Answer:
There would be 14 cats and 9 dogs
Step-by-step explanation:
In order to find the amount of cats and dogs, we need to set up the system of equations. To do so, start by setting cats as x and dogs as y. Now we can write the first equation to show the total number of animals.
cats + dogs = 23
x + y = 23
Now we can write a second one that shows the difference in the number of cats and dogs.
cats - dogs = 5
x - y = 5
Now we can add the two equations together to solve for x.
x + y = 23
x - y = 5
2x = 28
x = 14
Now that we have the number of cats, we can find the number of dogs by using either equation.
x + y = 23
14 + y = 23
y = 9
The answer is A.
We have to find the difference between the cooridants.
1/2-2= -1 1/2 = -3/2
3-3/4 = 2 1/4 = 9/4
We then divide 9/4 by -3/2 (9/4 times -2/3) and we get -18/12 if we divide the top and bottom by 6, we get -3/2.
The answer to this is A.24
<span>f(x) = x^2 - 12x + 7
First, separate the first two terms from the constant
f(x) = (x^2 - 12x) + 7
Next, half the coefficient of second term in the parenthesis (12x) and square the result. Make sure to subtract outside the parenthesis what you added inside so that the equation stays equal.
f(x) = (x^2 - 12x + 36) + 7 - 36
f(x) = </span><span>(x^2 - 12x + 36) - 29
Now, just factor the trinomial inside the parenthesis, lemme know in a comment if you don't know how to do this and I'll explain.
f(x) = (x(x - 6) -6(x - 6)) - 29
f(x) = (x - 6)^2 - 29
The polynomial is now in vertex form, and the value of a, as you can see, is 6.
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