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Juli2301 [7.4K]
3 years ago
15

What is the x-coordinate of the point where the lines x=4y-8 and 1/2x+y=11 interscent? x=?

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0

Answer:

x = 52

Step-by-step explanation:

To answer this question, we need to set up a system of linear equations:

x = 4y - 8

(1/2)x + y = 11          (Note:  Please use (  ) around fractions such as this 1/2, to                    

                                  eliminate possible ambiguity)

We want to find the x-coordinate, so should start by elilminating y from this system of equations.  

Do this by multiplying the 2nd equation by -4.  This results in

-2x - 4y = -44

Combine this result with x = 4y - 8:

  x = 4y - 8

-2x - 4y = -44

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

-x          = -52   (Notice how the "y" terms cancel each other out.)

Dividing both sides by -1 produces the desired answer:  x = 52

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Using f(x) = 8x + 5 and g(x) = 7x - 2, find:g(f(6))
iren2701 [21]

Answer:

369

Step-by-step explanation:

g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).

and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).

f(6) = 8×6 + 5 = 48 + 5 = 53

and now

g(53) = 7×53 - 2 = 371 - 2 = 369

to check we do the general functional substitution :

g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33

g(f(6)) = 56×6 + 33 = 336 + 33 = 369

correct

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3 years ago
How do you write 283,980 in expanded form
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6 0
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Wewaii [24]

Answer:

C

Step-by-step explanation:

Slope of a line that goes trough the points (x1=9, y1=1) and (x2=17, y2=2)

m= (y2-y1)/(x2-x1) = (2-1) / (17-9) = 1/8

3 0
3 years ago
The width of a rectangle is 8 inches and the perimeter is 26 inches. What is the length of the rectangle?
fredd [130]

Length of the rectangle is 5 inches

Step-by-step explanation:

  • Step 1: Perimeter of the rectangle = 26 in and width = 8 in. Find the length.

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13 = length + 8

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3 years ago
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