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otez555 [7]
3 years ago
5

Stacey worked 12 hours and Amy worked 6 hours. They made the same amount of money per hour. If they made a total of $90 how much

did they make per hour
Mathematics
1 answer:
IgorC [24]3 years ago
5 0
Stacey { \to 12hours}

Amy { \to 6hours}

12 x 5 = 30

6 x 5 = 30

60 + 30 = 90

They made $5 an hour.
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Solve in radians help plz
PIT_PIT [208]
I think we can use the identity  sin x/2  = sqrt [(1 - cos x) /2]

cos x -  sqrt3 sqrt ( 1 - cos x) /sqrt2 = 1

cos x - sqrt(3/2) sqrt(1 - cos x) = 1
sqrt(3/2)(sqrt(1 - cos x) =  cos x - 1   Squaring both sides:-
1.5 ( 1 - cos x) = cos^2 x - 2 cos x + 1

cos^2 x - 0.5 cos x - 0.5 = 0 

cos x = 1 , -0.5

giving x = 0 , 2pi, 2pi/3,  4pi/3  ( for  0  =< x <= 2pi)

because of thw square roots some of these solutions may be extraneous so we should plug these into the original equations to see if they fit.

The last 2 results dont fit so the answer is  x = 0 , 2pi Answer
5 0
3 years ago
After transforming f(x) = 2x² +4x + 3 into vertex form, the vertex is easily identifiable. Which ordered pair is the vertex?
jolli1 [7]

The vertex is (-1,1)

Explanation:

The equation is f(x)=2x^{2} +4x+3

To find the vertex, we need the equation in the form of f(x)=a (x-h)^{2}+k

Dividing each term by 2 in the equation f(x)=2x^{2} +4x+3

f(x)=2(x^{2} +2x+\frac{3}{2} )

Now, completing the square by adding and subtracting 1, we get,

f(x)=2(x^{2} +2x+1-1+\frac{3}{2} )

The first three terms can be written as (x+1)^{2},

f(x)=2[(x+1)^{2}+\frac{1}{2}  ]

Multiplying 2 into the bracket, we get,

f(x)=2(x+1)^{2} +1

This equation is of the form f(x)=a (x-h)^{2}+k

Now, we shall find the vertex (h,k)

Thus, h=-1 and k=1

Thus, the vertex is (-1,1)

7 0
3 years ago
Show that the statement is true. If DF has endpoints D(-1,8) and E(3,-2), then the midpoint M of DE lies
Sergio [31]

please help me with my homework

5 0
3 years ago
Solve for a - due soon!
telo118 [61]
A = 1/2 or 0.5
My work is shown below. I hope this helped!! ^w^

6 0
3 years ago
Find the constant of variation k for the direct variation. x f ( x ) 0 0 2 –1 4 –2 7 –3.5 k = 0.5 k = –2 k = –0.5 k = 0
Furkat [3]

Answer:

Option C is correct.

Constant of variation k = -0.5

Step-by-step explanation:

The direct variation says that:

y \propto x

then, the equation is of the form: y =kx .....[1] where k is the constant of variation.

Given the table:

x       f(x)=y

0        0

2        -1

4         -2

7         -3.5

Consider any values from the tables

x = 4 and y=f(x) = -2

Substitute these values in equation [1] we have;

-2 = 4k

Divide both sides by 4 we get;

k = -\frac{2}{4} = -0.5

Therefore, the constant of variation is, -0.5                

7 0
3 years ago
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