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2 years ago

HELP 20 POINTS!!!

Mathematics

2 answers:

Andrew [12]2 years ago

5 0

The discriminant of equation ax^2+bx+c = 0 is b^2-4ac.

Here b = 12, a = -4, c = -9 so discriminatn is

b^2-4ac = 12^2-4(-4)(-9) = 144 - 144 = 0.

The discrimant is 0. This tells us that there is only 1 x-intercept for this quadratic

Lostsunrise [7]2 years ago

3 0

The discriminant is 0! :))

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2 years ago

What is the range of the relation? {(1, 2), (2, 4), (3, 2), (4, 6)} A.{2, 4} B.{1, 2, 3, 4, 6} C.{2, 4, 6} D.{1, 2, 3, 4}

tamaranim1 [39]

$(1)\ \ \ \ range:\ \ \ \{2, 4, 6\}\ \ \ \Rightarrow\ \ \ Ans.\ C\\\\(2)\ \ \ function:\ \ \ \{(1, 2); (2, 2); (3, 2); (4, 2)\}\ \ \ \Rightarrow\ \ \ Ans.\ D\\\\(3)\ \ \ f(4)=2-3\cdot4=2-12=-10\ \ \ \Rightarrow\ \ \ Ans.\ C\\\\(4)\ \ \ direct:\ \ \ y=ax\ \ \ \Rightarrow\ \ \ y= \frac{1}{3} x\ \ \ \Rightarrow\ \ \ Ans.\ B\\\\(5)\ \ \ f(x)=ax\ \ \ and\ \ \ f(4)=12\\.\ \ \ \ \ \Rightarrow\ \ \ 12=a\cdot4\ \ \ \Rightarrow\ \ \ a=3\ \ \ \Rightarrow\ \ \ f(x)=3x\ \ \ \Rightarrow\ \ \ Ans.\ (?)\\\\$

$(6)\ \ \ f(x)=ax^2\ \ \ and\ \ \ f(2)=48\\.\ \ \ \Rightarrow\ \ 48=a\cdot2^2\ \ \Rightarrow\ \ a=48:4=12\ \ \Rightarrow\ \ f(x)=12x^2\ \Rightarrow\ \ Ans.\ C\\\\(7)\ \ \ inversely:\ \ \ f(x)= \frac{a}{x} \ \ \ and\ \ \ f(2)=4\\.\ \ \ \Rightarrow\ \ \ 4= \frac{a}{2} \ \ \ \Rightarrow\ \ \ a=4\cdot2=8\ \ \ \Rightarrow\ \ \ y= \frac{8}{x}\ \ \ \Rightarrow\ \ \ Ans.\ B$

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2 years ago

How many factors does the following term have? 2xy

egoroff_w [7]

Answer:

4 factors.

Explanation:

Factors are numbers that if they are divided, then they would be divisible. We can see that the term is multiplied with 3 terms. Hence, they are definitely factors of that term. However, there is one more factor that is divisible by 2xy. The number 1 is divisible by 2xy. Hence, the factors of this term is 2, x, y, and 1.

Hoped this helped.

$BrainiacUser1357$

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1 year ago

Please write a equation for this table

Hitman42 [59]

Answer:

y = 5x +2

Step-by-step explanation:

The point (0, 2) tells us the y-intercept is 2.

If we translate the table down 2 units by subtracting 2 from every y-value, it becomes ...

6, 30

-2, -10

0, 0

10, 50

We notice these values are all related by a factor of 5 (they are proportional). That means the equation will be a straight line with slope 5 and y-intercept 2.

y = 5x +2

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1 year ago