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kati45 [8]
3 years ago
9

Simplify 2(x - 3) + 7(x + 2)

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
7 0

Answer:

(2x-6) + (7x+14)

Step-by-step explanation:

2 times x equals 2x. 2 times -3 equals -6. So, so far we have (2x-6) Then 7 times x equals 7x. 7 times 2 equals 14. Now we have (7x+14)

lyudmila [28]3 years ago
3 0

Answer:

9x + 8.

Step-by-step explanation:

2(x - 3) + 7(x + 2)

= 2x - 6 + 7x + 14

= 2x + 7x - 6 + 14

= 9x + 8.

Hope this helps!

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Please help !<br> If you can
iren2701 [21]

Answer:

80 degrees

Step-by-step explanation:

We can use the Central Angle Theorum, which states that if the vertex of the angle is the center of the circle, then the arc is the same measurement as the angle.

In this case, m<COB is 80 degrees, and the vertex is the center of the circle, which means that measure of arc CB is also 80 degrees

8 0
3 years ago
a bicycle store costs $2400 per month to operate. the store pays and average of $60 per bike. the average selling price of each
Soloha48 [4]
40 bikes. 120 times 40 equals 4800 divided by 2 because they pay for half the bike will be 2400
4 0
3 years ago
A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equat
jolli1 [7]

Answer:

  • 7000 type A
  • 6000 type B

Step-by-step explanation:

We assume your equations are intended to be ...

C(x,y)=x^2-2xy+9y^2+3x-87y-6\\R(x,y)=5x+7y

Then the profit equation is ...

P(x,y)=R(x,y)-C(x,y)=5x+7y-x^2+2xy-9y^2-3x+87y+6\\=-x^2+2xy-9y^2+2x+94y+6

The partial derivatives of profit with respect to x and y are zero when profit is maximized.

  ∂P/∂x = 0 = -2x +2y +2

  ∂P/∂y = 0 = 2x -18y +94

Simplifying, these equations are ...

  • y = x -1
  • x -9y = -47

Substituting the first into the second gives ...

  x -9(x -1) = -47

  -8x = -56

  x = 7

  y = 7 -1 = 6

The company will maximize profit by selling 7000 panels of type A and 6000 panels of type B.

5 0
3 years ago
The perimeter of a triangle is 41 inches. The three sides of the triangle are all differnt lenghts. The longest side is 10 less
erma4kov [3.2K]

Answer:

Longest\ side=20\ inches\\\\Middle\ side=15\ inches\\\\Shortest\ side=6\ inches

Step-by-step explanation:

Let be "x" the lenght of the longest side, "y" the lenght of the middle side and "z" the lenght of the shortest side.

The perimeter is:

41=x+y+z       [Equation 1]

We know that the longest side is 10 less than twice the middle side length. This can be expressed as:

x=2y-10          [Equation 2]

And the middle side length is three less than three times the shortest side length. This is:

y=3z-3         [Equation 3]

The steps are:

- Solve for "z" from the third equation:

y=3z-3\\\\y+3=3z

z=\frac{y+3}{3}    [Equation 4]

- Substitute [Equation 4] into [Equation 1]

- Substitute [Equation 2] into [Equation 1]

Then:

41=(2y-10)+y+(\frac{y+3}{3})

- Solve for "y":

41=2y-10+y+\frac{y+3}{3}\\\\41=2y-10+y+\frac{y}{3}+1\\\\41=\frac{10}{3}y-9\\\\41+9=\frac{10}{3}y\\\\\frac{50*3}{10}=y\\\\y=\frac{150}{10}\\\\y=15

- Substitute this value into [Equation 2] and into [Equation 4]:

x=2(15)-10\\\\x=20

z=\frac{(15)+3}{3}\\\\z=6

4 0
3 years ago
Graph and solve the following equation 9x-3=78
lbvjy [14]

Answer:

x=9

Step-by-step explanation:

Everything is in picture

4 0
3 years ago
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