2 years ago

Convince me why points B&C are solutions to this system of linear inequalities.

1 answer:

muminat2 years ago

3 0

The coordinates of B and C are solutions to the system of inequalities because both are true to the two inequalities. A is not a solution to the system of inequalities because it is only true to “y is less than or equal to 2x”.

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Explain why multiplying a fraction by 5/6 results in a value that is less than the original fraction

Ivahew [28]

Answer:

Step-by-step explanation:

(5/6) itself is less than 1 (but greater than 0). Thus, anything multiplied by (5/6) will result in a smaller-by-magnitude quantity.

For example, (5/6)(3/4) is LESS than 3/4 because 5/6 is greater than zero but less than 1.

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3 years ago

each batch of mrs.claus toffee makes 14 pieces of toffee if the elves need 8 dozen pieces of toffee how many batches does mrs.cl

Radda [10]

Mrs Claus must make 7 batches

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3 years ago

Read 2 more answers

Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.

dedylja [7]

g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).

Which means that our equation for f(x) is:

$\large{f(x) = x}$

Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.

$\large{f(x + k) = x + k }\\ \large{g(x) = x + k}$

Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.

$\large{g(x) = x + 4}$