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timurjin [86]
3 years ago
13

What is the value of f(-2) if f(x) = - 3x2 + 4x - 1

Mathematics
1 answer:
pashok25 [27]3 years ago
4 0

Given the function below:

\large{f(x) =  - 3 {x}^{2}  + 4x - 1}

To find f(-2), we substitute x = -2 in the equation. Since f(-2) means the value of f(x) at x = -2.

\large{f( - 2) =  - 3 {( - 2)}^{2}  + 4( - 2) - 1}

Replace x-term to -2 and evaluate.

\large{f( - 2) =  - 3(4) - 8 - 1} \\  \large{f( - 2) =  - 12 -  8 - 1 \longrightarrow f( - 2) =  - 21}

Answer

  • f(-2) = -21

Let me know if you have any doubts!

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Students deliver catalogues and leaflets to houses. One day they have to deliver 480 catalogues and 1520 leaflets. Each student
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Answer:

7 students are needed

Step-by-step explanation:

Consider the complete question is,

"Students deliver catalogues and leaflets to houses.One day, they have to deliver 480 C and 1520 L.Each student can deliver either 15 C or 80 L in 1 hour.Each student's can only work for 8 hours.  Work out the minimum number of students needed."

Since, number of catalogues have to deliver = 480,

Number of leaflets have to deliver = 1520,

∵ Each student can deliver 15 catalogues or 80 leaflets in one hour.

Number of hours for working = 8,

So, the catalogues delivered by each student in a day = 15 × 8 = 120,

Similarly, the leaflets delivered by each student in a day = 80 × 8 = 640

Thus, the number of students required to deliver 480 catalogues

=\frac{\text{Total catalogues}}{\text{catalogues delivered by each student in a day}}

=\frac{480}{120}

=4

Again, the number of students required to deliver 1520 leaflets

=\frac{\text{Total leaflets}}{\text{leaflets delivered by each student in a day}}

=\frac{1520}{640}

=2.375

≈ 3 students ( we would approximate above )

Hence, the minimum students required = 4 + 3 = 7

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