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adoni [48]
3 years ago
11

Y=23x+5 and y=x+3 what is the solution

Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0

Answer:

I solved this like you would a system of equations - if that is not the answer you need LMK

Point form:

(- 1/11, 32/11)

Equation Form:

x = -1/11, y = 32/11

Step-by-step explanation:

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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
If f ( x ) = 3x² - 5x + 7 , Show that f ( -1 ) = 3 f ( 1 ) .<br><br><br><br><br>Tysm :')​
Lelechka [254]

Solution :

  • 3x² - 5x + 7

put x = -1

  • 3(-1)² - 5(-1) + 7

  • 3(1) + 5 + 7

  • 3 + 12

  • 15

Now, put x = 1

  • 3(1)² - 5(1) + 7

  • 3(1) - 5 + 7

  • 3 + 2

  • 5

here :

  • f(-1) = 15

  • f(-1) = 3(5)

  • f(-1) = 3 f(1)

4 0
2 years ago
What’s 10% of 70 I really need the answer plz help!!!!!
egoroff_w [7]

7

10% of 70 is 7

hope this help

6 0
3 years ago
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SOMEONE PLEASE HELP!!!!!!!!<br> (Also please don't reply if you don't know)
svet-max [94.6K]

Answer: a coefficet is a number that has letters by it but you only put the number so anyone that a letter and a number youll put that one in the list

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP THIS IS DUE TOMORROW
Doss [256]

Answer:

is this the whole assignment because choose a question

8 0
3 years ago
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