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Mama L [17]
2 years ago
15

The graph of y = x³ + x² - 6x is shown. a) Estimate the x-coordinates of the turning points of the graph. X= Note: Please use a

comma between your answers. b) Use the graph to find the solutions of x³ + x² - 6x = 0 X = Note: Please use a comma between your answers. -5 -4 3 -2 у 104 8- 6 4 2 -1 O -2- -4 60 -6- -8 -10- 1 2 3 X₁ 4 5​

Mathematics
1 answer:
KIM [24]2 years ago
4 0

Answer:

Below.

Step-by-step explanation:

(a). The x estimations of the turning points are -1.8 and 1.1, according to the graph.

(b). Where the graph crosses the x axis are the solutions. x = -3, 0, and 2 are the values.

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List the values of this inequality
astraxan [27]

Answer:

Anything 5 and above.

Step-by-step explanation:

The sign that is shown is the less than or equal to sign, which means whatever is added to seven, the sum would have to be 12 or above? or it wouldn't work.

4 0
2 years ago
The area of a circle is 18.31cm2.<br> find the length of the radius rounded to 2 dp.
drek231 [11]

Answer:

Step-by-step explanation:

5 0
1 year ago
Write the vector v in the form aiplusbj​, given its magnitude left norm Bold v right norm and the angle alpha it makes with the
photoshop1234 [79]

Answer:

6\sqrt{3}i-6j

Step-by-step explanation:

Given:

The magnitude, v=12

The angle \alpha it makes with the positive​ x-axis =150^0

Now for a vector (x,y)

  • \alpha =tan^{-1}(\frac{y}{x} ) ; and
  • v=\sqrt{x^2+y^2}

Therefore:

150 =tan^{-1}(\frac{y}{x} )\\\frac{y}{x} =tan 150\\\frac{y}{x}=-\frac{\sqrt{3} }{3}

y=-\frac{x \sqrt{3}}{3}

Similarly:

v=\sqrt{x^2+y^2}\\12=\sqrt{x^2+y^2}\\12^2=x^2+y^2\\144=x^2+y^2

144=x^2+(-\frac{x \sqrt{3}}{3} )^2\\144=x^2+\frac{3x^2}{9} \\144=\frac{4x^2}{3}\\4x^2=144 X 3=432\\x^2=108\\x=6\sqrt{3}

Recall that:

y=-\frac{x \sqrt{3}}{3}\\y=-\frac{6\sqrt{3}  \sqrt{3}}{3}=-6

Therefore: (x,y)=(6\sqrt{3}, -6)

The vector in the form ai+bj is therefore:

6\sqrt{3}i-6j

6 0
3 years ago
Which of the following is the correct factorization of the polynomial below?
Masja [62]
I'm pretty sure that this one is the correct factorization of the polynomial above: <span>a) (3x+4)(9x^2-12x+16)</span>
6 0
3 years ago
Sergio plans to drive 150 miles at a rate of 60 miles per hour. He figures that it will take 25 hours. Which is NOT a reason why
Tanzania [10]

Answer:

B

Step-by-step explanation:

This is a distance-rate-time problem, so we need to use the equation: d=rt, where d is the distance, r is the rate, and t is the time.

Here, we know that the total distance is 150, so d = 150. Also, we are given that Sergio's rate is 60 mph, so r = 60. Put these in:

d = rt

150 = 60t

To solve for t, we divide both sides by 60. Because we are dividing and not multiplying, we know that B is the only one that is incorrect.

Hope this helps!

7 0
3 years ago
Read 2 more answers
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