1)8
2)3
3)1
4)14
the coefficient is the number in front of the variable
9514 1404 393
Answer:
f(x) = sin(0.62832(x +1))
Step-by-step explanation:
The period of the function is the difference between x=4 and x=-6, which is 10 units. Then the horizontal scaling needs to be such that when x changes by 10, the argument of the sine function changes by 2π. That scaling will make it ...
f(x) = sin(2π(x/10)) = sin(πx/5)
The upward zero-crossing is seen to be at -1, so this function has been shifted left 1 unit. This requires we replace x with x+1:
f(x) = sin(π/5(x +1))
If we use the given numerical value for pi, this becomes ...
f(x) = sin(0.62832(x +1))
Answer:
In exercises 3 and 4,write an equation of the line that passes through the given point and is parallel to the given line. 3. (1,3); y=2x-5 4. (-2,1); y= -4x+3 *In exercises 5 and 6, determine which of the lines,if any, are parallel or perpendicular. Explain! 5. line a passes through (-2,3) and (1,-1). Line b passes through (-3,1) and (1,4). Line c passes through (0,2) and (3,-2). 6. Line a: y= -4x +7 Line b: x= 4y+2 Line c: -4y+x=3 *In exercises 7 and 8, write an equation of the line that passes through the given point and is perpendicular to the given line. 7. (2,-3); y= 1/3x -5 8.(6,1); y= -3/5x-5 * In exercises 11-13, determine whether the statement is sometimes,always, or never true. Explain your reasoning! 11. A line with a positive slope and a line with a negative slope are parallel. 12. A vertical line is perpendicular to the x-axis. 13. two lines with the same x-intercept are perpendicular.
Step-by-step explanation:
I need more info
Then that
Remove parentheses<span> in </span>numerator<span>.
</span><span>1(log(<span>1/1000</span>x<span>y^2</span>))
</span>The logarithm<span> of a </span>product<span> is equal to the </span>sum<span> of the </span>logarithms<span> of each </span>factor <span>(e.g.</span><span><span>log(xy)=log(x)+log(y)</span>).</span><span> The </span>logarithm<span> of a </span>division<span> is equal to the </span>difference<span> of the </span>logarithms<span> of each </span>factor <span>(e.g.</span><span><span>log(<span>x/y</span>)=log(x)−log(y)</span>).
</span><span>1(log(x)+log(<span>y^2</span>)−log(1000))
</span>The exponent<span> of a </span>factor<span> inside a </span>logarithm<span> can be expanded to the front of the </span>expression<span> using the third law of </span>logarithms<span>. The third law of </span>logarithms<span> states that the </span>logarithm<span> of a </span>power<span> of </span>x<span> is equal to the </span>exponent<span> of that </span>power<span> times the </span>logarithm<span> of </span>x<span>(e.g.</span><span><span>lo<span>g^b</span>(<span>x^n</span>)=nlo<span>g^b</span>(x)</span>).
</span><span>log(x)+1((2log(y)))−log(1000)
</span>Remove the extra parentheses<span> from the </span>expression <span><span>1((2log(y)))</span>.
</span><span>log(x)+2log(y)−log(1000)
</span>The logarithm base 10<span> of </span>1000<span> is </span><span>3.
</span><span>log(x)+2log(y)−((3))
</span><span>Simplify.
</span>log(x)+2log(y)−<span>3
</span>
Answer:
log(x)+2log(y)−<span>3</span>
