Answer:
16
Step-by-step explanation:
so in this equation we have 2 variables, and we must figure out what those variables mean:
y: "y" is the total amount of money joe has after subtracting his debt from it
x: "x" is the # of months as the cost of each month(30) is placed just before this variable
as y is the total amount of money joe has we need to substitute it for 230 to figure out how long it took for joe to recieve that much money
230=30x-250
480=30x
x=16
it took joe 16 months to get $230
Answer:
7
Step-by-step explanation:
√50 is close to √49
49 is a perfect square, 50 is close to 49.
√49 = 7
√50 ≈ 7.071068
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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Answer:
5 1/3 mph or 5.33mph
Step-by-step explanation:
1/3 of a mile / 1/16 of an hour = MPH. In order to divide fractions you flip the bottom fraction and multiply across. 1/3 / 1/16 = 1/3 * 16/1 = 16/3 = 5 1/3 = 5.33mph
Answer:
m= 1/4
Step-by-step explanation:
1) Take two points. Let's use the first and second. Subtract one y coordinate from the other. 6 - 5 = 1
2) Do the same process with the x coordinates. 0 - -4 = 4 (0 + 4)
3) Make the answer from the y coordinates the numerator and the answer from the x coordinates the denominator, and you have your final answer: 1/4