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1 year ago

Write a verbal expression for 3n - 8.

Mathematics

1 answer:

Alchen [17]1 year ago

6 0

(B) 8 less than the product of 3 and n

Here, we are given an equation 3n - 8

Let us consider each of the options one by one

(A) the product of 3, n and 8 will be written as 24n. Hence this isn't the correct answer.

(B) 8 less than the product of 3 and n will be written as 3n - 8. This matches our equation and hence is the correct answer.

(D) 3 times n less than 8 will be written as 8 - 3n. Thus, this is also eliminated.

Therefore, option B is the correct answer.

Learn more about expressing equations here-

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stepladder [879]

(f o g)(x)=f(g(x))

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3 years ago

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Step-by-step explanation:

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3 years ago

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3 years ago

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What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y

Gekata [30.6K]

Answer:

$y=\displaystyle-\frac{4}{3}x+22$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept
Parallel lines always have the same slope (m)

Determine the slope (m):

$y=\displaystyle-\frac{4}{3}x -1$

The slope of the given line is $\displaystyle-\frac{4}{3}$ , since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be $\displaystyle-\frac{4}{3}$ . Plug this into y=mx+b:

$y=\displaystyle-\frac{4}{3}x+b$

Determine the y-intercept (b):

$y=\displaystyle-\frac{4}{3}x+b$

To find the y-intercept, plug in the given point (6,14) and solve for b:

$14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22$

Therefore, the y-intercept of the line is 22. Plug this back into $y=\displaystyle-\frac{4}{3}x+b$ :

$y=\displaystyle-\frac{4}{3}x+22$

I hope this helps!

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3 years ago

Y = - 3x + 6

dusya [7]

Answer:

Step-by-step explanation:

systems of linear equations can only have 0, 1, or an infinite number of solutions. These two lines cannot intersect twice. The correct answer is that the system has one solution.

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3 years ago