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3 years ago

G(x) =15x classify the function

Mathematics

1 answer:

Yuliya22 [10]3 years ago

5 0

Answer: A linear function

Step-by-step explanation: Because it has x with degree one

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Find the value of k , if one of the two roots of the equation : x2 + k X – 98 = 0 is double

jenyasd209 [6]

Given:

$x^2+kx-98=0$

One of the two roots of the given equation is double the additive inverse of the other.

To find:

The value of k.

Solution:

Let two roots of the given equation are $\alpha$ and $\beta$ .

According to the question,

$\beta=2(-\alpha)$ (Additive inverse of $\alpha$ is $-\alpha$ )

$\beta=-2\alpha$

If $\alpha$ and $\beta$ are roots of the quadratic equation $ax^2+bx+c=0,$ then

$\alpha+\beta=-\dfrac{b}{a}$

$\alpha\beta=\dfrac{c}{a}$

We have,

$x^2+kx-98=0$

Here, a =1, b=k and c=-98.

$\alpha+\beta=-\dfrac{k}{1}$

$\alpha-2\alpha=-k$ $[\because \beta=-2\alpha]$

$-\alpha=-k$

$\alpha=k$ ...(i)

Now,

$\alpha\beta=\dfrac{c}{a}$

$\alpha(-2\alpha)=\dfrac{-98}{1}$ $[\because \beta=-2\alpha]$

$-2\alpha^2=-98$

Divide both sides by -2.

$\alpha^2=49$

Taking square root on both sides.

$\alpha=\pm \sqrt{49}$

$\alpha=\pm 7$

Using (i), we get

$k=\pm 7$

Therefore, the value of k is either -1 or 1.

6 0

3 years ago

I need to find the answer to number 2

8_murik_8 [283]

Answer:

Step-by-step explanation:

Just PLug in the Values, and solve using PEMDAS.

7 0

3 years ago

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Jayson takes a total of 5 hours of swimming lessons per week.if each lesson is 5/6 of an hour how many lessons does he take per

IRINA_888 [86]

5/1 / 5/6 = 5/1 x 6/5 = 6

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4 years ago

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You are certain to get a heart, diamond, club, or spade when selecting cards from a shuffled deck. Express the indicated degree

kondaur [170]

Answer:

The probability of this event is represented by a value of 1.

Step-by-step explanation:

Probability of a certain event:

The probability of an event that is considered to be certain, that is, guaranteed to happen, is 100% = 1.

You are certain to get a heart, diamond, club, or spade when selecting cards from a shuffled deck.

This means that the probability of this event is represented by a value of 1.

4 0

3 years ago

What is the to this question 5x+7x=72

Anastaziya [24]

Answer:

x=6

Step-by-step explanation:

Combine like terms, 5x and 7x

12x=72

Isolate the variable by dividing by 12

x=6

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3 years ago