Answer:
x=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2
3
(9x−6)=14
(
2
3
)(9x)+(
2
3
)(−6)=14(Distribute)
6x+−4=14
6x−4=14
Step 2: Add 4 to both sides.
6x−4+4=14+4
6x=18
Step 3: Divide both sides by 6.
6x
6
=
18
6
x = 3
The solution to the composite function f(g(x)) is 9x² - 78x + 165.
<h3>
What is composite function?</h3>
A composite function is generally a function that is written inside another function.
Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.
From the given composite function, the solution is determined as follows;
to solve for f(g(x)), we use the following methods.
f(x) = x² + 2x - 3, g(x) = 3x - 14
f(g(x)) = (3x - 14)² + 2(3x - 14) - 3
= 9x² - 84x + 196 + 6x - 28 - 3
= 9x² - 78x + 165
Thus, the solution to the composite function f(g(x)) is 9x² - 78x + 165.
Learn more about composite function here: brainly.com/question/10687170
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The complete question is below:
F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))
Answer:
<em>Answer: C. 32 cm</em>
Step-by-step explanation:
<u>Triangle Inequality Theorem
</u>
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
We know the triangle has two congruent angles, which means the triangle is isosceles, i.e., it has two congruent sides.
We are given two side lengths of 16 cm and 32 cm. The third side must have a length of 16 cm or 32 cm for the triangle to be isosceles.
If the third side had a length of 16 cm then the lengths would be 16-16-32. But that combination cannot form a triangle because of the condition stated above.
If y=16, z=16, and x=32 (the worst possible combination), then the inequality
0 < x < 32
wouldn't be satisfied, thus the third side cannot have a length of 16 cm and it must have a length of 32 cm
Answer: C. 32 cm
if i help you, i hope you help me.
Vpyramid: 1/3BH
1/3(5)(14.2)=
23.6666666667 ROUNDED 23.7
