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TiliK225 [7]
3 years ago
12

Please help me with this math question. Help me check my answer and I need help with b​

Mathematics
1 answer:
pickupchik [31]3 years ago
3 0

Answer:

The work shown here is correct.

It simplifies to 17x + 36y + 5.

Step-by-step explanation:

In this situation, there are four different items being purchased. This means their will be a sum of 4 terms. Each term will be the number of the item times its cost. When added together, the four terms will represent the total cost.

7 pens at $x is 7x

5 pens at $(2x+3) is 5(2x+3)

y pens at $6 is 6y

(3y-1) pens at $10 each is 10(3y-1)

All together the cost expression is 7x + 5(2x+3) + 6y + 10(3y -1).

Simplify by applying the distributive property and combine like terms.

7x + 10x + 15 + 6y + 30y - 10

17x + 36y + 5

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Step-by-step explanation:

In decimal form: 2.2

You can see that in the tenths place, there is a 2, so 2 tenths.  

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GET BRAINLIEST FOR THE CORRECT ANSWER AND EXPLANATION!
Tresset [83]

Interpreting the inequality, it is found that the correct option is given by F.

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

  • The first equation is of the line.
  • The equal sign is present in the inequality, which means that the line is not dashed, which removes option G.

In standard form, the equation of the line is:

x + 2y = 6

2y = 6 - x

y = -0.5x + 2

Thus it is a decreasing line, which removes options J.

  • We are interested in the region on the plane below the line, that is, less than the line, which removes option H.

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

  • As for the second equation, the normalized equation is:

3x^2 + 3y^2 = 12

3(x^2 + y^2) = 12

x^2 + y^2 = 4

  • Thus, a circle centered at the origin and with radius 2.
  • Now, we have to check if the line x + 2y - 6 = 0, with coefficients a = 1, b = 2, c = -6, intersects the circle, of centre x = 0, y = 0
  • First, we find the following distance:

d = \sqrt{\frac{|ax + by + c|}{a^2 + b^2}}

  • Considering the coefficients of the line and the center of the circle.

d = \sqrt{\frac{|1(0) + 2(0) - 6|}{1^2 + 2^2}} = \sqrt{\frac{6}{5}} = 1.1

  • This distance is less than the radius, thus, the line intersects the circle, which removes option K, and states that the correct option is given by F.

A similar problem is given at brainly.com/question/16505684

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Figure A' is the reflection of A as it is reflected from A'

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