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3 years ago

14

Look at rectangle PQRS below. If point S is reflected over the y-axis, what would be the coordinates of the reflection of point

S?
Caprioles Image
(-1, 3)
(-4, 3)
(4, -3)
(4, -6)

1 answer:

sukhopar [10]3 years ago

8 0

Answer:

C

Step-by-step explanation:

Trust Me i did the test and got it correctomundo

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Mark and don are planning to sell each of their marble collections at a garage sale. if don has 2 more than 4 times the number o

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If the total number of marbles is 102, Mark has 20 marbles while Don has 82 marbles.

To answer this word problem, read and understand first the problem.

"Don has 2 more than 4 times the number of marbles Mark has."

Out of this statement, we can come up with the expression,

Don = 2 + (4 x Mark) (equation 1)

Next, the total number of marbles they have is 102.

Don + Mark = 102 (equation 2)

From this expression, if we subtract the number of marbles Mark has from the total number, we can get the number of marbles Don has.

Don = 102 - Mark (equation 3)

Equating the 1st and 3rd equation,

Don = 2 + (4 x Mark) = 102 - Mark

2 + (4 x Mark) = 102 - Mark

let x = Mark's

2 + (4x) = 102 - x

4x + x = 102 - 2

5x = 100

x = 20

Mark has 20 marbles.

Meanwhile, use either the 1st or 3rd equation to know the number of marbles Don has.

Don = 102 - Mark (equation 3)

Don = 102 - 20

Don = 82

For more examples of mathematical expressions to solve word problems:, brainly.com/question/13818690.

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2 years ago

Item 5 Let f(x)=2 (3) x+1 +4 . The graph of f(x) is stretched vertically by a factor of 2 to form the graph of g(x) . What is th

insens350 [35]

Answer:

$g(x)=4(3)^{x+1}+8$

Step-by-step explanation:

Given:

The original function is given as:

$f(x)=2(3)^{x+1}+4$

The above function is stretched vertically by a factor of 2 to form the graph of $g(x)$ .

According to the rule of function transformations, when the graph of a function is stretched in the vertical direction by a factor of 'C', where, 'C' is a number greater than 1, then the function rule is given as:

$f(x)\to Cf(x)$

Therefore, the function is multiplied by a factor of 'C' to get the equation of the stretched function.

Here, the the value of 'C' is 2. So, the equation of $g(x)$ is given as:

$g(x)=2f(x)\\g(x)=2[2(3)^{x+1}+4]\\g(x)=4(3)^{x+1}+8$

Therefore, the equation of $g(x)$ is $g(x)=4(3)^{x+1}+8$ .

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0=0, all numbers are solutions

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