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ExtremeBDS [4]
3 years ago
10

Given the function g(x) = -3x+1 Find x if g(x) = 16

Mathematics
2 answers:
Aleks04 [339]3 years ago
5 0

Answer:

x = -5

Step-by-step explanation:

g(x) = -3x+1

g(x) = -3(-5) + 1

g(x) = 15 + 1

g(x) = 16

Valentin [98]3 years ago
5 0
If g(x) equals 16, then by replacing x with -5:

(-3•-5) + 1
15+1
=16

Which means that

x in g(x) equals -5
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Find a vector parametrization for the line with the given description. Perpendicular to the yz-plane, passes through (0, 0, 8)
Brilliant_brown [7]

Answer:

\left\{\begin{array}{l}x=t\\ \\y=0\\ \\z=8\end{array}\right.

or

\overrightarrow{(t,0,8)}

Step-by-step explanation:

yz-plane has the equation x=a, where a is a real constant. The normal vector of this plane (vector perpendicular to the plane) is

\overrightarrow {n}=(1,0,0)

If the line is perpendicular to this plane, then it is parallel to the normal vector, so the equation of this line is

\dfrac{x-x_0}{1}=\dfrac{y-y_0}{0}=\dfrac{z-z_0}{0},

where (x_0,y_0,z_0) are coordinates of the point the line is passing through.

In your case, the line is passing through the point (0,0,8), so the canonical equation of the line is

\dfrac{x-0}{1}=\dfrac{y-0}{0}=\dfrac{z-8}{0}

Write a vector parametrization for this line

\left\{\begin{array}{l}\dfrac{x-0}{1}=t\\ \\\dfrac{y-0}{0}=t\\ \\\dfrac{z-8}{0}=t\end{array}\right.\Rightarrow \left\{\begin{array}{l}x=t\\ \\y=0\\ \\z=8\end{array}\right.

3 0
3 years ago
Subtract. Write the difference in simplest form.<br><br>(5n - 3) - (-2n + 7)​
kolezko [41]

Answer:

Simplifying

(5n + -3) + -1(-2n + 7) = 0

Reorder the terms:

(-3 + 5n) + -1(-2n + 7) = 0

Remove parenthesis around (-3 + 5n)

-3 + 5n + -1(-2n + 7) = 0

Reorder the terms:

-3 + 5n + -1(7 + -2n) = 0

-3 + 5n + (7 * -1 + -2n * -1) = 0

-3 + 5n + (-7 + 2n) = 0

Reorder the terms:

-3 + -7 + 5n + 2n = 0

Combine like terms: -3 + -7 = -10

-10 + 5n + 2n = 0

Combine like terms: 5n + 2n = 7n

-10 + 7n = 0

Solving

-10 + 7n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + 7n = 0 + 10

Combine like terms: -10 + 10 = 0

0 + 7n = 0 + 10

7n = 0 + 10

Combine like terms: 0 + 10 = 10

7n = 10

Divide each side by '7'.

n = 1.428571429

Simplifying

n = 1.428571429

3 0
3 years ago
1. Find the surface area of the square pyramid shown below?
Igoryamba

Answer:

1. 40.00 sq units

2. 37.5 sq units

Step-by-step explanation:

1. Given slant height as 3 and the square base side as 4,

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Area=Area \ Triangles+Base  \ Area\\\\=4(\frac{1}{2}bh)+s^2\\\\=4(0.5\times 4\times 3)+4^2\\\\=24+16\\\\=40

Hence, the area of the square pyramid is 40.00 sq units

2. The surface area of a cube is equivalent to 6 times the side of one face.

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A=6s^2\\\\=6(2.5\times2.5)\\\\=37.5

Hence, the surface area of the cube is 37.5 sq units

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3 years ago
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Mamont248 [21]

Answer:

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Step-by-step explanation:

here are the steps

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