Your grandfather gave you $18 to buy a present. This covered 9/10 of the cost. How much did the present cost?

Answer:

x = 39

Step-by-step explanation:

A circle is made up of 360 degrees

235+ 54+ x+32 = 360

Combine like terms

x+321=360

Subtract 321 from each side

x+321-321 = 360-321

x = 39

Answer:

[tex]\mathbf{y(x) = \dfrac{(c_1 + c_2) \ cos (x)}{e^{6x} }+ \dfrac{i(c_1 -c_2) \ sin (x)}{e^{6x}}+ c_3e^{3\ x}}[/tex]

Step-by-step explanation:

The objective of this question is to solve:

[tex]\dfrac{dy(x)}{dx}+ 9\dfrac{d^2y(dx)}{dx^2}+\dfrac{d^3y(x)}{dx^3}-111y(x) = 0 :[/tex]

Suppose the general solution is proportional to [tex]e^{\lambda x}[/tex] for [tex]\lambda[/tex] is constant; Then:

Let's replace [tex]y(x) = e^{\lambda\ x}[/tex] into the above equation:

i.e.

[tex]\dfrac{d^3}{dx^3}(e ^{\lambda x} )+ 9 \dfrac{d^2}{dx^2}(e ^{\lambda x} ) + \dfrac{d}{dx}(e ^{\lambda x} )- 111 \ e ^{\lambda x} = 0[/tex]

To Replace:

[tex]\dfrac{d^3}{dx^3}(e ^{\lambda x} )[/tex] with [tex]\lambda^3 e ^{\lambda x }[/tex]

[tex]\dfrac{d^2}{dx^2}(e ^{\lambda x} ) \ with \ \lambda^2 e^{\lambda\ x}[/tex]

[tex]\dfrac{d}{dx}(e ^{\lambda x} ) \ with \ \lambda e ^{\lambda \ x}[/tex]

Thus;

[tex]\lambda^3 e ^{\lambda x }[/tex] + [tex]9 \lambda^2 e^{\lambda\ x}[/tex] + [tex]\lambda e ^{\lambda \ x}[/tex] - 111 [tex]e ^{\lambda \ x}[/tex] = 0

[tex]e ^{\lambda \ x} (\lambda ^3 + 9 \lambda ^2 + \lambda - 111 )= 0[/tex]

∴

In as much as [tex]e^{ \lambda x}\neq 0[/tex] for any finite [tex]\lambda[/tex]; Then:

[tex]\lambda ^3 + 9 \lambda ^2 + 111 = 0[/tex]

By Factorization:

[tex](\lambda - 3) ( \lambda ^2 + 12 \lambda + 37) = 0[/tex]

[tex]\lambda = -6 + i \ or\ \lambda = -6 - i \ or \ \lambda = 3[/tex]

However;

The root [tex]\lambda = -6 \pm i[/tex] yield;

[tex]y_1 = (x) = c_1 e ^ {(-6+i)x}[/tex]

[tex]y_2 (x) = c_2e^{(-6-i)x}[/tex]

The root [tex]\lambda = 3[/tex] yield;

[tex]y_3(x) = c_3 e^{3x}[/tex]

∴

The general solution is:

[tex]y(x) = y_1(x) + y_2(x) + y_3(x) = \dfrac{c_1}{c^{(6-i)}x}+\dfrac{c_2}{c^{(6+i)}x}+ c_3e^{3x}[/tex]

Using Euler's Identity ;

[tex]e^{\alpha+i \beta} = e^\alpha \ cos (\beta ) + i \ e^\alpha \ sin ( \beta)[/tex]

[tex]y(x) = c_1 ( \dfrac{cos (x) }{e^{6x}}+ \dfrac{i \ sin x }{e^{6x} }) + c_2 ( \dfrac{cos (x)}{e^{6x}}- \dfrac{-i \ sin (x)}{e^{6x}})+c_3 e^{3x}[/tex]

[tex]\mathbf{y(x) = \dfrac{(c_1 + c_2) \ cos (x)}{e^{6x} }+ \dfrac{i(c_1 -c_2) \ sin (x)}{e^{6x}}+ c_3e^{3\ x}}[/tex]

Answer:

Not 100% sure on this make sure you double check

Step-by-step explanation:

X- 10          

Y- 10

Slope- (-1)

like I said this could be wrong  

Answer:

y = 3x+7

Step-by-step explanation:

The standard form of equation in slope-intercept form is:

y = mx+c

m is the slope

c is the intercept

Given the coordinates (-3, -2) and (3, 16)

Get the slope;

Slope = ∆y/∆x

Slope = y2-y1/x2-x1

Slope = 16-(-2)/3-(-3)

Slope = 16+2/3+3

Slope = 18/6

Slope = 3

Get the Intercept

Substitute one of the points in the formula:

Using the coordinate (-3, -2)

y = mx+c

-2 = 3(-3)+c

-2 = -9 + C

c = -2+9

c = 7

Get the equation of the line by substituting m and c into the equation y = mx+c

y = 3x+7

Answer:

The midpoint of the points (2,8) and (0,4) is given by:

(

2

x

1

+x

2

,

2

y

1

+y

2

)=(

2

2+0

,

2

8+4

)=(

2

2

,

2

12

)=(1,6)

We must must transform the standard form equation −3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.

−3x+6y=5 (Subtract 3x on both sides.)

6y=3x+5 (Divide both sides by 6.)

y=

6

3

x+

6

5

y=

2

1

x+

6

5

The slope of our first line is equal to

2

1

. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is

x

1

.

The negative reciprocal of

2

1

is equal to −2, therefore, −2 is the slope of our line.

Since the equation of line passing through the midpoint (1,6), therefore, substitute the given point in the equation y=−2x+b:

6=(−2×1)+b

6=−2+b

b=6+2=8

Substitute this value for b in the equation y=−2x+b:

y=−2x+8

Hence, the equation of the line is y=−2x+8.

Step-by-step explanation:

make me as brain liest

Answer:

m = -3

Step-by-step explanation:

First, find two clear points:

(1, -2) (0, 1)

Then, use the slope formula:

m = y2 - y1

      x2 - x1

m = 1 - (-2)

       0 - 1

   = 3  = -3

     -1

m = -3

This means that the rise-over-run is -3 over 1, or 3 over -1.

Which means three down and 1 to the right, or 3 up and 1 to the left.

Slope is the steepness of the line.

Answer:

bout 7

Step-by-step explanation:

Answer:3.049533e+44 to be exact

Step-by-step explanation:

Answer:

11.8% Decrease

Step-by-step explanation:

I googles it i am sorry if it's not right

Answer:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

Step-by-step explanation:

Answer:

-

Step-by-step explanation:

I took the test

The correct operator that enters a circle is a subtraction sign.

Given the expressions

[tex](4x^5-8x) ()(3x^2-8x+9)[/tex]

We need to know which sign goes into the bracket that will give a trinomial when simplified.

A trinomial is a function containing 3-terms.

Using the subtraction sign.

[tex](4x^5-8x) - (3x^2-8x+9)[/tex]

Expand

[tex]= 4x^5-8x - 3x^2+8x-9\\= 4x^5-3x^2-8x+8x-9\\=4x^5-3x^2+0-9\\=4x^5-3x^2-9[/tex]

Since the resulting term is a trinomial (3 terms), hence the correct operator that enters a circle is a subtraction sign.

Learn more here: https://brainly.com/question/1320408

Answer:

266.162 ml

Step-by-step explanation:

I think the the answer is 20

Answer:

1,3,4

Step-by-step explanation: hope this helps you

Answer:

B

Step-by-step explanation:

y=mx+b is the slope-intercept form. Y will remain the same. Since the slope is decreasing, use a negative. The y-intercept is -5, so substitute that for b.

Answer:

96 and 288

Step-by-step explanation:

So, we need to find 2 numbers such that their sum is 8 and they do not have common factor (Relatively prime). Both these numbers will be divisible by 48 but there would be no other common divisor (after dividing by 48).

Such order independent pairs are (1,7) and (3,5).

Difference between them would be (7–1)*48=6*48 and (5–3)*48=2*48 respectively.

The differences are 6*48=288 and 2*48=96.

We have found difference without finding numbers.

Ans.: 96 and 288

p.s.: The number pairs (again order neutral) would be (48, 336) and (144, 240)

Difference for 48 and 336 add up to 384, their HCF is 48. These two numbers match the conditions. Their difference is 288.

Difference of 144 and 240 add up to 384, their HFC is 48 (the numbers are 48*3 and 48*5, common factor is 48 and no other common factor for 3 and 5; 48 is HCF). The difference is 96.

Answer:

-3.21

Step-by-step explanation:

If you pay close attention the numbers are 5 points away from each other, so after -3.2 is -3.21! Hope that helped love :)

Answer:

Shop and save

Step-by-step explanation:

Answer:

You can buy 5 of the same apples at Shop and Save for $2.10.

Step-by-step explanation:

Answer:

Step-by-step explanation:

where are the other variables?

Answer:

2.35 hamburgers

Step-by-step explanation:

H6.25 + H18.75 = 58.75

Answer:

None.

Step-by-step explanation:

Answer: where’s the picture?

Step-by-step explanation:

Answer:

2 /20t+7

​  

Step-by-step explanation:

Answer: It has one solution (8, 2).

Step-by-step explanation:

I put both equations in Desmos and the solution was (8,2)

9514 1404 393

Answer:

  y = x +7

Step-by-step explanation:

The slope of the given line can be found as ...

  m = (y2 -y1)/(x2 -x1)

  m = (3 -7)/(-1 -3) = -4/-4 = 1

Then the point-slope form of the equation for the desired line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y - 9 = 1(x -2)

  y = x -2 +9

  y = x + 7 . . . . slope-intercept form

__

The attachment shows a graphing application that will write the equation of the line. Here, it shows the desired line has the equation ...

  x -y = -7 . . . . desired line equation in standard form

Answer:

x=2

Step-by-step explanation:

x2

x

+−3=x+x+−5

Multiply all terms by x and cancel:

x2+−3x=xx+xx+−5x

x2−3x=2x2−5x(Simplify both sides of the equation)

x2−3x−(2x2−5x)=2x2−5x−(2x2−5x)(Subtract 2x^2-5x from both sides)

−x2+2x=0

x(−x+2)=0(Factor left side of equation)

x=0 or −x+2=0(Set factors equal to 0)

x=0 or x=2

Check answers. (Plug them in to make sure they work.)

x=0(Doesn't work in original equation)

x=2(Works in original equation)

Answer:

x=2

Answer:

I not see the number 2

I think that is number 2

Answer:

first and last one should be the answer (not sure about the first, cant see it too good)

Answer:

the answer is 7.1 inches tall

Answer:

How to Easily Calculate the Serving Size in Recipes

Weigh the Food. Before you can accurately divide your recipe into servings, you need to know how much it weighs in total. ...

Divide the Recipe into Servings. ...

Calculate Calories. ...

Save the Information.

Step-by-step explanation: