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spin [16.1K]
3 years ago
15

Given that f(x) = x + 4 and g(x) = x + 7, find (g – f)(x). Question 2 options: (g – f)(x) = 3 (g – f)(x) = – 3 (g – f)(x) = – 4

(g – f)(x) = 4
Mathematics
2 answers:
kupik [55]3 years ago
7 0

Answer:

Step-by-step explanation:

nk ml njmk njnkiol,.

Ivenika [448]3 years ago
6 0

Answer:

  • A. 3

Step-by-step explanation:

<u>Given </u>

  • f(x) = x + 4 and
  • g(x) = x + 7

<u>Find (g - f)(x):</u>

  • (g – f)(x) =
  • g(x) - f(x) =
  • x + 7 - x - 4 =
  • 3

Correct choice is A

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The table shows the number of balls, by sport, in the gym. Sports Number of balls Basketball 2 Dodgeball 18 Soccerball 8 Tennis
ankoles [38]

Answer:

Option A is correct.

Step-by-step explanation:

No of Balls in Basketball = 2

No of Balls in Dodge ball = 18

No of Balls in Soccer ball = 8

No of Balls in Tennis ball = 14

\frac{No.\:of\:Soccer\:ball}{No.\:of\:Tennis\:ball}=\frac{8}{14}=\frac{4}{7}

Ratio of Soccer balls to Tennis balls = 4 : 7

⇒ For every 4 Soccer ball, there are 7 Tennis ball.

\frac{No.\:of\:Basket\:ball}{No.\:of\:Dodge\:ball}=\frac{2}{18}=\frac{1}{9}

Ratio of Basket ball to Dodge Ball = 1 : 9

⇒ For every 1 Basket ball, there are 9 Dodge balls.

Therefore, Option A is correct.

6 0
3 years ago
Given the pair of triangles are similar find the unknown length of the sides labeled with a variable
MArishka [77]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. Let us assume the following:

Let us assume triangle ABC is a right angled triangle with side AB = 24, AC = 32 and the hypotenuse BC = 40.  Triangle PQR is a right angled triangle similar to triangle ABC with side PQ = 27,  PR= b and the hypotenuse QR = a.

Answer:

Two triangles are said to be similar if they have proportional angles or proportional sides that is they have the same shape. For similar triangles, the ratio of their corresponding side are the same.

Given that triangle ABC is similar to triangle PQR, therefore:

\frac{AB}{AC}=\frac{PQ}{PR}\\  Substituting:\\\frac{24}{32}=\frac{27}{b}\\cross\ multiplying:\\b=\frac{27*32}{24}\\ b=36

\frac{AB}{BC}=\frac{PQ}{QR}\\  Substituting:\\\frac{24}{40}=\frac{27}{a}\\cross\ multiplying:\\a=\frac{27*40}{24}\\ a=45

5 0
4 years ago
6.849 to the nearest hundredth
diamong [38]

Answer:

6.85

Step-by-step explanation:

5 0
3 years ago
The proof for the product property of logarithms requires simplifying the expression logb(bx y) to x y. Which property is used t
masya89 [10]

You can use the properties of logarithm to derive the simplified form of the given expression.

The simplification of the given expression requires the given below properties of logarithm

  • log_a(b^c) = c \times log_a(b)\\\\
  • log_b(b) = 1

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

  • b = log_a(c)

Some properties of logarithm are:

log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1

<h3>Using the above properties, to get to the simplified form of the given expression</h3>

The given expression is

log_b(b^{x+y})

Using the property log_a(b^c) = c \times log_a(b)\\\\, we get

log_b(b^{x+y}) = (x+y)\times log_b(b)

Using the property log_b(b) = 1, we get

log_b(b^{x+y}) = (x+y)\times log_b(b) = (x+y) \times 1 = x + y

Thus,

The simplification of the given expression requires the given below properties of logarithm

  • log_a(b^c) = c \times log_a(b)\\\\
  • log_b(b) = 1

Learn more about logarithms here:

brainly.com/question/20835449

3 0
2 years ago
Read 2 more answers
Pls help with linear equations!!!
artcher [175]

Answer:

266

Step-by-step explanation:

Let no. of main floor tickets = x

Balcony tickets = x + 100

4(x+100) + 12(x) = 3056

4x + 400 + 12x = 3056

16x = 3056-400

16x = 2656

x = 2656/16

x = 166

No. of Balcony tickets = x + 100 = 166 + 100 = 266

4 0
3 years ago
Read 2 more answers
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