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Maslowich
3 years ago
5

The ratio table shows the depths of water in a fish tank for different numbers of gallons. Find the unit rate in inches per gall

on. Give your answer in decimal form.

Mathematics
1 answer:
pshichka [43]3 years ago
7 0
How dos3es it want it in decimsal form there are a couple ways in decimal form at list i was tought
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F(x)=-1/2(x-2)^2-4 <br> Graph the function
telo118 [61]

Answer:

  see below

Step-by-step explanation:

The function is written in vertex form. It has a negative vertical scale factor, so you know ...

  • the vertex is (2, -4)
  • the vertical scale factor is 1/2
  • the parabola opens downward

Vertex form is ...

  f(x) = a(x -h)^2 +k . . . . . . . . . . vertical scale factor "a", vertex (h, k)

__

Since you know the vertex and scale factor, you can plot some points on the graph. I find it convenient to think in terms of units either side of the vertex. These are values of x that would make (x-2)^2 be 1^2, 2^2, 3^2, 4^2 and so on. The vertical scale factor of -1/2 tells you that the y-differences for these points will be -1/2, -4/2, -9/2, -16/2 from the vertex. Then we have ...

  vertex: (2, -4)

  1 unit either side of the vertex: (1, -4.5), (3, -4.5)

  2 units either side of the vertex: (0, -6), (4, -6)

  3 units either side of the vertex: (-1, -8.5), (5, -8.5)

  4 units either side of the vertex: (-2, -12), (6, -12)

You can plot these points and draw a smooth curve through them. Or, you can let a graphing calculator do it. The result will be similar to that shown below.

6 0
3 years ago
Help me plz really need to get this done
Montano1993 [528]
3.3 
6 \frac{7}{8} = \frac{55}{8}

-1/8 - 55/8 = -56/8 = -7 

3.4 
(-4x7)/10 = -28/10  = -14/5

3.5
-19/2 ÷ 38/7  <=> -19/2 x 7/38 and simplify = -7/4

3 0
3 years ago
Read 2 more answers
Kevin asked his trainee, Anna, to help call some of his clients to sell a newly-issued municipal bond. If he had to call all of
weqwewe [10]

Answer:

3.6 hours

Step-by-step explanation:

To solve, create a Rate, Time, Work chart:

Work is rate times time. For Kevin, his work is going to equal x over 6 job. For Anna, her expression for work will equal x over 9 job.

The work is 1 job of calling all clients, so their combined work is equal to 1.  

x over 6 plus x over 9 equals 1

In the rational equation, x is the amount of time it takes Kevin and Anna to call the clients together.  With rational equations, the terms can be added together once they have common denominators.  

x over 6 plus x over 9 equals 1

fraction numerator begin display style x left parenthesis 9 right parenthesis end style over denominator begin display style 6 left parenthesis 9 right parenthesis end style end fraction plus fraction numerator begin display style x left parenthesis 6 right parenthesis end style over denominator begin display style 9 left parenthesis 6 right parenthesis end style end fraction equals fraction numerator begin display style 1 left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end style over denominator left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end fraction

fraction numerator 9 x over denominator 54 end fraction plus fraction numerator 6 x over denominator 54 end fraction equals 54 over 54

9 x plus 6 x equals 54

15 x equals 54

x equals 3.6

If Kevin and Anna work together, they can call all the clients in 3.6 hours.

7 0
2 years ago
Two runners in a 400 meter race cross the finish line in a photo finish. From the photo, officials find that the second runner w
vodomira [7]
The second place runner had already completed 320 meters when the winner crossed the finish line

8 0
3 years ago
400 quarts into a container that holds 4/7 of a quart. how many containers were used?
77julia77 [94]
700 container 
hope this helps

4 0
2 years ago
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