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SpyIntel [72]
3 years ago
9

Ms. Ache is paid $1,400 per week but is fined $150 each day she is late to work. Ms. Ache wants to make at least $2,125 over the

next two weeks so she can take a vacation. Over the next two weeks, what is the maximum number of days she can be late to work and still reach her goal of making at least $2,125? *
Mathematics
1 answer:
frutty [35]3 years ago
8 0

So she can only be late 4 days out of the 2 weeks

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F(x)=x2-10 and g(x)=11-x find (f-g)(x)(f-g)(10) and (f/g)(x) if they exist
tester [92]

Answer:

(f - g)(x) = x^2 + x-21

(f - g)(10) = 89

(f/g)(x) = \frac{x^2 - 10}{11 - x}

Step-by-step explanation:

Given

f(x) = x^2 - 10

g(x) = 11  - x

Solving (1): (f-g)(x)

(f - g)(x) = f(x) - g(x)

Substitute values for f(x) and g(x)

(f - g)(x) = x^2 - 10 - (11 - x)

Open Bracket

(f - g)(x) = x^2 - 10 - 11 + x

(f - g)(x) = x^2 -21 + x

Reorder

(f - g)(x) = x^2 + x-21

Solving (2): (f-g)(10)

In (1)

(f - g)(x) = x^2 + x-21

So:

(f - g)(10) = 10^2 + 10-21

(f - g)(10) = 100 + 10-21

(f - g)(10) = 89

Solving (3): (f/g)(x)

(f/g)(x) = \frac{f(x)}{g(x)}

Substitute values for f(x) and g(x)

(f/g)(x) = \frac{x^2 - 10}{11 - x}

6 0
3 years ago
Which ratios form a proportion?
LekaFEV [45]
I would say D. 10/16, 5/8
Hope This helps :)
4 0
3 years ago
An equation is shown below:
Wewaii [24]
First step
5.(2x-8)
= (5.2x) + (5. (-8) )
=10x + (-45)
note :(+) . (-) = (-)
so + (-45)= (-45)


Add 15 to this equation 
= 10x -40 +15= -15
=10x -25= -15
Leave x alone and make it positive
By the way, if you put (-25) in the right term, this number's notation (I mean -) will change 
Namely
= 10x= (-15)+25
=10x= 10
x=1

Hope it helps :)
P.s. I dont know mathematical terms that's why i couldn't explain it properly but i tried to help as far as i can :)


3 0
3 years ago
What is the value of x?
gavmur [86]

x=23

a²+b²=c²

25+144=169

the square root of 169 is 13

add 10 to get x

23

4 0
3 years ago
Graph. <br> f(x)=|2x+4|+1<br> use the ray tool to graph the absolute value function
MA_775_DIABLO [31]

Answer:

We are given the function, f(x) = |2x+4| + 1.

Now, as we can see that this function is obtained after applying following transformation to the function g(x) = |x|.

1. Dilation i.e. shrinking the graph horizontally by 2 units

2. Translation i.e. shifting the figure in 4 units to the left and 1 unit up.

Hence, after plotting the function f(x) = |2x+4| + 1, we get the following graph.


6 0
3 years ago
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