The private school enrollment of a city is 12.000. Enrollment is increasing at a rate of 4.5% annually. What would the

Mathematics

1 answer:

irakobra [83]2 years ago

3 0

Answer:

28940.568

Step-by-step explanation:

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oksian1 [2.3K]

Answer:

(8.21, -20.79)

Step-by-step explanation:

Given the simultaneous equation;

$\frac{a}{b} - \frac{b}{2} = 10\\a - b = 29$

From 2;

a = 29 + b ....3

Substitute 3 into 1;

$\frac{29+b}{b} - \frac{b}{2} = 10\\\frac{2(29+b)-b^2}{2b} = 10\\\frac{58+2b-b^2}{2b} = 10\\58+2b-b^2 = 20b\\b^2-2b-58 = -20b\\b^2-2b+20b -58 = 0\\b^2+18b-58 = 0\\$

Factorize

b = -18±√18²-4(-58)/2

b = -18±√324+232/2

b = -18±√556/2

b = -18±23.58/2

b = -18-23.58/2 and -18+23.58/2

b = -41.58/2 and 5.58/2

b = -20.79 and 2.79

Since a = 29 + b

when b = -20.79

a = 29 - 20.79

a = 8.21

Hence the solution to the system of equation is (8.21, -20.79)

7 0

3 years ago

Hich of the following are the coordinates of the vertex of y = x2 − 10x + 2?

ANEK [815]

The vertex is in essence the turning point of the parabola y = x² − 10x + 2

the x coordinate of the turning point = $- \frac{b}{2a}$
= $- \frac{-(10)}{2(1)}$
= 5

when x = 5, y = (5)² - 10(5) + 2
= -23

Thus coordinate or vertex is ( 5, -23)