Answer:
x = 6.6
Step-by-step explanation:
Data obtained from the question include the following:
Angle X = 15°
Angle Y° = 23°
Side y = 10
Side x =..?
The value of side x can be obtained by using the sine rule as shown below:
x/Sine X = y/Sine Y
x/Sine 15 = 10/Sine 23
Cross multiply
x × Sine 23 = 10 × Sine 15
Divide both side by Sine 23
x = (10 × Sine 15) / Sine 23
x = 6.6
Therefore, the value of x is 6.6.
The correct option is Option D: f(x)=(5)ˣ.
The function is increasing where its derivative is greater than 0.
for example, f(x) is increasing then f'(x) is greater than 0.
Here f(x) = aˣ
so the dervative of the function
d(f(x))/dx=d(aˣ)/dx
⇒f'(x)= ㏑(a)aˣ
f'(x)>0
⇒㏑(a)aˣ >0
as aˣ is always greater than 0,
⇒㏑(a)>0
⇒a>1
as ㏑(a) is greater than 0 when a >1 and is lesser than when 0<a<1.
checking all the options
Option A. f(x)=(1/5)ˣ here a =1/5<1 so, f(x) is not increasing. Option A is incorrect.
Option B: f(x)=(0.5)ˣ here a =0.5<1 so, f(x) is not increasing. Option B is incorrect.
Option C: f(x)=(1/15)ˣ here a =1/15<1 so, f(x) is not increasing. Option C is incorrect.
Option D: f(x)=(5)ˣ here a =5>1 so, f(x) is increasing. Option A is correct.
Therefore the correct option is Option D: f(x)=(5)ˣ.
Learn more about increasing function
here: brainly.com/question/1503051
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25.20, that might help you hopefully!
250 and - 1250
This is a geometric sequence with common ratio r = - 5
multiply each term by - 5 to obtain the next term
- 50 × - 5 = 250
250 × - 5 = - 1250
the sequence is - 2, 10, - 50, 250, - 1250
Answer:
Step-by-step explanation:
9) because the slope is -2/1 and the y-intercept you can see is -5, hence, the slope-intercept form of equation would be :
y = mx+b, where m is the slope, and b is the y-intercept
y= -2x -5
10) m= 3/2
b= -3
Hence, y=mx+b
y = (3/2)x -3
Hope this helps!
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