The variable b varies directly as the square root of c. lf b= 100 when c=4, which equation can be used to find other combinations of b and c?

b = 50√c

Step-by-step explanation:

If b varies directly as the square root of c, this is expressed as;

b∝√c

b = k√c

k is the constant of proportionality

Given b = 100 and c = 4

100 = k√4

100 = 2k

k = 100/2

k = 50

Substitute k = 50 into the original expression:

Recall that: b = k√c

b = 50√c

hence equation that can be used to find other combinations of b and c is b = 50√c

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

you would need to know all the numbers that are on there

step-by-step explanation: