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atroni [7]
3 years ago
6

F(-5) = -5^2 - 1 simplified

Mathematics
2 answers:
serious [3.7K]3 years ago
8 0

Answer:3

Step-by-step explanation:

MA_775_DIABLO [31]3 years ago
3 0

Answer:

It equals 24

Step-by-step explanation:

Step 1- Multiply the power

f(-5)=25-1

Step 2- Subtract

f(-5)=24

Conclusion, it equals 24.

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Callie has a new kitten. They can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18
gavmur [86]

Answer:

The weight of cat is <u>14 pounds</u> and the weight of kitten is <u>4 pounds</u>.

Step-by-step explanation:

Given:

Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.

Now, to find the weight of each animal:

Let the cat's weight be x.

And the kitten weight = \frac{x}{2} -3

Total weight of cat and kitten = 18 pounds.

Now, to set an equation to get the weight of each animal:

(x)+(\frac{x}{2}-3)=18

x+\frac{x}{2} -3=18

\frac{2x+x-6}{2} =18

\frac{3x-6}{2} =18

<em>Multiplying both sides by 2 we get:</em>

<em />3x-6=36<em />

<em>Adding both sides by 6 we get:</em>

<em />3x=42<em />

<em>Dividing both sides by 3 we get:</em>

<em />x=14\ pounds.<em />

<em>The weight of cat = 14 pounds.</em>

Substituting the value of x to get the kitten's weight:

\frac{x}{2} -3\\\\=\frac{14}{2}-3\\\\=7-3\\\\=4.

<em>The kitten's weight = 4 pounds.</em>

Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.

7 0
3 years ago
F(x)=x²+4x-7 determine the vertex
asambeis [7]

Answer:

The vertex of this parabola is (-2,-11)

Step-by-step explanation:

One way of finding the x-coordinate of the vertex of a parabola is by using the equation -\frac{b}{2a}

From the function f(x)=x^2+4x-7, we can see that

a=1\\b=4\\c=-7

This means that

-\frac{b}{2a}=-\frac{4}{2(1)} =-2

So, the x-value of the vertex is -2. Now, we can plug this x-value into the function to find the y-coordinate of the point.

f(x)=x^2+4x-7\\\\f(-2)=(-2)^2+4(-2)-7\\\\f(-2)= 4-8-7\\\\f(-2)=-11

Thus, the vertex of this parabola is (-2,-11)

3 0
3 years ago
The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain after 2000 years?
Assoli18 [71]

Answer:

167.27 mg.

Step-by-step explanation:

We have been given that the half-life of Radium-226 is 1590 years and a sample contains 400 mg.

We will use half life formula to solve our given problem.

N(t)=N_0*(\frac{1}{2})^{\frac{t}{t/2}, where N(t)= Final amount after t years, N_0= Original amount, t/2= half life in years.

Now let us substitute our given values in half-life formula.

N(2000)=400*(\frac{1}{2})^{\frac{2000}{1590}

N(2000)=400*(0.5)^{1.2578616352201258}    

N(2000)=400*0.4181633028874878239

N(2000)=167.26532115499512956\approx 167.27

Therefore, the remaining amount of Radium-226 after 2000 years will be 167.27 mg.

3 0
3 years ago
the kline family went on vacation last year and paid $199 a night for the hotel room. This year, the price has increased by 5% .
dangina [55]

Answer: $208.95

Step-by-step explanation: $199 x .05= 9.95 + $199= $208.95

8 0
3 years ago
Pls help ASP I’ll give brainliest
Leokris [45]

Answer:

1620

Step-by-step explanation:

6 0
3 years ago
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