Answer:
Step-by-step explanation:
g(m) = 0
2-4m=0
2=4m
2/4=m
1/2=m------(1
p(1/2)= -3(1/2) - { 2(1/2) + (5- 1/2) } +7
= -3/2 - { 1 + 9/2} +7
= -3/2 - ( 11/2) +7
=-14/2 +7
= -14 + 14 /2
= 0/2
= 0...
since p(m)= 0,
we can say that g(m) is a factor of p(m)
hence, it has been simplified correctly...
Answer:
B im pretty sure
Step-by-step explanation:
Answer:
A. Both functions are positive and decreasing on the interval.
Step-by-step explanation:
The table shows that f(x) decreases when x increases in the interval (0,3).
All the values of f(x) are positive in the interval (0,3).
For the exponential function that passes through the points (0, 27) and (3, 0), we also see that f(x) is decreasing when x increases: when x goes from 0 to 3, f(x) goes from 27 to 0.
Also all the values of f(x) are positive in the interval.
Then, both functions are positive and dereasing in the interval.
Answer:
m∠2=47.5°
m∠3=42.5°
m∠4=42.5°
Step-by-step explanation:
We are given in the question that m∠1=47.5 degrees=47.5°.
<em>" Angles are</em><em> congruent </em><em>if they have the same angle measure in degrees" ----(1)</em>
As we are given that ∠1 is congruent to ∠2.
This implies from statement (1) that:
m∠2=47.5 degrees=47.5°
<em>" Complementary Angle: Two Angles are </em><em>Complementary</em><em> when they add up to 90 degrees (a Right Angle)."</em>
In the question we are given ∠1 and ∠3 are complementary.
This means ∠1+∠3=90°
⇒ ∠3=90°-∠1
⇒ ∠3=90°-47.5°=42.5°
Hence, m∠3=42.5°
Also we are given that ∠2 and ∠4 are complementary.
This means ∠2+∠4=90°
⇒ ∠4=90°-∠2
⇒ ∠4=90°-47.5°=42.5°
Hence, m∠4=42.5°.
