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7nadin3 [17]
3 years ago
5

Solve this: -4x-2<=10

Mathematics
1 answer:
IRISSAK [1]3 years ago
6 0

Answer:

x ≥ -3

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

-4x - 2 ≤ 10

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

  1. [Addition Property of Equality] Add 2 on both sides:                                    -4x ≤ 12
  2. [Division Property of Equality] Divide -4 on both sides:                                x ≥ -3

Here we see that any number <em>x</em> greater than or equal to -3 would work as a solution to the inequality.

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Write an equation for the line in slope-intercept form​
quester [9]

Answer:

y = -3/1x + 2

Step-by-step explanation:

1. Find the slope

The points I will use are (-1,5) and (0,2), where x1 = -1, y1 = 5, x2 =0, and y2 =2.

y2-y1/x2-x1

2-5/0-(-1) = -3/1

2. Find the y-intercepy

y = mx + b

You can use any x or y point. I'll use (-1,5)

m= slope, which is -3/1

5= -3/1(-1) +b

5= 3 + b

Subtract 3 from 5 and 3 to get 2=b.

3. Rewrite in slope-intercept form

y = -3/1x + 2

4 0
3 years ago
5x-y=-5 and 3x-6y=24​
creativ13 [48]
(x,y) = {-2,-5}. I’m pretty sure this is correct. Hope it help!! ❤️
5 0
3 years ago
The sum of two consecutive numbers is -165. Find the value of the smaller number.
Svetllana [295]

Answer:

-83

Step-by-step explanation:

x+(x+1)=number

x+(x+1)=-165

2x+1=-165

-1         -1

2x=-166

/2     /2

x=-83

We can check our work by adding -83+-82=-165 because -83 would be the smaller number.

-83.

7 0
2 years ago
Martha wrote an example of a quadratic function for a homework assignment. The function she wrote is shown. f(x) = 5x3 + 2x2 + 7
larisa86 [58]

<u><em>Answer:</em></u>

<u>The two correct options are:</u>

The first term, 5x³, can be eliminated

The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

<u><em>Explanation:</em></u>

The degree of an expression is given based on the highest power in the expression

<u>The given expression is:</u>

5x³ + 2x² + 7x - 3

We can note that the highest power in the given expression is 3 which means that <u>the degree of the expression is 3</u>

<u>A quadratic function</u> is a function of <u>degree 2</u>. This means that the highest degree in the expression (function) must be 2

Accordingly, Martha should get rid of the term with power 3 (5x³) in her equation

<u>This can be done by 2 methods:</u>

1- She simply eliminates the term with the third degree

2- She changes the degree of the term with degree 3 to a lower degree and combines it with any existent like term

<u>Comparing the above with the given options, we can conclude that the two correct options are:</u>

- The first term, 5x³, can be eliminated

- The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

Hope this helps :)

6 0
3 years ago
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Answer:

Step-by-step explanation:

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