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3 years ago

Please please help please please

Mathematics

1 answer:

const2013 [10]3 years ago

6 0

Answer:

25 degrees

Step-by-step explanation:

The sum of the 80 and 55 degree angles and the unknown angle x must be 180 degrees. Thus, x + 80 + 55 = 180, or x + 155 = 180, or x = 25.

x is 25 degrees.

This is based upon the "corresponding angles" principle. Lines AB and CD are parallel and are intersected by the longer diagonal line if we extend this line past the 80 and 55 degree angles.

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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

Please solve question above

yarga [219]

Answer:

its 11

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

MATH GRADE 8 15. a) and b)

Elden [556K]

Answer: 1300 cm³

a) Find the volume of the entire rectangle and subtract the volume of the missing section. Volume = L · w · h

Solid = Rectangle - Missing section

= L · w · h - L · w · h

= 16 · 10 · 10 - 10 · 6 · 5

= 1600 - 300

= 1300

b) Find the volume of each section of the rectangle (base, left wing right wing) and add them. Volume = L · w · h

Solid = Base + Left wing + Right wing

= L · w · h + L · w · h + L · w · h

= 16 · 10 · 5 + 5 · 10 · 5 + 5 · 10 · 5

= 800 + 250 + 250

= 1300

The answer from (a) is the same as (b) $\checkmark$

6 0

4 years ago

Out of 10 students, 1 student is wearing brown shoes, 7 students are wearing black shoes. What fraction of the students are not

iVinArrow [24]

Answer:

$Fraction=\frac{1}{5}$

Step-by-step explanation:

Total number of students $=10$

Students wearing brown shoes $=1$

Students wearing black shoes $=7$

Number of students wearing black or brown shoes $=1+7=8$

Number of students not wearing brown or black $=10-8=2$

Fraction of students not wearing brown or black $=\frac{2}{10}=\frac{1}{5}$

5 0

3 years ago

Multiply 7 by the fourth power of the square root of forty-nine.

astraxan [27]

Answer:

16807

Step-by-step explanation:

7 * ((sqrt49)^4 = 7 * 7^4 = 7^5 = 16807

5 0

3 years ago