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2 years ago

Find the x-intercept and the y-intercept of 2x + 6y =24

Mathematics

1 answer:

viktelen [127]2 years ago

4 0

Answer:

x-intercept = 12, y-intercept = 4

Step-by-step explanation:

To find the x and y intercept, substitute 0 in for both values.

Substitute 0 into x:

2(0) + 6y = 24

6y = 24

Divide each side by 6:

y = 4

Substitute 0 into y:

2x + 6(0) = 24

2x = 24

Divide each side by 2:

x = 12

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Use binomial theorem to expand (2+X)5 in ascending powers of x up to the terms containing x3 and Use your expansion to find (1.

TEA [102]

Answer:

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5 0

2 years ago

If you invest $1,000 in an account paying 4% interest compounded quarterly,lhow much money will you have after 3 years? A.)$1,50

polet [3.4K]

Answer:

C is closest to the actual result, $1126.03.

Step-by-step explanation:

Use the Compound Amount formula: A = P(1 + r/n)^(nt), where:

P is the original principal; r is the interest rate as a decimal fraction; n is the number of compounding periods per year, and t is the number of years.

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2 years ago

Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x + 6)? T

Alenkasestr [34]

Answer:

The graph of y = f(x) will shift left 6 units, as shown in figure a.

Step-by-step explanation:

A translation means we are able to move the graph of a function up or down - normally called Vertical Translation - and right or left - commonly called Horizontal Translation.

If we replace the graph of y = f(x) with the graph of y = f(x + 6). It means we have added 6 units to the input, meaning the graph y = f(x) will shift left by 6 units as 6 is being added directly to the x, so it is f(x + 6).

For example, if y = x² is the original function and of 6 is directly added to x i.e. f(x + 6), making it y = (x + 6)². So, we can easily observe that there will be a horizontal translation left of 8 units, as shown in figure a.

So, the graph of y = f(x) will shift left 6 units.

Keywords: graph shift, translation

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