<u>x = 3</u>
f(x) = x²+ 10x - 5
f(3) = (3)² + 10(3) - 5
f(3) = 9 + 30 - 5
f(3) = 39 - 5
f(3) = 34
g(x) = 8x + 1
g(3) = 8(3) + 1
g(3) = 25
h(x) = 3x - 4
h(3) = 3(3) - 4
h(3) = 9 - 4
h(3) = 5
<u>x = 6
</u>f(x) = x² + 10x - 5
f(6) = (6)² + 10(6) - 5
f(6) = 36 + 60 - 5
f(6) = 96 - 5
f(6) = 91
g(x) = 8x + 1
g(6) = 8(6) + 1
g(6) = 48 + 1
g(6) = 49
h(x) = 3x - 4
h(6) = 3(6) - 4
h(6) = 18 - 4
h(6) = 14
I would explain to someone that you don't need to do any calculations to know the order of the functions when x is equal to 15 by knowing that f(x) is equal to 370, g(x) is equal to 121, and h(x) is equal to 41 to know that it is easy finding the function of x without calculating the answer.
Answer:
9
Step-by-step explanation:
Using the rule of radicals
× 
⇔ 
Simplify the radicals
= 
= 
×
= 2
= 
= 
×
= 3
Then
3 +
= 3(2 ) + 3
= 6 + 3
= 9
Answer:
cubic units.
Step-by-step explanation:
Let m represent length of the rectangular prism.
We have been given that the width of a rectangular prism is six times its length, so width of the prism would be 
.
We are also told that the height is five times its length, so height of the prism would be 
.
We know that volume of rectangular prism is height times width times length.
Therefore, the volume of the given rectangular prism would be cubic units.
Answer:
ΔPTS≅ΔRTA by AAS axiom of congruency
Step-by-step explanation:
Consider ΔPQA and ΔRQS
∠PQA=∠RQS (Vertically Opposite Angles)
∠QAP=∠QSR (Complementary of two equal angles, ∠RAT and∠PST)
Due to angle sum property of a triangle, we come to the conclusion that
∠APQ=∠SRQ
Consider ΔPTS and ΔRTA
TA=TS (Given)
∠RAT=∠PST(Given)
∠APQ=∠SRQ (Proved above)
Therefore, ΔPTS≅ΔRTA by AAS axiom of congruency.
18 dollars would be the answer
