Answer:
1.) 2x-y=-7 --> y=2x + 7
2.) 5x+3y=12 --> y= -5/3x + 4
3.) x-y=1 --> y= x- 1
4.) x-3y=-15 --> y=1/3x + 5
5.) 8x-10y=20 --> y=4/5x - 2
6.) 14x+6y=36 --> y=-7/3x+6
Step-by-step explanation:
Hope this helped.
Maybe you can study it or figure out a trick. I usually study with my sibling, but if you don't have any, friends or other family. I am sure they won't mind. Also, maybe making flashcards, those work well.
Also, you can print out worksheets and make your brain remember. PRACTICE!
Answer:
Step-by-step explanation:
(3b)³ = 3³·b³ = 27b³
Answer:
The point estimate used to estimate the mean height of all adult males in Idaho is 69.505 inches.
Step-by-step explanation:
Each confidence interval has two bounds, the lower bound and the upper bound. The points estimate used to estimate the mean is the halfway point between those two bounds, that is, the sum of those two bounds divided by two.
In this problem, we have that:
Lower bound: 62.532
Upper bound: 76.478
Point estimate: (62.532 + 76.478)/2 = 69.505
The point estimate used to estimate the mean height of all adult males in Idaho is 69.505 inches.
Answer:
Horizontal shift of 4 units to the left.
Vertical translation of 8 units downward.
Step-by-step explanation:
Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:
The vertex form of the quadratic function is y = a(x - h)² + k
Where:
The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).
The axis of symmetry occurs at <em>x = h</em>.
<em>a</em> = determines whether the graph opens up or down, and makes the graph wider or narrower.
<em>h</em> = determines how far left or right the parent function is translated.
<em>k</em> = determines how far up or down the parent function is translated.
Going back to your quadratic function,
y = (x + 4)² - 8
- The vertex occrs at (-4, -8)
- a is assumed to have a value of 1.
- Given the value of <em>h</em> = -4, then it means that the graph shifted horizontally by <u>4 units to the left</u>.
- Since k = -8, then it implies that the graph translated vertically at <u>8 units downward</u>.
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