This should be easy to answer with a calculator but I don’t really have a calculator on hand lol so please solve it for me:

Mathematics

1 answer:

GuDViN [60]3 years ago

6 0

Answer:

- 132

Step-by-step explanation:

This can be evaluated without a calculator.

Take each part of the calculation and evaluate, that is

- 6(3)(- 4) = - 6 × - 12 = 72

3(3)²(- 4) = 3 × 9 × - 4 = - 12 × 9 = - 108

2(3)(- 4)² = 6 × 16 = 96

Putting the 3 parts back together

72 - 108 - 96

= 72 - 204

= - 132

You might be interested in

Find the equation of the line that passes through (4,4) and is parallel to y=2x+4. Leave your answer in the form

Bess [88]

Answer:

y=2x-4

Step-by-step explanation:

If a line is parallel to another line, the only thing that's different in the equation is the y-intercept. Therefore we can solve for the y-intercept using the point (4,4)...

Note that the slope-intercept equation is y=mx+b where b is the y-intercept and m is the slope. x and y are the x and y coordinate pairs.

y=2x+b

4=2(4)+b

4=8+b

b=-4

Therefore the equation of the line that is parallel to y=2x+4 and passes through (4,4) is...

y=2x-4

4 0

2 years ago

Read 2 more answers

Consider f(x)=3ax−x2. write down a formula in terms of a for the maximum of f(x).

lidiya [134]

For this case we have the following function:
$f (x) = 3ax-x ^ 2
$
To find the maximum of the function, what we should do is to derive the equation.
We have then:
$f '(x) = 3a-2x
$
We match zero:
$3a-2x = 0
$
We clear the value of x:
$2x = 3a

x = (2/3) a$
We substitute the value of x in the function to find the maximum:
$f ((2/3) a) = 3a ((2/3) a) - ((2/3) a) ^ 2
$
Rewriting:
$f ((2/3) a) = 2a ^ 2 - (4/9) a ^ 2

f ((2/3) a) = (18/9) a ^ 2 - (4/9) a ^ 2

f ((2/3) a) = (14/9) a ^ 2$
Answer:
a formula in terms of a for the maximum of f (x) is:
$f ((2/3) a) = (14/9) a ^ 2$