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Molodets [167]
3 years ago
13

14. Lara bought gift cards to give as gifts. She bought some $20 movie

Mathematics
2 answers:
lubasha [3.4K]3 years ago
7 0

Answer:

21

Step-by-step explanation:

The x intercept is represented by the coordinate (x,0) on x axis.

So, to find the x intercept ,we need to equate y=0 in the equation 20x+70y=420

=> 20x+ 70*0=420

=> x=420/20 =21.

x intercept is (21,0).

vovikov84 [41]3 years ago
3 0

Answer:

21

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

20*X+70*Y-420=0

Pull out like factors :

20x + 70y - 420  =   10 • (2x + 7y - 42)

Equation of a straight line:

y=mx+b

2x+7y-42  = 0

y-intercept = 42/7  =  6

x-intercept = 42/2  =  21

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Answer:

The price of price of the stock after it has been owned for 12 weeks is $92.55

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Given: The price of a particular stock is represented by the linear equation

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We have to find the price of price of the stock after it has been owned for 12 weeks.

Since , x represents the number of weeks the stock has been owned.

Thus, by substitute, x = 12

We get the value of y , the price of stocks.

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Solving , we get,

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Thus, the price of price of the stock after it has been owned for 12 weeks is $92.55.

8 0
3 years ago
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Integrate e^x(sin(x) cos(x))
Karo-lina-s [1.5K]
I=\int e^x(\sin(x)\cos(x))dx=\int e^x(\frac{1}{2}\sin(2x))dx=\frac{1}{2}\int e^x\sin(2x)dx

\text{If }u=\sin(2x)\to du=2\cos(2x)dx~\text{and}~dv=e^xdx\to v=e^x:\\\\
\text{Using }\int u\,dv=uv-\int v\,du:\\\\
I=\frac{1}{2}(e^x\sin(2x)-\int e^x(2\cos(2x))dx)\\\\
2I=e^x\sin(2x)-2\underbrace{\int e^x\cos(2x)dx}_{I_2}

Looking for I_2:

\text{If}~u=\cos(2x)\to du=-2\sin(2x)dx~\text{and}~dv=e^xdx\to v=e^x:\\\\
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Replacing:

2I=e^x\sin(2x)-2I_2\iff\\\\2I=e^x\sin(2x)-2(e^x\cos(2x)+4I)\iff\\\\
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I=\dfrac{e^x}{10}(\sin(2x)-2\cos(2x))\\\\
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3 years ago
Which expression is equal to 3⋅(10+2)+20⋅2
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76

Step-by-step explanation:

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3(10+2) +20 x 2

3(12) +20 x 2

36 + 20 x 2

36 + 40

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