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Firdavs [7]
3 years ago
5

How many solutions does the following equation have

Mathematics
2 answers:
vampirchik [111]3 years ago
7 0
B= Exactly one solution
-6y+9y= 3y
3y+13=8y-3
3y=8y-16
-5y=-16
forsale [732]3 years ago
5 0

3y+13=8y-3

then

3y+13-13=8y-3-13

3y=8y-16

3y-8y=8y-16-8y

-4y=-16

-4y/4=-16/4

the answer is -4

i think you have the rest from here

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Find the exact value of tan(x-y) if sin x=8/17 cosy = 3/5
jolli1 [7]

To solve the the question we proceed as follows:

From trigonometric laws

(cos x)^2+(sin x)^2=1

(cos x)^2+(sin x)^2=1

sin (x-y)=sin x sin y-sin y cos x

cos (x-y)=cos x cos y+sin x xin y

si  x=\frac{8}{17}

cos x=sqrt(1-(sin x)^2)=sqrt(1-64/289)=sqrt(\frac{225}{289} )=\frac{15}{17}

cos y=\frac{3}{5}

sin x= sqrt(1- (cos x)^2)= sqrt(1-\frac{9}{25} )=sqrt(\frac{16}{25} )=\frac{4}{5}

thus

tan (x-y)=[sin (x-y)]/[cos (x-y)]

=[sin x cos y-sin y cos x]/[cos x cos y+sin x sin y]

plugging in the values we obtain:

[8/17 *3/5-4/5*15/7]/[15/17*3/5+8/17*4/5]

simplifying

[24/85-60/85]/[45/85+32/85]

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6 0
2 years ago
The amount of money in a savings account after t years is represented by the function f(t)=500(1.015)^t. What does the value 500
MaRussiya [10]

Answer:

Find out the what does the value 500 represent in this situation .

To prove

As given

The amount of money in a savings account after t years is represented by the function.

f(t)=500(1.015)^{t}

Exponential function for amount is given by .

Amount = a (1 + r)^{t}

Wher a is the initial value, r is the rate in decimal form and t is the time.

Compare the functions

f(t)=500(1.015)^{t}

and

Amount = a (1 + r)^{t}

Thus a = 500

Therefor $500 is the initial value .


4 0
3 years ago
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