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notsponge [240]
3 years ago
6

A pair of equations is shown below:

Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0
So, both equations are essentially linear equations.
Linear equations are written in the format y = mx+b, where m represents the slope/slope intercept and b represents the y-intercept.
---------------------------------------------------------------------------------------------------------------
Part A
the slope and y-intercept

y = mx +b
m - the slope; b- y-intercept

therefore;

y = 6x - 4
m = 6; b = -4

y = 5x - 3
m = 5; b = -3

The coordinates of the point where the lines are crossed are the solution to the system of linear equations.

How to graph the lines:
y = 6x - 4
y-intercept (0; -4)
for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)

y = 5x - 3
y-intercept (0; -3)
for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)

***look at the img for graph reference***

Part B: x = 1; y = 2

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Which expression correctly represents “six more than the product of five and a number, decreased by one”?
Nataly_w [17]

Answer:

Step-by-step explanation:

Product of 5 and a number:  5n

Six more than that would be 5n + 6

Finally, "six more than the product of 5 and a number, decreased by one" would be

5n + 6 - 1, or 5n + 5

7 0
2 years ago
The function g(x)=(x-2^2. The function f(x)=g(x) +3
OlgaM077 [116]
The parent function is:
 y = x ^ 2
 Applying the following function transformation we have:
 Horizontal translations:
 Suppose that h> 0
 To graph y = f (x-h), move the graph of h units to the right.
 We have then:
 g (x) = (x-2) ^ 2
 Then, we have the following function transformation:
 Vertical translations
 Suppose that k> 0
 To graph y = f (x) + k, move the graph of k units up.
 We have then that the original function is:
 g (x) = (x-2) ^ 2
 Applying the transformation we have
 f (x) = g (x) +3
 f (x) = (x-2) ^ 2 + 3
 Answer:
 
the function f(x)  moves horizontally 2 units rigth.
 
The function f (x) is shifted vertically 3 units up.
4 0
3 years ago
Which ordered pair is the solution to the system of equations?
Tcecarenko [31]
The best way to answer this item is to use the Substitution method. Substitute the value of y from the first equation to the y of the second equation such that the second equation becomes,

     -4x + 3(x - 4) = -3

Simplifying the equation,
    -x = 9

Dividing both sides by -1 gives an answer of,
   <em>x = -9</em>

Then, substitute the value of x in the first equation.
    y = -9 - 4
   <em> y = -13</em>

The answer to this item is letter B. 


6 0
2 years ago
Read 2 more answers
Please help
kotykmax [81]
C it is c ajdbdiwdidnwisnxidnend
4 0
3 years ago
Read 2 more answers
Can someone help me. ​
marshall27 [118]

Answer:

B

Step-by-step explanation:

yeah just pick B man lol

7 0
3 years ago
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