1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
8090 [49]
3 years ago
13

F(x) = -4x + 10 g(x) = x2 + 7x+ 5 Composition of functions how to solve value of g [f(4)]

Mathematics
1 answer:
maxonik [38]3 years ago
7 0

9514 1404 393

Answer:

  g(f(4)) = -1

Step-by-step explanation:

Evaluate this the way you would any function. Start with the inner parentheses according to the order of operations. Substitute for the function variable and do the arithmetic.

  g(f(4)) = g(-4·4 +10) = g(-6) = (-6)² +7(-6) +5 = 36 -42 +5

  g(f(4)) = -1

You might be interested in
12, 9, 15, 19, 20, 15<br><br> Mean <br><br> Median <br><br> Mode
Ede4ka [16]

Answer:

Mean: 15

Median:  15

Mode:  15

Step-by-step explanation:

<h2>Definitions:</h2>

<u>Mean</u>: It represents the average value of a given data set. The formula for finding the mean of a given set of numbers by taking the quotient of all numbers and the number of values. In other words:

\displaystyle\mathsf{Mean\:=\:\frac{Sum\:of \:all\: values}{Number\:of\:values \:in\: a \:given \:data\:set}}

<u>Median:</u> It represents the middle value in a given set of numbers. In order to determine the median, it is essential to arrange the given data either in <em>ascending</em> or <em>descending</em> order (although it is customary to arrange the numbers into ascending order).

  • If there is an odd number of values in a given set, then the <u>middle number</u> is the median of that set.
  • If a given list comprises of an even number of items, then we must take the <em>average</em> of the two middle numbers.

<u>Mode</u>: It represents the number that <u>occurs most often</u> on a list of items or data.

<h2>Solution:</h2><h3><u>Find the Mean:</u></h3>

Using the formula provided in the previous section for finding the mean:

\displaystyle\mathsf{Mean\:=\:\frac{Sum\:of \:all\: values}{Number\:of\:values \:in\: a \:given \:data\:set}}

\displaystyle\mathsf{Mean\:=\:\frac{12+9+15+19+20+15}{6}\:=\:\frac{90}{6}\:=\:15}

<h3><u>Find the Median:</u></h3>

Arrange the given data set in <u><em>ascending order</em></u>:

12, 9, 15, 19, 20, 15  ⇒  9, 12, <u>15</u>, <u>15</u>, 19, 20

Next, since there is an even number of items on our given data set, we must <u>take the average of the</u><u> two middle numbers</u> (which are 15 and 15):

\displaystyle\mathsf{Median\:=\:\frac{15+15}{2}\:=\:\frac{30}{2}\:=\:15}

Therefore, the median is 15.

<h3><u /></h3><h3><u>Find the Mode:</u></h3>

As described in the previous section of this post, the mode is the number that occurs most often on our given data. The only repeating number on our list is 15, hence it is the mode.

Therefore, the <em>mean</em>, <em>median</em>, and <em>mode</em> of the given data set is <u>15</u>.

6 0
2 years ago
Identify the interquartile range for the set of values below. 37, 34 , 29 , 33, 35 , 30 , 34 A) 4 B) 5 C) 3 D) 8
dusya [7]

Answer:25th Percentile: 5

50th Percentile: 30

75th Percentile: 34

Interquartile Range: 29

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which of the following equations has only one solution? x2 + 4x + 4 = 0 x2 + x = 0 x2 - 1 = 0
Nady [450]
<span>you can solve all quadratic equations using this method:
---
x^2 + 4x + 4 = 0
---
the above quadratic equation is in standard form, with a=1, b=4, and c=4
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 4 4
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
this quadratic has ONE real root (the x-intercept), which is:
x = -2
x = -2
---
---
---
---
x^2 + x = 0
---
the above quadratic equation is in standard form, with a=1, b=1, and c=0</span>
4 0
2 years ago
Read 2 more answers
a force of 50 pounds stretches a spring 4 inches. how much force is required to stretch the spring 10 inches?
-BARSIC- [3]

Answer:

125 pounds

50/4 = 12.5 pounds stretches a spring to 1 inch

12.5x10=125 pounds of force

3 0
1 year ago
Add or subtract. (3/x-2)+(4/x+5)
Alex787 [66]
The answer is 7x+7/x^2+3x-10
3 0
3 years ago
Other questions:
  • this set of related facts contains two numbers less then 10. one of these numbers is the product of 3 . when you multiply the tw
    6·1 answer
  • Find the volume of the triangular prism. Explain the answer.​
    7·1 answer
  • NEED HELP LIKE NOW PLSSS HELP 50 POINTS Type the correct answer in the box. Use numerals instead of words. If necessary, use / f
    8·1 answer
  • Greg withdrew $37 from his account on Wednesday and then deposited $15 in his account on Thursday. On Friday, he withdrew $120.
    10·1 answer
  • Just need help with c, f, &amp; e <br><br> please provide a step by step explanation
    15·1 answer
  • How many numbers are 10 units from 0 on the number line? Type your answer as a numeral.
    11·2 answers
  • Two children want to race around the city block. The length of the block is 80 yards. The width of the block is 60 yards.
    6·2 answers
  • I’ll love u forever if u help with this ASAP PLZZZZ what are at least 3 non examples of speed and also for velocity plzzzzz
    15·1 answer
  • What is the total cost of a $28 pair of jeans if the sales tax is 7.5%?
    11·1 answer
  • A merchant bought 1000 electric bulbs at the rate of Rs.150 each. 50 of them were broken on the way and the remaining he sold at
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!