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Alinara [238K]
2 years ago
13

(3a) You spend $72 on tapes and CDs. Each tape costs $8 and each CD costs $12.

Mathematics
1 answer:
Makovka662 [10]2 years ago
6 0

Answer:

3a. 8t + 12c = 72

3b. t + c = 7

Step-by-step explanation:

number of tapes is t

number of Cds is c

so 8t + 12c = 72

and t + c = 7

so t = 7 - c

replace t = 7 - c in to the first equation

8(7 - c) + 12c = 72

56 - 8c + 12c = 72

4c = 72 - 56 = 16

c = 4

if c = 4, then t = 7 - c = 7 - 4 = 3

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The correct axis of symmetry is x = -1.

Explanation:

Our equation is
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This is in vertex form, which is 
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In our equation, h corresponds with -1 and k corresponds with -3, making the vertex (-1, -3).

The axis of symmetry is the x-coordinate of the vertex; this makes the axis of symmetry for this equation x = -1.
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Hello hope you are well can I have some help on this factorise question please 4f2 + f
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f(4f + 1)

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3 years ago
*100 points* *Please help* *Spam reported*
Trava [24]

Answer:

8x + 12y = 360

x-intercept = 45

y-intercept = 30

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Step-by-step explanation:

To begin, let's start with what we know

8 vans + 12 buses = 360 student

If we have vans as the variable x, having an unknown amount of students, and buses as y, also an unknown amount of students, also making 360 a flat number, we will get the equation

8x + 12y = 360

With this equation, we can find the y-intercepts and x-intercepts

The y-intercept can be found when x = 0, so let's substitute that in

8(0) + 12y = 360

   12y / 12 = 360 / 12

             y  = 30

The x-intercept can be found when y = 0, so let's substitute that in

8x + 12(0) = 360

8x/8          = 360/8

x                = 45

So, the x-intercept is 45 and the y-intercept is 30.

Next, let's find the slope. We can solve this easily by isolating y and finding the coefficient of x

8x + 12y = 360

-8x                    -8x

       12y = 360 - 8x  

12y / 12 = (360 - 8x) / 12

          y  = 30 - 3/4x

The coefficient of x is -3/4, so the slope will be -3/4

If you have any questions, please let me know in the comments! If you could mark this answer as the brainliest, I would greatly appreciate it!

4 0
2 years ago
Read 2 more answers
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