Answer:
1. 8
2. 4
3a. -6 and -4
3b. -1/2 and -5
Step-by-step explanation:
3a explanation:
Factor x^2+10x+24
(x+4)(x+6)
Set the factors equal to 0
x + 4 = 0
x + 6 = 0
-4 and -6
3b.
Factor left side of equation.
(2x+1)(x+5)=0
Set factors equal to 0.
2x + 1 = 0 or
x + 5 = 0
x = −1/2
x = -5
-5 and -1/2
Answer:
Step-by-step explanation:
350 chocolate 1599 of cookies
Step-by-step explanation:
c= box of chocolates
k=box of coockies
k< 550+3c , so k-3c<550
k+c< 1950
k-3c<550
I will multiply the second by 3
k - 3c < 550
3k +3c < 5850
ADD BOTH
4k < 6400
k < 1600 Cookies should be less than 1600
Since cookies yield more than chocolates , to maximize profit they need to sell the maximum amount of cookies they can
1599 +350= 1949 (less than 1950)
The amount of cookies produced must be no more than 550 boxes plus 3 times the number of chocolates produced.
1599< 3(350) +550= 1050+550=1600)
1599<1600
1599 is at least double of 350 (it could be more than double)
Answer:
396.8
Step-by-step explanation:
Multiply them to each other.
Answer:
A
Step-by-step explanation:
A is correct. The graph of the basic exponential function neither touches nor crosses the x-axis, whereas a linear function does cross over and can be negative for some inputs.
A quadrilateral is any figure with 4 sides, no matter what the lengths of
the sides or the sizes of the angles are ... just as long as it has four straight
sides that meet and close it up.
Once you start imposing some special requirements on the lengths of
the sides, or their relationship to each other, or the size of the angles,
you start making special kinds of quadrilaterals, that have special names.
The simplest requirement of all is that there must be one pair of sides that
are parallel to each other. That makes a quadrilateral called a 'trapezoid'.
That's why a quadrilateral is not always a trapezoid.
Here are some other, more strict requirements, that make other special
quadrilaterals:
-- Two pairs of parallel sides . . . . 'parallelogram'
-- Two pairs of parallel sides
AND all angles the same size . . . . 'rectangle'
(also a special kind of parallelogram)
-- Two pairs of parallel sides
AND all sides the same length . . . 'rhombus'
(also a special kind of parallelogram)
-- Two pairs of parallel sides
AND all sides the same length
AND all angles the same size . . . . 'square'.
(also a special kind of parallelogram, rectangle, and rhombus)