Two linear functions are shown below.
Function A:
Function B:
C
y = 2.c + 1
3
1
2
V
0
4
5
Which statement about the rates of changes of Functions A and B as shown is true?
The rate of change is greater for Function A than for Function B.
The rate of change is greater for Function B than for Function A.
The rate of change is 1 for both Function A and Function B.
The rate of change is 2 for both Function A and Function B.
to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into
where a is the cube root of .
here this is 27 and the cube root of 27 is 3. so we write using the form:
.
set each factor to 0 and solve for x.
x-3=0
x=3
the quadratic expression does not factor and must be solved using the quadratic formula.
where a = 1, b=3, and c=9
this cubic has two complex roots.
Answer from: Quest
the answer would be 150 books
step-by-step explanation:
if you divide 300 by 2 you will get 150
Answer from: Quest
{x = -1/2 , y = -1
step-by-step explanation:
solve the following system:
{2 x + y = -2
{10 x - 3 y = -2
in the first equation, look to solve for y:
{2 x + y = -2
{10 x - 3 y = -2
subtract 2 x from both sides:
{y = -2 x - 2
{10 x - 3 y = -2
substitute y = -2 x - 2 into the second equation:
{y = -2 x - 2
{10 x - 3 (-2 x - 2) = -2
10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:
{y = -2 x - 2
{16 x + 6 = -2
in the second equation, look to solve for x:
{y = -2 x - 2
{16 x + 6 = -2
subtract 6 from both sides:
{y = -2 x - 2
{16 x = -8
divide both sides by 16:
{y = -2 x - 2
{x = -1/2
substitute x = -1/2 into the first equation:
{y = -1
{x = -1/2
collect results in alphabetical order:
answer: {x = -1/2 , y = -1
Answer from: Quest
a 4/6 = 9/12 not proportional
step-by-step explanation:
to find which are not proportional, we can use cross products
if it is true, they are proportional. if it is not true, they are not proportional.
a 4/6 = 9/12
4* 12 = 6*9
48 = 54
not this is not proportional
b 2/3 = 12/18
2* 18 = 3 * 12
36 = 36
this is proportional
c 5/4 = 10/8
5*8 = 4*10
40 = 40
this is proportional
d 7/5 = 35/25
7*25 = 5 * 35
175 = 175
is proportional
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