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algol [13]
3 years ago
6

Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, o

r 1 negative unit tile, to both sides. What advice would you give Tucker to help him decide on his first step? Explain.
Mathematics
2 answers:
ella [17]3 years ago
6 0

Sample Response: It does not matter which he does first. Either way, zero pairs will be created on both sides, which will isolate the variable to determine x. Adding the x-tiles and then the unit tile, or visa versa, will give the same solution.

Fittoniya [83]3 years ago
4 0
It does not matter which he does first. Either way, zero pairs will be created on both sides, which will isolate the variable to determine x<span>. Adding the </span>x<span>-tiles and then the unit tile, or visa versa, will give the same solution.</span>
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A Playstation 5 gaming console is initially priced at $500 and the price rises such that the new price is $550. What is the perc
konstantin123 [22]

Answer:

10%

Step-by-step explanation:

raises $50 from $500 500/50= 10=10%

8 0
3 years ago
The height of the triangle is 3 meters longer than twice its base. Find the base and height if the area is 8 square meters. Roun
polet [3.4K]

9514 1404 393

Answer:

  • base: 2.18 m
  • height: 7.35 m

Step-by-step explanation:

Let b represent the base of the triangle in meters. Then the height is ...

  h = 3 +2b

and the area is ...

  A = 1/2bh

  8 = 1/2(b)(3 +2b)

  16 = 3b +2b^2 . . . . . . . multiply by 2 and eliminate parentheses

  2(b^2 +3/2b + (9/16)) = 16 + 9/8 . . . . . . complete the square

  2(b +3/4)^2 = 17.125

  (b +3/4)^2 = 8.5625 . . . . . divide by 2

  b + 0.75 = √8.5625 ≈ 2.9262

  b = -0.75 +2.9262 = 2.1762

  h = 3 +2b = 7.3523

The base is about 2.18 meters and the height is about 7.35 meters.

3 0
3 years ago
The attendance at a seminar in 1 year was 500. in year 2, the attendance changed by 100. what was the percent change in the atte
Masja [62]

Answer:

C

Step-by-step explanation:

100/500=0.2

0.2=20%

3 0
3 years ago
Read 2 more answers
Let y(????)y(t) be a solution of y˙=17y(1−y7)y˙=17y(1−y7) such that y(0)=14y(0)=14. Determine lim????→[infinity]y(????)limt→[inf
shtirl [24]

Answer:

Step-by-step explanation:

Given that,

y' = 17y ( 1-y^7)

Let y=1

Then, y' = 0 for all t

Then show that it is the only stable equilibrium point so that as y→1, t→∞ with any initial value.

So, the graph solution will be

y(0) = 1 and this will be an horizontal line

If, y(0) > 1 then, y' < 0 by inspecting the first equation, so the graph is has decreasing solution.

Likewise, if y(0) < 1 then, y' > 0 and the graph is increasing.

So no matter the initial condition, graph of the solution will be asymptotic to the horizontal line above.

This make the limit be 1.

This shows that x = 1 is a stable equilibrium.

6 0
3 years ago
Multiply. Write the answer in lowest terms. <br> 5/7 x 11/7 x 5/6
marusya05 [52]
Hi

5/7 × 11/7 × 5/6 = 55/49 × 5/6 = 275/294

5/7 × 11/7 = (5×11)/(7×7) = 55/49
55/49 × 5/6 = (55×5)/(49×6) = 275/294 (irreducible)

Answer: 275/294
6 0
3 years ago
Read 2 more answers
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