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EleoNora [17]
2 years ago
11

Misha’s family bought a large cattle farm. The number of acres of the cattle farm is the cube of the acres they used to own plus

10 acres. If a represents the number of acres the family used to own, which expression represents the number of acres they own now?
Mathematics
1 answer:
atroni [7]2 years ago
8 0
It should be axaxa +10. Or a to the third plus 10
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Ted Roberts earned a salary of $41,700 last year. His benefits were 32.5% of
Paul [167]

Step-by-step explanation:

Ted's second job offers 49,024 and it is 3819 greater than the first job

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2 years ago
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit
coldgirl [10]
Changing the equation into slope form: y = mx + c, where m is the slope [gradient] and c is the y-intercept.

2x+3y=1470
3y = -2x+1470
y= - \frac{2}{3}x+ \frac{1470}{3}
y=- \frac{2}{3}x+490

The gradient is - \frac{2}{3} and y-intercept is at y=490

Graphing y=- \frac{2}{3}x+490 using slope-intercept method:
a) The slope is a negative slope. The line will go 'down hill'
b) The line must pass the point (0, 490)
c) The line will intercept the x-axis at y = 0
    0 = - \frac{2}{3}x+490
    \frac{2}{3}x = 490
    2x = 1470
    x = \frac{1470}{2}
    x = 735
    So, x-intercept is at (735, 0)

The graph of this function is shown below. The intercepts are labelled at:
y = 490
x = 735

-----------------------------------------------------------------------------------------------------------

Next month's profit equation

2x+3y=1593

Rewriting this into slope-equation form

3y = -2x+1593
y=- \frac{2}{3}+ \frac{1593}{3}
y= - \frac{2}{3}+531

The gradient, m, equals to - \frac{2}{3}
The y-intercept, c, equals to 531

The equation still has the same gradient with last month's profit equation but different y-intercept. 

-------------------------------------------------------------------------------------------------------------

A linear graph show points of (0, 300) and (450, 0)

We work out the slope: 
\frac{300-0}{0-450} = \frac{300}{-450}=- \frac{20}{30}  =- \frac{2}{3}


Y-intercept at x = 0, so it's at y = 300

Equation y = - \frac{2}{3}+300

6 0
3 years ago
(2x-3)(3x+4) expand and simplify
elixir [45]

Answer:

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Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor.

(2x - 3)(3x + 4)

= 2x(3x + 4) - 3 (3x + 4) ← distribute both parenthesis

= 6x² + 8x - 9x - 12 ← collect like terms

= 6x² - x - 12 ← in expanded form


5 0
3 years ago
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Reil [10]

Answer:

x= -1/21

Step-by-step explanation:

21x + 11 - 5 = 5

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(-6 each side)

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(divide 21 each side)

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3 0
2 years ago
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Which of the equations below could be the equation of this parabola?
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Answer:

the answer would be C.

Step-by-step explanation:

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