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Setler79 [48]
4 years ago
13

Bobs mom asked how he Had done on his math test . Bob said if you mupily my score by 3 then subtract 40 from they answer , then

divide by 2 you would get exactly 100 what was bob's score?
Mathematics
2 answers:
amid [387]4 years ago
8 0
Let bob score =x

according to given condition

(3x-40)/2=100

3x-40=200
3x=240
x=80
so bob score =80
siniylev [52]4 years ago
3 0
100*2 = 200
200+40=240
240/30= 80
Bob got an 80% on his test.
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Mariulka [41]

This is Commutative property of addition

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4 years ago
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Write the equation of a quadratic function who has the vertex of (4,-7)
timama [110]

Given:

The vertex of a quadratic function is (4,-7).

To find:

The equation of the quadratic function.

Solution:

The vertex form of a quadratic function is:

y=a(x-h)^2+k          ...(i)

Where a is a constant and (h,k) is vertex.

The vertex is at point (4,-7).

Putting h=4 and k=-7 in (i), we get

y=a(x-4)^2+(-7)

y=a(x-4)^2-7

The required equation of the quadratic function is y=a(x-4)^2-7 where, a is a constant.

Putting a=1, we get

y=(1)(x-4)^2-7

y=(x^2-8x+16)-7             [\because (a-b)^2=a^2-2ab+b^2]

y=x^2-8x+9

Therefore, the required quadratic function is y=x^2-8x+9.

6 0
3 years ago
The wavelength of violet light is 4.0 x 10−7 m. The wavelength of red light is 6.5 x 10−7 m. How much longer is the wavelength o
photoshop1234 [79]

Answer:

A

Step-by-step explanation:

We can substract the wavength of the violet light to the wavelength of the red light:

(6.5 x 10^-7 m) - (4.0 x 10^-7 m) = 2.5 x 10^-7 m

8 0
3 years ago
A piece of wire of length L will be cut into two pieces, one piece to form a square and the other piece to form an equilateral t
inn [45]

Answer:

  (a)  square: L; triangle: 0.

  (b)  square: L·(-16+12√3)/11; triangle: L·(27-12√3)/11

Step-by-step explanation:

<u>Strategy</u>: First we will write each area in terms of its perimeter. Then we will find the total area in terms of the amount devoted to the square. Differentiating will give a way to find the minimum total area.

__

In terms of its perimeter p, the area of a square is ...

  A_square = p^2/16

In terms of its perimeter p, the area of an equilateral triangle is ...

  A_triangle = p^2/(12√3)

Then the total area of the two figures whose total perimeter is L with "x" devoted to the square is ...

  A_total = x^2/16 + (L-x)^2/(12√3)

__

(a) We know when polygons are regular, the one with the most area for the least perimeter is the one with the most sides. Hence, the total area is maximized when all of the wire is devoted to the square.

__

(b) The derivative of A_total with respect to x is ...

  dA/dx = x/8 -(L-x)/(6√3)

This will be zero when ...

  x/8 = (L-x)/(6√3)

  x(6√3) = 8L -8x

  x(8 +6√3) = 8L

  x = L·8/(6√3 +8) = 8L(6√3 -8)/(64-108)

  x = L·(12√3 -16)/11

The total area is minimized when L·(12√3 -16)/11 is devoted to the square, and the balance is devoted to the triangle.

5 0
3 years ago
8(9/5)-2= what?<br> 3(9/5)+7=what?
mario62 [17]
12.4 is the answer for both
3 0
3 years ago
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