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charle [14.2K]
3 years ago
13

Solve the system of equations algebraically. Verify your answer using the graph.

Mathematics
2 answers:
nirvana33 [79]3 years ago
6 0
Both of those equations are solved for y.  So if the first one is equal to y and the second one is equal to y, then the transitive property says that the first one is equal to the second one.  We set them equal to each other and solve for x.  4x-5=-3 and 4x = 2.  That means that x = 1/2.  We were already told that y = -3, so the coordinates for the solution to that system are (1/2, -3), B from above.
KonstantinChe [14]3 years ago
5 0
Hello!

Since we already know the value of y we need to find x. We can plug in the y-value of -3 in the first equation and solve for x. 

-3=4x-5
2=4x
x=1/2

This gives us the ordered pair (1/2,-3), so our answer is B. (1/2, -3).
.
I hope this helps!

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What is the answer for -2(4x-4)+x
mezya [45]

Multiply the -2 with whats inside the brackets first, then simplify the equation.

-8x + 8 + x

-7x + 8

3 0
3 years ago
What is 1/3 of 30% of 5/6 of 0.6 of 12?
aliina [53]

Step-by-step explanation:

\frac{1}{3 } \times  \frac{30}{1}  = 10 \\  \\  \frac{10}{1}  \times  \frac{5}{6}  = 8.33 \\  \\  \frac{833}{100}  \times  \frac{6}{10}  = 4.998 \\  \\  \frac{4998}{1000}  \times  \frac{12}{1}  = 59.976

8 0
3 years ago
For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
Rashid [163]
Our equation for this table could be an equation in slope-intercept form:
y=mx+b
m=slope of the line:
b=y-intercept.

1) we have to calculate the slope of this line.
We need two points, you can choose two points of this table, for example:
the points (4,6) and (10,15)

m=(y-y₀)/(x-x₀)
m=(15-6)/(10-4)
m=9/6
m=3/2

2) we have to find "b";
We have this equation:
y=3/2 x +b

Now, we choose any point of this table; For example (8,12), now we find "b",
y=3/2 x+b
12=3/2 (8)+b
12=12+b
b=12-12
b=0

Therefore: the equation would be y=3/2 x 

More easy:
if y vary directly with x, then: y=(y₂-y₁)/(x₂-x₁) x
You choose any two points of this table:
(8,12)
(10,15)

y=(15-12)/(10-8) x
y=3/2 x

Answer: y=3/2 x
5 0
3 years ago
If (x, y) is a solution to the system of equations, what is the value of x? 2x + 1/ 2 y = 2 1/ 2 x + 2y = 6
Veseljchak [2.6K]

Answer:

  C) 4/15

Step-by-step explanation:

The two equations ...

  • 2x + 1/2y = 2
  • 1/2x + 2y = 6

can be solved for x using Cramer's rule:

  x = (2·2 -1/2·6)/(2·2 -1/2·1/2) = (4-3)/(4-1/4) = 1/(15/4)

  x = 4/15

_____

Cramer's rule for the solution to ...

  • ax +by = c
  • dx +ey = f

is ...

  • ∆ = ae-db
  • x = (ce -fb)/∆
  • y = (fa-dc)/∆
6 0
3 years ago
Need help ASAP I will give 20 points please
marshall27 [118]

Answer:

Step-by-step explanation:

volume of cylinder=πr^2h

=3.14*4=2^2*6

=4=3.14*4*6

=3.14*24

=75.36

=75.4 inches ^3

=

4 0
3 years ago
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