If a = b + 2, then (b - a)⁴ = ?

1 answer:

8 0

Use substitution.

anywhere you see "a" , than you would plug in b + 2 in for it so....

(b - (b + 2)^4

now take the negative sign and distribute it "+"

so b - b is 0, than 0 - (-2) is -2.

so what is (-2)^4 ????? it would become positive 16

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You have quarters and dimes that total $2.80. your friends says its possible that the number of quarters is 8 more than the numb

Sidana [21]

$\text{Let the number of dimes be x, then as per the friend the number of }\\
\text{quarters should be 8 more than dimes, so number of quarters}=x+8\\
\\
\text{we know that the value of 1 dime is }\$ 0.10 \text{ value of one quarter is }\$0.25\\
\\
\text{And since the total value of quarters and dimes is }\$2.80, \text{ so we have}\\
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0.10(x)+0.25(x+8)=2.80\\
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\Rightarrow 0.10x+0.25x+2=2.80\\
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\Rightarrow 0.35x=2.80-2\\
\\
\Rightarrow 0.35x=0.80$

$\Rightarrow x=\frac{0.80}{0.35}=2.29\\
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\text{so if we take 2 dimes then we'll have to take 10 quarters according to friend.}\\
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\text{So the statement of friend is }$ WRONG

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3 years ago

Model the expression as groups of x + 2. There are x tiles. There are + 1 tiles. The equivalent expression is .

frez [133]

Answer:

x + 2 = 3

Step-by-step explanation:

x is always = to 1

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3 years ago

Read 2 more answers

Is the following statement correct? Explain.

Maksim231197 [3]

Answer: The answer is NO.

Step-by-step explanation: The given statement is -

If the graph of two equations are coincident lines, then that system of equations will have no solution.

We are to check whether the above statement is correct or not.

Any two equations having graphs as coincident lines are of the form -

$ax+by=c,\\\\dax+dby=dc,\\\\\textup{where}~~d\neq 1.$

If we take d = 1, then both the equations will be same.

Now, subtracting the second equation from first, we have

$a(1-d)x+b(1-d)y=c(1-d)\\\\\Rightarrow ax+by=c,~\textup{since}~d\neq 1,~\textup{so}~1-d\neq 0.$

Again, we will get the first equation, which is linear in two unknown variables. So, the system will have infinite number of solutions, which consists of the points lying on the line.

For example, see the attached figure, the graphs of following two equations is drawn and they are coincident. Also, the result is again the same straight line which has infinite number of points on it. These points makes the solution for the following system.

$2x+5y=10,\\\\6x+15y=30.$