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Law Incorporation [45]
3 years ago
15

What is the discriminant in the quadratic equation x2 + 11x + 121 = x + 96?      A. 0 B. 100 C. 20 D. 200

Mathematics
2 answers:
Marizza181 [45]3 years ago
8 0
X² + 11x + 121 = x + 96

x² + 11x - x + 121 - 96 = 0

x² + 10x + 25 = 0.  Compare to ax² + bx + c = 0.

a = 1, b = 10, c = 25.

Discriminant, Δ = (b² - 4ac)

=  (10² - 4*1*25)

= (100 - 100)

= 0.

Discriminant = 0

Option A.
Maurinko [17]3 years ago
7 0
Given:
x² + 11x + 121 = x + 96

First, we need to convert it into a quadratic equation.

x² + 11x - x + 121 - 96 = 0
x² + 10x + 25 = 0

a = 1 ; b = 10 ; c = 25

Quadratic formula:

x = (-b <u>+</u> (√b² - 4ac)) ÷ 2a

The discriminant is under the radical sign

discriminant ⇒ b² - 4ac ⇒ 10² - 4(1)(25) ⇒ 100 - 100 = 0

Correct answer is A. 0
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natulia [17]

Answer:

To find Felicity's hourly rate you first want to find out how many hours she has babysat altogether. In order to do this we need to take 2*10=20

With that 20 we can divide it by 180 to find her hourly rate

180/20= 9

So she makes $9 an hour

Step-by-step explanation:

7 0
3 years ago
Question:-
Reika [66]

{\huge \underline{{ \fbox \color{red}{A}}{\fbox \color{green}{n}}{\fbox \color{purple}{s}}{\fbox \color{brown}{w}}{\fbox \color{yellow}{e}}{\fbox \color{gray}{r } }}}

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \bf \red{ \dfrac{1}{2} +  \dfrac{1}{4} =  \dfrac{3}{4}   }

Step by step explanation :-

The only thing you have to do is add the numerator to the denominator, in this case you have to add the first ones from the front, which can be these 2+1/4, which would result in 3/4, and this is called the Commutative Property.

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \boxed{  \bf \gray{ \dfrac{1}{2} +  \dfrac{1}{4}  =  \dfrac{1}{4} +  \dfrac{1}{2}   }}

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \boxed{ \bf \green{\dfrac{2 + 1}{4}  =  \dfrac{1 + 2}{4} }}

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \boxed {\bf \blue{\dfrac{3}{4}  =  \dfrac{3}{4}} }

Answer :- The answer is 3/4

¿What is commutative property?

It is to change different ways in order of the addends the result would be the same.

Example :-

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \boxed {\bf \blue{\dfrac{a}{b} + \dfrac{c}{d}} = {\dfrac{c}{d}  + \dfrac{a}{b}} }

I hope I've helped : )

5 0
2 years ago
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Which variable is most important to the following problem?
Ksenya-84 [330]

Answer:

B.) the number of tents the army orders

Step-by-step explanation:

The word problem does not speak of any prices or tent sizes so it cant be A or C

4 0
2 years ago
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At the local pet store, zebra fish cost $2.00 each and neon tetras cost $2.15 each. If Ernesto bought 15 fish for a total cost o
bezimeni [28]
So first create and define your variables:
Z = amount of zebra fish
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Now create your equations:
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This is your system. There are multiple methods to use but in this problem I’ll use the substitution method by simplifying the bottom equation.
2z+2.15n=31.20
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Now I’ll plug the bottom equation into the top one.
2(15-n)+2.15n=31.20
And just solve from here.
30-2n+2.15n=31.20
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6 0
3 years ago
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2y + 4 + 5y + 8=
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3 years ago
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