From the given options we can think that x is
in the exponent of 3.
So, the given function is actually f(x) = 3^x +9
Now, we need to find the range of given
function.
We can see that first term is and exponential
term 3^x and second term is 9
We know that 3^x will always be greater than
O.
Therefore, 3^x +9 would always be greater
than 9.
Therefore, range would be y>9.
So, the correct option is B) (y | y > 9}.
Answer:
MN = 11
Step-by-step explanation:
point M is on line segment LN.
Therefore,
LM + MN = LN
3 + MN = 14
MN = 14 - 3
MN = 11
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°.
Answer:
The answer to 75 - ( 8 + 45 ÷ 3 ) × 2= 29