The difference of a number and 8 is 46 less the number. Find the number ​

Answer:

yes

Step-by-step explanation:

Answer:

(o,7) vertical intercept

minimum (1/2 , 13/2)

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:

-4x+5

Step-by-step explanation:

-(4x-2) change sign of each in parenthesis so they are now -4+2

now you have -4x+2+3 add like terms

now you have -4x+5

[tex]\sf \longmapsto−4x+2+3[/tex]

[tex]\sf \longmapsto−4x+2+3[/tex]

[tex]\sf \longmapsto(−4x)+(2+3)[/tex]

[tex]\sf \longmapsto−4x+5[/tex]

Answer:

Shannon run 1.5 km more on Friday than on Saturday.

Step-by-step explanation:

From the given table

i.e.

Friday run - Saturday run =  2 - 0.5

                                          = 1.5 km

Thus, Shannon run 1.5 km more on Friday than on Saturday.

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-

9514 1404 393

Answer:

  ? = 95°

Step-by-step explanation:

Long arc QR is twice the measure of inscribed angle QSR, so is 2×95° = 190°. That, together with the remaining short arcs ? and RS will make up the total circle of 360°.

  arc QR + arc RS + ? = 360°

  190° +75° +? = 360°

  ? = 360° -265° . . . . . . subtract 265° from both sides

  ? = 95°

Answer:

x=72/11

Step-by-step explanation:

Answer:

8 nickels=.40

15 dimes=1.50

The number of dimes is 15 and the number of nickels is 8.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A container has 23 coins comprising dimes and nickels. The aggregate sum of cash is $1.90.

Let d be the number of dimes and n be the number of nickels. Then the equation is given as,

d + n = 23                           ...1

0.1d + 0.05n = 1.90            ...2

From equations 1 and 2, then we have

0.1(23 - n) + 0.05n = 1.90

2.3 - 0.1n + 0.05n = 1.9

0.05n = 0.4

n = 8

Then the number of dimes is given as,

d + 8 = 23

d = 23 - 8

d = 15

The number of dimes is 15 and the number of nickels is 8.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

Step-by-step explanation:

Answer:

12.1

Step-by-step explanation:

y=a(1/2)^t/h

270=410(1/2)^t/20

Divide both sides by 410

0.6585365854 = (1/2)^t/20

Log Both sides

Log(0.6585365854) / Log(1/2)

.6026645024= t/20

20 x .6026645024 = t

12.05329005 to the nearest tenth is 12.1 = t

Answer:

y= -7x+7

Step-by-step explanation:

y= mx+b

y= slope x+ y intercept

The equation of the line having the slope -7 and y-intercept  is 7 is: y = -7x + 7

A straight line's equation is a relationship between its x and y coordinates, and it is written as y = mx + c, where m is the line's slope and c is its y-intercept.

We are given that the slope m is -7,

and the line crosses the y-axis at 7.

so the value of c = 7

Therefore, we can substitute these values into the slope-intercept form to get:

y = -7x + 7

So the equation of the line is y = -7x + 7.

To know more about Line check:

https://brainly.com/question/17188072

#SPJ3

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:

3/2 hope this helps hqhahjajja

Answer:

252 cm²

Step-by-step explanation:

Find AB:

AB² = 41² - 40²

AB² = 81

AB = √81

AB = 9 cm

Area of the trapezium = ½(a + b) × h

Where,

a = 16 cm

b = 40 cm

h = 9 cm

Area = ½(16 + 40) × 9

Area = ½(56)×9

Area = 252 cm²

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:

I dont see anything how am I supposed to

Answer:55

Step-by-step explanation:

Answer:

58.25

Step-by-step explanation:

116.5 / 2

= 58.25

Hope this helps!!

58.25+58.25

Those are the two numbers that add up to that number (116.5)

Btw there are also MULTIPLE numbers that add up to 116.5, I'm just putting the one that makes the most sense.

(｡ŏ﹏ŏ)

Miri

Answer:

It C am sure it correct....

Answer:

I think the answer would be C.

Answer:

y = 11/2x + 29

Step-by-step explanation:

the slope goes up 11 and over 2 and the line crosses the y-axis at 29 so thats the y-intercept

Answer:

5x = 3x

4+8t-y=y-t+8

98/r=34t

Step-by-step explanation:

Answer:

im to lazy to do an equation

Step-by-step explanation:

Step-by-step explanation:

2πr^2h

2*22/7*6*6*3

2*22/7*36*3

2*22/7*108

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:

PR=12

Step-by-step explanation:

2x+6=3x-6

6=x-6

12=x

Answer:

-360

Step-by-step explanation:

I got it right

Answer:

D

Step-by-step explanation:

It says she has a maximum, that means she cannot go pass the amount ($50)

It costs $7 to get in so you have to take that from what she has ($50)

so you need to have the opposite which would be to add on the left to spend