Substituting y=6x+2 into equation 3y - 18x =12 looks like:
3(6x + 2) - 18x = 12
18x + 6 - 18x = 12 distributive property left side
6 = 12 simplifying the left side
We now see a contradiction: 6 does not equal 12 What this tells us is that there is no solutions to this equation. So choice 'C' ...
Answer: 81a^8b^12
Step-by-step explanation:
When you have an exponent to an exponent multiply the exponents.
(3a^2b^3)^4
=81a^8b^12
Ed
To do this problem, you need to raise each of the individual terms inside the parentheses
to the 4th power.
In other words:
Now you can recognize that 3%5E4 is 3*3*3*3 and this product is 81. So you can substitute
81 in place of 3%5E4 and the problem is reduced to:
.
81%2A%28a%5E2%29%5E4%2A+%28b%5E3%29%5E4
.
Next look at %28a%5E2%29%5E4. You can get an equivalent form of this by multiplying the exponent
4 by the exponent 2 to get a%5E8. You can also think of %28a%5E2%29%5E4 as being a%5E2
The vertex is (-4,-3)
The axis of symmetry is x=-4
and the transformations are:
The probability that the event management company will sign the contract with the dance studio is; c. 0.024
<h3>How to solve binomial probability?</h3>
The general formula for binomial Probability is;
P(X = x) = ⁿCₓ * pˣ * (1 - p)⁽ⁿ ⁻ ˣ⁾
From the question, we want to find;
P(X = 75)
where;
Sample size; n = 120 and probability of success; p = 0.69
Thus, we have;
P(X = 75) = ¹²⁰C₇₅ * 0.69⁷⁵ * (1 - 0.69)⁽¹²⁰ ⁻ ⁷⁵⁾
P(X = 75) = 0.024
Read more about Binomial Probability at; brainly.com/question/2879525
Answer:
-2/f for the first one, and 1/f is the second one!