(0,5) when you graph it these will be your point you can use desmos which is a graphing calculator
Answer:
a. True. Rational numbers are closed under the sum operation, therefore, the sum of two rational numbers is always a rational number.
b. True. irrational numbers are closed under the sum operation, therefore, the sum of two irrationals numbers is always a irrational number.
c. True. The square of a real number is always a number greater than zero, and the sum of two numbers greater than zero is greater than zero.
d. True. The real numbers are closed under the product operation, then if a and b are reals numbers, the product ab is also a real number.
Step-by-step explanation:
Answer:
x=-16
Step-by-step explanation:
Subtract 4 from both sides
x+4-4=-12-4
x=-16
So to solve for this, we need to set up proportional fractions, which I will help show you how to do.
First, if we are given an amount out of a total, we need to put it over x (if we are looking for the total). It looks like this:
12/x, 12 being the given number and x being the total.
If we are given the total but are looking for an amount, put the total at the bottom of the fraction (aka the denominator). It looks like this: x/16, 16 being the total amount and x being the amount out of the total.
We have a total of 40 test problems, so we can put our total at the bottom, x/40.
X is the amount of questions answered correctly (we are looking for x in the question).
We have answered 80% correct, so put 80% over 100 (100 being the total). It should look like this: 80/100.
Now we have our two fractions: x/40 & 80/100.
Set these up as an equation.
x/40 = 80/100.
Now this is where things may get tricky if you don't pay attention.
Multiply the numerator (the top number of a fraction) of x/40 by the denominator (the bottom number of a fraction) of 80/100.
Your product equation should look like this:
x times 100. This will give is 100x. Leave it at that.
Now, multiply the denominator of x/40 (the bottom number of the fraction) by the numerator (the top number of a fraction) of 80/100. It should look like this:
80 x 40. This will give us 3200.
Now set up our products as an equation.
100x = 3200.
To solve for x, divide both sides by 100.
3200/100 = 32.
x = 32.
I hope this helps and has taught you something!
