The function y=px2−4x+qy=px2−4x+q in the x-y plane attains a minimum value. what is the value of xx? 1) p=2p=2 2) q=5

1

Step-by-step explanation:

Given function:

y = px² - 4x + q

To find the points of maxima or minima

= 0

or

2px - 4 + 0 = 0

or

px = 2

or

x = [2 ÷ p]

at p = 2

x = 2 ÷ 2 = 1

To check for minima

> 0

thus,

2p - 0 > 0

2p > 0

for positive value of p function is minimum at x = 1

2) at q = 5 also x = 1 as value of x is independent of q

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls