7.

Mathematics

1 answer:

liraira [26]3 years ago

8 0

Answer:

A geometric series has a positive common ratio r. The series has a sum to infinity of 9 and the

sum of the first two terms is 5. Find the first four terms of the series.

Step-by-step explanation:

A geometric series has a positive common ratio r. The series has a sum to infinity of 9 and the

sum of the first two terms is 5. Find the first four terms of the series.

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To travel 105 miles, it takes Sue, riding a moped, 3 hours less time than it takes Doreen to travel 64 miles riding a bicycle. S

Volgvan

Let t=time Doreen travels; let r=rate of Doreen

RATE * TIME = DIST.
Sue | r+13 t-3 105
Doreen | r t 64

Now solve the system:
(r+13)(t-3)=105
r*t=64

 $r= \frac{64}{t} 
\\
\\(\frac{64}{t} +13)(t-3)=105 
\\
\\64- \frac{192} {t}+13t-39-105=0
\\
\\13t- \frac{192} {t}-80=0
\\
\\ 13t^2-80t-192=0
\\
\\t_{1,2}= \frac{80\pm \sqrt{(-80)^2-4\times13(-192)} }{2\times13}= \frac{80\pm128}{26} 
\\
\\t=\frac{80+128}{26} =8
\\
\\r=\frac{64}{t} =\frac{64}{8} =8$ 

Doreen: rate = 8 mph, time = 8 hours
Sue: rate = 21 mph, time = 5 hours

8 0

3 years ago

Creat an equation for a cubic function, in standard form, that has x- intercept given by the set {-3,1,7} and which passes throu

prohojiy [21]

Given :

Set of x-intercepts {-3,1,7},

point through which it passes (-2,54)

Now,

Step 1: Substitute value of x intercepts in equation, $y=a(x-p)(x-q)(x-r)$ , we get,