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aleksklad [387]

4 years ago

13

Can someone explain to me why this is wrong? Why isn't x=1 the correct answer??

1 answer:

Maksim231197 [3]4 years ago

4 0

I think x = 1 is actually correct answer. Maybe contact teacher or something.

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Write the power set of the set A={a,b,c}

Burka [1]

Answer:

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

Step-by-step explanation:

➨ Power Set is the set of all subsets.

First, find the subset of A.

{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅

If you aren't sure that you already have written all subsets or not, use the following formula.

$2^n$ ➩ where n is the number of element/members.

Our number of members are 3, use the following formula.

$2^3=8$

Thus, our subsets should be 8.

As we've already gathered all subsets, write the braces all whole subsets.

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

8 0

3 years ago

If f(x)= x-3 over x and g(x)= 5x-4 what is the domain of (f•g)(x)

marusya05 [52]

Answer:

I attached the work to your problem below.

I hope it helps.

8 0

3 years ago

Which of the following has a constant of proportionality of 2?

denis-greek [22]

Linear fonction's equation : y = ax

So only in y = 2x
2 is the constant of <span>proportionality</span>

6 0

3 years ago

Read 2 more answers

The original price of a toaster is $18.00. If the toaster is marked down 25%, what is the new price?

Alla [95]

Answer:

$13.50

Step-by-step explanation:

First, we got to multiply $18 by 25% or .25

$18 x .25 = $4.50

Lastly, we just subtract $4.50 from $18.

$18 - $4.50 = $13.50

5 0

3 years ago

One positive number is 14 less than another positive number. If the reciprocal of the smaller number is added to five times the

Kipish [7]

Let's call the two numbers $s$ and $l$ .

Given these variables, we can say: $s = l - 14$ , based on the first sentence in the problem.

Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:

$\dfrac{1}{s} + 5\Big( \dfrac{1}{l} \Big) = \dfrac{1}{4}$

To solve, we can simply substitute $l -14$ in for $s$ in the second equation and solve.

$\dfrac{1}{l - 14} + \dfrac{5}{l} = \dfrac{1}{4}$

Set up

$\dfrac{l}{l(l - 14)} + \dfrac{5(l - 14)}{l(l - 14)} = \dfrac{1}{4}$

Get terms on the left side to a common denominator for easier addition

$\dfrac{l + 5l - 70}{l(l - 14)} = \dfrac{1}{4}$

Simplify

$4(6l - 70) = l(l - 14)$

Cross multiplication ( $\frac{a}{b} = \frac{c}{d} \Rightarrow ad = bc$ )

$24l - 280 = l^2 - 14l$

Simplify

$l^2 - 38l + 280 = 0$

Subtract $24l - 280$ from both sides of the equation

$(l - 10)(l - 28) = 0$

Factor left side of the equation

$l = 10, 28$

Zero Product Property

Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,

$s = 10 - 14 = -4$ ,

Since $s$ is not positive in this case, $l = 10$ is not a solution.

Thus, $l = 28$ is our only solution. In this case,

$s = 28 - 14 = 14$ ,

which means that the smaller number is 14 and the larger number is 28.

5 0

3 years ago