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lisabon 2012 [21]
3 years ago
12

Let f(x) = x2 + 4x + 1

Mathematics
2 answers:
kipiarov [429]3 years ago
5 0

Answer:

4

Step-by-step explanation:

2(.5)=1

4(.5)=2

2+1+1=4

4

mixas84 [53]3 years ago
4 0

Answer:

4

Step-by-step explanation:

plug in 0.5

0.5(2)+4(0.5)+1

4

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A field is a rectangle with a perimeter of 960 feet. The length is 100 feet more than the width. Find the width and length of th
marta [7]
To start, let x represent the width and x+100 represent the length.

Since the perimeter of a figure is the sum of all the measurements of the side which can be represented by (x+100)+(x+100)+x+x and since you know your perimeter is 960 feet, you can set the expression equal to 960. This would look like this:
(x+100)+(x+100)+x+x=960

Once you have done that, combine any like terms (combine terms with the same variables and raised to the same power together) which would simplify to this:
4x+200=960

Now that you have your like terms simplified, subtract 200 from both sides to get 4x=760 and finally, to solve for x, or find the width, divide both sides by 4 to get x=190.

Now that you have your width, now you must find your length as the question asks to find the dimensions of the rectangular field. To find the length, add 100 to the width of (190) since according to the information given, the length is 100 more than the width. When you add 100 to 190, you should get that your length is 290.

Now that you have your length and width, you can conclude that the dimensions of the field is 190 by 290 feet, which is your answer :)
4 0
2 years ago
Create your own real-world example of a relation that is a function. Domain: The set of Range: The set of
ivanzaharov [21]

Answer:

C(t)=5000 -10t

Step-by-step explanation:

There are many examples in the real world of relationships that are functions.

For example, imagine a tank full of water with a capacity of 5000 liters, this tank has a small hole, by which 10 liters of water are lost every hour.

If we call C the amount of water in the tank as a function of time, then we can write the following equation for C:

C(t)=C_{0}-at\\

Where:

C (t): Amount of water in the tank as a function of time

C_{0}: Initial amount of water in the tank at time t = 0

a: amount of water lost per hour

t: time in hours

Then the equation is:

C(t)=5000 -10t

The graph of C (t) is a line of negative slope. This relation is a function since for each value of t there is a single value of C.

Its domain is the set of all positive real numbers t between [0,500]

Because the time count starts at t = 0 when the tank is full and ends at t = 500 when empty

Its Range is the set of all positive real numbers C between [0,5000] Because the amount of water in the tank can never be less than zero or greater than 5000Litres

7 0
3 years ago
Read 2 more answers
I took a picture of the question
cluponka [151]

Answer:

27.5 inches^2

Step-by-step explanation:

Area of a triangle =

\frac{bh}{2}

Plugging in the equation,

\frac{11 \times 5}{2}   =  \frac{55}{2}  \\  \frac{55}{2}  = 27.5

7 0
2 years ago
Emma has money in two savings accounts. One rate is 7% and the other is 8%. If she has $450 more in the 8% account and the total
hodyreva [135]

Answer:

420

Step-by-step explanation:


3 0
3 years ago
Which is the best answer to this question
sattari [20]
The answer is G, because you need to put the variables that go together with the same person. 
7 0
3 years ago
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