X^a + bx^c + d
————————-
Cx+ dx^d + a
Answer:
For this system of equations there is infinitely many solutions.
Step-by-step explanation:
Given the equations: -4x + 4y = 32 and 3x + 24 = 3y, we need to first get them both in standard form (Ax + By = C) in order to complete the method of elimination to solve. The first equatoin is already in standard form, however, in order to convert the second equation, we will need to use inverse operations to move the '3x' to the other side of the equation by subtraction of this term from both sides: 3x - 3x + 24 = 3y - 3x or 24 = -3x + 3y. Rearranging the equation gives us: -3x + 3y = 24. In order to use elimination to solve, we must first multiply the first equation be a factor of 3 and the second equation by a factor of -4 in order to have opposite coefficients:
3[ -4x + 4y = 32] = -12x + 12y = 96
-4{-3x + 3y = 24] = 12x - 12y = -96
You can see that if we add these too equations together, we get 0 = 0, which indicates that they are both the same line, making our answer infinitely many solutions.
<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
In this question, we're trying to find the probability of it being cloudy and raining.
In this case, we know that:
- Probability of it being cloudy is 30%
- Probability of it raining is 25% (this is necessarily not needed)
- If it's cloud, the probability of it raining is 45%
With the information above, we can find the probability.
We know that from a 100% scale, the chance of it being cloudy is 30%.
We know that if it's cloudy, the chances of raining is 45%
To find the probability of it being cloudy and raining, we would multiply 0.3 (30%) by 0.45 (45%)
Solve:
Your answer would be C). 13.5%
<h3>
I hope this helped you out.</h3><h3>
Good luck on your academics.</h3><h3>
Have a fantastic day!</h3>
Answer: Woops I meant 2 cannot be repeated because x-values cannot be the same. So it is C.
A function CAN have the same y-values such as (3,4) and (6,4). But a function CANNOT have the same x-values like (7,10) and (7,1) because it would be a straight line.
C = 5 + 2r
You can go on 5 rides.
First, create the expression for the cost.
c = ?
Since the price of admission is $5, that becomes a term in the expression, so the new expression is:
c = 5 + ?
And since you need to pay for each ride (r) that also becomes a factor in the expression. Giving you:
c = 5 + 2r + ?
There isn't anything else that costs you money, so you can get rid of the placeholder of + ? giving you a final expression of
c = 5 + 2r
Now you need to figure out how many rides you can go on for $16. Lets figure it out.
You first have to subtract the price of admission. So you get
16 - 5 = 11
So after being admitted, you now have $11 in which to pay for rides. Since each ride costs $2, simply divide 11 by 2.
11 / 2 = 5.5
Since you really can't go on half a ride, that means you can go on 5 rides after being admitted to the park.
