Mathieu is finding the x-intercepts of the function
f(x) = x2 + 4x + 3. His work is shown below.

0 = x2 + 4x + 3
0 = (x + 3)(x + 1)
x + 3 = x + 1
x = x – 2
0 = –2
There are no x-intercepts.
Which error did Mathieu make?

He factored incorrectly.
He did not use the constant as the x-intercept.
He set the factored expressions equal to each other.
He incorrectly solved the equation x + 3 = x + 1.

The box plot shows the number of raisins found in sample boxes from brand c and from brand d. each box weighs the same. what could you infer by comparing the range of the data for each brand? a) a box of raisins from either brand has about 28 raisins. b) the number of raisins in boxes from brand c varies more than boxes from brand d. c) the number of raisins in boxes from brand d varies more than boxes from brand c. d) the number of raisins in boxes from either brand varies about the same.

Arestaurant chef made 1 1/2 jars of pasta sauce. each serving of pasta requires 1/2 of a jar of sauce. how many servings of pasta will the chef be able to prepare using the sauce?

Show your workcan a right triangle have this sides? *how to prove it without using the pythagorean theorema*