A. (a + b)(x) =a(x)+b(x) = 4x + 9+<span> 3x − 5 = 7x - 4
B. </span>(a ⋅ b)(x)= a(x)*b(x) =(4x + 9)( 3x − 5 )= 12x²+27x-20x-45 = 12x² +7x -45
C. a[b(x)] = 4(<span>3x − 5)</span> + 9 = 12x-20+9=12x-11
Slope-intercept form can represent under the form of
y=mx+b where m represent the slope and by represent y-intercept. In this case, we already know that slope which is -6, so we need to know what is b by substitute (1,-4) in an equation that shown above where x=1 and y=-4
y=-6x+b
-4=-6(1)+b
-4=-6+b
Add 6 to each side
-4+6=-6+b+6
b=2. As a result, the slope intercept form for this problem is y=-6x+2. Hope it help!
Answer:
B. 6 cm
Step-by-step explanation:
![\text{Take the volume of a sphere and solve for r.}\\V=\frac{4}{3}\pi r^3\\\text{We already know that the volume is 113, so substitute that value.}\\113=\frac{4}{3}\pi r^3\\\text{Divide both sides by 4/3 pi.}\\\frac{113}{\frac{4}{3}\pi}=r^3\\\text{Divide 113 by 4/3 pi.}\\r^3=26.98\\\text{For a more accessible value, round up.}\\r^3 \approx27\\\text{Take the cube root of both sides.}\\r=3](https://tex.z-dn.net/?f=%5Ctext%7BTake%20the%20volume%20of%20a%20sphere%20and%20solve%20for%20r.%7D%5C%5CV%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%5C%5C%5Ctext%7BWe%20already%20know%20that%20the%20volume%20is%20113%2C%20so%20substitute%20that%20value.%7D%5C%5C113%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%5C%5C%5Ctext%7BDivide%20both%20sides%20by%204%2F3%20pi.%7D%5C%5C%5Cfrac%7B113%7D%7B%5Cfrac%7B4%7D%7B3%7D%5Cpi%7D%3Dr%5E3%5C%5C%5Ctext%7BDivide%20113%20by%204%2F3%20pi.%7D%5C%5Cr%5E3%3D26.98%5C%5C%5Ctext%7BFor%20a%20more%20accessible%20value%2C%20round%20up.%7D%5C%5Cr%5E3%20%5Capprox27%5C%5C%5Ctext%7BTake%20the%20cube%20root%20of%20both%20sides.%7D%5C%5Cr%3D3)
Now that the radius is known, all we have to do is multiply it by 2 to get the diameter. Here the answer is simply 3 * 2, or 6.
Two months ago a bicycle shop was able to sold 120 bicycle.
Then last month they were able to sold 138 bicycles already.
Let’s find for the percentage that increases during those months.
=> 138 – 120 = 18 – thus, during those months, they added 18 bicycle as sold.
=> 120 is our 100% and 18 is our increased percentage
=> 18 / 120 = 0.15 * 100 = 15%
Thus, it increases 15%, let’s check
=> 120 * .15 = 18.