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sergejj [24]
3 years ago
6

The function f(x) = -6x. The graph of g(x) is f(x)vertically stretched by a factor of 7 and reflected in the x-axis. What is the

function rule for g(x)?
A. g(x) = -6/7x

B. g(x) = 42x

C. g(x) = -42x

D. g(x) = 6/7x
Mathematics
2 answers:
geniusboy [140]3 years ago
4 0
B. g(x) = 42
A flip over the x-axis means you flip the sign. A stretch means you multiply the factor of stretch to the coefficient.
yulyashka [42]3 years ago
4 0

Answer:

option: B( g(x)=42 x)

Step-by-step explanation:

We are given a function f(x)= -6 x

Now the graph of g(x) is:  " f(x) vertically stretched by a factor of 7 and reflected in the x-axis" .

( we know that for any function f(x) the graph g(x) which is a <em>vertical stretch by a factor 'a' </em>is given by:

h(x)=a f(x)

now as the function is then <em>reflected in the x-axis</em> this means<em> </em>that the resultant function is given by:

g(x)= -h(x)  )

So here we are given a vertical stretch by a factor  '7'

⇒ h(x)=7 f(x)=7×(-6)x= -42 x

also now this function is reflected in the x-axis

Now the resultant function g(x) is given by:

g(x)= -h(x)

⇒ g(x)=42 x

Hence, option B is correct.




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Choose the graph which represents the solution to the inequality:<br> 3x + 8 ≥ 11
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Solution:

Given inequality:

3 x+8 \geq 11

To find the solution of the inequality:

3 x+8 \geq 11

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3 x+8-8 \geq 11-8

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8 0
3 years ago
A carnival charges two different prices for admissions. Adults cost $4 while children cost $1.50. If a total of $5050 was collec
GenaCL600 [577]

Answer:

Step-by-step explanation:

We have to have 2 different equations to solve this.  One equation will represent the number of tickets sold while the other represents the money collected when the tickets were sold.

We know that adult tickets + children tickets = 2200 tickets.

That's the "number of tickets" equation.  Let's call adult tickets "a" and children's tickets "c".  So a + c = 2200

Now if each adult costs $4, then the expression that represents that as a cost is 4a.  If there is 1 adult, the cost is $4(1) = $4; if there are 2 adults, the cost is $4(2) = $8; if there are 3 adults, the cost is $4(3) = $12, etc.

The same goes for the children's tickets.  If each child's ticket is $1.50, then the expression that represents the cost of a child's ticket is 1.5c (we don't need the 0 at the end; it doesn't change anything to drop it off).  The total money brought in from the cost of these tickets was $5050, so

4a + 1.5c = 5050

Let's solve the first equation for a.  If a + c = 2200, then a = 2200 - c.  Sub that into the second equation and solve it for c:

4(2200 - c) + 1.5c = 5050 and

8800 - 4c + 1.5c = 5050 and

-2.5c = -3750 so

c = 1500

That means that there were 1500 children's tickets sold.  If a + c = 2200, then a + 1500 = 2200 so

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Answer:

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Step-by-step explanation:

The given system is

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We want to solve the system for x and y that makes the system true.

Let us multiply the first equation by 3 while maintaining the second equation:

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From the second equation we have:

3x = 3y

This implies that:

x = y =  - 2.25

8 0
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