1. One value of x for f(x)=-4 would be 0.
2. Should be 3.5 and -3.5 but I'm not sure
See the picture attached to better understand the problem
we know that
<span>the bridge is 10 ft tall and 27 ft long, horizontally
so
BC=10 ft
DE=27 ft---------> DC=27/2----> 13.5 ft
DA=r (radius of the circle)
AC=r-10
Applying the Pythagoras Theorem
DA</span>²=DC²+AC²<span> ------> r</span>²=13.5²+(r-10)²----> r²=182.25+r²-20r+100
20r=282.25--------> r=14.11 ft
the answer isr=14.11 ft
Hi there! Just by looking at the choices, we can eliminate C and D, because those answers don’t make sense and they don’t flow together. 3:5 is equivalent to those like 6:10, 9:15, 12:20, and so on. You can basically add 3 and 5 in order to get the next ratios. The only ratio that works in this problem is B. The answer is B: 9:15.
Well on front, you see 2 x 4 cereal boxes and it has depth of 3 cereal boxes.
So that would be 2×4×3 = 24 cereal boxes in total.
Since each cereal box is 175 in³, that would be 24 × 175 in³ = 4200 in³
So the answer is D.
The key piece of information for these questions is the Fundamental Theorem of Algebra, which states that a degree n polynomial has n complex roots. A complex root can be either real or imaginary.
First question, regarding the polynomial y = x^3 - 3x^2 + 16x - 48:
We know there is one real root, the x-intercept.
Since it's a third degree polynomial, there are three complex roots in total.
Therefore, there is one real root and two imaginary roots.
Answer is B
Second question:
You probably can guess the answer, now that you know the Fundamental Theorem of Alegebra:
There are 3 real zeros, each with multiplicity one, meaning each root only happens once. It's a 5th degree polynomial, so there are a total of 5 roots, implying 2 imaginary roots.
Answer is C) 3 real and 2 imaginary zeroes.
