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rewona [7]
2 years ago
11

Consider the function f(x) = 4x² - x + 3. What is f(1)?

Mathematics
1 answer:
zhannawk [14.2K]2 years ago
3 0

Replace every x you see in the function with 1 and simplify.

Let x be 1.

f(1) = 4(1)^2 -(1) + 3

f(1) = 4(1) - 1 + 3

f(1) = 4 - 1 + 3

f(1) = 3 + 3

f(1) = 6

Done!

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A paving company is preparing to build a driveway that will be 40 feet long and 12 feet wide. They will start with an 18 inch la
svetlana [45]

Answer:27

Step-by-step explanation:first you need 40 x 12 for the area for your gravel

so 480 divided by 18 = about 27

3 0
3 years ago
The simplest form of 18/37 & 33/44, no mixed numbers please, thanks
Luden [163]
37 is prime so it is reduced to its lowest form.

33/44 simplifies to 3/4
8 0
3 years ago
What is the sum of the first 51 consecutive odd positive integers?
Angelina_Jolie [31]
We call:

a_{n} as the set of <span>the first 51 consecutive odd positive integers, so:

</span>a_{n} = \{1, 3, 5, 7, 9...\}

Where:
a_{1} = 1
a_{2} = 3
a_{3} = 5
a_{4} = 7
a_{5} = 9
<span>and so on.

In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:

3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.

Then, the common difference is 2, thus:

</span>a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\}
<span>
Then:

</span>a_{n} = a_{1} + (n-1)d
<span>
So, we need to find the sum of the members of the finite series, which is called arithmetic series:

There is a formula for arithmetic series, namely:

</span>S_{k} = ( \frac{a_{1} +  a_{k}}{2}  ).k
<span>
Therefore, we need to find:
</span>a_{k} =  a_{51}  

Given that a_{1} = 1, then:

a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1

Thus:
a_{k} = a_{51} = 2(51)-1 = 101

Lastly:

S_{51} = ( \frac{1 + 101}{2} ).51 = 2601 

4 0
3 years ago
If one foot is the same length as 12 inches, how many inches equal 3.5 feet? (Only input whole numbers.)
lesantik [10]
1ft=12in
1ft/12in=1

3.5ft=?in
1ft:12in=3.5ft:?in
1ft/12in=3.5ft/?in
times both sides by 12?in
1?=42in

answer is 42 in

or you could just do
3.5 times 12=42 inches
4 0
3 years ago
Read 2 more answers
Multiply (x-4)(x^2-5x-6) ...?
frez [133]
See attached photo for answer.

6 0
3 years ago
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