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Gennadij [26K]
2 years ago
10

Someone please help me with this!!! thank you!! (link)

Mathematics
2 answers:
igor_vitrenko [27]2 years ago
7 0
The answer is 50
32 + 1.8(10) = 50
(1.8*10=18)
Naily [24]2 years ago
5 0

F=32+1.8C+10 is the ending equation. Or F=42+1.8C if you want to symplify it.

I hope this is what you were looking for.

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For all values of x
Yuliya22 [10]

Answer:

A.) gf(x) = 3x^2 + 12x + 9

B.) g'(x) = 2

Step-by-step explanation:

A.) The two given functions are:

f(x) = (x + 2)^2 and g(x) = 3(x - 1)

Open the bracket of the two functions

f(x) = (x + 2)^2

f(x) = x^2 + 2x + 2x + 4

f(x) = x^2 + 4x + 4

and

g(x) = 3(x - 1)

g(x) = 3x - 3

To find gf(x), substitute f(x) for x in g(x)

gf(x) = 3( x^2 + 4x + 4 ) - 3

gf(x) = 3x^2 + 12x + 12 - 3

gf(x) = 3x^2 + 12x + 9

Where

a = 3, b = 12, c = 9

B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)

To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula

Y = 3x + 3

X = 3y + 3

Make y the subject of formula

3y = x - 3

Y = x/3 - 3/3

Y = x/3 - 1

Therefore, g'(x) = x/3 - 1

For g'(12), substitute 12 for x in g' (x)

g'(x) = 12/4 - 1

g'(x) = 3 - 1

g'(x) = 2.

5 0
2 years ago
Solve the differential equation using the method of undetermined coefficients
yuradex [85]
First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)

next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.
5 0
2 years ago
Six friends share 15 fruit bars equally how many fruit bars does each friend get
Slav-nsk [51]
They will each have 2.5 fruit bars
7 0
3 years ago
Read 2 more answers
Suppose $p(x)$ is a monic cubic polynomial with real coefficients such that $p(3-2i)=0$ and $p(0)=-52$. determine $p(x)$ (in exp
Maslowich

If p(3-2i)=0, then complex number 3-2i is a root of cubic polynomial.

If polynomial has real coefficients, then conjugated 3+2i is also a root of polynomial.

Then the polynomial will be of a form

p(x)=(x-(3-2i))(x-(3+2i))(x-a).

Since p(0)=-52, then

-52=(0-(3-2i))(0-(3+2i))(0-a),\\ \\-52=(2i-3)(3+2i)a,\\ \\-52=(4i^2-9)a,\\ \\-52=(-4-9)a,\\ \\-13a=-52,\\ \\a=4.

Therefore,

p(x)=(x-(3-2i))(x-(3+2i))(x-4),\\ \\p(x)=(x^2-6x+13)(x-4),\\ \\p(x)=x^3-10x^2+37x-52.

3 0
2 years ago
(3x + 5)(x2 + 6x +11)<br> multiply
viva [34]

Answer:

3x³ + 23x² + 63x + 55

Step-by-step explanation:

Given

(3x + 5)(x² + 6x + 11)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(x² + 6x + 11) + 5(x² + 6x + 11) ← distribute both parenthesis

= 3x³ + 18x² + 33x + 5x² + 30x + 55 ← collect like terms

= 3x³ + 23x² + 63x + 55

3 0
2 years ago
Read 2 more answers
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