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gayaneshka [121]
3 years ago
10

If f(x)=3×+4 and g(x)=-×+1 what is f(g(2))f:1g:2h:-1j:-2​

Mathematics
1 answer:
Sergio039 [100]3 years ago
6 0

Answer:

-x+8

Step-by-step explanation:

Distribute

3x+(4)(−x)+(4)((1)(2))

=3x+−4x+8

Combine Like Terms:

=3x+−4x+8

=(3x+−4x)+(8)

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Solve for x, y, and z. <br> y=1/2z<br> x+2y+5z=2<br> 3x+6y-3z=9
Contact [7]
Rearrange the equation,

0x + y - ½z = 0 ==> Equation 1
x + 2y + 5z = 2 ==> Equation 2
3x + 6y - 3z = 9 ==> Equation 3

Put the 3 equation in matrix form,

0\ \ \ \ \ 1\ \ -{\frac{1}{2} }\ \ \ \ \ \ \ \ 0 \\ 1\ \ \ \ \ 2\ \ \ \ \ \ \ 5\ \ =\ 2 \\ 3\ \ \ \ \ 6\ \ -3\ \ \ \ \ \ \ \ \ 9

Find the determinant, D, of the matrix,

0\ \ \ \ \ 1\ \ -{\frac{1}{2} } \\ 1\ \ \ \ \ 2\ \ \ \ \ \ \ 5\ = \ D \\ 3\ \ \ \ \ 6\ \ -3

By Sarrus' rule,
D = [(0 × 2 × -3) + (1 × 5 × 3) + (-½ × 1 × 6)] - [(-½ × 2 × 3) + (5 × 6 × 0) + (-3 × 1 × 1)]
D = [0 + 15 + (-3)] - [(-3) + 0 + (-3)]
D = 12 + 6
D = 18

By cramer's rule,

x = Determinant of x ÷ D
Let determinant of x = Dx,

0\ \ \ \ \ 1\ \ -{\frac{1}{2} } \\ 2\ \ \ \ \ 2\ \ \ \ \ \ \ 5\ = \ Dx \\ 9\ \ \ \ \ 6\ \ -3
To get this determinant, substitude 0, 2 and 9 with the unknown you're finding, in this case, x.

By Sarrus' rule,
Dx = [(0 × 2 × -3) + (1 × 5 × 9) + (-½ × 2 × 6)] - [(-½ × 2 × 9) + (0 × 5 × 6) + (-3 × 1 × 2)]
Dx = [0 + 45 + (-6)] - [-9 + 0 + (-6)]
Dx = 39 + 15
Dx = 54

x = Dx ÷ D
x = 54 ÷ 18
x = 3

By cramer's rule,

y = Determinant of y ÷ D
Let determinant of y = Dy

0\ \ \ \ \ 0\ \ -{\frac{1}{2} } \\ 1\ \ \ \ \ 2\ \ \ \ \ \ \ 5\ = \ Dy \\ 3\ \ \ \ \ 9\ \ -3

By Sarrus' rule,
Dy = [(0 × 2 × -3) + (0 × 5 × 3) + (-½ × 1 × 9)] - [(-½ × 2 × 3) + (5 × 9 × 0) + (-3 × 0 × 1)
Dy = [0 + 0 - 4½] - [-3 + 0 + 0]
Dy = -4½ + 3
Dy = -1½

y = Dy ÷ D
y = -1½ ÷ 18
y ≈ 0.0833 (3 significant figure)

Solving z using equation rule,
y = ½z
0.0833 = ½z
z = 0.0833 ÷ ½
z ≈ 0.167 (3 significant figure)

∴ x = 3, y = 0.0833 and z = 0.167.
7 0
3 years ago
Consider the following two quantities:
inessss [21]

The slope of the line is -2.5 and the y-intercept is 2. This shows that the Quantity B is greater that A

<h3>How to find the intercept of a line</h3>

The intercept is the point where the line intersects

Determine the slope of the graph using the coordinate points (0, 2) and (0.8, 0)
Slope = -2/0.8
Slope = -2.5

The slope of the line is -2.5 and the y-intercept is 2

This shows that the Quantity B is greater than A

Learn more on equation of a line here:brainly.com/question/13763238

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A factory found that 6 out of 200 cars have bad brakes. The factory
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Answer = (A) about 30

1000/200 = 5

5 x 6 = 30
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Jklm is a parallelogram find each measure
sammy [17]
The measure is one hundred eighty
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Identify an equation in slope-intercept form for the line parallel to y=-3x+7
Anit [1.1K]

Answer:

y + 4 = -3(x -2)

Step-by-step explanation:

A line parallel to y = -3x + 7 also has a slope of -3.

Use the point-slope formula:

y - k = m(x - h)

Inserting the given info, we get:

y + 4 = -3(x -2)

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