Whats the answers can anyone answer this question please
1 answer:
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Answer:
- 2x³
Step-by-step explanation:
f(x) - g(x)
= - x - (2x³ -
- x) ← distribute parenthesis by - 1
= - x - 2x³ +
+ x ← collect like terms )
= - 2x³
<h3>Answer: 24/25</h3>
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Explanation:
Sine is given to be negative, and so is tangent. This only happens in quadrant Q4
Recall that y = sin(theta), so if sin(theta) < 0, then we're below the x axis.
If tan(theta) < 0, then this means cos(theta) > 0
So we have y < 0 and x > 0 which places the angle somewhere in Q4.
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Draw a right triangle as shown below in the attached image. We have AC = 25 and BC = 7. Use the pythagorean theorem to find that AB = 24
So this is what your steps may look like
a^2+b^2 = c^2
7^2+b^2 = 25^2
b^2+49 = 625
b^2 = 625-49
b^2 = 576
b = sqrt(576)
b = 24
So because AB = 24, we know that the cosine of the angle is adjacent/hypotenuse = 24/25
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As an alternative, you could use the trig identity
sin^2(x) + cos^2(x) = 1
and plug in the given value of sine to solve for cosine. The cosine value result will be positive since we're in Q4.
So,
sin^2(x) + cos^2(x) = 1
(-7/25)^2 + cos^2(x) = 1
(49/625) + cos^2(x) = 1
cos^2(x) = 1 - (49/625)
cos^2(x) = (625/625) - (49/625)
cos^2(x) = (625-49)/625
cos^2(x) = 576/625
cos(x) = sqrt(576/625)
cos(x) = sqrt(576)/sqrt(625)
cos(x) = 24/25
This is effectively a rephrasing of the previous section since the pythagorean trig identity is more or less the pythagorean theorem (just in a trig form)
The answer is
first you must multiply or use the FOIL method (First, Outer, Inner, Last)
First you multiply the first terms
this gives you 3x^2, then you multiple the outer terms
this gives you -21x, then you multiply the inner terms
that gives you 2x, finally you multiply the last terms
that gives you 14, now you combine like terms
now you put all the terms together and end up with your solution
first you must multiply or use the FOIL method (First, Outer, Inner, Last)
First you multiply the first terms
this gives you 3x^2, then you multiple the outer terms
this gives you -21x, then you multiply the inner terms
that gives you 2x, finally you multiply the last terms
that gives you 14, now you combine like terms
now you put all the terms together and end up with your solution