This is the graph for both equations.
Answer:
2(3x+4) + 2(2x-3)
Step-by-step explanation:
this is because to be able to find the perimeter you use the formula 2(l) + 2(w)
![\huge \boxed{\mathfrak{Question} \downarrow}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cboxed%7B%5Cmathfrak%7BQuestion%7D%20%5Cdownarrow%7D)
- Find the product of (3a⁴ + 4)²
![\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7B%5Cmathfrak%7BAnswer%20%5C%3A%20with%20%5C%3A%20Explanation%7D%20%5Cdownarrow%7D)
![\sf( 3 a ^ { 4 } + 4 ) ^ { 2 }](https://tex.z-dn.net/?f=%20%5Csf%28%203%20a%20%5E%20%7B%204%20%7D%20%2B%204%20%29%20%5E%20%7B%202%20%7D)
Use binomial theorem
to expand
.
![\sf \: 9\left(a^{4}\right)^{2}+24a^{4}+16](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%209%5Cleft%28a%5E%7B4%7D%5Cright%29%5E%7B2%7D%2B24a%5E%7B4%7D%2B16%20)
To raise a power to another power, multiply the exponents. Multiply 4 by 2 to get 8.
![\boxed{ \boxed{ \bf \: C)\: 9a^{8}+24a^{4}+16 }}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cboxed%7B%20%5Cbf%20%5C%3A%20C%29%5C%3A%209a%5E%7B8%7D%2B24a%5E%7B4%7D%2B16%20%7D%7D)
Answer:
90% confidence interval for the mean is between a lower limit of 3.08 days and an upper limit of 3.18 days.
Step-by-step explanation:
Confidence interval is given as mean +/- margin of error (E)
mean = 3.13 days
sd = 0.48 day
n = 250
degree of freedom = n-1 = 250-1 = 249
confidence level (C) = 90% = 0.9
significance level = 1 - C = 1 - 0.9 = 0.1 = 10%
critical value (t) corresponding to 249 degrees of freedom and 10% significance level is 1.65153
E = t×sd/√n = 1.65153×0.48/√250 = 0.05 day
Lower limit of mean = mean - E = 3.13 - 0.05 = 3.08 days
Upper limit of mean = mean + E = 3.13 + 0.05 = 3.18 days
90% confidence interval is (3.08, 3.18)
Answer:
x = 2
Step-by-step explanation:
using the method of cross- multiplication
=
⇒ ad = bc
given
=
, then
4(x + 4) = 3(x + 6) ← distribute parenthesis
4x + 16 = 3x + 18 ( subtract 3x from both sides )
x + 16 = 18 ( subtract 16 from both sides )
x = 2