more of my math lesson plz help guyssss

Given:

[tex]x^2+kx-98=0[/tex]

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 [tex]\alpha[/tex] and [tex]\beta[/tex].

According to the question,

[tex]\beta=2(-\alpha)[/tex]        (Additive inverse of [tex]\alpha[/tex] is [tex]-\alpha[/tex])

[tex]\beta=-2\alpha[/tex]

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

[tex]\alpha+\beta=-\dfrac{b}{a}[/tex]

[tex]\alpha\beta=\dfrac{c}{a}[/tex]

We have,

[tex]x^2+kx-98=0[/tex]

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

[tex]\alpha+\beta=-\dfrac{k}{1}[/tex]

[tex]\alpha-2\alpha=-k[/tex]           [tex][\because \beta=-2\alpha][/tex]

[tex]-\alpha=-k[/tex]

[tex]\alpha=k[/tex]           ...(i)

Now,

[tex]\alpha\beta=\dfrac{c}{a}[/tex]

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

[tex]-2\alpha^2=-98[/tex]

Divide both sides by -2.

[tex]\alpha^2=49[/tex]

Taking square root on both sides.

[tex]\alpha=\pm \sqrt{49}[/tex]

[tex]\alpha=\pm 7[/tex]

Using (i), we get

[tex]k=\pm 7[/tex]

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

Answer:

16 months

Step-by-step explanation:

40k-16.5k=23.5k. 23.5k/1450= A little bit more than 16 months.

Answer:

11/9

Step-by-step explanation:

Answer: 11/9

Step-by-step explanation:

The slope is found by the change in y over the change in x

(6-(-5))/(10-1)

Simplify:

11/9

Answer:

For every 2 boys in class, there is 1 girl in class

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

pick me as the brainlist

Answer:

B. The student multiplied 380 by [tex]\frac{19}{20}[/tex].

Step-by-step explanation:

In the equation -[tex]\frac{3}{4}[/tex]y - [tex]\frac{1}{5}[/tex]y = 380, we can further evaluate the equation into:

-[tex]\frac{19}{20}[/tex]y = 380

To find y, we need to multiply 380 by the inverse of the fraction on the other side, which is -[tex]\frac{20}{19}[/tex]. However, the students multiplied 380 by [tex]\frac{19}{20}[/tex] to get 361. Thus, this was the mistake.

Answer:

33  36 42 52 92

105

Step-by-step explanation:

Answer:55

Step-by-step explanation:

Answer:

2880

Step-by-step explanation:

The total number of people affected by flu during  the 2nd and 3rd week of January,  1200 + 1680  = 2880        

Answer

2880

Step-by-step explanation:

Answer:

The answer is (3-,5) watch is C cause if you do that but in math form it's the same

Answer:

48

Step-by-step explanation:

Answer:

im to lazy to do an equation

Step-by-step explanation:

Answer:

76.8%

Step-by-step explanation:

All you have to do is multiply the decimal by 100.

Answer:

76.8%

Step-by-step explanation:

I just did a thing and got the answer -v-

Answer in the picture below!

Answer:

The answer is A. y =32x + 15

Step-by-step explanation:

The reason behind this is the rate. The amount of money each month is the slope (m). The additional fee would be the b.

Reduce by cancelling the common factors.

(13)x−1=27 Convert the exponential equation to a logarithmic equation using the logarithm base (13) of the right side (27)  equals the exponent (x−1)log13(27)=x−1

Answer:

f(6)=-7

Step-by-step explanation:

Just plug in n=6 into the function:

f(n)=5-2n

f(6)=5-2(6)

f(6)=5-12

f(6)=-7

Therefore, the correct answer is f(6)=-7

Answer:

the answer is g=−12+ 30/n

​

Step-by-step explanation:

Answer:

y = -2x +3

Step-by-step explanation:

Parallel lines always have the same slope

To insert the point, use the slope intercept formula: y =mx+b

insert y (9)

insert x (-3)

insert the slope -2

9 = (-2)(-3) + b

9 = 6+b

subtract 6 from both sides

3 = b

Answer:

Step-by-step explanation:

Asymptotes 3

g(x) = [tex]\frac{3x}{x^2-3x-10}[/tex]

Factors of denominator will be,

x² - 3x - 10 = x² - 5x + 2x - 10

                 = x(x - 5) + 2(x - 5)

                 = (x + 2)(x - 5)

Therefore, factored form of g(x) will be,

g(x) = [tex]\frac{3x}{(x + 2)(x - 5)}[/tex]

Asymptotes 4

h(x) = [tex]\frac{(x-5)}{x^{2} + 14x + 40}[/tex]

      = [tex]\frac{x-5}{x^{2}+10x+4x+40}[/tex]

      = [tex]\frac{x-5}{x(x+10)+4(x+10)}[/tex]

      = [tex]\frac{x-5}{(x+10)(x+4)}[/tex]

Answer:

(-1,-2)

Step-by-step explanation:

D's original postion/location is at (1,-2)

You basically take the point D and keep your y coordinate, -2, the same /constant and change your x coordinate (flip the sign)

So keeping the y-coordinate constant, -2 changing positive 1 to negative 1

So.. D's location reflected on the y axis is (-1,-2)

*Let's Say: D was reflected on the x-axis you would do the opposite by keeping the x coordinate constant and flipping the y-coordinate sign (to positive)

So...

D's location reflected on the x-axis is (1,2)

Answer:

The first choice

Step-by-step explanation:

It says that its decreasing so the slope is negative.

It also starts of with 565 so that's the y intercept

Answer:

x=72/11

Step-by-step explanation:

Answer:

.10

x

2

+

11

x

y

−

6

y

2

Step-by-step explanation:

The Expression

=

(

2

x

+

3

y

)

(

5

x

−

2

y

)

=

2

x

(

5

x

−

2

y

)

+

3

y

(

5

x

−

2

y

)

=

10

x

2

−

4

x

y

+

15

x

y

−

6

y

2

=

10

x

2

+

11

x

y

−

6

y

2

.

Step-by-step explanation:

2πr^2h

2*22/7*6*6*3

2*22/7*36*3

2*22/7*108

Answer:

$15

Step-by-step explanation:

Given that :

Aunt's distance = 120 miles

Miles per gallon of Olivia's car = 24 miles per gallon

Cost of gasoline = 3 per gallon

Cost of gasoline for the trip :

(Aunt's distance / miles per gallon) * cost of gasoline per gallon

(120 miles / 24 miles per gallon) * 3

5 * 3 = $15

Cost of gasoline for the trip = $15

Answer:

y=-f(x)-3

Step-by-step explanation:

when f is negative it is reflected over the x-axis and -3 means to translate 3 units down

y = -f(x) – 3 describes the graphed function.

When f is negative it is reflected over the x-axis.

-3 means to translate 3 units down.

By using inspecting the inputs (x-coordinates) and outputs (y-coordinates), you could decide whether or no longer the relation is a function. Keep in mind, that this is a feature each input has only one output.

Learn more about graph functions here: https://brainly.com/question/4025726

#SPJ2

Answer:

ill assume you're asking the answer for 1 hour

Step-by-step explanation:

multiply each side by 4. then, 12/4(3)=1

so 3 square feet and hour

Answer:

y = 2

Step-by-step explanation:

Given

7y - (9 + 4y) = - 3 ← distribute parenthesis by - 1

7y - 9 - 4y = - 3 , that is

3y - 9 = - 3 ( add 9 to both sides )

3y = 6 ( divide both sides by 3 )

y = 2

Answer:

you are not a brainly bot

Step-by-step explanation: