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Gwar [14]
3 years ago
13

What is the value of the expression below when a =−3, b =2, and c = −4 ?∣a2−2ac+5c? l

Mathematics
1 answer:
olchik [2.2K]3 years ago
3 0

Answer:

<em>Value</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>expression</em><em> </em><em>is</em><em> </em><em> </em><em>-35</em>

Step-by-step explanation:

Given \: expression \: is \\ {a}^{2}  - 2ac + 5c \\ values \: are \: a =  - 3 \:  \ \:  \:  \:  b = 2 \:  \:  \:  \: c =  - 4 \\ on \: substituting \: the \: values \ \\ in \: the \: given \: expression \\  { - 3}^{2}  - 2( - 3)( - 4) + 5( - 4) \\  = 9 - 24 - 20 \\    =  - 35

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

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Given that f(x) = x² + 3x 28 and g(x) = x + 7, find f(x) + g(x) and
ozzi

Answer:

f(x) + g(x) = x^2 + 4x + 35

Step-by-step explanation:

Add like terms from f(x) and g(x):

f(x) + g(x) = x^2 + 3x + 28 + x + 7, or

f(x) + g(x) = x^2 + 4x + 35

7 0
2 years ago
What is 22/9×.13 repeating?
astraxan [27]
0.31777777777. I am pretty sure. I used my calculator
4 0
3 years ago
The graph of f(x) is obtained by reflecting the graph of g(x)=3|x| over the x-axis.
Alinara [238K]

Answer:

Choice B), f(x) = -3|x|.

Step-by-step explanation:

Each point on the graph of g(x) can be represented as (x, g(x)).

When the graph of g(x) is reflected over the x-axis, each point on the graph is also reflected over the x-axis. The x-coordinate of each point will not change but the sign in front of the y-coordinate will flip. For example, 1 (same as +1) will become -1, and vice versa. In general, (x, g(x)) will become (x, -g(x)).

On the other hand, points on the graph of f(x) can be represented as (x, f(x)). f(x) is the reflection of g(x), so (x, -g(x)) and (x, f(x)) shall be equivalent. In other words,

f(x) = -g(x) = - 3|x|.

5 0
3 years ago
A university is trying to determine what price to charge for tickets to football games. At a price of ​$ per​ ticket, attendance
Anika [276]

This question is incomplete, the complete question is;

A university is trying to determine what price to charge for tickets to football games. At a price of ​$24 per​ ticket, attendance averages 40,000 people per game. Every decrease of ​$4 adds 10,000 people to the average number. Every person at the game spends an average of ​$4 on concessions. What price per ticket should be charged in order to maximize​ revenue? How many people will attend at that​ price?

Answer:

a) price per ticket = $18

b) 55,000 will attend at that price

Step-by-step explanation:

Given that;

price of ticket = $24

so cost of ticket = 24 - x

every decrease of $4 adds 10,000 people

for $1 adds 2,500 people

Total people = 40000 + 2500x

Revenue function = people × cost + people × 4

so

R(x) = (40000 + 2500x)(24 - x) + (40000 + 2500x)4

R(x) = 960,000 - 40000x + 60000x - 2500x² + 160,000 + 10000x

R(x) = 1120000 + 30000x - 2500x²

R(x) = -2500x² + 30000x + 1120000

now for maximum revenue; R'(x) is to zero

so

R'(x) = d/dx(  -2500x² + 30000x + 1120000 ) = 0

⇒ -5000x + 30000 + 0 = 0

⇒ -5000x + 30000 = 0

⇒ 5000x = 30000

x = 30000 / 5000

x = 6

R'(X) = -5000 < 0 ⇒ MAXIMUM

∴ Revenue is maximum at x = 6

so cost of ticket ;

price per ticket = (24 - x) = 24 - 6 = $18

so price per ticket = $18

Number of people = 40000 + 2500x

= 40000 + (2500 × 6)

= 40000 + 15,000

= 55,000

Therefore, 55,000 will attend at that price

8 0
2 years ago
If 5 pounds of broccoli costs $12.00 then how much will 7 pounds of broccoli cost
kondaur [170]
Each pound costs 2.40, 
to check this 2.40 * 5 = 12
so 2.40 * 7 = 16.80

Answer: 16.80
8 0
3 years ago
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