PLEASEE HELPP MEEEE!!!!!!!!! PLEASEE!!!!!!!!!!!!!!!<br><br> what is the value of x?

a company has two packaging machines in a unit, each with a different daily capacity. the capacity of machine 1 is defined by th

Licemer1 [7]

The required function C (m ) which represents the combined capacity of the two machines is $c(m) = 2m^2 + 104m + 1704$

What are functions?

A connection between a collection of inputs and outputs is known as a function.

The given functions are:

$f(m) = (m+40)^2 + 10 \\and\\g(m) = (m+12)^2 - 50$

$C(m) = f(m) + g(m)$

Expanding the two square brackets in the following manner to calculate that sum:

$f(m) = (m+40)^2 + 10 = m^2 + 80m + 1600 + 10 = m^2 + 80m + 1610\\g(m) = (m+12)^2 - 50 = m^2 + 24m + 144 - 50 = m^2 +24m + 94$

$f(m) + g(m) = 2m^2 + 104m + 1704$

Therefore, function C (m ) which represents the combined capacity of the two machines is $c(m) = 2m^2 + 104m + 1704$

Learn more about functions here:

brainly.com/question/22340031

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5 0

1 year ago

What are the real zeros of f(x) = x3 – 3x2 – 4x? A. 0, 1, 4 B. 1, -1, 4 C. -1, 0, 4 D. 1, 0, -4

Natalka [10]

Step-by-step explanation:

$f(x) = x^3 - 3x^2 - 4x$

factor it: (start by factoring out the x that is common to all 3 )

$= x\left(x^2-3x-4\right)$

next keep factoring the inside...

$= x\left(x^2+x-4x-4\right)\\=x \left[x\left(x+1\right)-4\left(x+1\right)\right]\\=\bold{x\left(x+1\right)\left(x-4\right)}$

So, the only way the function $f(x)$ can be $0$ is if:

either $x=0$ , or
$\left(x+1\right)=0$ , or

$\left(x-4\right)=0$

<h3>Answer:</h3>

<em>C.</em> $\{-1,0,4\}$

5 0

3 years ago

Solve the system x+y=−5 2x+2y=−5

goldfiish [28.3K]

Answer:

Let's solve your system by substitution.

x+y=−5;2x+2y=−5

Step: Solvex+y=−5for x:

x+y=−5

x+y+−y=−5+−y(Add -y to both sides)

x=−y−5

Step: Substitute−y−5forxin2x+2y=−5:

2x+2y=−5

2(−y−5)+2y=−5

−10=−5(Simplify both sides of the equation)

−10+10=−5+10(Add 10 to both sides)

0=5

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Carmen earns 5% simple interest on an investment of $500 each year. A po

noname [10]

Answer:

ok at highlight_red%28+3%2Ax+%29-highlight_red%28+x+%29%2B2=4.

Eliminated similar terms highlight_red%28+3%2Ax+%29,highlight_red%28+-x+%29 replacing them with highlight_green%28+%283-1%29%2Ax+%29

It becomes highlight_green%28+%283-1%29%2Ax+%29%2B2=4.

Look at %28highlight_red%28+3+%29-highlight_red%28+1+%29%29%2Ax%2B2=4.

Added fractions or integers together

It becomes %28highlight_green%28+2+%29%29%2Ax%2B2=4.

Look at highlight_red%28+%28highlight_red%28+2+%29%29%2Ax+%29%2B2=4.

Remove unneeded parentheses around factor highlight_red%28+2+%29

It becomes highlight_green%28+2+%29%2Ax%2B2=4.

Look at 2%2Ax%2B2=highlight_red%28+4+%29.

Moved these terms to the left highlight_green%28+-4+%29

It becomes 2%2Ax%2B2-highlight_green%28+4+%29=0.

Look at 2%2Ax%2Bhighlight_red%28+2+%29-highlight_red%28+4+%29=0.

Added fractions or integers together

It becomes 2%2Ax%2Bhighlight_green%28+-2+%29=0.

Look at 2%2Ax%2Bhighlight_red%28+-2+%29=0.

Removed extra sign in front of -2

It becomes 2%2Ax-highlight_green%28+2+%29=0.

Look at highlight_red%28+2%2Ax-2+%29=0.

Solved linear equation highlight_red%28+2%2Ax-2=0+%29 equivalent to 2*x-2 =0

It becomes highlight_green%28+0+%29=0.

Result: 0=0

This is an equation! Solutions: x=1.

7 0

3 years ago

Simplify (s)(-3st)(-1/3)

yawa3891 [41]

<span>Simplify: (s)(-3st)(-1/3)
Steps-
= s * 3st1/3
= 3s^2t1/3
= 1*3s^2t / 3
= 32^2t / 3
= s^2t
The final answer is B) s^2t
Hope this helps!</span>

7 0

3 years ago

PLEASEE HELPP MEEEE!!!!!!!!! PLEASEE!!!!!!!!!!!!!!! what is the value of x?