Answers
Answer:
Step-by-step explanation:
The value of the function is given by the relation
f ( x = -10 ) = -19
f ( 2 ) = 4
f ( -5 ) = 25
f ( -1 ) = 1
f ( 8 ) = -5
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = { 2x + 1 when x ≤ 5
x² when -5 ≤ x ≤ 5
3 - x when x ≥ 5 }
Now , the value of the function is given by
when x = -10
f ( -10 ) = 2 ( -10 ) + 1
f ( -10 ) = -19
f ( 2 ) = 2²
f ( 2 ) = 4
f ( -5 ) = ( -5 )²
f ( -5 ) = 25
f ( -1 ) = ( -1 )²
f ( -1 ) = 1
f ( 8 ) = 3 - 8
f ( 8 ) = -5
Hence , the function is solved
To learn more about function rule click :
https://brainly.com/question/3760195
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Related Questions
If 3x−y=12, what is the value of
8x
2y
Answers
Answer:
[tex]8x=32\\2y=-24[/tex]
Step-by-step explanation:
When solving for 1 variable, set the other to 0 and solve.
[tex]3x-y(0)=12\\3x=12\\x=4\\4*8=32\\8x=32\\\\3(0)-y=12\\-y=12\\y=-12\\-12*2=-24\\2y=-24[/tex]
A man shares a $1,200,00 inheritance between his 3 sons in ratio 1: 3: 6. Calculate the difference between the largest share and the smallest share
Answers
Answer:
60000
Step-by-step explanation:
You should treat the first son with the 1 ratio as x. Because of this, the second son would be 3x and the third would be 6x. All of them need to equal 120000 so 10x=120000. Next you isolate the and x= 12000. Fill in 1200 for x and the first son gets 12000, the second gets 36000, and the third gets 72000. Lastly you subtract and you get 60000.
Mr. Berger assigned the following system of equations to be solved for homework.
2 x minus 3 y = negative 12. 4 x + y = negative 10.
Which is the x-coordinate of the correct solution?
x = negative 3
x = negative one-fifth
x = StartFraction 9 Over 7 EndFraction
x = 2
Answers
Answer:
x=-3
Step-by-step explanation:
2 x - 3 y = -12.
4 x + y = -10.
Answer:
X=3
Step-by-step explanation:
Trust me ;))
m-3/18=11/18 What is m??
Answers
Answer:
I think m is a variable
Step-by-step explanation:
because a variable is a letter representing a unknown amount
Step-by-step explanation:
hope this will help you.
Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other factor, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)
Answers
Answer:
(x - 2)(x + 1)(2x -1)
Step-by-step explanation:
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.
here, we have,
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.
Know more about Polynomials here:
brainly.com/question/2833285
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Find the solution of the equation. 2(2x + 3) = -4 + 2(2x + 5)
Answers
Answer:
x = 2/3
Step-by-step explanation:
4x + 6 = 10x + 10
4x = 10x - 4
6x - 4
x = 2/3
Have a great day <3
Divide both sides by 2
2x + 3 = -2 + (2x + 5)
Add 2 to both sides
2x + 3 + 2 = 2x + 5
2x + 5 = 2x + 5
Subtract 5 from both sides
2x = 2x
Divide both sides by 2
x = x
This means x can equal anything I believe.
Baby Rachel wants to arrange 12 blocks in a row. How many different arrangements can she make
Answers
Answer:
479,001,600 different arrangements
Step-by-step explanation:
How do you simplify 14.938 - 14.93 ?
Please help
Answers
Answer:
0.008
Step-by-step explanation:
To know the steps pls look at the pic above
Which of the values in the set {2, 3, 4, 5} is a solution to the equation 2x + 4 = 10? (4 points) a 2 b 3 c 4 d 5
Answers
Answer:
B: 3
Step-by-step explanation:
2x
x=3 3times2= 6
6+4 =10
Hope this helps
beş üzeri üç ekşi otuz bölübeş eksi iki üzeri iki işlemini sonucu aşağıdakilerden hangisidir?
A) 15
B) 78
C) 95
D) 115
cevaplarınızı bekliyorum.
Answers
Ce clasă ești sa văd daca te pot ajuta
Helppppppp meeeeeee pleaseeeeee asappp
Answers
Answer:
C
Step-by-step explanation:
open circle, arrow pointing left
One of the angles of a parallelogram is 36 degree greater than another one. Find the angles of the parallelogram
Answers
Answer:
72, 72, 108, 108
Step-by-step explanation:
x, x, x+36, x+36 =360
4x=288
x=72
so, x=72, x=72, x=108, x=108
Answer:
72*, 72*, 108*, 108*
Given: A regular hexagon; M is the midpoint of angle NO and RP. Prove: Angle NRM = Angle OPM
Answers
Answer:
Step-by-step explanation:
Since it is a regular hexagon, the length of its sides are equal. And same as the distance across its flats.
So that;
NR ≅ OP (property of a regular polygon)
PM ≅ RM (half of the distance across flats of a polygon)
NM ≅ OM (half of the distance across flats of a polygon)
<NMR ≅ <PMO (vertically opposite angles)
<NRM ≅ <OPM (alternate angle property)
<RNM ≅ <POM (alternate angle property)
This therefore proves that: ΔNRM = ΔOPM
Identify the exponential function for the given graph.
A)
f(x) = (şs* +2
f(%) (şyx - 2
f(x) = (-3;* + 2
f(x) = (–33* - 2
9.
D)
Answers
Answer:
Step-by-step explanation:
C - 3(2^x).
Samuel Morse determined that the percentage of t's being used in the English language in the 1800's was 9%. A random sample of 600 letters from a current newspaper contained 48 t's. Test the claim that the proportion of t's has changed in modern times, using the current newspaper data and a significance level of 0.05
Answers
Answer:
There is insufficient evidence to indicate that the population proportion of t’s in modern newspaper is different from 0.09. The result is not statistically significant
Step-by-step explanation:
H0 : p0 = 0.09
H1 : p0 ≠ 0.09
Sample size, n = 600 ; α = 0.05
Decision region
Zstatistic < Zcritical ; reject H0
P = 48 / 600 = 0.08
Zstatistic = (p - p0) ÷ sqrt((p0(1 - p0)) /n)
Zstatistic = (0.08 - 0.09) ÷ sqrt(0.09(0.91))/600)
Zstatistic = - 0.01 /0.0116833
Zstatistic = - 0.856
Zcritical at 0.05, = - 1.96
Zstatistic > Zcritical
-0.856 > - 1.96
Hence, we fail to reject the Null
Select each equation which is equivalent to 60% of 25.
✓
0.6 • 25 = x
X • 1.6 = 25
16
60
100
25
25
100
6.0 • 25 = x
Answers
Answer:
Step-by-step explanation:
The answer choices are not displaying properly. There are many ways to express the relation. For example:
X = 60% of 25
X = 0.60 × 25
X = 0.6 × 25
X = 60/100 × 25
X = 6/10 × 25
X = ⅗ × 25
A rectangular playground is 65m long and 30 m wide. A pathway of 1.5 m width goes all around, outside it. Find the area of the pathway
Answers
Answer:
97.5 m^2
Step-by-step explanation:
Given data
Length = 65m
Width= 30m
We are told that the width of the path= 1.5m
Hence the area of the path is
=65*1.5
=97.5 m^2
Harry got a raise. He now makes 105% of his old salary.
If his old salary was $55,000, what is his new salary?
helppp
Answers
Answer:
we simply do - 55,000*105/100
Which is 55,000*1.05
And that is 57750
So his new salary is $57750
Thanks and mark me brainliest becuz i have good answer :)
find the length and the breadth of a rectangular plot whose area is 660 sq.m and its perimeter is 104
Answers
Answer:
find the mean median mean devialion
PLEASE!! HELP!!
Question
Select the correct location on the number line.
Plot the square root of 3 on the number line.
H
1
2
Answers
Answer:
2nd dot from the left (in the 1.7 column)
Step-by-step explanation:
the square root of 3 is 1.73
each interval on that number line goes by one tenths
(1.1, 1.2, 1.3, etc.)
so counting 7 spaces from the number one should land you at 1.7
(the second red dot from the left)
hope i was able to help!
4. (Claim 1 Example)
Bob uses a 20 foot ladder to paint a section of his house that is 16 feet high.
H
16 ft
Ladder
20 ft
0°
Х
Ground
Select all equations that can be used to solve for e.
12
12
sino =
cos 0 =
A.
20
B.
20
tan
C.
12
20
16
sin =
20
16
cos O =
20
tan
16
20
D.
E.
F.
Answers
Answer:
D
Step-by-step explanation:
using Sohcahtoa we know that we can only use Soh (since we have the opposite,16 and the hypotenuse, 20)
D is the only one that uses the correct equation of S = o/h
(this explanation isn't the best so please search up Sohcahtoa if it doesn't make sense)
the difference of 10 and a number is -2 what is the answer
Answers
Answer:
The answer is 8.
Step-by-step explanation:
This question can be written as the equation x-10=-2. With this equation in mind we can get straight ahead to solving. This is just a one-step equation and all we need to do to get our answer from this point is just add 10 to both sides using the addition property of equality and once we do that we have X=8.
Write a rule for the linear function in the table.
A.
y = 1.2x + 2.4
B.
y = –1.2x – 2.4
C.
y = 1.2x – 2.4
D.
y = –1.2x + 2.4
Answers
Answer:
the answer is B
Step-by-step explanation:
the y-intercept is -2.4 and the y-values were descending and b was the only that has a y-in. of -2.4 and a negative slope (-1.2x)
Answer: Gradpoint answer
B. y = –1.2x – 2.4
Step-by-step explanation: My answer
A. y = 1.2x + 2.4
Please help will give brainliest
Answers
Answer:
another one ayy ok let me think
Step-by-step explanation:
b
Answer:
I believe is A
Step-by-step explanation:
20/4=5
4/4=1
because the ratio is friends to fluid ounces the answer would be 1:5
broooo plzzz helpppp
Answers
Answer:
3 3/5 + 1 1/4 = 4 17/20
7/8 + 1/12 = 23/24
8/9 - 2/5 = 22/45
5 1/4 - 2 2/3 = 2 7/12
Step-by-step explanation:
3 3/5 + 1 1/4
First convert into improper fractions
= 18/5 + 5/4
Now find the common denominator
72/20 + 25/20 =
97/20
Now simplify
4 17/20
Next problem:
7/8 + 1/12
find the common denominator
21/24 + 2/24 =
23/24
Next problem:
8/9 - 2/5
find the common denominator
40/45 - 18/45 =
22/45
Next problem:
5 1/4 - 2 2/3
First convert into improper fractions
21/4 - 8/3
find the common denominator
63/12 - 32/12 =
31/12
Now simplify
2 7/12
Evaluate the expression when y=6 and x=9.
x+7y
Answers
Answer:
9+(7)(6)
9+42=51
Step-by-step explanation: hope this help
4 5/7 + 3 3/4 = ??
Simplify ur answer
Show ur work
Answers
Answer:
237/28
Step-by-step explanation:
4 5/7=33/7
3 3/4=15/4
----------------
33/7+15/4=132/28+105/28=237/28
Answer:
8 13/28 or as a decimal: 8.46
Step-by-step explanation:
Rewrite the sum:
(4+3)+(5/7+3/4)
Add the numbers 4+3:
7+(5/7+3/4)
Add the fractions:
7+41/28
Convert the improper fraction into a mixed number:
7 + 1 13/28
Write the mixed number as a sum of the whole number and the fractional part:
7+1+13/28
Add the numbers 7+1 and then there is your answer!
8 13/28
If your paper, quiz, homework, etc says decimal form or alternative form then the decimal form is 8.46 and the alternate form is 237/26. But 8 13/28 cannot be reduced any lower.
What is the length of AB?
Answers
Answer: 6 units
Step-by-step explanation:
I know that in a triangle, there's two angles that have equal measures, then the sides opposite to them are equal in length. Thus, the length of side AB is 6 units.
Answer:
AB = 38.64 m
Step-by-step explanation:
[tex] \cos \: 75 \degree = \frac{10}{x} \\ \\ x = \frac{10}{ \cos \: 75 \degree } \\ \\ x = 38.637033052 \\ \\ x \approx \: 38.64[/tex]
AB = 38.64 m
janet buys 12 pencils for $1.49. what is the cost per pencil?
Answers
Answer:
0.124$
...............
you can simply divide the price of the pencils = 1•49$
by the number of pencils bought = 12
1•49/12
= 0•124$
Answer: 0.124166667 U.S. dollars
((1 U.S. dollar) + (49 U.S. cents)) / 12 =
0.124166667 U.S. dollars
Julie earns $9 each week as an allowance. If she spends $5 each week for lunch money and saves the rest, which expression shows how much money she will save in x weeks?
Answers
Answer:
(x)4
Step-by-step explanation:
(x) is the amount of weeks and 4 is the amount of money that is saved every week.