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xxTIMURxx [149]
3 years ago
5

out of every 100£ that Judy earns at her part-time job, she saves 25£ for college. The amount she saves is directly proportional

to the amount she earns. If she earns 3,880£ in one year, how much will she save for college?
Mathematics
1 answer:
poizon [28]3 years ago
5 0

Answer: 970

Step-by-step explanation:

3,880 divided by 100= 38.8*25=970

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What is the vertex of the graph of f(x) = |x – 13| + 11?
dybincka [34]

Answer:

The vertex of the graph of f(x) = |x - 13| + 11 is (13, 11).

Step-by-step explanation:

There is something called absolute value in the given function. It means two equations will result from it.

When (x -13) > 0 the resultant equation is

y = f(x) = x - 13 + 11 = x - 2 - This will be the first equation

or  

When (x - 13) < 0 the resultant equation is

y = f(x) = -(x - 13) + 11 = -x + 24 - This will be the second equation.

The intersection of these lines will give the vertex as found by solving both equations at the same time.  

y = x - 2

y = -x + 24

_________

2y = 0 + 22

y =  \frac{22}{2} = 11

Replacing the value of y for any one;

x = 11 + 2 = 13 (first one)

x = 24 - 11 = 13 (second one)

The vertex is (13, 11)

8 0
2 years ago
Read 2 more answers
If you were given the following statements write your conclusion <br> if you are given :
prohojiy [21]

Answer:

ab and cd intersect at E because they are vertically opposite angles they always intersect at a point

6 0
3 years ago
Need answer asap. will give thanks
kompoz [17]
The answer of the larger circle = 254.34
Formula = radius*radius*π

The answer of the smaller circle = 113.04

254.34 - 113.04 = 141.3

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4 0
3 years ago
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Can someone help me with this
Helen [10]
I cant see it well try to get a better pic and i can help you 
4 0
3 years ago
Please help me with this question I also need to see the steps if possible!
umka21 [38]

Hi there!

To solve, we must use the following trig identity:

sin(u - v) = sin(u)cos(v) - sin(v)cos(u)

We can rewrite the left hand side of the equation as:

\frac{sin(u)cos(v)-sin(v)cos(u)}{sin(u)cos(v)}

Split the fraction:

\frac{sin(u)cos(v)}{sin(u)cos(v)} - \frac{sin(v)cos(u)}{sin(u)cos(v)} =

First fraction reduces to 1:

1 - \frac{sin(v)cos(u)}{sin(u)cos(v)} =

Simpify each with common arguments:

1 - tan(v)cot(u)

4 0
3 years ago
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