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Snezhnost [94]
3 years ago
11

Solve each system using substitution. 3x+2y=23 1/2x-4=y

Mathematics
2 answers:
weqwewe [10]3 years ago
5 0
\left\{\begin{array}{ccc}3x+2y=23&(1)\\y=\frac{1}{2}x-4&(2)\end{array}\right\\\\subtitute\ (2)\ to\ (1)\\\\3x+2(\frac{1}{2}x-4)=23\\3x+x-8=23\\4x-8=23\ \ \ \ |add\ 8\ to\ both\ sides\\4x=31\ \ \ \ \ |divide\ both\ sides\ by\ 4\\\boxed{x=7.75}\\\\subtitute\ the\ value\ of\ "x"\ to\ (2)\\\\y=\frac{1}{2}(7.75)-4\\y=3.875-4\\\boxed{y=-0.125}\\\\Answer:\boxed{  \left\[\begin{array}{ccc}x=7.75\ (7\frac{3}{4})\\\\y=-0.125\ (-\frac{1}{8})\end{array}\right}
Harman [31]3 years ago
5 0
1: 3x+2y=23
2: 1/2x-4=y
We have that y=1/2x-4 in 2
So lets substitu y in 1
3x+2(1/2x-4)=23
3x+x-8=23
4x=23+8
4x=31
X = 7,75
Now lets replace x in 2:
1/2.7,75-4=y
3,875-4 + y
Y= - 0,125
So (x;y)=(7,75;-0.125)
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5 = 1 and 5 in a fraction and w
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5 * 5 = 25
    Then we get...
25 = w

There's your answer!

7 0
3 years ago
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Divide and give the answer in scientific notation. 8.4 x 107 3 x 103 A) 5.4 x 10-4 B) 5.4 x 1021 C) 2.8 x 10-4 D) 2.8 x 104
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3 0
3 years ago
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70 POINTS!
Sunny_sXe [5.5K]
Notation

The inverse of the function f is denoted by f -1 (if your browser doesn't support superscripts, that is looks like f with an exponent of -1) and is pronounced "f inverse". Although the inverse of a function looks like you're raising the function to the -1 power, it isn't. The inverse of a function does not mean the reciprocal of a function.

Inverses

A function normally tells you what y is if you know what x is. The inverse of a function will tell you what x had to be to get that value of y.

A function f -1 is the inverse of f if

<span><span>for every x in the domain of f, f<span> -1</span>[f(x)] = x, and</span><span>for every x in the domain of f<span> -1</span>, f[f<span> -1</span>(x)] = x</span></span>

The domain of f is the range of f -1 and the range of f is the domain of f<span> -1</span>.

Graph of the Inverse Function

The inverse of a function differs from the function in that all the x-coordinates and y-coordinates have been switched. That is, if (4,6) is a point on the graph of the function, then (6,4) is a point on the graph of the inverse function.

Points on the identity function (y=x) will remain on the identity function when switched. All other points will have their coordinates switched and move locations.

The graph of a function and its inverse are mirror images of each other. They are reflected about the identity function y=x.

6 0
3 years ago
What the x?10x-45=7x
Olin [163]

Answer:

15

Step-by-step explanation:

5 0
3 years ago
Find an expression which represents the difference when (-x+9y) is subtracted from (-6+4y)
Kay [80]

Answer:

x - 5y - 6

Step-by-step explanation:

- 6 + 4y - ( - x + 9y) ← distribute parenthesis by - 1

= - 6 + 4y + x - 9y ← collect like terms

= x - 5y - 6

6 0
3 years ago
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