Answer:
B
Step-by-step explanation:
cos(ax) reduces the period by a. So y will have a period of (2*pi)/4=pi/2
Answer:
![\large\boxed{x^3+9x^2+27x+27=(x+3)^3=(x+3)(x+3)(x+3)}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%5E3%2B9x%5E2%2B27x%2B27%3D%28x%2B3%29%5E3%3D%28x%2B3%29%28x%2B3%29%28x%2B3%29%7D)
Step-by-step explanation:
![\text{Use}\ (a+b)^3=a^3+3a^3b+3ab^2+b^3\\\\x^3+9x^2+27x+27=x^3+3(x^2)(3)+3(x)(3^2)+3^3=(x+3)^3](https://tex.z-dn.net/?f=%5Ctext%7BUse%7D%5C%20%28a%2Bb%29%5E3%3Da%5E3%2B3a%5E3b%2B3ab%5E2%2Bb%5E3%5C%5C%5C%5Cx%5E3%2B9x%5E2%2B27x%2B27%3Dx%5E3%2B3%28x%5E2%29%283%29%2B3%28x%29%283%5E2%29%2B3%5E3%3D%28x%2B3%29%5E3)
If R is the midpoint of PS, then PR = RS -- (1)
Also, PR + RS = PS -- (2)
__________________
PR + RS = PS
7x + 23 + 13x - 19 = PS
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Now, PR = PS
7x + 23 = 13x - 19
7x - 13x = -19 - 23
-6x = -42
x = -42/-6
x = 7
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PS = 7x + 23 + 13x - 19
PS = 7(7) + 23 + 13(7) - 19
PS = 49 + 23 + 91 - 19
<u>PS </u><u>=</u><u> </u><u>1</u><u>4</u><u>4</u><u> </u>
Hope it helps!
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
41.5 jus look it up on the internet
They could have 10 hotdogs which equals $7.50 and 3 drinks which equals $4.50. $7.50+$4.50 = $12