Answer:
x < - 8.5
Step-by-step explanation:
Given
- 46 - 8x > 22 ( add 46 to both sides )
- 8x > 68
Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity
x < - 
, that is
x < - 8.5
k<28
Step 1: Simplify both sides of the inequality.
−k+28>0
Step 2: Subtract 28 from both sides.
−k+28−28>0−28
−k>−28
Step 3: Divide both sides by -1.
−k
/−1 > −28
/−1
k<28
1/2DF = EF
1/2(2y) = 8y - 3
y = 8y - 3
- Subtract 8y from both sides.
-7y = -3
y = 3/7
- Plug 3/7 for y into DF and EF.
DF: 2(3/7) = 6/7
EF: 8(3/7) - 3 = 24/7 - 3 = 3/7
EF = DE because they are bisected, so DE = 3/7
4)
3x-2y=10
5x+y=4
We solve this system of equation by elimination method.
3x-2y=10
2(5x+y=4)
------------------------
13x=18
Answer: A) 13x=18
5)
slope-intercept form:
y=mx+b
y=f(x)
m=slope
b=y-intercept
1) we calculate the slope:
we choose any two points of this table:
For example: (2,2) and (3,4)
Given two points (x₁,y₁) and (x₂,y₂) the slope of the line that passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)
In this case:
m=(4-2)/(3-2)=2
2) we compute "b";
we choose an any point of this talbe:
For example: (4,6), and we substitute "x" for "4" and "y" for "6" in the next equation:
y=2x+b
6=2(4)+b
b=6-8
b=-2
3) we build the function that it belong this table:
m=2
b=-2
f(x)=mx+b
f(x)=2x-2
Answer: B) f(x)=2x-2
Answer:
Every decade, the number of species decays by a factor of 0.0834.
Step-by-step explanation:
Let be 
, 
. The decay rate per decay is deducted from the following relation:
Every decade, the number of species decays by a factor of 0.0834.
