last year, emilia went bowling several times and earned an average score of 100 points. this year, after taking a class at school, her average is now 98% higher. what is her current average?​

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:

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

Since Kyle invested $500 and received $650 after three years, the value of Kyles's interest rate is 43.3%.

Given the following data:

To calculate the value of Kyles's interest rate:

Mathematically, simple interest is given by the formula:

[tex]S.I = \frac{PRT}{100}[/tex]

Where:

Making R the subject of formula, we have:

[tex]R = \frac{100S.I}{PT}[/tex]

Substituting the given parameters into the formula, we have;

[tex]R = \frac{100 \times 650}{500 \times 3}\\\\R = \frac{65000}{1500}[/tex]

Interest rate, R = 43.3%

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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 think the the answer is 20

Answer:

None.

Step-by-step explanation:

Answer: where’s the picture?

Step-by-step explanation:

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:

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:

-4( 3a+4)

Step-by-step explanation:

-12a - 16

-4*3a -4*4

Factor out a -4

-4( 3a+4)

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:

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:

270 miles and 180 minutes

Step-by-step explanation:

Answer:

bout 7

Step-by-step explanation:

Answer:3.049533e+44 to be exact

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

252 divided by 18 = 14

hope this helps! :D

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:

-

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.

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Answer:

11.8% Decrease

Step-by-step explanation:

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

Answer:

1,3,4

Step-by-step explanation: hope this helps you

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:

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:

-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:

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:

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:

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

Step-by-step explanation:

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

Answer:

70 is the answer to the question

Answer:

[tex]70^{o}[/tex]

Step-by-step explanation:

Opposite angles in a parallelogram are equal. The opposite angle to A is C and we are trying to find angle C. Therefore, <C = <A, therefore, <c= 70 degrees

Answer:

2.35 hamburgers

Step-by-step explanation:

H6.25 + H18.75 = 58.75