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Orlov [11]
3 years ago
15

What values of c makes the polynomial a perfect square? x^2+16x+c

Mathematics
1 answer:
katovenus [111]3 years ago
5 0
For
ax^2+bx+c=
and a=1

b/2 squared=c makes a perfect square

b=16
16/2=8
8^2=64

the value of c should be 64

factored form
(x+8)^2
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Select the expression that represents the simplified difference.
Setler79 [48]

The simplified expression for the given function is 2x + 4 - ( 1 / x-1). The correct option is A.

<h3>What is an expression?</h3>

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the functions are f(x) = x + 2 and h(x) = 1 / x-1. The value of the function 2f(x) – h(x) will be calculated as,

E = 2f(x) – h(x)

E =  2( x + 2 ) - ( 1 / x-1)

E = 2x + 4 - (1/x-1)

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brainly.com/question/29008655

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8 0
1 year ago
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Which expression is equivalent to −4(2x − 8)−2x ?
Vesnalui [34]
C. -10x+32

Explanation: Solve the problem
( -4(2x-8)-2x )
5 0
2 years ago
a small plane lands at a point 324 miles east and 92 miles north of the point at which it took off. Find the distance the plane
Setler79 [48]

Answer: 336.80 miles, 15.85^{\circ} North of east

Step-by-step explanation:

Given

Plane lands at a point 324 miles east and 92 miles north

Distance is given by using Pythagoras theorem

\Rightarrow d=\sqrt{324^2+92^2}\\\\\Rightarrow d=\sqrt{113,440}\\\\\Rightarrow d=336.80\ \text{miles}

Direction is given by using figure i.e.

\Rightarrow \tan \theta=\dfrac{92}{324}\\\\\Rightarrow \tan \theta=0.2839\\\\\Rightarrow \theta=15.85^{\circ}

Direction is 15.85^{\circ} North of east

7 0
3 years ago
The graph below shows the distance, y, in miles, of a bee from its hive, for a certain amount of time, x, in minutes:Based on th
zhannawk [14.2K]

Answer:

C. 4 miles; it represents the original distance of the bee from its hive

Step-by-step explanation:

We are given,

The graph showing the distance between a bee hive for a certain amount of time.

Now, from the graph, we see that,

When the time is 0 mins, then the distance from the bee hive is 4 miles.

<em>Thus, the initial value of the graph is 4 miles and it represents the original distance of the bee hive from the hive.</em>

So, option C is correct.

3 0
3 years ago
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The aquarium charges an entrance fee of $5 per child and $12 per adult. On one day, 100 people visited the aquarium. They collec
igor_vitrenko [27]

Answer:

We set up 2 equations

A) C + A = 100

B) 5C + 12A = 780

We multiply A by -5

A) -5C -5A = -500   then we add B

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Number of Adults = 40

5C = 780 - 40*12

5C = 780 -480

5C = 300

Number of Children = 60

Step-by-step explanation:

6 0
3 years ago
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