MATHEMATICS MIDDLE SCHOOL

Lea says that (f°g)(x)=(g°f)(x). Do you agree with her or not? Explain.

Answers

Answer 1

Answer:

Answer with explanation:

No, Lea is incorrect.

" The composition of two functions may be different if they are taken in different orders "

For example:

If,

$f(x)=x+2$

and

$g(x)=x^2$

Then,

$(fog)(x)=f(g(x))\n\n(fog)(x)=f(x^2)\n\n(fog)(x)=x^2+2$

Also,

$(gof)(x)=g(f(x))\n\n(gof)(x)=g(x+2)\n\n(gof)(x)=(x+2)^2\n\n(gof)(x)=x^2+4x+4$

Now, we know that (gof)(x) and (fog)(x) will not be equal for all the values of x.

They will be equal only for x= -1/2

( Since,

$x^2+2=x^2+4x+4\n\n2=4x+4\n\n4x=2-4\n\n4x=-2\n\nx=(-2)/(4)\n\nx=(-1)/(2)$

Answer 2

Answer: No, because you substitute differently in both so they are not equal.

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5. trey made pasta in the Shape of a square ; He draws 2 lines to cut the pasta into smaller pieces The smaller pieces have L I sides and vertices in all ' 1 Draw lines to show how the pasta may i have been out i " What shapes could the smaller pieces be

Answers

Wouldn't it be. 8 pieces because you cut each sides into two pieces so like this. —|—. You'll end up having four square pieces, but count the pieces that creates an L shape

Two sides of a right triangle are 8” and 12”.A. Find the the area of the triangle if 8 and 12 are legs.

B. Find the area of the triangle if 8 and 12 are a leg and hypotenuse.

Answers

Area of a right triangle = ab/2

where a and b are both legs of the triangle.

A) a = 8 inches ; b = 12 inches
A = (8in x 12in)/2 = 96/2 = 48 in²

B.) a = 8 inches ; b = ? ; hypotenuse = 12 inches

Pythagorean theorem is used to get the measurement of the hypotenuse. It can also be used to get the measurement of the missing leg.

a² + b² = c² ⇒ b² = c² - a²
b² = 12² - 8²
b² = 144 - 64
b² = 80
b = √80
b = 8.94

A = ab/2 ⇒ (8 inches * 8.94 inches)/2
A = 71.52 in² / 2
A = 35.76 in²

Help me find the rule. Thank uuuuuu!!!!!

Answers

Answer:

It should be add 3 each time but I am not sure that 2 is right or not

Step-by-step explanation:

Answer:

y=3x+3

Step-by-step explanation:

You did the first box wrong. The 2 should be a 3.

Veronica loves to create creative things. She can make 5 craft pieces in 5 days. On the basis of a contract she has to make 20 pieces of crafts. How many days will she take?

Answers

Answer:

It will take 20 days

Step-by-step explanation:

First we must get the rate of craft made per day.

Veronica make 5 craft pieces in 5 days

Rate= 5 craft pieces/5 days

Rate=1 craft pieces/days

If we want to know how many days will take to make 20 craft pieces. We use the ratio

20 craft pieces/1 craft pieces/days= 20 days

It will take 20 days to make 20 craft pieces.

If she can make 5 in 5 days, then it will take her 20 days to make 20 craft peices

a market ordered 140 apples packed in small bags.how may small bags can be filled will there be any apples left over dive useing a rectangular area model and show the remainder i will add you my friend also thank you

Answers

If so, this would just be as a good answer, not just like to be friends, that is wired, you a an be friends to anyone you find in brianly. Um, to the question now, It actually matters how much hey want to put into each bag, because if one, that will take up all the bags. Hope that this helps you..

Find the values of x and y.

Answers

Refer to the notations above:

<BCD+40°=180° (angles on a strainght line)
<BCD=180°-40°
<BCD=140°

As BC=CD(given),△BCD is an isosceles triangle,thus <CBD=<CDB=x(properties of isosceles triangle).

We can then proceed to find x(<CDB and <CBD):

140°+ x + x=180°(angles sum of triangles)
2x=180°-140°
x=40°/2
x=20°

Then, we can again use the angles sum of triangle to solve y:

y+90°+20°=180°
y=180°-90°-20°
y=70°

Therefore, x=20° and y=70°.

Hope it helps!

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