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ivanzaharov [21]
3 years ago
7

Which function represents transforming ƒ(x) = 3x with a reflection over the x-axis and a vertical shift of 4 units?

Mathematics
1 answer:
Oxana [17]3 years ago
4 0

Answer:

D. h(x)=-3x+4

Step-by-step explanation:

we are given

f(x)=3x

Firstly, it is reflected over x-axis

we know that for reflection about x-axis , we can replace y as -y

we get

g(x)=-f(x)

g(x)=-3x

now, it is vertical shift up by 4 units

so, we can add 4 to y-value

we get

h(x)=g(x)+4

h(x)=-3x+4

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ANSWER

30\%


EXPLANATION

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From the graph the total frequency is,

39+117+78+26 =260

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The percentage of students who intend to go into state or local government after graduation

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=  \frac{3}{10}  \times 100\%

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Answer:

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Step-by-step explanation:

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2 years ago
A boy has only dimes and quarters in his piggy bank. if he has 70 coins worth 12 dollars and 40 cents altogether, how many quart
dlinn [17]

Let us bear in mind the equivalent value of these coins: 

One dime = $0.10 

One quarter = $0.25 

Let x = number of dimes 

        y<span> = number of quarters</span> 

Since the boy has 70 coins in total, we can say that: 

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Since the boy has a total of $12.40, we can say that: 

0.10x + 0.25y = 12.40 

To solve this problem, we need to solve this system of equation. We have to substitute the value of x as written in the first equation (x = 70 –y) 

0.10(70 – y) + 0.25y = 12.40 

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X = 34 

Therefore,<span> the boys </span>has<span> 34 dimes and 36 quarters. To check our answer, we just have to check if his money would total $12.40.</span> 

34 dimes = $3.40 

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3 years ago
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