Adam went on a shopping trip to Somerville. He purchased a set of dishes originally priced at
$390 but discounted 60%. If sales tax in Somerville is 8%, what was the total cost?
Submit

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4*a+b-(12)=0

Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 4a+b-12 = 0 and calculate its properties

Notice that when a = 0 the value of b is 12/1 so this line "cuts" the b axis at b=12.00000

b-intercept = 12/1 = 12.00000

When b = 0 the value of a is 3/1 Our line therefore "cuts" the a axis at a= 3.00000

a-intercept = 12/4 = 3

Slope is defined as the change in b divided by the change in a. We note that for a=0, the value of b is 12.000 and for a=2.000, the value of b is 4.000. So, for a change of 2.000 in a (The change in a is sometimes referred to as "RUN") we get a change of 4.000 - 12.000 = -8.000 in b. (The change in b is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -8.000/2.000 = -4.000

Geometric figure: Straight Line

Answer:

Step-by-step explanation:

Without having a numerical value for a (or b), you can't "solve this equation."

You can, however, solve it for either a or b, but not both.

For a:  Subtract b from both sides.  This results in 4a = 12 - b.  Dividing both sides by 4 isolates a:  

        12 - b

a = --------------

            4

For b:  Subtract 4a from both sides.  Then:   b = 12 - 4a

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step expla

-7 times -12 is 84

Answer:

N

Step-by-step explanation:

Answer:

n

Step-by-step explanation:

√44

2 Real Roots

Looking at the image attached, the discriminant is the value under the square root.

In the equation given:

a = 1

b = -8

c = 5

The discriminant is therefore:

√(b²- 4ac) = √(-8²- (4*1*5)) = √(64-20) = √44

√44 is a positive number. Because it is positive, there must be 2 real roots.

If it were negative, there would be 2 imaginary roots.

If it were zero, there would be 1 real root.

Answer:

y= -1/4x - 11/2

y= 3/7x - 29/7

Answer:

C because it's a quadratic equation and it can be solved by factorization and completing the square method and also general formula

A = lw

A = 9

9 = lw

9 = (x + 2)(x + 3)

9 = x² + 3x + 2x + 6

9 = x² + 5x + 6

x² + 5x = 3

Answer:

A = lw

A = 9

9 = lw

9 = (x + 2)(x + 3)

9 = x² + 3x + 2x + 6

9 = x² + 5x + 6

x² + 5x = 3

Step-by-step explanation:

The trinomial for the rectangular rug is 3x² + 5x - 2

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

A trinomial is a polynomial with three terms.

The area of a rectangle = length * width

Area of rectangle = (x + 2) * (3x - 1) = 3x² + 6x - x - 2

Area of rectangle = 3x² + 5x - 2

The trinomial for the rectangular rug is 3x² + 5x - 2

Find out more at: https://brainly.com/question/18563587

Answer:

C. a= -1, m=1

Step-by-step explanation:

hope i helped, have a great day :)

For the function f(x) = [tex]\frac{2x^m}{ x + a}[/tex], if the horizontal asymptote is at y = 2 and vertical asymptote is at x = 1, then a = -1 and m = 1.

There are asymptotes like horizontal, vertical and oblique asymptotes.

Horizontal asymptote is the value of the function f(x) as x goes to ±∞, as long as this value is not infinity.

Vertical asymptotes are the values of x which are not in the domain of the function f(x). For a fractional expression it is found by letting the denominator equals zero.

The given function is,

f(x) =  [tex]\frac{2x^m}{ x + a}[/tex]

Horizontal asymptote of this function is at y = 2.

lim x → ∞ f(x) = 2

lim x → ∞  [tex]\frac{2x^m}{ x + a}[/tex] = 2

Eliminate 'a' in the denominator, because as x tends to infinity a + x also tends to infinity.

lim x → ∞  [tex]\frac{2x^m}{ x }[/tex] = 2

For the left hand side to become 2, [tex]x^m[/tex] in the numerator and x in the denominator should get cancelled.

⇒ [tex]x^m[/tex] = [tex]x[/tex]

⇒ m = 1

Vertical asymptote of the function is at x = 1.

Let x + a = 0

⇒ 1 + a = 0

⇒ a = -1

Hence we get the values a = -1 and m = 1 for the function f(x) =  [tex]\frac{2x^m}{ x + a}[/tex] to have the horizontal asymptote at y = 2 and vertical asymptote at x = 1.

To learn more on Asymptotes, click :

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Answer:

3

Step-by-step explanation:

5x + 40 = 55

5x = 55 - 40

5x = 15

x = 15 / 5

x = 3

Answer:

275 miles

Step-by-step explanation:

110/2 = 55 miles

you travel 55 miles an hour

multiply that by 5 to get your answer

equals 275 miles

Hope this is helpful.

Answer:

275 miles in 5 hours

Step-by-step explanation:

110/2 is 55. 55 is 1hour so multiply 55 times 5 and thats your answer.

Answer:

i

Step-by-step explanation:

=> -i³

=> (-1 . i )³

=> -1³ . i³

=> -1 [ i² . i ]

=> -1 [ (√-1)² . i ]

=> -1 [ -1 . i ]

=> i

Answer:

B: i

Step-by-step explanation:

Algebric explanation: as long as you remember power rules you should be good:

[tex](-i)^3 = (-1)^3\times i^3 = -1 \times i^2\times i= (-1)\times(-1)\times i=1i[/tex]

Geometric explanation: In the complex plane you can think "multiplying by i" as "rotate 1/4 counterclockwise". [tex](-1)^3[/tex] is a real number, and it's simply [tex]-1[/tex]. Rotate that ccw once, you're at [tex]-i[/tex]. Again, and you're at 1. third time (is really the charm!) you end up at [tex]i[/tex].

Polar explanation Courtesy of euler's identity.

[tex](-i)^3 = (e^{-\frac{\pi}2i})^3=e^{-\frac32\pi i}= cos (-\frac32\pi)+isin(-\frac32\pi) = 0+i(1)= i[/tex]

Answer:

c. 4y=6x+8

Step-by-step explanation:

For lines to be parallel, they must have the same slope. To solve this problem, we need to isolate the y on one side of the equation (putting the equation into slope intercept form).

The equation itself must be divided by 2 to do that. We end up with y=1.5x-0.5. We need to find another equation that has 1.5 as the slope.

b. y=0.5x-1.5

c. y=1.5x+2

d. y=3x+4

e. y=2/3x-1

As we can see, the only other equation with a slope of 1.5 is C. Therefore, C is our answer.

Answer:

351520000

Step-by-step explanation:

351520000

Explanation:

There are 10 possible digits for the numbers (0,1,2,...,9), and 26 possible letters (A,B,C,.....,Z).

Since repetitions are allowed, we have that for each letter used, 26 still remain for the next choice, and for each digit used, 10 still remain for the next choice.

Hence, by the multiplication principle, the total different number of letter permutations is  

26

×

26

×

26

=

17576

and the total number of digit permutations is  

10

×

10

×

10

=

1000

But now since they can be in any order, we basically require in how many different ways can 3 be chosen from 6 which is the combination

6

C

3

=

6

!

(

6

−

3

)

!

3

!

=

20

So for each of the original permutations of numbers and letters, we must consider the 20 different combinations of positions they can be in.

Therefore by the multiplication principle, the total possible different number plates is

17576

×

1000

×

20

=

351520000

Answer:

she keeps 270

Step-by-step explanation:

have of 600 is 300 10 percent of 300 is 30

300-30 is 270

Answer:

-7/9

Step-by-step explanation:

Using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 6-13)/(10-1)

    = -7/9

B. 1969

Step-by-step explanation:

Hope it helped you! :) (Please correct me if I'm wrong.)

Answer:

Step-by-step explanation:

from how the sides are marked it is an equilateral triangle, to see it does not seem. assuming that it is equilateral it has 3 angles of 60 ° for which 4x - 20 = 60

4x - 20 = 60

4x = 80

x = 80 : 4

x = 20

-------------------

4 * 20 - 20 = 60°

Answer:

[tex]{ \boxed{ \mathfrak{ \: answer : \: { \rm{f( - 3) = - 21}} }}}[/tex]

Step-by-step explanation:

[tex]{ \rm{f(x) = - {x}^{2} - 12 }}[/tex]

• When x is -3:

[tex]{ \rm{f( - 3) = - {( - 3)}^{2} - 12}} \\ \\ { \rm{f( - 3) = - 9 - 12}} \\ \\ { \rm{f( - 3) = - 21}}[/tex]

I think it might be D

Answer:

88

Step-by-step explanation:

Let's find the length of one side. The perimeter will be 8 times that since it's a regular octagon.

[tex]d= \sqrt{(-4+(-4))^2+(8-(-3))^2} = \sqrt{0^2+(11)^2}= 11[/tex]

Perimeter has to be [tex]8\times 11 = 88[/tex]

                  1  / 2

<————---———————>

              3 / 4

            5 / 6

<————————————>

       7 / 8

ANGLE TYPES: Vertical, Adjacent, Linear, Complementary, Supplementary, Co-Interior, Alternate Interior, Alternate Exterior, Corresponding,

ANSWERS:

1. Vertical

2. Corresponding

3. Supplementary

4. Alternate Interior

5. Co-Interior

6. Alternate Interior

7. Corresponding

8. Alternate Exterior

Answer:

3x

Step-by-step explanation:

Answer:

3m^2 + 5n = 3

Step-by-step explanation:

3(16) + 5(-13) =

48 - 45 =

3

Answer:

x =  [tex]3\sqrt{2}[/tex]

Step-by-step explanation:

This is an isosceles triangle, so the missing side is also 3

x = [tex]\sqrt{3^2 + 3^2}[/tex]

  = [tex]\sqrt{9+9}[/tex]

  = [tex]\sqrt{18}[/tex]

Simplify [tex]\sqrt{18}[/tex]:

18 = 2 x 3 x 3

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3 * 3}[/tex]

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3^2}[/tex]

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2} * \sqrt{3^2}[/tex]

[tex]\sqrt{18}[/tex] = [tex]3\sqrt{2}[/tex]

-Chetan K

Answer:

Step-by-step explanation:

14.7$

Answer:

15.8 i think

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

15/4=3 with a remainder of 3 . You take the 3 from your answer and it becomes the whole number.