Which operation should go in the blue spot to make this equation true? 24
-3/4 = -32
Оа
Multiplication
b
Division
Subtraction

B.

Step By Step Explanation:

Firstly, Multiplying 24 by a number less than one but greater than 0, (in this case -3/4) will make its absolute value less than the original (less than 24 and greater than -24) because when you multiply by less than 1, you are essentially shrinking the number. (If 24*1=24, 24*0.5 is 12) So it can´t be multiplication. The easiest answer to eliminate is subtraction because it can be done mentally. 24-(-3/4) would be adding, so 24.75. This is nowhere near -32. Lastly is division, which is the opposite of multiplication. When you divide by less than 1 but greater than 0, the value actually increases the same way it decreases in multiplication. (if 12/1=12, 12/0.5 is 24) This can also be proved with a calculator! Hope this helps!

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.