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Tresset [83]
3 years ago
10

Write the quadratic equation whose roots are 6 and -2, and whose leading coefficient is 4,

Mathematics
2 answers:
Zinaida [17]3 years ago
8 0

Answer:

4x^2 - 16x - 48 = 0.

Step-by-step explanation:

In a factor form it is:

4(x + 2)(x - 6) = 0

Convert to standard form:

4(x^2 - 4x - 12) = 0

4x^2 - 16x - 48 = 0.

topjm [15]3 years ago
8 0

Answer:

.,mkglhrtjkhkoj5oyo5ktj4o5yj4op5yj4w'

Step-by-step explanation:

GET SMARTER NOT HARDER MS.

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Fraction for dividing 4 pies equally between 6 people
spin [16.1K]
The answer is 1 1/2 because if you divide 4 into 6 you get I need and a half or 1.5
3 0
3 years ago
What is the zero in the quadratic function f(x)= 9x^2-54x-19?
Alex17521 [72]

Answer:

6.33... and 0.333...

Step-by-step explanation:

The quadratic formula is


x=\frac{-b+\sqrt{b^2-4ac} }{2a}.


It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions.  Using the formula will require less work than finding the factors if factorable. We will substitute a=9, b=-54 and c=-19.

x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-54)+/-\sqrt{(-54)^2-4(9)(-19)} }{2(9)}\\x=\frac{54+/-\sqrt{2916+684} }{18}

We will now solve for the plus and the minus.

The plus,,,

x=\frac{54+\sqrt{3600}}{18}\\x=\frac{54+60}{18}\\x=\frac{114}{18}\\x=6.3

and the minus...

x=\frac{54-\sqrt{3600}}{18}\\x=\frac{54-60}{18}\\x=\frac{-6}{18}\\x=-0.333...

8 0
3 years ago
The Martinez family went to the movies and paid $60 for two adult tickets and three children’s tickets. The Wright family consis
Pepsi [2]

Answer:

a = $13.5

Step-by-step explanation:

Let a = adult tickets

Let c = children tickets

Translating the word problem into an algebraic equation;

<u>For the Martinez family;</u>

2a + 3c = $60

<u>For the Wright family;</u>

3a + 5c = $95.5

Thus, the simultaneous equations are;

2a + 3c = $60 ..........equation 1

3a + 5c = $95.5 .........equation 2

We would use substitution method to solve;

From equation 2, we make a the subject of formula;

3a = 95.5 - 5c

a = (95.5 - 5c)/3

<em>Substituting the value of "a" into equation 1, we have;</em>

2[(95.5-5c)/3] + 3c = 60

Multiplying all through by 3;

2(95.5 - 5c) + 9c = 180

191 - 10c + 9c = 180

191 - c = 180

c = 191-180

c = $11

To find the value of a;

2a +3c = 60

<em>Substituting the value of "c" into the equation, we have;</em>

2a + 3(11) = 60

2a + 33 = 60

2a = 60 - 33

2a = 27

a = \frac{27}{2}

a = $13.5

<em>Therefore, the cost of an adult movie ticket is $13.5. </em>

5 0
2 years ago
A sweater that cost $63 and are sold for $54​
Alik [6]

Answer:

not sure what the question is but here are some possible answers

Step-by-step explanation:

cost 63 - sell price 54 = 9 dollars lost per sweater sold

percentage of lose per sweater would be 14%

3 0
3 years ago
Every day annabelle takes the train to work, she uses an app to charge the parking fee shown to her credit card. What will be he
anastassius [24]

Answer:

B - 10c

Step-by-step explanation:

Let B be the initial balance

And c be the cost of each trip

Her balance would be:

B - 10c

3 0
3 years ago
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