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Vlada [557]
2 years ago
7

What is the discriminant of the quadratic equation 3 – 4x = –6x2? –68 –56 76 88

Mathematics
1 answer:
Ulleksa [173]2 years ago
8 0

Answer:

- 56

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then the discriminant Δ = b² - 4ac

Given

3 - 4x = - 6x² ( add 6x² to both sides )

6x² - 4x + 3 = 0 ← in standard form

with a = 6, b = - 4 and c = 3, thus

b² - 4ac

= (- 4)² - (4 × 6 × 3) = 16 - 72 = - 56

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After placing an equation into his calculator Rob got the following table. He then determine that X=6 when f (x) = -4 is he corr
icang [17]

Answer:

No, unless the function decides to follow a different pattern. See more explanation below.

Step-by-step explanation:

He is wrong, the table doesn't tell us what happens at x=6.

It does tell us the following:

1) When x=-4, f(x)=6.

2) When x=-2, f(x)=3.

3) When x=0, f(x)=-1.

4) When x=2, f(x)=-4.

So maybe he got it the x and f(x) value switched in his brain.

Because according to 1) x=-4 when f(x)=6.

If the points keep having x increase while y decreases, then every x>2 will have a y less than -4 correspond to it.

4 0
2 years ago
A jar contains 27 marbles. There are 4 blue marbles and the rest are red. If a marble is chosen at random, what is the likelihoo
ikadub [295]

Answer:

23/27

Step-by-step explanation:

27-4=23

8 0
2 years ago
A small dealership leased 21 Suburu Outbacks on 2-year leases. When the cars were returned at the end of the lease, the mileage
Liula [17]

Answer:

yes 30 is the answer

Step-by-step explanation:

4 0
2 years ago
200 students attend a school which offers French and History. 10% of those who take History also take French and 4 times as many
SIZIF [17.4K]

Answer:   P(hist& french)=16/200=0.08

Step-by-step explanation:

To find the required probability we have to know what is the number of students that take both History and French ( Intersection of 2 circles in Venn diagram)

1. Lets find the number of students that take History or French or both.

We know that 8% from 200 take neither History or French. So number or students who take History or French or both is 200-200*0.08=184

2. Let number of students that takes French (or both Fr+Hist)=x (left circle)

So number of students that takes History (or both Fr+Hist)=4x (right circle)

So number of students that take both French+History= 10% from 4x or

0.1*4x=0.4x (circles'  intersection)

3. Now we have the equation as follows:

x+4*x-0.4*x = 184

4.6*x=184

x=40 students takes French (or both French+ History)

4*x= 40*4=160 students takes History (or both French+ History)

10% from 160 =0.1*160=16 students takes both History and French

P(hist& french)=16/200=0.08

7 0
2 years ago
Consider the following regression model: Humidity = β0 + β1Temperature + β2Spring + β3Summer + β4Fall + β5Rain + ε, where the du
FinnZ [79.3K]

Answer:

The regression equation for the winter rainy days is "Humidity = (β0 + β5) + β1Temperature".

Step-by-step explanation:

Given:

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Since there can be only one of spring, summer,fall, and winter at a point in time or in a season, we will have the following when there are winter rainy days:

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Substituting all the relevant values into equation (1) and equating ε also to 0, a reduced form of equation (1) can be obtained as follows:

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Humidity = β0 + β1Temperature + 0 + 0 + 0 + β5 + 0

Humidity = (β0 + β5) + β1Temperature

Therefore, the regression equation for the winter rainy days is "Humidity = (β0 + β5) + β1Temperature".

3 0
2 years ago
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