Answer:
The hours when zero calls were received were most possibly when Madera turned the phone off while playing in a soccer game.
Step-by-step explanation:
According to the question,
Madera, a middle school student, received some phone calls on one Saturday from 10 a.m. to 10 p.m.
The hours when zero calls were received were most possibly when Madera turned the phone off while playing in a soccer game.
Answer:
Step-by-step explanation:
My favorite way to go at this is to look at a graph. It shows the vertex at (-2, -11). Since the leading coefficient is 2, this means the roots are ...
where the 2 in the denominator of the radical is the leading coefficient.
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You can also use other clues:
- the axis of symmetry is -b/(2a) = -8/(2(2)) = -2, so answer choices C and D don't work
- the single change in sign in the coefficients (+ + -) tells you there is one positive real root, so answer choice B doesn't work.
The first answer choice is the only one with values symmetrical about -2 and one of them positive.
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You may be expected to use the quadratic formula:
Answer: her swimming speed = 1.875 mph
Speed of current = 0.625 mph
Step-by-step explanation:
Let x represent her swimming speed.
Let y represent the speed of the current.
Paulina swims 5 miles down a creek with a current for 2 hours. Since this is faster, it means that she swam with the current. Her total speed would be (x + y) mph
Distance = speed × time
Therefore,
5 = 2(x + y)
dividing both sides by 2, it becomes
2.5 = x + y- - - - - - -1
It takes her 4 hours to swim the same 5 miles back to her original destination against the
same current. It means that her total speed was (x - y) mph
Distance covered would be
5 = 4(x - y)
Dividing both sides by 4, it becomes
1.25 = x - y- - - - - - - 2
Adding equation 1 to equation 2, it becomes
3.75 = 2x
x = 3.75/2
x = 1.875
Substituting x = 1.875 into equation 1, it becomes
2.5 = 1.875 + y
y = 2.5 - 1.875
y = 0.625
<span><u><em>The correct answer is:</em></u>
4) y-axis, x-axis, y-axis, x-axis.
<u><em>Explanation</em></u><span><u><em>: </em></u>
Reflecting a point (x,y) across the <u>x-axis</u> will map it to (x,-y).
Reflecting a point (x,y) across the <u>y-axis</u> will map it to (-x,y).
Reflecting a point (x,y) across the line <u>y=x</u> will map it to (y, x).
We want a series of transformations that will map every point (x,y) back to (x,y). This means that everything that gets done in one transformation must be undone in another. The only one where this happens is #4.
Reflecting across the y-axis first negates the x-coordinate; (x,y) goes to (-x,y).
Reflecting this across the x-axis negates the y-coordinate; (-x,y) goes to (-x,-y).
Reflecting this point back across the y-axis negates the x-coordinate again, returning it to the original: (-x,-y) goes to (x,-y).
Reflecting this point back across the x-axis negates the y-coordinate again, returning it to the original: (x,-y) goes to (x,y).
We are back to our original point.</span></span>
Answer: 137
Step-by-step explanation:
The given expression: 
We need to find the value of the expression when x=4.
So we just use the substitution property and substitute the value of x= 4 in the given expression , we get
Hence, the value of the expression at x=4 is 137.
