If f(x) = x + 1, and g(x) = 2x,
then
gf(x)) = ?

Answer: 15%

Step-by-step explanation:

From the question, we are informed that a shop makes £2,750 in March while it made £3,162.50 in April. The increase will be:

= £3,162.50 - £2,750

= £412.50

Percentage increase = £412.50/ £2750 × 100

= 15%

9514 1404 393

Answer:

  neither; they are the same distance from the line

Step-by-step explanation:

The distance of point (x, y) from line ax+by+c=0 is given by ...

  d = |ax +by +c|/(√a² +b²)

Since we're using the same line for both points, we only need to evaluate ...

  d = |ax +by +c|

Subtracting y can put the equation in the desired form:

  1/2x -y +4 = 0

__

For point A, the expression of interest evaluates to ...

  |(1/2)(-2) -(6) +4| = |-1-6+4| = 3

For point B, the expression of interest evaluates to ...

  |(1/2)(4) -(3) +4| = |2-3+4| = 3

These values tell us the points are the same distance from the line.

_____

The attached graph shows that circles of the same radius centered on A and B are both tangent to the line. Hence the distances are the same.

Answer:

2x+15=5y

y=(2x+15)/5

hope this helps

Answer:

[tex]y = \frac{2}{5} x + 3[/tex]

Step-by-step explanation:

2x - 5y = -15

Firstly, you will need to isolate the variable you are solving for, in this case, y.

2x - 2x - 5y = -15 - 2x

-5y = -15 - 2x

-5y/-5 = -15/-5 - 2x/-5

A negative divided or multiplied by a negative is positive.

[tex]y = 3 + \frac{2}{5} x[/tex]

Rearrange.

[tex]y = \frac{2}{5} x +3[/tex]

Answer:

There were no more than 15 fruit snacks in the bag

Step-by-step explanation:

I hope this helps!

Answer:

x-23=18

x=18+23

x=41

Step-by-step explanation:

go to - 23 on the other side after equal to the changed sign and find x

Answer:

11x-8+7x-7

11x+7x-8-7

18x-15

Step-by-step explanation:

80 - [50 - {20/2 - (16 - 2/2) ÷ 3}]

80 - [50 - {20/2 - (15) ÷ 3}]

80 - [50 - {10 - 5}]

80 - [50 - {5}]

80 - [45]

35

Answer:35

Step-by-step explanation:

80-[50-(10-5)

80-(50-5)

80-45=35

Answer:

12

Step-by-step explanation:

Answer:

4x>48

x>12ans.this is the correct answer

Step-by-step explanation:

V=a×b×c

136/2=68in³

68in³=a×3in×3in

a=68/9

a=7.5in =x

Answer:

C = 17 - R

Step-by-step explanation:

In this scenario, 17 cars would be the initial starting point. While C would be the final number of cars, meaning that our equation would have to equal C. If she rents R number of cars then this number is being subtracted from the initial number of cars because Charmaine would no longer have them in his/her possession. Therefore, it is being subtracted. Using this information we can create the following equation.

C = 17 - R

Answer:

10+2h=T

hope this helps :)

Answer:

H²=h²+b²

H²=9²+3²

H²=81+9

H²=90

H=

[tex] \sqrt{90} [/tex]

Answer: x=2±√10 or x=5.16227766

Step-by-step explanation:

Answer:

x=5

y=1

Step-by-step explanation:

3*5=15

5*1=5

15+5=20

Answer: 55.34

Step-by-step explanation:

24.95 + 21.95 = 46.90

46.90 x 18%

18% = .18

46.90 x 18 = 8.442

8.44 = cost of tip

8.44 + 46.90 = 55.34

Answer:

See answer below

Step-by-step explanation:

You are missing data such as the angle of the boat next to Dolores. I found an exercise similar to this, and I'm going to show it here and use the missing data to show you how to do it:

Dolores is on a bridge that is 45 feet above a lake. She sees a boat at a 30 degree angle of depression. What is Dolores' approximate horizontal distance from the boat?

According to that, I will use the angle of 30° to do this, but the distance of 42 feet.

Now, we can see this as a triangle. Dolores is on a bridge 42 feet above a lake, this 42 feet distance should be one side of the triangle (The vertical forming the 90° angle), and the boat that is on the lake, is seen with an angle of 30°. So the distance of the boat, to the spot where dolores is, under the bridge would be the horizontal side.

With this, we have the opposite side (a) and the adyacent side (b) of the triangle, and we have the angle, therefore:

tanα = a/b

Replacing we have:

tan30° = 42/b

b = 42 / tan30°

b = 72.75 feet

Hope this helps

Answer:

Its easy

Step-by-step explanation:

1) 12

2)76

3)21.5

4)22.0

Answer:

-6 + -5 = -11

Step-by-step explanation:

Step-by-step explanation:

y = .10d + .25q

y is the total amount, if you have d dimes and q quarters

Answer:

5 cups is 2.5 pts

Step-by-step explanation:

cups pts

5.00 2.5

5.01        2.505

5.02 2.51

5.03 2.515

Answer:

106 square

Step-by-step explanation:

Area of rectangle = 3,394 square meters

Width = 32 meters

Length = ?

Area of rectangle = Length * Weight

3,394 = 32 * x

x = 3,394 /32

x = 106.0625

x = 106

The Length is 106 square

Answer:D

Step-by-step explanation:

Answer:

B. [tex]b \leq 1\frac{7}{10}[/tex]

Step-by-step explanation:

Isolate b in order to solve the inequality. Subtract [tex]\frac{9}{5}[/tex] on both sides of the inequality, then simplify. (You will need to convert the fractions in order to subtract and simplify further.)

[tex]\frac{7}{2} \geq b + \frac{9}{5} \\\frac{7}{2} -\frac{9}{5} \geq b + \frac{9}{5} -\frac{9}{5} \\\frac{35}{10} -\frac{18}{10}\geq b\\\frac{17}{10} \geq b\\1\frac{7}{10} \geq b[/tex]

Thus, [tex]b \leq 1\frac{7}{10}[/tex].

Answer:

b

Step-by-step explanation:

Answer:

36 degrees

Step-by-step explanation:

There's 180 degrees in a triangle.

Since they're supplementary angles, we do 180-142=38.

We now know that 106+38+x=180.

Solve for x: x=36

Answer:

6/5 is bigger

Step-by-step explanation:

6/5 simplifies to 1 and 1/5 which is greater than just 4/5

Answer:

6/5, the numerator is the number that determins the amount that is an improper fraction actually, the proper way of writing it is 1 and 1/5 but both are acceptable. most teachers prefer it this was though.

Step-by-step explanation:

hope this helps

GIven:522 miles in 9 hours.

So if we divide 522 by 9 we get that Kira drives 58 miles per hour.

Now in 7 hours Kira just drives 7 times that which means Kira drives.

58*7=406 miles

Hope this helped!

Step-by-step explanation:

Distance travelled in 9 hours = 522 miles

Distance travelled in 1 hour = 522/9 = 58 miles

Distance travelled in 7 hours = 7 * 58 = 406 miles

Hope it will help :)

Answer:

B

Step-by-step explanation:

7 - a + 3

subtract 7 from both sides.

-a = 3 - 7

add like terms (3 + - 7)

-a = -4

divide both sides by -1. (remember that in front of the a, a 1 is there.)

a = 4

answer: b. 4

Answer:157.47722557

Step-by-step explanation: