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Valentin [98]
3 years ago
7

3. The functions f and g are defined by f: x → ax – b where a and b are constants and g: x → X+4.

Mathematics
1 answer:
valentinak56 [21]3 years ago
5 0

Answer:

fg(2) = 9 means that f(g(2)) = 9

We know that g(2) = 6

So f(6) = 9 which means that

6a - b = 9 (note 1)

And we know that g(f(1/2)) = 2

And we know that f(1/2) = 1/2(a) - b

So g(1/2(a) - b) = 2

Meaning that 1/2(a) - b + 4 = 2

So 1/2(a) - b = - 2 (note 2)

Using note 1 and 2 we can solve the equation

11/2(a) = 11 so a = 2 and b = 3

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Find the angle in the table
yan [13]

Answer:

360/100=3.6

30  x 3.6 =  108

10 x 3.6 = 36

From the 10 you can multiply by 5. 36 x 5 = 180

10  3.6 = 36

36 + 36 = 72. 108 + 72 = 180

180 + 180 = 360.

Angles are Red-108, Blue-36, Green-180, and yellow-36.

Hope this helped

(Don't give me brainliest)

Step-by-step explanation:

4 0
3 years ago
4. The money in Mrs. Finch’s savings account is earning 1.45% interest. Which number below is greater than 1.45%
makvit [3.9K]
B) 0.019

0.019 = 1.9%
6 0
3 years ago
Find a homogeneous linear differential equation with constant coefficients whose general solution is given by
frez [133]

Answer:

y" + 2y' + 2y = 0

Step-by-step explanation:

Given

y=c_1e^{-x}cosx+c_2e^{-x}sinx

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)

Where

\alpha = -1 and \beta = 1

For a homogeneous linear differential equation, the repeated value m is given as:

m = \alpha \± \beta i

Substitute values for \alpha and \beta

m = -1 \± 1*i

m = -1 \± i

Add 1 to both sides

m +1= 1 -1 \± i

m +1= \± i

Square both sides

(m +1)^2= (\± i)^2

m^2 + m + m + 1 = i^2

m^2 + 2m + 1 = i^2

In complex numbers:

i^2 = -1

So, the expression becomes:

m^2 + 2m + 1 = -1

Add 1 to both sides

m^2 + 2m + 1 +1= -1+1

m^2 + 2m + 2= 0

This corresponds to the homogeneous linear differential equation

y" + 2y' + 2y = 0

6 0
3 years ago
Did he watch the whole movie
valentinak56 [21]
No, he has not watched the whole movie. The answer would be D. he only has 2/15 to watch. 

Hope I helped!
8 0
3 years ago
Read 2 more answers
10) Alayah's puppy weighed 12 lbs. when they brought it home from the Humane Society.
TEA [102]
It gained 4 lbs:) 6*4 = 24
24+12 = 36
3 0
2 years ago
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