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4 years ago

What is the range of y=−x^2−2x+3? x≤−4 x≤4 x≥−4 x≥4

Mathematics

1 answer:

saveliy_v [14]4 years ago

4 0

Answer:

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,4],{y|y≤4

Hope this helps

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In the town zoo 3/8 of the animals are birds. Of the birds 4/15 are birds of prey. What fraction of the animals are nirds of pre

poizon [28]

3/8 of the animals are birds
of the birds: 4/15 are birds of prey

If you want to know what fraction of the animals at the zoo are birds of prey, you can calculate this using the following steps:

4/15 * 3/8 = 12 / (15*8) = 1 / (5*2) = 1 / 10 = 0.1

Result: In the town zoo, 1/10 of animals are birds of prey.

5 0

3 years ago

A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati

I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

$\frac{dT}{dt}=k*(T_r-T)$

If we rearrange and integrate

$\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}$

We know that at time 0, the temperature of the drink was 52°F. Then we have:

$T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20$

We also know that at t=2, T=55°F

$T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08$

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

7 0

4 years ago

real estate julie bought a house for $100,00 five years ago. if the value of the house has appreciated 5% per year , how much is

Stels [109]

To find the answer, turn the appreciated percent into a decimal:

5% ----> .05 (Divide by 100)

Then multiply it by the total value:

100,000 x .05 = 5000

Then add that to the total:

105,000

So the house is worth a total of $105,000.

Hope this helps!

5 0

4 years ago

What is the value of b2 - 4ac for the following equation? 2x 2 - 2x - 1 = 0

NikAS [45]

$2x^2-2x-1=0$
$\Delta=b^2-4ac$

$\Delta=(-2)^2-4*2*(-1)=4+8=12$

5 0

3 years ago

Read 2 more answers

The correlation coefficient between two quantitative variables is approximately 0.02. What does the value of this correlation co

Elza [17]

Answer:

The model is not a good fit

Step-by-step explanation:

The correlation Coefficient is a metric used to evaluate the strength of the relationship between 2 variables, the correlation Coefficient ranges from - 1 to + 1 with values closer to either ±1 depicting the strongwr and better relationship. A value of 0 means no relationship exists and values close to zero means the relationship is weak. Wutb a correlation Coefficient value of 0.02, this value is very close to 0 and hence shows that the relationahip is extremely weak. Hence, the model is not a good fit.

5 0

3 years ago