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2 years ago

Solve z3+3z2−25z−75=0 .

1 answer:

3 0

z^3 + 3z^2 -25z - 75 = 0
Factor out common terms in the first two terms, then in the last two terms
z^2(z+3)−25(z+3)=0
Factor out the common term z+3
(z+3)(z^2−25)=0
Ask: When will (z+3)(z^2−25) equal zero?
When z+3=0 or z^2−25=0
Solve each of the 2 equations above
z=−3,±5

Hope this helps

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Lilly and Alex went to a Mexican restaurant. Lilly paid $9 for 2 tacos and 3 enchiladas, and Alex paid $12.50 for 3 tacos and 4

Tema [17]

Let's call Tacos t and Enchiladas e.
Lily paid $9 for 2t and 3e
Alex paid $12.50 for 3t and 4e.
Thus the equations would be.
$2t + 3e = 9.00$
$3t + 4e = 12.50$

4 0

2 years ago

Trapezoid E F G H is reflected across line of reflection k to form trapezoid E prime F prime G prime H prime. Trapezoid E prime

Aleks [24]

Answer:

Its A

Step-by-step explanation:

i just took the quiz and got it right

8 0

1 year ago

Read 2 more answers

Now let the figure show a scale drawing of a park. The scale is 1 unit : 25 meters. What is the horizontal distance across the p

insens350 [35]

The question is missing the figure. So, the figure is attached below.

Answer:

C. 350 m

Step-by-step explanation:

Given:

Scale is given as:

1 unit : 25 meters

This means that 1 unit on the grid is equivalent to 25 meters in actual.

Now, from the figure, the horizontal distance across the park is 14 units.

1 unit = 25 meter

Now, we can find the actual distance using unitary method and thus multiplying 25 and 14 to get the actual distance across the park horizontally.

∴ 14 units = $25\times 14=350$ meters.

Therefore, the horizontal distance across the park is 350 m in actual.

So, the correct option is option C.

7 0

1 year ago

After a (not very successful) trick or treating round, Candice has 15 Tootsie rolls and 9 Twizzlers in her pillow case. Her moth

VladimirAG [237]

Answer:

4 ways.

Step-by-step explanation:

The total amount of candy she has is 15 + 9 = 24 pieces. She has three younger brothers, and 24 is divisible by 3 (24/3 = 8). 15 and 9 are also both divisible by 3 (15/3 = 5 and 9/3 = 3).

-She can give them each 5 tootsie rolls.

-She can give them each 3 twizzlers.

- She can give them each 5 tootsie rolls and 3 twizzlers (if she were to give them all of the candy)

- She can give them one of each which would leave her 12 tootsie rolls and 6 twizzlers (which is the best option if she's trying to save for herself)

I see 4 ways to do this, and 2 ways after her mother asks her to give at least 1 type of candy to each of them.

6 0

1 year ago

Determine the solution set of (3x + 1)2 - 100 = 0.

viktelen [127]

Solve for x.
(3x+1)2-100=0
(3x+1)2=100
3x+1=100/2
3x=50-1
x=49/3
x=16.33333
Hope that helps. If you have any other questions feel free to ask me

5 0

2 years ago