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lorasvet [3.4K]
3 years ago
14

Help please thank you

Mathematics
1 answer:
slega [8]3 years ago
3 0
Equivalent property
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2x (x - 4) (x + 1). A=2, B=-4, C=1
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Victoria whit used 578 kw-hr of electricity in December the rate is 9.1 cents per kw-hr find the amount of her electric bill
MatroZZZ [7]

Answer:

The amount of electricity bill is <u>$52.60</u>.

Step-by-step explanation:

Given:

Victoria whit used 578 kwh of electricity.

The rate is 9.1 cents per kw-hr.

Now, to find the amount of her electric bill.

Electricity used = 578 kwh.

Rate of electricity = 9.1 cents per kw-hr.

So, to get the amount we multiply the electricity used by the rate of electricity:

Amount\ of\ electric\ bill=Electricity\ used\times rate\ of\ electricity

Amount\ of\ electric\ bill=578\ kwh\times 9.1\ cents

Amount\ of\ electric\ bill=5259.8\ cents.

Thus, the amount of electricity bill = 5259.8 cents.

Now, converting the amount from cents to $ by dividing:

$1 = 100 cents.

So, 5259.8 cents ÷ 100 = $52.60 .

therefore, the amount of electricity bill is $52.60.

3 0
3 years ago
Which of the following graphs could represent a cubic function?
xeze [42]

Answer:

A

Step-by-step explanation:

Here, we want to select which of the graph represents a cubic equation

Graphs B and C looks parabolic and thus, they probably will represent a quadratic equation

Graph D represents a straight line equation

Graph A represents a cubic function due to its shape

So our answer is graph A only

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SOMEONE PLEASE HELP ME ANSWER QUESTION 7
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Dada a função f(x) = ax + b e sabendo-se que f(3) = 5 e f(-2) = -5 calcule f(½)
d1i1m1o1n [39]

Answer:

f(1/2)=0

Step-by-step explanation:

Given this function:

f(x)=ax+b

We need to find the value of:

f(1/2)

This is really simple because the problem give us the following data:

f(3)=5\\\\and\\\\f(-2)=-5

Using this data we can write a 2x2 system of equations like this:

Let:

f(3)=5=a(3)+b\\\\\rightarrow3a+b=5\hspace{10}(1)

and

f(-2)=5=a(-2)+b\\\\\rightarrow-2a+b=-5\hspace{10}(2)

Our system will be:

3a+b=5\hspace{28}(1)\\-2a+b=-5\hspace{10}(2)

We can solve this system using different methods, however I will use elimination method because I believe it is really simple. So:

(1)-(2)\\\\5-(-5)=3a-(-2a)+b-b\\\\10=5a\\\\Solving\hspace{3}for\hspace{3}a\\\\a=\frac{10}{5} =2

Replacing a into (1)

3(2)+b=5\\\\6+b=5\\\\Solving\hspace{3}for\hspace{3}b\\\\b=5-6=-1

Now we found the values of a and b, our function is given by:

f(x)=2x-1

Let's verify it:

f(3)=2(3)-1=6-1=5

f(-2)=2(-2)-1=-4-1=-5

As you can see the function satisfies the data provided by the problem. So we can conclude that it is correct.

Finally, let's find f(x) for x=1/2 :

f(1/2)=2(\frac{1}{2} )-1=\frac{2}{2} -1=1-1=0

Hence:

f(1/2)=0

3 0
4 years ago
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