Find the sum and express it in simplest form. (-6b - 2b - 1) + (-2b + 4b)
1 answer:
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The equations and inequality expresses the relationship between the variables.
The correct responses are;
- First part; The rule that represent the function is; <u>y = 0.5·x - 1</u>
- Second part; the correct option is the inequality; <u>2·n - 6 ≥ 35</u>
- Third part;
- Fourth part; <u>Table 4</u>
- Fifth part;
- Sixth part; <u>75·w + 55 ≤ 400</u>
Reasons:
First part;
The difference between y-values following a change in 2 units of the x-value is a constant, and is equal to 1;
The rate of change of the function, <em>m</em>, is therefore;
The slope and intercept form of the equation of the function is therefore;
y - 3 = 0.5·(x - 8) = 0.5·x - 4
y = 0.5·x - 4 + 3 = 0.5·x - 1
The rule that represent the function is; <u>y = 0.5·x - 1</u>
Second part;
2·n represent twice the number
The difference between twice the number and 6 = 2·n - 6
At least 35 = ≥ 35
Therefore, the inequality is; <u>2·n - 6 ≥ 35</u>
Third part;
The given quadratic equation is; a·x² + b·x + c = 0
Therefore;
Fourth part;
The best correct option is table 4, given that the table is as follows;
Fifth part;
The y-intercept of the graph is -0.5
The slope is -4 ÷ 8 = -0.5
Therefore, the equation is; y = -0.5·x - 4
The shaded area is the area lower than the y-values, with broken lines (indicating < relationship) which gives, the correct inequality as follows;
Sixth part;
The amount Jordan part-time job pays = $75
The amount he has already saved = $55
The cost of the iPhone = $400
Let <em>w</em> represent the number of weeks Jordan works, at his part-time job to purchase the iPhone, we have;
<u>75·w + 55 ≤ 400</u>
Learn more about writing equations and inequalities here:
Answer:
Explained below.
Step-by-step explanation:
(11)
Subtract the sum of (13x - 4y + 7z) and (- 6z + 6x + 3y) from the sum of (6x - 4y - 4z) and (2x + 4y - 7z).
Thus, the final expression is (-11x + y - 12z).
(12)
From the sum of (x² + 3y² - 6xy), (2x² - y² + 8xy), (y² + 8) and (x² - 3xy) subtract (-3x² + 4y² - xy + x - y + 3).
Thus, the final expression is (7x² - y² - x + y + 5).
(13)
What should be subtracted from (x² – xy + y² – x + y + 3) to obtain (-x²+ 3y²- 4xy + 1)?
Thus, the expression is (2x² - 2y² + 3xy - x + y + 2).
(14)
What should be added to (xy – 3yz + 4zx) to get (4xy – 3zx + 4yz + 7)?
Thus, the expression is (3xy - 7zx + 7yz + 7).
(15)
How much is (x² − 2xy + 3y²) less than (2x² − 3y² + xy)?
Thus, the expression is (x² - 6y² + 3xy).