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3 years ago

Help me plz no links

Mathematics

2 answers:

Serjik [45]3 years ago

6 0

Put that image in photo math, it will give you the step by step answer! Hope that helps!

vodomira [7]3 years ago

6 0

I don’t know if this helps

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1. Let f(x) = x + 3 and g(x) = 3x + 5. Find f(g(4)) - g(f(4)) 2. Let f(x) = 5x^2 - 5. What is f(f(x))? 3. Let f(g(x)) = 3x + 3 a

ludmilkaskok [199]

Answer:

1. f(g(4)) - g(f(4)) = -6

2. f(f(x)) = 125x^4 - 250x^2 + 120

3. a + b = 0

4. g(4) = -9

Step-by-step explanation:

First we need to find f(4) and g(4):

f(4) = 4 + 3 = 7

g(4) = 3*4 + 5 = 17

Then, we find g(f(4)) = g(7):

g(7) = 3*7 + 5 = 26

And we find f(g(4)) = f(17):

f(17) = 17 + 3 = 20

so f(g(4)) - g(f(4)) = 20 - 26 = -6

To find f(f(x)), we use the value of f(x) for every x in f(x):

f(f(x)) = 5*(f(x))^2 - 5 = 5*(5x^2 - 5)^2 - 5 = 5*(25x^4 - 50x^2 + 25) - 5

f(f(x)) = 125x^4 - 250x^2 + 120

To find f(g(x)), we use the value of g(x) for every x in f(x):

f(g(x)) = g(x) + 6 = ax + b + 6 = 3x + 3

ax + (b+6) = 3x + 3 -> a = 3 and b = -3

a + b = 3 - 3 = 0

If we assume g(x) = ax + b, we have:

g(f(x)) = a*(2x - 3) + b = 2ax - 3a + b = 5 - 4x

2a = -4 -> a = -2

-3a + b = 5

6 + b = 5 -> b = -1

g(x) = -2x - 1

g(4) = -2*4 - 1 = -9

7 0

3 years ago

What is the perimeter of 10 ft long and 9 feet wide?

xxMikexx [17]

20 + 18 = 38

38 is the perimeter

7 0

3 years ago

Read 2 more answers

Point b lies on the segment ac . Find the length of the segment ac, if ab=7.8 cm, bc=25mm. How many different solutions can this

mixas84 [53]

Given that B lies on segment AC and AB=7.8cm , BC = 25mm

Let us convert AB to mm by multiplying with 10 that is AB = 78mm

There are totally 3 possible ways for B lying on segment AC.

Solution 1:- B lies in between A and C,

Then AC = AB+BC

=78+25 = 103 mm

Solution 2:- B lies to the right of C like ACB.

Then AB = AC+CB

78 = AC+25

AC = 78-25 = 53mm

Solution 3:- B lies to the left of A like BAC.

Then BC = BA+AC

25 = 78+AC

Since AC cannot be negative, this way is not possible.

Hence there are only 2 solutions possible.

If we are given that B lies on line joining A and C, then definitely B should lie between A and C. That means nothing but solution 1. So only one solution is possible in this case.

5 0

3 years ago

A slot machine has 3 dials. Each dial has 30 positions, one of which is "Jackpot". To win the jackpot, all three dials must be i

Lostsunrise [7]

Answer:

3/(30×30×30) = 3/27000 = 0.0001 or 0.01%

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the equation for the translation of X^2+y^2=9 four units to the right and three units down

icang [17]

We know that
X²+y²=9 -------> X²+y²=3²
is the equation of a circle with center (0,0) and radius r=3 units
so
<span>the translation of four units to the right and three units down is equals to move the center (0,0)--------> (0+4,0-3)------> (4.-3)

the new center of the circle is (4,-3)
the new equation is
(x-4)</span>²+(y+3)²=3²

see the attached figure

4 0

4 years ago