Calculate the measure of angle L

[tex]\text{Given that,}\\\\f(x) = 2x+1,~~ g(x) = x^2\\\\\ \text{now,}\\\\f(g(x)) = g(f(x))\\\\\implies f(x^2) = g(2x+1)\\\\\implies 2x^2+1=(2x+1)^2\\\\\implies 2x^2+1= (2x)^2 +2\cdot 2x + 1\\\\\implies 2x^2 +1 = 4x^2 + 4x +1\\\\\implies 4x^2 -2x^2 +4x +1-1 =0\\\\\implies 2x^2 +4x =0\\\\\implies 2x(x+2)=0\\\\\implies 2x =0~~ \text{or}~~ x+2 =0\\\\\implies x =0 ~~~\text{or}~ x =-2\\\\\ \text{Hence,}~ x =0 ~\text{and} ~ x =-2~ \text{are the solutions.}[/tex]

Answer:

The answer is 10

Step-by-step explanation:

It is

3(x + 7) = 57 |÷3

x + 7 = 57/3

x + 7 = 19 |-7

x = 19 - 7

x = 12

Answer:

286 sweets.

Step-by-step explanation:

If Adrian had x sweets, Charlie got x+52 sweets.

The number of parts  is 7+4+11 = 22.

So Adrian had 7/22 of the total  and Charlie had 11/22 = 1/2 of the total.

This means that Ben had 4/22 = 2/11 of the total.

If y is the total number of sweets:

y = x + x + 52 + 2y/11

9y/11 = 2x + 52

2x =  9y/11 - 52.............(1)

Also x + 52 = y/2

y = 2x + 104

2x = y - 104...............(2)

Equating (1) and (2) -   (as there is 2x on left side of both equations):-

9y/11 - 52 = y - 104

52 = 2y/11

y = 52 * 11/2

y = 286 sweets.

Step-by-step explanation:

5ab + 8c

Putting values of a = 3 b = 2 and c = 9

5(3)(2) + 8(9)

30 + 72

102

Answer:   i think it's b

Answer:

C.

Step-by-step explanation:

A and D are immediately wrong since the line is increasing.

Using the formula of rise over run, we can find the slope. We then use 40 as the rise and 5 as the run

40/5 is 8.

We can now put 8 as the slope in the y=mx+b equation. We can see the line intersect at 20 at the y-axis, which makes 20 the y-intercept. We can now insert that into the b part of the equation. This leaves us with y=8x+20.

answer:

8 pennies,16 dimes,13 nickels,13 quarters

Step-by-step explanation:

total number of coins = 50

16% are pennies

16% of 50

16/100 x 50=(16x50)/100=800/100=8

Pennies = 8

32% are dimes

32% of 50

32/100 x 50=(32x50)/100=1600/100=16

Dimes = 16

5 more nickels than pennies

Pennies = 8

nickels = 8 + 5 = 13

nickels = 13

8+16+13=37

50 - 37 = 13

13 quarters

pennies = 8, dimes = 16, nickels = 13, quarters = 13

Answer:

<m is equal to the measure of <Z

_______________________________________

Hope this helps!!

Please tell me if I have made a mistake!!

I enjoy learning form them:)

Answer:

whats the question?

Step-by-step explanation:

Answer:

each tree was $36

Step-by-step explanation:

if the trees are $9 less then the full price and she purchased 3

9 times 3 is 27 135-27 is 108 so then when you divide 108 and 3 to get $36

Answer:

Step-by-step explanation:

How much does a sandwich and drink cost together?

($0.79 + $2.49) = $3.28

How many can he buy with $45.00?

$45/$3.28 = 13.72 or 13 sandwich/soda combos.

13 soft drinks and  

13 sandwiches

How much change will Jason get?

$45 - 13($3.28) = $2.36

Answer:

The long fence, AC = 44 feet

4 shorter segments at 11feet each = 44 feet

Area = 484 ft^2

Step-by-step explanation:

The three pens will share one fence section parallel to the barn, we'll call it AB.  Each pen will need two side fence segments, from the front fence to the barn.  We'll call those portions AC.  We need four of them:  two for the outer sides and two more to divide up the space equally among the three pens.  The total area would be AB*AC.

We know that AC + 4AB = 88 feet.

or AC = (88feet - 4AB)

Area = AB(88feet - 4AB)

Area = 88AB - 4AB^2

To maximize the area, we can take the first derivative and set it equal to zero:

Area' = 88 - 8AB

0 = 88 - 8AB

AB = 11 feet

AC = (88 - 4AB)

AC = (88 - 44)

AC = 44 feet

The fours segments of fence:  

AC + 4AB = 88 feet

(44) + 4(11 feet) = 88feet

Area = 44' x 11 ft' = 484 ft^2

Answer:

Reflected along x axis

Translated 7 units to the right

Step-by-step explanation:

If a point (x, y) is reflected along the x axis, its x coordinate remains the same and the y coordinate is opposite (negated). The new point is at (x, -y)

If a point (x, y) is translated h units to the right, the new coordinate is (x+h, y).The transformation are as follows:

It is reflected along the x axis so that the new coordinates would be at A1 at (- 4, -4), B1 at (- 2, -2), C1 at (- 2, 1), D1 at (- 4, -1)

It is translated 7 units to the right, The new coordinates are A' at (3, -4), B' at (5, -2), C' at (5, 1), D' at (3, -1)

Hope that's better

Answer:

3

Step-by-step explanation:

i'd say 3

i divided 12 by 4 and then multiplied by one, since that is the amount of eggs we want

good luck! <3

Answer:

x=2

y=1

Step-by-step explanation:

9x+0=18

so it's x=2

6=4y=10

so y=1

The required equation of a line perpendicular is y = x + 5

Given the equation y = -x + 2, the slope of the line is -1

Substitute the slope and the point into the point-slope form of the equation expressed as:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-3.5=1(x-(-1.5))\\y-3.5=x+1.5\\y=x+1.5+3.5\\y=x+5[/tex]

Hence the required equation of a line perpendicular is y = x + 5

Learn more on equation of a line here: https://brainly.com/question/19417700

Answer:

75. is yr correct ans.

Step-by-step explanation:

hope it helps.

stay safe healthy and happy.

Answer:

x = 75

Step-by-step explanation:

The triangle has 2 congruent sides and is therefore isosceles with 2 congruent base angles, both of measure x

The sum of the 3 angles = 180° , that is

x + x + 30 = 180

2x + 30 = 180 ( subtract 30 from both sides )

2x = 150 ( divide both sides by 2 )

x = 75

#1

Current temperature=0°C

Temperature before 1 hour

[tex]\\ \sf{:}\dashrightarrow 0+3°C=3°C[/tex]

#2

Temperature before 3h

[tex]\\ \sf{:}\dashrightarrow 0+3(3)=0+9=9°C[/tex]

#3

Temperature before 4.5h

[tex]\\ \sf{:}\dashrightarrow 0+4.5(3)=13.5°C[/tex]

Answer:

220 calories

Step-by-step explanation:

Cross multiply and then divide:

[tex]\frac{14}{22}= \frac{140}{x}[/tex]

140 x 22 = 3080

3080 / 14 = 220

Answer:

12*2=24

Step-by-step explanation:

Answer:

8 minutes or 480 seconds

Step-by-step explanation:

1 km = 1000 m

100x20=2000

24 x 20 = 480

480/60 = 8

Answer:

Step-by-step explanation:

Answer:

d. n≤5

Step-by-step explanation:

This is the answer

Answer:

D) n≤5

Step-by-step explanation:

No more than 5 means that the number cannot exceed 5, but it's ok to have any number less than 5 or equal to 5. So, this means that D is correct.

Answer:

In attachment

Step-by-step explanation:

See the attachment.  They are much easier to solve if you set up a spreadsheet template and then copy that template for each problem.  The inputs would be the two given points for each graph.  Problem 3's slope is undefined, since it is a vertical line and the run is 0, no change in x.  Since slope is "Rise/Run," this is dividing by zero, a No-No for mathematicians, as well as us chemists and other mortals.

Answer:

y = -x + 5

Step-by-step explanation:

lmk if you want an explanation

Answer:

6

Step-by-step explanation:

6^2 = 36

hope this helps! :D

have a miraculous day!! <3

A. Angle 3 is a vertical angle to angle 2 which means they are the same.

Angle 3 = 76 degrees

B. Angle 6 is also the same as angle 2.

Angle 6 = 76 degrees

C. Angle 8 + angle 6 form a straight line which equals 180 degrees

Angle 8 = 180 - 76 = 104 degrees

Answer:

76° , 76° , 104°

Step-by-step explanation:

(a)

∠ 2 and ∠  3 are vertically opposite angles and are congruent , then

∠ 3 = 76°

(b)

∠ 6 and ∠ 3 are alternate angles and are congruent , then

∠ 6 = 76°

(c)

∠ 6 and ∠ 8 are adjacent angles on a straight line and sum to 180° , then

∠ 8 = 180° - 76° = 104°

Answer:

1.39×10^6

Step-by-step explanation:

Hide 1 then count how many numbers are after it(6 numbers), that will be the power/exponent you will use

Answer:

52%=0.52

319%=3.19

7.9%=0.079

4.5%=80

37/8%=4.652

62/3%=20.67

2. 15 cups

3. 70.4m

4. $12.5

5.

Step-by-step explanation:

52%=52/100=0.52

319%=319/100=3.19

7.9%=7.9/100=0.079

4/5%=(4/5)/100=4/5×100=80

37/8%=4.(5/8)=4.652

62/3%=20.(2/3)=20.67

1 bottle holds 0.65L

1 cup holds 0.26L

6 bottles hold (0.65×6) =3.9L

n cups hold 3.9L

0.26n=3.9

n=3.9/0.26

n=15

30.8m make 7 shirts

ym make 1 shirt

7y = 30.8

y = 4.4m

1 shirt needs 4.4m

16 shirts need 16×4.4=70.4m

0.6kg cost $15

1kg costs $b

0.6b=15

b=$25

1kg costs $25

0.5kg cost (25×0.5)=$12.5

Answer:

20 buses

Step-by-step explanation:

Using the given ratio, we can see that for every 12 taxis, there are 5 buses and 18 bikes.

To get from 18 bikes to 72 bikes, we multiply by 4. Therefore, to figure out the number of buses, we multiply it by 4.

5 * 4 = 20

Hope this helps! :D