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Hitman42 [59]
3 years ago
15

Simultaneous equations: 3x-2y=9  5x-2y=7  

Mathematics
1 answer:
lisov135 [29]3 years ago
3 0
\left \{ {{3x-2y=9\ /\cdot(-1)} \atop {5x-2y=7\ \ \ \ \ \ \ \ }} \right.\\\\ \left \{ {{-3x+2y=-9} \atop {5x-2y=7}} \right.     \\--------\\-3x+5x=-9+7\\2x=-2\ /:2\\x=-1\\ \\5x-2y=7\\ 2y=5x-7\ \ \Rightarrow\ \ \ y= \frac{1}{2}\cdot[ 5\cdot(-1)-7]= \frac{1}{2}\cdot(-12)=-6\\ \\ \left \{ {{x=-1} \atop {y=-6}} \right.
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Find the sum or difference answers

1. Simplify or expand
(16m 4 - 8m + 3) + (-7m4 - m2 - 8)

16m4 - 8m + 3 - 7m4 - m2 - 8
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2. Simplify or expand
(3x2 - 5x + 9) + (2x2 + 9x -4)+ (7x- 11)
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3x2 - 5x + 9+ 2x2+9x - 4+7x-11
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3. Simplify or expand
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4. -7 -2+2x2+ 9x
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8 0
3 years ago
G(x)=f(x)+k,solve for k
vesna_86 [32]

Step-by-step explanation:

Top answer · 0 votes

f(g(x))=362−x−2k f(g(x))=x→362−x−2k=x→x2−2x(1−k)−4(k−9)=0 Solution for x are equal if and only if discriminant Δ=0 4(1−k)2+16(k−9)=0 ...  More

3 0
3 years ago
One side of a rectangle is 10 feet shorter than twice another side. Find the length of the shorter side if we also know the peri
seropon [69]

Answer:

  6 feet

Step-by-step explanation:

Let x represent the length of "another side." Then "one side" is ...

  2x -10 . . . . . . 10 feet shorter than twice another side

The sum of these two side lengths is half the perimeter, so is ...

  x + (2x -10) = 14 . . . . . two sides are half the perimeter

  3x = 24 . . . . . . . . . . . . add 10, collect terms

  x = 8 . . . . . . . . . . . . . . .divide by the coefficient of x

  (2x -10) = 2·8 -10 = 6 . . . . find "one side"

We have found "one side" to be 6 feet long, and "another side" to be 8 feet long. The shorter side is 6 feet.

8 0
3 years ago
Help me out pleaseee ​
spayn [35]

Answer:

Option B is the correct choice.

Step-by-step explanation:

The graph is attached below.

We have to find the x intercept meaning the value of the point onx-axis when y=0

So we will put the value of zero (0) instead of y in our given equation.

So here we have solved it algebraically.

y=\frac{3}{4}x-3

Putting y=0

0=\frac{3}{4}x-3

0=\frac{3x-12}{4}

Multiplying 4 both sides.

0=3x-12

Adding 12both sides.

12=3x

Dividing with 3 both sides.

x=\frac{12}{3}=4

So the x-intercept of the given equation is 4 which can be written as (4,0) in terms of coordinates.

Option B (4,0) is the correct choice.

8 0
3 years ago
(12,5)
adelina 88 [10]
Its the 4th one have a great day
8 0
3 years ago
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