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Ber [7]
3 years ago
13

A function is shown f(x)=x^2+2x-1 which graph represents the function

Mathematics
1 answer:
Serhud [2]3 years ago
8 0

Answer:

Graph (2), top right.

Step-by-step explanation:

Given function is f(x) = x² + 2x - 1

f(x) = x² + 2x + 1 - 2

f(x) = (x + 1)² - 2

From this standard equation of a parabola,

Vertex → (-1, -2)

Axis of symmetry → x = (-1)

y-intercept → y = (-1)

Since coefficient of maximum degree term (x²) is positive so, parabola is opening upwards.

From the given choices, second option (top row right) is the answer.

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A family plans to have the hardwood floors in their square dining room re-finished, and new baseboards installed. The cost of re
Alexus [3.1K]

Answer:

Dimension of room = 18 foot x 18 foot

Step-by-step explanation:

Let the square room is of side a foot,

The cost of re-finishing the hardwood floors is $2.25 per square foot and the cost of purchasing and installing the new baseboards $14.5 per linear foot

Total cost is  $1773.

Cost for re-finishing the hardwood floors = Area x 2.25

Area = a²

Cost for re-finishing the hardwood floors = 2.25 a²

Cost of purchasing and installing the new baseboards = Perimeter x 14.5

Perimeter = 4a

Cost of purchasing and installing the new baseboards = 4a x 14.5 = 58 a

Total cost = Cost for re-finishing the hardwood floors + Cost of purchasing and installing the new baseboards

1773 = 2.25 a² + 58a

2.25 a² + 58a - 1773 = 0

a = 18 or a = -43.77(not possible)

Dimension of room = 18 foot x 18 foot

7 0
4 years ago
Solve the division equation using the model. (1 point)
Nesterboy [21]

Answer:

3. 16

Explanation:

Factor the numerator and denominator and cancel the common factors.

5 0
3 years ago
Find ab. round to the nearest tenth if necessary
Brrunno [24]

What is the equation?

6 0
3 years ago
The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu
Kazeer [188]

Answer:

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

Step-by-step explanation:

The logistic differential equation is as follows:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

In this problem, we have that:

K = 1200, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that \frac{dP}{dt} = 400 when P = 200. With this, we can find r, that is, the growth rate,

So

\frac{dP}{dt} = rP(1 - \frac{P}{K})

400 = 200r(1 - \frac{200}{1200})

166.67r = 400

r = 2.4

So the differential equation is:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

3 0
3 years ago
What is f(x) + f(x) + f(x)? <br> Please help
Talja [164]

Answer:

3f(x)

Step-by-step explanation:

I mean there's three added together so its 3 times f(x)

5 0
3 years ago
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