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MAVERICK [17]
3 years ago
12

Simplify: −z3+5k6−(−z3+10k6)

Mathematics
2 answers:
natta225 [31]3 years ago
7 0

Answer:

The answer to your question is        -5k⁶

Step-by-step explanation:

Polynomial

                                      - z³  + 5k⁶  - (-z³ + 10k⁶)

Use law of signs for the parenthesis

                                     - z³  + 5k⁶ + z³  - 10k⁶

Use associative property for like terms

                                    (-z³ + z³) + (5k⁶ - 10k⁶)

Simplify like terms

                                    (0)  +   (-5k⁶)

Result

                                               -5k⁶

Likurg_2 [28]3 years ago
4 0

Answer:

-5k ^6 is your answer! Hope this helps!

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F(x) = x2+3x+2 x2+5x+4 Why is there no zero at x = –1?
dmitriy555 [2]
You could rewrite F(x) as

\dfrac{x^2+3x+2}{x^2+5x+4}=\dfrac{(x+1)(x+2)}{(x+1)(x+4)}

and be tempted to cancel out the factors of x+1. But this cancellation is only valid when x\neq-1.

When x=-1, you end up with the indeterminate form \dfrac00, which is why -1 is not a zero.
7 0
3 years ago
If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by​
PIT_PIT [208]

Answer:

The family of possible values for p are:

(-\infty, -4) \,\cup \,(7, +\infty)

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|} (1)

Where:

\theta - Angle between vectors, in sexagesimal degrees.

\|\vec a\|, \|\vec b \| - Norms of vectors \vec {a} and \vec{b}

If \theta is acute, then the cosine function is bounded between 0 a 1 and if we know that \vec {a} = (p, 3, -7) and \vec {b} = (p, -p, 4), then the possible values for p are:

Minimum (\cos \theta = 0)

\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0

Maximum (\cos \theta = 1)

\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1

With the help of a graphing tool we get the family of possible values for p are:

(-\infty, -4) \,\cup \,(7, +\infty)

7 0
3 years ago
15 points!
Phantasy [73]

Hi there! You are provided with two points, this is all you need to calculate the line's slope.


The equation for slope is:

\frac{y2 - y1}{x2 - x1}

\frac{10 - 8}{3 - 7} = -\frac{2}{4}

Slope: -2/4


Point slope form, or y-y1 = m(x - x1). All we have to do is take the x and y coordinates of either point, as well as the slope, and plug them into the equation.

y - 10 = -2/4(x - 3)


Write the equation in slope-intercept form (y=mx+b)

y - 10 = -2/4(x-3)\\y = -2/4(x-3) + 10\\y = -2/4x + 1.5 + 10\\y = -2/4x + 11.5


A) -2/4

B) y - 10 = -2/4(x - 3)

C) y = -2/4x + 11.5

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Kyle made a down payment of $850 towards his car loan. He will be paying $415 every month for 24 months. What will the car cost
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The answer is B because the formula would be 850+(415*24) and the sum of that would be 10810.

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