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Inga [223]
2 years ago
12

G(t) = (t – 10)(t + 1)

Mathematics
1 answer:
IceJOKER [234]2 years ago
8 0

Write properties of function:

x intercept/zero: t₁ = -1, multiplicity 1; t₂ = 10 , multiplicity 1

vertex form: g (t) = (t - 9/2)² - 121/4

vertex: (9/2, -121/4)

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Find the midpoint (6,3) and (14,9)
scoray [572]

Answer:

(10,6)

Step-by-step explanation:

The equation you would use to solve this is (x1+x2/2 , y1+y2/2) so when you plug in the numbers you get this (6+14/2 , 3+9/2) which eventually simplifies into (10, 6)

3 0
3 years ago
In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5 % per hour find the bacteria at
Daniel [21]

9514 1404 393

Answer:

  5187

Step-by-step explanation:

At the end of 1 hour, the count is 2.5% greater than at the beginning.

  5060 + 2.5% × 5060 = 5060 +126.5 = 5186.5

The count at the end of the hour was about 5187.

4 0
3 years ago
I WILL GIVE BRAINLIEST! PLEASE TAKE YOUR TIME!
likoan [24]

Answer:

-27.6

Step-by-step explanation:

I'm smart but probably shouldn't use my answer

8 0
3 years ago
Animals were trapped in a city and later released into the wild. A random sample of the data is provided in the table below.
Fynjy0 [20]

Answer:

c

1,400

Step-by-step explanation:

We take the sample proportion of skunks and estimate for the entire population.

Sample:

140 skunks out of 230 + 140 + 120 = 490 animals.

140/490 = 0.28571428571

If a random sample of 5,000 animals are trapped in the city, how many skunks would be estimated to be included?

0.28571428571 out of 5000. So

0.28571428571*5000 = 1429

Close to 1400, which means that the answer is given by option C.

6 0
3 years ago
An apartment building produces $4,000 per quarter in gross rents. The maintenance expenses run $350 per month. Property taxes ar
S_A_V [24]

Answer:

0.16%

Step-by-step explanation:

Cost of rent per quarter = $4000

Cost of rent per year = 4×$4000

= $16,000

This means that the apartment building produces $12,000 per year in gross rents.

Yearly Expenses are as follows;

Maintenance expenses per year = 12×$350 = $4200

Property taxes per year = $1,750

Mortgage payment per year = 12×$650 = $7800

Total expenses per year = sum of all the yearly expenses

= $4200+$1,750+$7800

= $13750

Yearly revenue generated = Cost of rent per year - total yearly expenses

= $16,000-$13750

= $2250 (net operating income)

Capitalization rate is given as the ratio of the net operating income to the market value of the building.

Capitalization rate = net operating income/market value of building

Since the building with $83750, that will be its market value

Cap rate = $13750/$83750

Cap rate = 0.16%

5 0
3 years ago
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