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Lelu [443]
3 years ago
12

Find ( f - g)(x). f (x) = -2x2 - 2x - 3 and g(x) = 3x2 - 4x - 4

Mathematics
1 answer:
Kruka [31]3 years ago
3 0

Answer:

\large\boxed{(f-g)(x)=-5x^2+2x+1}

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)\\\\\text{We have}\ f(x)=-2x^2-2x-3\ \text{and}\ g(x)=3x^2-4x-4.\\\\\text{Substitute:}\\\\(f-g)(x)=(-2x^2-2x-3)-(3x^2-4x-4)\\\\(f-g)(x)=-2x^2-2x-3-3x^2+4x+4\qquad\text{combine like terms}\\\\(f-g)(x)=(-2x^2-3x^2)+(-2x+4x)+(-3+4)\\\\(f-g)(x)=-5x^2+2x+1

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Solve the system using substitution x+5y=0 3y+2x=-21
Crazy boy [7]

Answer:

\left \{ {{x = -15} \atop {y=3}} \right.

Step-by-step explanation:

\left \{ {{x + 5y = 0} (1) \atop {3y + 2x = -21}(2)} \right.  \left \{ {{x = -5y} \atop {3y + 2x = -21}} \right.    \left \{ {{x = -5y} \atop {3y + 2*(-5y) = -21}} \right.  \left \{ {{x = -5y} \atop {3y - 10y = -21}} \right. \\ \left \{ {{x = -5y } \atop {-7y = -21}} \right.  \left \{ {{x = -5y} \atop {y= 3 }} \right.  \left \{ {{x = -5 * 3} \atop {y=3}} \right.=> \left \{ {{x=-15} \atop {y=3}} \right.

5 0
2 years ago
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Due in 15 please help!!!
Deffense [45]

Answer:

Step-by-step explanation:

its true

4 0
2 years ago
What is the sum of (2+4i) and (7+11i)
Romashka [77]
Add like terms
2+4i +7 +11 i =
2+7 + 4i+11i =
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3 0
3 years ago
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Assume that the total revenue received from the sale of x items is given​ by, ​R(x)equals34 ln (4 x plus 5 )​, while the total c
katen-ka-za [31]

Answer:

63 units

Step-by-step explanation:

The profit function P(x) is given by the revenue function minus the cost function:

P(x) = R(x) - C(x)\\P(x) = 34ln(x+5)-\frac{x}{2}

The number of units sold 'x' for which the derivate of the profit function is zero, is the number of units that maximizes profit:

P(x) = 34ln(x+5)-\frac{x}{2}\\P'(x) =0= \frac{34}{x+5}-\frac{1}{2}\\x+5=68\\x=63\ units

The number of units that should be manufactured so that​ profit is maximum is 63 units.

5 0
3 years ago
Will give brainliest
lianna [129]

Answer:

40⁰

Step-by-step explanation:

<em><u>Main</u></em><em><u> </u></em><em><u>principles</u></em><em><u>:</u></em>

1.Alternate angles equal

2.Vertically opposite angles are equal

If angle 2 is 40⁰, then using the second principle,angle 3 is also 40⁰

Then, using the first principle,(alternate angles/angles that form any variation of "z"), angle 6 is also 40⁰.

There are other ways to do this like using co-interior angles, straight angles and other methods, these are the easiest to understand

6 0
2 years ago
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