-0.4w = 4.2 what is this????

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

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.

Result, Rachel can be certain that the temperature is suitable for her cake.

Rachel cannot be certain that the temperature displayed on the oven is suitable for cooking her cake.

The manufacturer's claim of a 5% error on the displayed temperature means that the actual oven temperature can be off by 5% in either direction. To calculate the range of possible actual temperatures, we need to find 5% of 310°C. 5% of 310 = (5/100) * 310 = 15.5°C This means that the oven temperature could be 15.5°C higher or 15.5°C lower than the displayed temperature.

To find the maximum possible temperature, we add the error to the displayed temperature: 310°C + 15.5°C = 325.5°C Since the maximum possible temperature is slightly above 325°C, Rachel cannot be certain that the temperature is suitable for cooking her cake, as it needs to be cooked at a temperature below 325°C. It's important for Rachel to consider using an alternative thermometer or verifying the actual temperature with the oven manufacturer to ensure the cake is cooked at the desired temperature.

To know more about thermometer  visit:

https://brainly.com/question/16840415

#SPJ2

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:

Hope this helps!!! :)

Step-by-step explanation:

#1: if there is buy 1 get 1 free, then buy 6 get 3 free. so 2.8 times 3 = $8.4

#2: 4 for $3. break it up to 1 for $0.75. now 0.75 times 6 = $4.5

#3: the second one. $4.5 < $8.4

#4: 45 times 12 = $54

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

.

Answer:

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

Step-by-step explanation:

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:

Option B

Step-by-step explanation:

8 - 2x < 18

Subtract 8 from both sides;

-2x < 10

Divide both sides by -2

x > -5

Answer:

X > -5

it would be B.

open circle on -5 and the arrow point on the right. Because x can be any number greater than -5.

Step-by-step explanation:

8 - 2x < 18

- 2x < 18 - 8

-2x < 10

x > 10/-2

x > -5

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:

Answer:

the answer is e i think.

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:

3 inches

Step-by-step explanation:

If the dog chews off 4 inches every day, you first have to multiply the inches by the number of days, which in this case is 3 x 4, which equals 12. In 3 days, he chewed off 12 of the original 15 inches, leaving only 3 inches left.

Answer:

One

Step-by-step explanation:

When you count the units from one point to another, the answer is one. The units are one to the right then one up. 1/1

Step-by-step explanation:

slope =1

since the intercepted part of X_ axis and y_ axis are equal

so , the line make 45 angle with x_ axis

slope = tan O =1

Answer:

A. & B.

Step-by-step explanation:

General form is ax2 + bx + c = 0.

Must contain an x2 term

Must NOT contain terms with degrees higher than x2 eg. x3, x4 etc

Answer:

a and b, that's what the first guy said but i dont know I think hes right

Answer:

x=72/11

Step-by-step explanation:

Answer:

the anwers is the G

i hope this hepl you

Answer:

16 months

Step-by-step explanation:

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

Answer:

48

Step-by-step explanation:

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:

A

Step-by-step explanation:

Answer:

$5.91 for the t-shirt. $8.24 for the skirt

Step-by-step explanation:

It's correct don't worry. The problem is I cant explain but it's correct, also if you can please give brainliest

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:

x = 8

y = 3

Step-by-step explanation:

11x - 20y = 28

3x + 4y = 36

11x - 20y = 28

11x = 20y + 28

x = [tex]\frac{20}{11}[/tex]y + [tex]\frac{28}{11}[/tex]

3x + 4y = 36

3 ( [tex]\frac{20}{11}[/tex]y + [tex]\frac{28}{11}[/tex] ) + 4y = 36

[tex]\frac{104}{11}[/tex]y = [tex]\frac{312}{11}[/tex]

y = 3

x = [tex]\frac{20}{11}[/tex]y + [tex]\frac{28}{11}[/tex]

x = [tex]\frac{20}{11}[/tex] ( 3 ) + [tex]\frac{28}{11}[/tex]

x = 8

Two triangles, ABC and DEF, similar. <ABC = 101° and <BCA = 39°. Find the angle of FDE!

40°

The sum of all triangle angle is 180°

101 + 39 = 140°

180 - 140 = 40°

So, the angle of FDE is 40°

Subject : Math

Class : 7th Grade (Junior High School)

Chapter : -

Categorization Code : -

Keywords : Angle of a triangle

Answer:

5 Cubic Feet

Hope this helps.

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.