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borishaifa [10]
3 years ago
15

F(x) = 5x^2 + 9x – 4 g(x) = – 8x^2 – 3x – 4 Find (f + g)(x).

Mathematics
1 answer:
svp [43]3 years ago
3 0

Answer:

(f + g)(x) = – 3x^2 + 5x - 8

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

= 5x^2 + 9x – 4 + (– 8x^2 – 3x – 4)

= 5x^2 + 9x – 4 – 8x^2 – 3x – 4

Combine

= – 3x^2 + 5x - 8

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A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are
FrozenT [24]

Answer:

15 possible combinations

Step-by-step explanation:

Given

Vegetables = 6

Selection = 2

Required

Determine the possible number of combinations

The question emphasizes on "selection" which means "combination".

So; To answer this question, we apply the following combination formula:

^nC_r = \frac{n!}{(n-r)r!}

In this case:

n = 6

r = 2

The formula becomes:

^6C_2 = \frac{6!}{(6-2)!2!}

^6C_2 = \frac{6!}{4!2!}

^6C_2 = \frac{6*5*4!}{4!2*1}

^6C_2 = \frac{6*5}{2}

^6C_2 = \frac{30}{2}

^6C_2 = 15

<em>Hence, there are 15 possible combinations</em>

7 0
3 years ago
Find the volume of a pyramid with a square base, where the side length of the base is
ValentinkaMS [17]

Answer:

<h2>1529.4 m³</h2>

Step-by-step explanation:

Volume of a pyramid can be found by using the formula

v =  \frac{1}{3}  \times a \times h \\

a is the area of the base

h is the height

Since the base is a square we have

v =  \frac{1}{3}  \times  {15.3}^{2}  \times 19.6 \\  = 78.03 \times 19.6 \\  = 1529.388

We have the final answer as

<h3>1529.4 m³</h3>

Hope this helps you

3 0
3 years ago
When a graphed line is vertical, it indicates that the relation is ?​
GuDViN [60]

Answer:When a vertical line is placed across the plot of this relation, it intersects the graph more than once for some values of x. If a graph shows two or more intersections with a vertical line, then an input (x-coordinate) can have more than one output (y-coordinate), and y is not a function of x.

Step-by-step explanation:

6 0
3 years ago
1/3x-2=16 solve the equation
Anni [7]
Answer: x= 1/54
Explained: easy mental math :p
6 0
3 years ago
Read 2 more answers
Colin pays £766.45 a year on his car insurance.
Firlakuza [10]

Answer:

£807.8383

Step-by-step explanation:

100 plus 5.4= 1.054%

1.054 x £766.45=£807.8383

7 0
3 years ago
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