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RoseWind [281]
3 years ago
8

Select the correct answer. What are the solutions of this quadratic equation? -3x2 + 1 = 3x − 2

Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0

Answer: Answer:

x

=

−

1

2

+

−

1

2

5

or

x

=

−

1

2

+

1

2

5

Step-by-step explanation:

Let's solve your equation step-by-step.

−

3

x

2

+

1

=

3

x

−

2

Step 1: Subtract 3x-2 from both sides.

−

3

x

2

+

1

−

(

3

x

−

2

)

=

3

x

−

2

−

(

3

x

−

2

)

−

3

x

2

−

3

x

+

3

=

0

Step 2: Use quadratic formula with a=-3, b=-3, c=3.

x

=

−

b

±

b

2

−

4

a

c

2

a

x

=

−

(

−

3

)

±

(

−

3

)

2

−

4

(

−

3

)

(

3

)

2

(

−

3

)

x

=

3

±

45

−

6

x

=

−

1

2

+

−

1

2

5

or

x

=

−

1

2

+

1

2

5

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4 0
4 years ago
What is 6(4p - 2) + 2 (5p + 2)
Brrunno [24]

Answer:

34p -8

Step-by-step explanation:

6 (4p- 2) + 2 (5p + 2)

24p - 12 + 2 (5p +2)

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4 0
3 years ago
Tell whether this function is quadratic. {(10, 50), (11, 71), (12, 94), (13, 119), (14, 146)} .
irga5000 [103]

When we have consecutive values, f(10), f(11), f(12), f(13), f(14), we can make a difference table to determine the degree of f as a polynomial.  A quadratic will have a constant second difference:

x         10  11    12    13   14

f(x)       50 71  94  119  146

1st diff    21   23  25  27

2nd diff      2    2    2

We got a constant second difference, so f is a polynomial of degree two.

Answer: This function is quadratic

6 0
4 years ago
6) A demand curve for a product is the number of items the consumer will buy at different prices. At a price of $2 a store can s
ExtremeBDS [4]

Given :

When price is $2 dollars he sells 2400 units .

When price is $8 dollars he sells 600 units .

To Find :

If x represents the price of trucks and y the number of items sold, write an equation for the demand curve.

Solution :

Two points are given :

(x_1,y_1)=(2,2400)

(x_2,y_2)=(8,600)

Now , slope is given by :

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{2400-600}{2-8}\\\\m=\dfrac{-1800}{6}\\\\m=-300

Now , the equation of line containing these two points and slope -300 is :

(y-y_1)=m(x-x_1)\\\\y-600=-300(x-8)\\\\y=-300x+2400+600\\\\y=-300x+3000

Therefore , equation for the demand curve is y = -300x +3000 .

Hence , this is the required solution .

4 0
3 years ago
- (A) The following data was received from the Student Affairs Unit of the University
ladessa [460]

Answer: i) 30 students for chemistry

ii) 21 students for only one subject

iii) 61 students

Step-by-step explanation: from the question we got 30 students registered for chemistry. number students only for biology = (27-18) = 9

number of students only for chemistry = (30-18) = 12

number of student registered for only one subject = (12+9)= 21

number of students registered for neither two subjects = {100-(9+12+18)} = 61

5 0
4 years ago
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