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Arada [10]
2 years ago
8

Alessandro wrote the quadratic equation –6 = x2 + 4x – 1 in standard form. What is the value of c in his new equation?

Mathematics
2 answers:
garri49 [273]2 years ago
8 0
X^2+4x-1+6=0
x^2+4x+5=0
c=5
c is 5
mafiozo [28]2 years ago
8 0

Answer:

The value of c is 5


Step-by-step explanation:

we know that

The standard form of the quadratic equation is equal to

ax^{2} +bx+c=0

In this problem we have

-6=x^{2}+4x-1

Convert to standard form

Equate the quadratic equation to zero

x^{2}+4x-1+6=0

x^{2}+4x+5=0

so


a=1\\b=4\\c=5



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How many liters of wine can be held in a wine barrel whose capacity is 28.0 gal? 1 gal = 4 qt = 3.7854 l?
wel

Answer:

105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

Let x be the liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

Given that:

1 gal = 3.7854 l

then

by definition of proportions;

\frac{1}{3.7854} =\frac{28}{x}

By cross multiply we get;

x = 28 \times 3.7854 = 105.9912 liters

Therefore, 105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

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2 years ago
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There are a total of 9 dogs
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Ramesh examined the pattern in the table. Powers of 7 Value 2,401 343 49 7 1 Ramesh says that based on the pattern . Which state
earnstyle [38]

1) You included neihter what Ramesh says nor the statements, then I can you tell some facts about the pattern.


2) The sequence is: 2401, 343, 49, 7, and 1.


3) The first term is 2401


4) The sequence is a decreasing geometric one.


5) The ratio is found dividing two consecutive terms (the second by the first, or the third by the second, or the fourth by the third, or the fifth by fourth):


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So, the ratio is 1/7


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Suppose that the universal set is U={1,2,3,4,5,6,7,8,9,10}. Express each of the following subsets with bit strings (of length 10
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Answer:

0011100000

1010010001

0111001110

Step-by-step explanation:

As the question is not complete, Here is the complete question.

Suppose that the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Express each of these sets with bit strings where the ith bit in the string is 1 if i is in the set and 0 otherwise.

a) {3, 4, 5}

b) {1, 3, 6, 10}

c) {2, 3, 4, 7, 8, 9}.

So, we need to express a) b) and c) into bit strings.

Firstly, number of elements in the universal set represent the number of bits in the bit string.

Secondly, 1 = yes element is present in both universal set as well as in sub set.

0 = No, element is not present in sub set but present in universal set.

Hence, we have:

a) Sub set {3,4,5} = 0011100000  (As there are 3 1's which means only 3,4,5 are present in both universal set and subset.

Similarly,

b) Sub set {1, 3, 6, 10} = 1010010001

c) Sub set {2, 3, 4, 7, 8, 9} = 0111001110

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It is B 134,58 cm^2 i believe

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