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andriy [413]
2 years ago
15

Match the correct translation with the given transformation.

Mathematics
1 answer:
Tanya [424]2 years ago
6 0

Answer:

please explain the questions

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<img src="https://tex.z-dn.net/?f=%20-%200.4%20%2B%201.5%283.1%29" id="TexFormula1" title=" - 0.4 + 1.5(3.1)" alt=" - 0.4 + 1.5(
ANTONII [103]
Hi,

- 0.4  + 1.5(3.1) \\  - 0.4 + 1.5 \times 3.1 \\  - 0.4 + 4.65  = 4.25


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3 years ago
Write the first four terms of the sequence:<br> a = 2<br> an = a(n-1) + 4
eduard

We have sequence equation a_n=a(n-1)+4.

In this case n is a natural number (1, 2, 3, ...).

So start inserting and computing value of a_n given that you know the value of n and a.

a_1=2(1-1)+4=4 (first term)

a_2=2(2-1)+4=6 \\a_3=2(3-1)+4=8 \\a_4=2(4-1)+4=10

Hope this helps.

3 0
2 years ago
Just number 3 is fine please but if you could also 4​
PIT_PIT [208]

Answer:

3. r = -8

4. x = -5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

2(-5r + 2) = 84

<u>Step 2: Solve for </u><em><u>r</u></em>

  1. Divide 2 on both sides:                    -5r + 2 = 42
  2. Subtract 2 on both sides:                 -5r = 40
  3. Divide -5 on both sides:                    r = -8

<u>Step 3: Check</u>

<em>Plug in r into the original equation to verify it's a solution.</em>

  1. Substitute in <em>r</em>:                   2(-5(-8) + 2) = 84
  2. Multiply:                             2(40 + 2) = 84
  3. Add:                                   2(42) = 84
  4. Multiply:                             84 = 84

Here we see that 84 does indeed equal 84.

∴ r = -8 is a solution of the equation.

<u>Step 4: Define equation</u>

264 = -8(-8 + 5x)

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Divide both sides by -8:                    -33 = -8 + 5x
  2. Add 8 to both sides:                          -25 = 5x
  3. Divide 5 on both sides:                      -5 = x
  4. Rewrite:                                               x = -5

<u>Step 6: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in<em> x</em>:                    264 = -8(-8 + 5(-5))
  2. Multiply:                               264 = -8(-8 - 25)
  3. Subtract:                              264 = -8(-33)
  4. Multiply:                               264 = 264

Here we see that 264 does indeed equal 264.

∴ x = -5 is a solution of the equation.

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