Find the number of possible positive real zeros of 2x^4+14x^3-35x^2

1 answer:

7 0

Possible zeros: Factors of P/Factors of Q, where P is the constant and Q is the leading coefficient.

P = 35: 1, 5, 7, 35
Q = 2: 1, 2
+1, -1, +1/2, -1/2, +5, -5, +5/2, -5/2, +7, -7, +7/2, -7/2, +35, -35, + 35/2, -35/2
16 total

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Travelling with a current, a boat covers a distance 1.5times greater than travelling against the current in the same amount of t

slega [8]

Let the speed of the current equal c
and the speed of the boat in still water equal b.

b + c = 1.5 (b - c)
b + c = 1.5b - 1.5c
0.5b = 2.5c
b = 5c

The speed of the current is 1.5 mph so
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2 years ago

For the line segment whose endpoints are A(0,0) and B(4, 3), find the x value for the point located

Crank

Answer:

Step-by-step explanation:

The distance between A and B is given by the Pythagorean Theorem:

$= \sqrt{(4-0)^{2}+(3-0)^{2}} = 5$

The angle of the line segment is:

$\theta = \tan^{-1}\left(\frac{3-0}{4-0} \right)\\\\\theta \approx 36.870^{\circ}$

The x-coordinate of the point is:

$x = 0 + \frac{2}{3}\cdot (5) \cdot \cos 36.870^{\circ}\\\\x = 2.667$

x≅ 2.7

6 0

2 years ago

Read 2 more answers

WILL MARK BRAINLIEST, PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER!!!

Snowcat [4.5K]

Answer:
y=1/6x-6

Explanation:
What we know:
- Equation for line S: y=-6x+2
- Line T is perpendicular to line S
- Line T passes through the point (-6,-7)

To find the answer, we would need to understand two things, the first being what exactly is going on with the equation: y=-6x+2.

It’s organized in slope-intercept form, which is y=mx+b. Here’s what the variables mean:

Y=the y variable
M=the slope
X=the x variable
B=the y-intercept (the point on the line that crosses the y axis)

Knowing this, we can look at the equation for line S again: y=-6x+2. -6 is the slope of line S and 2 is the y-intercept of line S.

The second thing we need to understand is that the slope of a second line that is perpendicular to the first line is equal to the NEGATIVE RECIPROCAL of the slope of the first line.

Reciprocal: the “flip” of a fraction where the denominator and the numerator switch places

So, for example, let’s say the slope of line A=6. The slope of the line perpendicular to line A would be -1/6.

Let’s try another example: the slope of line B=-4/5. The slope of the line perpendicular to line B would be 5/4 (because two negatives makes a positive)

And here, for your question, the slope of line S=-6. Therefore, the slope of line T would be 1/6.

Awesome! We found the slope, which means so far, the equation of line T looks like this:

y=1/6x+b

All we need now is the y-intercept, which is “b” in the equation y=mx+b.

To do this, we plug in the point that the question provided us, (-6,-7), and solve. We would plug in -7 as the y variable and -6 as the x variable.

y=1/6x+b
-7=1/6(-6)+b
1) multiply 1/6 and -6
-7=-1+b
2) add 1 to both sides of the equation to isolate b
-6=b

Aha! There we have it, -6 is the y-intercept of line T.

Now, we have completed our equation:

y=1/6x-6

I hope this helps! Please comment if you have any questions.

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3 years ago

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Paha777 [63]

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\frac{2}{8}z+\frac{1}{8}z=330\\\\
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3 years ago

Fred earns $9.45 per hour. He regularly works 40 hours per week. He is paid time and a half for each hour of overtime. Last week

DENIUS [597]

Answer:

406.35

Step-by-step explanation:

40 times $9.45=378

2 times (9.45times1.5)= 28.35

28.35+378= 406.35

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3 years ago