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oksano4ka [1.4K]
3 years ago
13

13 gallons of water are used to completely fill 3 fish tanks. If each tank holds the same amount of water, how many gallons will

each tank hold? Express your answer as a mixed number. ​
Mathematics
1 answer:
Pepsi [2]3 years ago
7 0

Answer:

4 1/3

Step-by-step explanation:

12/3=4

1/3+4=4 1/3

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Megan owns a clothing boutique. The table below represents the profit made, in dollars, every year since 2010, where x represent
sergij07 [2.7K]

Answer:C.  Since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line x = 3.


Step-by-step explanation:

Let the profit made by the boutique is given by the function y(x) then

We can see

Profit made in year 2011=profit made in year 2015

i.e.y(1)=y(5)=$84,000

profit made in year 2012=profit made in year 2014

i.e.y(2)=y(4)=$111,000

And profit made in year 2013 is standing in middle as y(3)=$120,000

which gives the line of symmetry x=3.(with reference to the figure)

Therefore, the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line x = 3.

Line of symmetry is an imaginary line that divides a line or shape making two identical halves.

8 0
3 years ago
Find the equation of the axis of symmetry for this function <br> F(x)= 5x^2 - 3x + 5
likoan [24]

Answer:

x = \frac{3}{10}

Step-by-step explanation:

Given a quadratic in standard form, ax² + bx + c : a ≠ 0

Then the axis of symmetry is a vertical line with equation x = h

where h is the x- coordinate of the vertex.

The x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = 5x² - 3x + 5 ← is in standard form

with a = 5 and b = - 3, thus

x_{vertex} = - \frac{-3}{10} = \frac{3}{10}

Thus the equation of the axis of symmetry is x = \frac{3}{10}

3 0
3 years ago
Which linear function represent the table?​
rodikova [14]

Answer:

Step-by-step explanation:So, if the graph is a straight line, it is the graph of a linear function. From a table, you can verify a linear function by examining the x and y values. The rate of change for y with respect to x remains constant for a linear function. This rate of change is called the slope.Mar 9, 2011

7 0
3 years ago
Read 2 more answers
An axiom in Euclidean geometry states that in space, there are at least two three four five points that do lie in the same plane
Nonamiya [84]

The answer is a space contains at least four points that do not lie in a same plane or not all in the same plane. An axiom is a statement or proposition that is observed as being established, accepted, or self-evidently true. In other words, it is any statement or mathematical statement that functions as a starting point from which other statements are logically derived. So this can be found on postulate 1 that states “a line containing at least two points; a plane contains at least three points not all in one line; and a space contains at least four points not all in the one plane.” 

5 0
3 years ago
Joan wants to set a 4-digit unlock code for her mobile phone. She plans to use only odd numbers and to make sure that no number
LuckyWell [14K]

Answer: 120

Step-by-step explanation:

There are 5 digits that are odd, 1 3 5 7 9

There are 5 possibilities for the first digit, 4 for the second, 3 for the third, and 2 for the last, so there are 5 x 4 x 3 x 2 = 120

6 0
1 year ago
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