Answer:
a) 3x + y = 5
Step-by-step explanation:
Insert the coordinates into the Point-Slope Formula FIRST, <em>y</em><em> </em><em>-</em><em> </em><em>y</em><em>₁</em><em> </em><em>=</em><em> </em><em>m</em><em>(</em><em>x</em><em> </em><em>-</em><em> </em><em>x</em><em>₁</em><em>)</em><em>,</em><em> </em>with their CORRECT signs. Remember, in the Point-Slope Formula, all the negative symbols give the OPPOSITE term of what they really are. So, with that being stated, here is how you will set it up: <em>y + 1 = -3(x - 2).</em> After this [Distributive Property], convert to Slope-Intercept Form by moving "-1" to the right side of the equivalence symbol, resulting in <em>y</em><em> </em><em>=</em><em> </em><em>-</em><em>3x</em><em> </em><em>+</em><em> </em><em>5</em><em>.</em><em> </em>Go to your answer choices and see if this is there. No. So then, we try going from Slope-Intercept to Standard by moving "3x" to the left side of the equivalence symbol to end up with <em>3x + y = </em><em>5.</em><em> </em>This answer choice is found, there you are finished.
Answer:
C) 8000 at 6%; 2000 at 11%
Step-by-step explanation:
Let x represent the amount invested at 11%. Then the total interest earned is ...
0.11x +0.06(10000 -x) = 700
0.05x = 100 . . . . . . . . . subtract 600, collect terms
x = 2000 . . . . . . . . . divide by 0.05
8000 is invested at 6%; 2000 is invested at 11%.
Answer:
Second choice
Step-by-step explanation:
f(x) = (1/4)(x + 4)^2 - 9
f(x) = (1/4)(x^2 + 8x + 16) - 9
f(x) = (1/4)x^2 + 2x + 4 - 9
f(x) = (1/4)x^2 + 2x - 5
(1/4)x^2 + 2x - 5 =
= (1/2 x + 5)(1/2 x - 1)
Answer: Second choice
Answer:
41
Step-by-step explanation:
Both 32m and 56mp have a common factor of 8m:
<span>
32m +56mp = 8m(4+7p)</span>