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Maru [420]
3 years ago
6

Darron uses a family recipe to make hamburgers. If he plans on using 1 1/3 cups of bread crumbs, about how many pounds of hambur

gers does Darron need to use to keep the relationship between bread crumbs and hamburgers proportional?
Bread crumbs (c) 1/4 1/2 3/4
Hamburgers (lb) 1 2 3
Mathematics
1 answer:
Viktor [21]3 years ago
5 0
1/4 cups = 1lb mince                                    divide both by three
1/12 cups = 1/3lb hamburgers

1 1/3 cups = 12/12 cups + 4/12 cups            
                = 16/12 cups
                =16 * 1/3lb hamburgers

- as 1/12 cups = 1/3lb burger, 16/12 cups = 16/3 lb burgers
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Find the amplitude, period, and phase shift of the function.
Softa [21]

Cosine is transformed in the form:

f(x)=a\cos(b(x-c))+d

The amplitude is a

The period of cosine is:

\frac{2\pi}{b}

And the phase shift is always by c, so that means our transformed functon in the form mentioned above looks like:

f(x)=3\cos{(3(x-\frac{\pi}{6}}))+1

So our period is \frac{2\pi}{3}

Our phase shift is by \frac{\pi}{6} units to the right

and our amplitude is 3.

4 0
3 years ago
Austin is comparing the prices of two truck rental companies. Company A charges $4 per hour and an additional $70 as service cha
solniwko [45]
A(h)=4h+70, A(h)=dollars to rent for h hours, h=hours rented.

B(h)=5h+60,  same variable explanations...

....

To compare the two values at 6 hours you have:

A(6)=4(6)+70=24+70=$94

B(6)=5(6)+60=30+60=$90

So at 6 hours Company B would charge $4 less than Company A

...

Savings at 7 hours of rental by using B instead of A is:

S(h)=A(h)-B(h)

S(h)=4h+70-5h-60

S(h)=-h+10

S(7)=-7+10=$3

So at 7 hours, Company B saves you $3.
5 0
3 years ago
Complete the statement. Round to the nearest hundredth if necessary.
mixas84 [53]
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4 0
3 years ago
Graph the function f( x ) = |x+2| - 3
stepladder [879]

Answer:

Find the attached

Step-by-step explanation:

To graph the given function, we would need to obtain pairs of points (x, f(x)). We can let x be;

-5, -4, -3, 3, 4, 5

we simply substitute each value of x in the given function to obtain the value of the function corresponding to the given x value;

when x = -5, f(-5) =  |-5+2| - 3 = 0

when x = -4, f(-4) =  |-4+2| - 3 = -1

when x = -3, f(-3) =  |-3+2| - 3 = -2

when x = 3, f(3) =  |3+2| - 3 = 2

when x = 4, f(4) =  |4+2| - 3 = 3

when x = 5, f(5) =  |5+2| - 3 = 4

The graph of the function is as shown in the attachment below.

8 0
3 years ago
Read 2 more answers
A parallelogram is drawn on a
mezya [45]

Answer:

(-3 , -3)

Step-by-step explanation:

A: (-1,2), B: (1,2), and C: (-1,-3)  .... D: (x,y)

slope of AB = (2-2)/(1 - -1) = 0    .... parallel to x axis

x coordinate of A is 2 units left to B (-1 vs 1)

y coordinate of C is 2 units left to B so D must be 2 units left to C: -1 -2 = <u>-3</u>

DC // AB , y coordinate of D = C =<u> -3</u>

D: (-3 , -3)

6 0
3 years ago
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