opening in Boulder! Ioana and Rachel are its founders and are holding a
Rama09 [41]

Answer:

  (a) 9 buildings

  (b) 2^n -1

Step-by-step explanation:

The number of distinct non-empty subsets of b objects is 2^b -1. Since the subsets are distinct, each could represent a list of the buildings, from the set of b buildings, in which a student is taking courses.

(a) For 8 buildings, 2^8 -1 = 255 students could enroll. for 9 buildings, 2^9-1 = 511 students could enroll.

For 500 students, 9 buildings are required.

__

(b) The maximum number of students for n buildings is ...

  2^n -1

3 0
3 years ago
If angle H equals 90 degrees, line GJ is ______ GH.
dmitriy555 [2]

Answer:

C

Step-by-step explanation:

3 0
3 years ago
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