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Doss [256]
4 years ago
8

(-2)^3 * x^4 (yz)^2 / 3^2 *xy^3 * z simplify this expression

Mathematics
1 answer:
asambeis [7]4 years ago
3 0
I would say - 8x^3z / 9y
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F(x)=-x^2+2mx+2m-3 with x<0
Ivanshal [37]

Answer:

m<√-3 OR m<√3i

Step-by-step explanation:

f(x)=x²+2m(x+1)-3

with x<0

b²-4ac<0

(2m)²-4(1×-3)<0

4m²+12<0

4m²<-12

m²<-12/4

m²<-3

m<√-3 OR m<√3i

3 0
3 years ago
What are the roots of the equation 9x^2 + 54x +82 = 0 in simplest a + bi form?​
s344n2d4d5 [400]

Answer:

The roots are

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Step-by-step explanation:

9x² + 54x + 82 = 0

Using the quadratic formula

That's

<h3>x =  \frac{ - b\pm \sqrt{ {b}^{2}  - 4ac} }{2a}</h3>

From the question

a = 9 , b = 54 , c = 82

Substitute the values into the above formula and solve

That's

<h3>x =  \frac{ - 54\pm \sqrt{ {54}^{2}  - 4(9)(82)} }{2(9)}  \\ x =  \frac{ - 54\pm \sqrt{2916 - 2952} }{18}  \\ x =  \frac{ - 54\pm \sqrt{ - 36} }{18}  \\ x =  \frac{ - 54\pm 6i}{18}</h3>

Separate the real and imaginary parts

That's

<h3>x =  -  \frac{54}{18} \pm \frac{6}{18}  \: i \\ x =  - 3\pm \frac{1}{3} i</h3>

We have the final answer as

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Hope this helps you

5 0
3 years ago
Identify the slope type of the graph shown above.
Contact [7]
Answer is B. Zero
Reason
Pick any points on that line, they will have the same y value , it means they lie on a horizontal line. The slope of such a line is 0.
5 0
2 years ago
Last summer 37% of a farmer's cherry tree crop was destroyed from a rate tree virus. If the farmer had 2,700 cherry trees at the
posledela
The answer is b I think
4 0
3 years ago
Read 2 more answers
If cosA=2/5, find the value of 4+4 tan^2A
Andrew [12]
The first equation is given to determine A.

cos A = 2/5
A = cos⁻¹(2/5) = 66.42°

Now that we know A, we use this value to the second equation.

4 + 4tan²A = 4 +24.996 4tan²(66.42°) = 24.996 ≈ <em>25</em>
7 0
3 years ago
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