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Mademuasel [1]
3 years ago
5

1+s=3 as a one step equation

Mathematics
2 answers:
nalin [4]3 years ago
6 0
One step is the subtraction property of equality, what you subtract from one side you subtract from the other side.
1+s=3
-1+1+s=3-1
s=2
lesya692 [45]3 years ago
4 0
Th answer is 2 because you subtract 1 from 3
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Factorise fully 12x³ - 30x²​
MariettaO [177]

Answer:

6x² (2x - 5)

Step-by-step explanation:

12x³ - 30x²

= 6x² (2x - 5)

5 0
3 years ago
If x= -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the eq
bulgar [2K]

Answer:

C) The discriminant is 0.

Step-by-step explanation:

Since the graph of the quadratic equation has only one x-intercept, we can conclude that the quadratic has only one real root.

If a quadratic equation has only one real root, then the discriminant is 0

8 0
3 years ago
19 POINTS HELP PLEASE! Complete the table and pattern. Determine the common difference. Write the explicit rule.
Sonbull [250]

4.

a_1=-20,\ a_3=-15\\\\2d=a_3-a_1\to 2d=-15-(-20)\to2d=-15+20\to2d=5\to d=2.5\\\\a_n=a_1+(n-1)d\to a_n=-20+(n-1)(2.5)=-20+2.5n-2.5=2.5n-22.5\\\\a_2=2.5(2)-22.5=5-22.5=-17.5\\\\a_4=2.5(4)-22.5=10-22.5=-12.5\\\\a_6=2.5(6)-22.5=15-22.5=-7.5

<u>n   |    1     |   2    |   3   |   4   |   5    |   6   |</u>

f(n)|  -20  | -17.5 |  -15  |-12.5|  -10  | -7.5 |

First term: -20     Common Difference: 2.5

Explicit Rule:  a_n=2.5n-22.5       Recursive Rule: a_1=-20,\ a_n=a_{n-1}+2.5

5.

a_1=123,\ a_2=131\\\\d=a_2-a_1\to d=131-123=8\\\\a_n=a_1+(n-1)d\to a_n=123+(n-1)(8)=123+8n-8=8n+115\\\\a_3=8(3)+115=24+115=139\\\\a_5=8(5)+115=40+115=155\\\\a_6=8(6)+115=48+115=163

<u>n   |    1     |   2    |   3   |   4   |   5    |   6   |</u>

f(n)|  123  |  131   | 139 | 147  |  155  | 163 |

First term: 123      Common Difference: 8

Explicit Rule:  a_n=8n+115       Recursive Rule: a_1=20,\ a_n=a_{n-1}+8

3 0
3 years ago
A basket contains 6 apples and 5 oranges. Determine whether the events of picking an apple first and then an orange without repl
alexgriva [62]
They are dependent of one another
8 0
3 years ago
Read 2 more answers
Consider the function F(x) = - 2x + 3x - 8. Determine F(k + 4).
Romashka [77]

Answer:

F(k + 4) = k - 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Function Notation
  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

F(x) = -2x + 3x - 8

F(k + 4) is x = k + 4

<u>Step 2: Find F(k + 4)</u>

  1. Substitute in <em>x</em>:                     F(k + 4) = -2(k + 4) + 3(k + 4) - 8
  2. Distribute -2:                        F(k + 4) = -2k - 8 + 3k + 12 - 8
  3. Combine like terms (k):       F(k + 4) = k - 8 + 12 - 8
  4. Combine like terms (Z):       F(k + 4) = k - 4
8 0
3 years ago
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