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Degger [83]
3 years ago
14

Cassie has 1/2 pound of sugar in her cabinet.Her cake recipe calls

Mathematics
1 answer:
BigorU [14]3 years ago
6 0

Answer:

2 cakes with the sugar she has and there will still be some sugar left.

Step-by-step explanation:

Amount of sugar in the cabinet of Cassie = 1/2 pound

Amount of sugar required by Cassie to make her cake recipe = 2/10 pound

                                                                                                  = 1/5 pounds

Then

The number of cakes that Cassie can make = (1/2)/(1/5)

                                                                       = 5/2

                                                                       = 2 1/2




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If f(x)=sinx−1/cos2x, then limx→π2f(x) is equivalent to which of the following?
Harrizon [31]

Answer:

2

Step-by-step explanation:

Given g(x) = sin(x)-1/cos2(x), we are to find the limit if the function g(x) as g(x) tends to π/2

Substituting π/2 into the function

lim x-->π/2 sin(x)-1/cos 2(x)

= sin(π/2) - 1/cos(2)(π/2)

= 1 - 1/cosπ

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= 1 -(-1)

= 1+1

= 2

Hence the limit of the function h(x) = sin(x)-1/cos2(x) as x--> π/2 is 2

8 0
3 years ago
Find the solution of this system of equations.
vagabundo [1.1K]
I'm going to use the substitution method.

4x + 4y = -16
-8x - 6y = -20

4x + 4y = -16
- 4x - 4x
--------------------------
4y = -4x - 16
------ ------ ------
4 4 4

y = -x - 4

-8x - 6(-x - 4) = -20
-8x + 6x + 24 = -20
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----------------------------
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------- -------
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x = 22


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------------------------
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The answer is (22, -26).



4 0
3 years ago
Solve the system of equations. y = 2x y = x 2 – 15
inn [45]

Answer:

D. (–3, –6) and (5, 10)

Step-by-step explanation:

The system has equations:

y=2x...(1)

and

y=x^2-15...(2)

Equate both equations;

x^2-15=2x

Rewrite in standard form:

x^2-2x-15=0

We factor to obtain:

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By the zero product principle;

(x+3)=0,(x-5)=0

\implies x=-3,x=5

When x=-3, y=2(-3)=-6

This yields the ordered pair (-3,-6).

When x=5, y=2(5)=10

This yields the ordered pair (5,10).

The correct choice is D.

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