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Whitepunk [10]
3 years ago
8

tina needs batteries. aa batteries cost $3 per pack. d batteries cost $4 per pacl. if she has $26 to spend and buys 3 times as m

any packs of aa batteries as d batteries, how many packs of each does she buy?
Mathematics
1 answer:
konstantin123 [22]3 years ago
3 0
Tina should buy 6 packs of aa batteries and 2 packs of d batteries. the cost of each is given as. 
6 packs of aa batteries = 6x3 = $18
2 packs of d batteries = 2x4 = $8
total cost = 18 +8 = $26
and aa batteries pack are 3 times greater than d batteries. 
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F(x) = 3x + 6 please help quickly!!!!!!!
Georgia [21]

Given the function, <em>f(x) = 3x + 6,</em> we can solve for f(a), f(a + h) and \frac{(f(a + h) - f(a)) }{h} by substituting their values into f(x) = 3x + 6. We will have the following:

\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}

<em><u>Given:</u></em>

  • f(x) = 3x + 6

<em>We are told to find:</em>

  1. f(a)
  2. f(a + h), and
  3. \frac{(f(a + h) - f(a)) }{h}

1. <em><u>Find f(a):</u></em>

  • Substitute x = a into f(x) = 3x + 6

f(a) = 3(a) + 6

f(a) = 3a + 6

<em>2. Find f(a + h):</em>

  • Substitute x = a + h into f(x) = 3x + 6

f(a + h) = 3(a + h) + 6

f(a + h) = 3a + 3h + 6

<em>3. Find </em>\frac{(f(a + h) - f(a)) }{h}<em>:</em>

  • Plug in the values of f(a + h) and f(a) into \frac{(f(a + h) - f(a)) }{h}

Thus:

\frac{((3a + 3h + 6) - (3a + 6)) }{h}\\\\\frac{(3a + 3h + 6 - 3a - 6) }{h}\\\\

  • Add like terms

\frac{(3a - 3a + 3h + 6 - 6) }{h}\\\\= \frac{3h }{h}\\\\\mathbf{= 3}

Therefore, given the function, <em>f(x) = 3x + 6,</em> we can solve for f(a), f(a + h) and \frac{(f(a + h) - f(a)) }{h} by substituting their values into f(x) = 3x + 6. We will have the following:

\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}

Learn more here:

brainly.com/question/8161429

6 0
3 years ago
If your bike 8 miles south and then 6 miles east, what is the distance you are from your starting point?
Lady bird [3.3K]

Answer:

<em>14 miles</em>

Step-by-step explanation:

It's still 14 miles no matter which way you go.

8 0
3 years ago
Based on the line plot, how many recipes call for more than 1/4 tsp of salt?
Studentka2010 [4]
It would be 6 haha I just took a test and got it right
5 0
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Read 2 more answers
How did the light dress up for the costume party answeres
SOVA2 [1]

The light dress up for the costume party can be as feather Hope i helped

8 0
3 years ago
Help please. Thanks in advance
anygoal [31]
Since they want only the coordinates of the vertices. You only care about where the lines intersect, the greater than, less than signs are irrelevant.

Get each equation in 'y=mx+b' form
1)  y = -x + 9
2)  y = 2x-21
3)  y = -4x +15

Now you can set any 2 equations equal to each other and solve for 'x'.
This will be the 'x' coordinate of the point where the 2 lines intersect.
You need 3 points, so you will need 3 different sets of 2 equations:

1) = 2)
2x -21 = -x+9
3x = 30
x = 10  -----> y = -(10)+9 = -1


1) = 3)
-x+9 = -4x+15
3x = 6
x = 2  -------> y = -(2) + 9 = 7

2) = 3)
2x - 21 = -4x+15
6x = 36
x = 6  ---------> y = 2(6) -21 = -9

Therefore the 3 intersecting points are:
(10,-1)
(2, 7)
(6, -9)
6 0
3 years ago
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