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vladimir2022 [97]
3 years ago
11

How do you solve for x

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0

Step-by-step explanation:

x+90+4x-75=180

add all the sides together and since its a triangle they equal to 180

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Graph y = 3(x + 2)3 - 3 and describe the end behavior.
-BARSIC- [3]
1) The function is 3(x + 2)³ - 3

2) The end behaviour is the limits when x approaches +/- infinity.

3) Since the polynomial is of odd degree you can predict that the ends head off in opposite direction. The limits confirm that.

4) The limit when x approaches negative infinity is negative infinity, then the left end of the function heads off downward (toward - ∞).

5) The limit when x approaches positive infinity is positivie infinity, then the right end of the function heads off upward (toward + ∞).

6) To graph the function it is important to determine:
- x-intercepts
- y-intercepts
- critical points: local maxima, local minima, and inflection points.


7) x-intercepts ⇒ y = 0

⇒ <span>3(x + 2)³ - 3 = 0 ⇒ (x + 2)³ - 1 = 0
</span>

<span>⇒ (x + 2)³ = -1 ⇒ x + 2 =  1 ⇒ x = - 1
</span>

8) y-intercepts ⇒ x = 0

y = <span>3(x + 2)³ - 3 = 3(0 + 2)³ - 3 = 0 - 3×8 - 3 = 24 - 3 = 21
</span><span>
</span><span>
</span><span>9) Critical points ⇒ first derivative = 0
</span><span>
</span><span>
</span><span>i) dy / dx = 9(x + 2)² = 0
</span><span>
</span><span>
</span><span>⇒ x + 2 = 0 ⇒ x = - 2
</span><span>
</span><span>
</span><span>ii) second derivative: to determine where x = - 2  is a local maximum, a local  minimum, or an inflection point.
</span><span>
</span><span>
</span><span>y'' = 18 (x + 2); x = - 2 ⇒ y'' = 0 ⇒ inflection point.
</span><span>
</span><span>
</span><span>Then the function does not have local minimum nor maximum, but an inflection point at x =  -2.
</span><span>
</span><span>
</span><span>Using all that information you can graph the function, and I attache the figure with the graph.
</span>


3 0
3 years ago
If an angle measuring 20 is bisected to form two new angles, what is the measure of each new angle
alexgriva [62]

Answer:

10 degrees

Step-by-step explanation:

Bisection means dividing into two equal parts

So, if we bisect an angle measuring 20 degrees

It will divide into 2 equal parts and:

=> 20/2 = 10 degrees

Two angles of 10 degrees will be formed.

4 0
2 years ago
Discuss the conditions under which P(A or B)= P(A) + P(B) is true
Andrews [41]
That condition is true if P(A) and P(B) are independent of one another. For example, if I was pulling marbles out of a bag, if I am replacing the marbles back after I pull one out, then P(A or B) = P(a)+P(B).
4 0
2 years ago
Simplify the expression.<br> 3m + 3/10 + 5q + 2/10 + 9m - 2q
Wewaii [24]

Answer:

12m+1/2+3q

Step-by-step explanation:

have a lovely day!

5 0
3 years ago
Read 2 more answers
What is the y intercept of y=|x+8|?
Andrei [34K]
Since absoulte value makes everything positive asume
y=x+8
y interctpt=8


-y=x+8
multiply -1
y=-x-8
y intercept=-8
5 0
3 years ago
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