Step-by-step explanation:
i hope it is helpful
thankyou
Answer:
The value of g[f(2)] = 13
Step-by-step explanation:
Given functions:
f(x) = x²
g(x) = 3x + 1
Find:
The value of g[f(2)]
Computation:
f(x) = x²
By putting x = 2 in f(x)
f(x) = x²
f(2) = 2²
f(2) = 2 × 2
f(2) = 4
So the value of f(2) = 4
Value of f(2) putting in g(x)
g(x) = 3x + 1
g(x) = 3x + 1
g[f(2)] = 3[f(2)] + 1
We know that f(2) = 4
So,
g[f(2)] = 3[f(2)] + 1
g[f(2)] = 3[4] + 1
g[f(2)] = 12 + 1
g[f(2)] = 13
The value of g[f(2)] = 13
You can solve this by setting up 2 equations and solving quadratically.
perimeter of a rectangle is found by the formula 2*base + 2*height = perimeter.
area is found by base*height=area.
2b+2h = 24 and b*h=27 solving one equation for base or height and substituting in the other equation will give us an equation we can use for this particular problem. solving b*h=27 for b will give us b= 27/h. substituting this into the perimeter equation we get 2(27/h) + 2h = 24. If we use algebra to manipulate the equation we get 24-2h= 2(27/h) so 24-2h = 54/h multiplying both sides by h give (24-2h)h = 54 moving the 24h-2h^2 to the other side gives 0 = 2h^2-24h+54 solving the quadratic for h gives (2h+6)(h+9)=0 so solving for h we get h=6/2 = 3 or h=9 is we use h =9 and plug it into the original equation for 2b+2h=24 then we get 2b+2(9)= 24 so then 2b = 24-18 so b = 6/2 =3. so we get 2(3)+2(9)=24 so 6+18=24 for perimeter and for b*h=27 we get 3*9=27 so the dimensions are 3x9 3 is the shorter side and 9 is the longer side = 3x9
Answer:
I think it's the first one.
Step-by-step explanation:
It has to be a negative.
Hi there!
<u><em>FACT</em></u><em>:</em>
<em>What you have there is an equilateral in which all three internal angles are congruent to each other and are each 60°.</em>
<u>STEPS TO ANSWER:</u>
I'm not really sure if you are looking for the value of "X" the angle or the value of "x" that is part of the expression that represents the value of the angle "Z".
1. If you are looking for the value of "X" the angle, it's pretty easy knowing that all internal angles are equal to 60°.
Your answer for the value of "X" the angle would be : X = 60°.
2. If you are looking for the value of the "x" that is part of the expression that represents the value of the angle "Z", you'll need to write this expression as equal to 60 and solve the equation by isolating "x" :
2x <u>- 4</u> = 60
Add 4 on each side of the equation → 60 + 4 = 64
<u>2</u>x = 64
Divide each side of the equation by 2 → 64 ÷ 2 = 32
x = 32
Your answer for the value of the "x" that is part of the expression that represents the value of the angle "Z" would be : x = 32.
There you go! I really hope this helped, if there's anything just let me know! :)
