Answer:
60 males in the aquarium
Step-by-step explanation:
It is a ratio problem. The ratio of female goldfish to male goldrish is 6:10. If you divide 216 (females) by 6 (females), you get 36. If you multiply 10 times 6, you get 60. So, the ratio turns into 216: 60. So, there are 60 males in the aquarium.
4x² + 23x = -28
4x² + 23x + 28 = 0 move all terms to one side.
4x² + 16x + 7x + 28 = 0 split the second term into two terms
4x(x + 4) + 7(x + 4) = 0 factor.
(x + 4)(4x + 7) = 0 factor.
x = -4, -7/4
hope this helps, God bless!
Your post (" <span>f(x) = 2/3(6)x ") would be clearer and less ambiguous if you'd please format it as follows:
</span><span>f(x) = (2/3)(6)^x. The (2/3) shows that 2/3 is the coefficient of the exponential function 6^x. Please use " ^ " to indicate exponentiation.
Start by graphing </span><span>f(x) = (2/3)(6)^x. The y-intercept, obtained by setting x=0, is (0, 2/3). Can you show that the value of f(x) is (2/3)*6, or 4, at x=1, (2/3)*6^2, or 24, at x = 2, and so on? What happens if x becomes increasingly smaller? The graph approaches, but does not touch, the x-axis.
If you complete this graphing assignment, then all you'd have to do is to flip the whole graph over vertically, reflecting it in the x-axis. You'll see that the graph never touchs the x-axis. Therefore, the range of this flipped graph is (-infinity, 0).</span>
Answer:
y =2/3x -2
Step-by-step explanation:
The y intercept is -2
The slope is
m = (y2-y1)/ (x2-x1)
Using the points (0,-2) and (3,0)
m = ( 0 - -2)/(3 -0)
= (0+2)/(3-0)
= 2/3
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y =2/3x -2
