Answer:
C. f(x) = (x-4)^2
Step-by-step explanation:
The function among the given option is f(x) = (x – 4)² hence option (C) will be the correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given that which one is a function so it is clear that f(x) = (x – 4)² is the best relation between x and f(x).
Hence this option will be the correct answer.
For more about the function
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Identify a1 and r for the geometric sequence defined by a Subscript n Baseline = negative 256 (negative one-fourth) Superscript n minus 1 a1 = r =.
Answer:
Identify a1 and r for the geometric sequence
defined by a Subscript n Baseline = negative 256 (negative one-fourth) Superscript n minus 1
a1 =
-256
r =
-1/4
Approximate the sum of the first 17 terms to the nearest tenth.
Sum =
-204.8
Step-by-step explanation:
The value [tex]a_1[/tex] is -256.
The value r = -1/4
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
Example:
2, 4, 8, 16 is a geometric sequence.
We have,
In a geometric sequence,
Each term is obtained by multiplying the preceding term by a constant factor, which is called the common ratio (r).
So,
The nth term of the sequence.
[tex]a_n[/tex] = -256 x [tex](-1/4){n-1}[/tex]
Now,
[tex]a_1[/tex] = -256 x [tex](-1/4)^{1 -1}[/tex]
= -256 [tex](-1/4)^0[/tex]
= -256 x 1
= -256
[tex]a_2[/tex] = -256 x [tex](-1/4)^{2-1}[/tex]
= -256 x [tex](-1/4)^1[/tex]
= -256 x -1/4
= 64
Now,
[tex]a_1[/tex] r = [tex]a_2[/tex]
-256 x r = 64
r = 64 / -256
r = -1/4
Therefore,
[tex]a_1[/tex]= -256 and r = -1/4
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Can you please simplify these expressions in two forms: radical and simplified without exponents?
I don't really understand how fractional exponents work, so an explanation would be appreciated.
27^4/3
36^3/2
(1/8)^2/3
128^5/7
Thank you :)
Answer:
(a.) 27^4/3 = 81, (b.) 36^3/2 = 216, (c.) (1/8)^2/3 = 1/4, (d.) 128^5/7 = 32
Step-by-step explanation:
All these expressions can be converted in square roots.
In order to do this, we can picture the fractional exponents as exponent / index
(a.) So for this first problem, we would have the cube root of [tex]27^{\frac{4}{3} }[/tex] or
[tex]\sqrt[3]{(27)^{4} }[/tex].
We must do the equation inside the radical first (i.e., [tex](27)^{4}[/tex]) to get [tex]\sqrt[3]{531,441}[/tex] = 81
We can follow these same steps for the remaining equations:
(b.) [tex]36^{\frac{3}{2} }[/tex] = [tex]\sqrt{(36)^3}[/tex] = [tex]\sqrt{46,656}[/tex] = 216
(c.) [tex](\frac{1}{8})^\frac{2}{3}[/tex] = [tex]\sqrt[3]{(\frac{1}{8})^{2} }[/tex] = [tex]\sqrt[3]{(\frac{1^2}{8^2}) }[/tex] = [tex]\sqrt[3]{(\frac{1}{64}) }[/tex] = [tex]\frac{1}{4}[/tex]
(d.) [tex]128^{\frac{5}{7} }[/tex] = [tex]\sqrt[7]{(128)^{5} }[/tex] = 32
Through observation and surveys, Dr. Thompson was able to determine how much time a sample of children spent playing outside. What type of research is this
The type of research that's illustrated in this case is a descriptive study.
What is a descriptive study?Descriptive study simply means a study where information is collected without changing the environment.
Since Dr. Thompson was able to determine how much time a sample of children spent playing outside, this is a descriptive study.
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Please help me fill in this chart! I can't figure out the formulas!!! 15 points to whoever solves this!!!
Answer:
72, 460, 14, 2468, 245, 17, 3485, 325, 20, 4368, 234.7, 23, 5631, 23 2/3
I will give brand list
Answer:
5/4
Explanation:
coordinates given (0,0) and (8,10)
How to find unit rate?
use this formula:
(y2-y1)/(x2-x1)
using the formula:
→(10-0)/(8-0)
→ 10/8
→ 5/4
→ 1.25
Answer:
5/4 cm/s
Step-by-step explanation:
The gradient (slope) of the line is equal to the speed of the object.
Gradient = change in y ÷ change in x
Using the two given points (0, 0) and (8, 10):
⇒ speed = (10 - 0) ÷ (8 - 0) = 5/4 cm/s
what is the answer to 2x-4=24
Answer:
x=14
Step-by-step explanation:
[tex]2x-4=24[/tex]
[tex]2x-4+4=24+4[/tex] (Add 4 to both sides)
[tex]2x=28[/tex]
[tex]\frac{2x}{2}=\frac{28}{2}[/tex] (Divide both sides by 2)
[tex]x=14[/tex]
~
Hope this helps!
Answer:
x=14
Step-by-step explanation:
add 4 to each side then divide by 2
The area of a circle is 61.2cm2.
Find the length of the radius rounded to 2 DP.
Answer:
4.41 cm
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
61.2 = pi r^2
Using 3.14 for pi
61.2 / 3.14 = r^2
19.49044586 = r^2
Take the square root of each side
sqrt( 19.49044586) = sqrt(r^2)
4.414798507 = r
To 2 decimal places
4.41 = r
A carpenter cut a board that was 10 feet long into two pieces. The longer piece is 2 feet longer than three times the length of the shorter piece. What is the length of each piece?
Answer:
shorter piece: 2 feet
longer piece: 8 feet
Step-by-step explanation:
let the shorter piece be x
then the longer piece will be 3x + 2
if they join together:
3x + 2 + x = 104x + 2 = 104x = 10 -24x = 8x = 2Longer piece:
3x + 23(2)+28 feetAnswer:
x+3x+2=10
4x=10-2
4x=8
x=8/4
x=2 ft. for the shorter piece./
3*2+2=6+2=8 ft. for the longer piece.
Proof:
8+2=10
10=10
Step-by-step explanation: hope it helps u
keep smile
Mrs. Smith is ordering binders for her students. Each book costs $1.75 and there is a $5.50 flat fee for shipping. Which expression represents the total cost to ship b books?
A. (1.75 + 5.50)
B. 5.50 + 1.75
C. 1.75
D. 1.75 + 5.50
Answer:
1.75b +5.50
Step-by-step explanation:
1.75b= 1.75 a book
+ 5.50 = flat rate
I don't know what I'm suppose to do with the minus .Solve the inequality: 10 ≤ 7 - x
Answer:
Step-by-step explanation:
10 ≤ 7 - x
Add x to both sides
10 +x ≤ 7 -x + x
10 +x ≤ 7
Subtract 10 from both sides
10 - 10 + x≤ 7 - 10
x ≤ -3
x = { ....... -4, -3}
There is a population of 5 bacteria in a colony. If the number of bacteria doubles every 31 minutes, what will the population be 62 minutes from now? Write your answer in the box
Answer:
10
Step-by-step explanation:
31 Plus 31 = 62
2 times so
5 X 2=10
The sum of 3 consecutive odd numbers is 69. Find the numbers. solve the question in step-by-step
The question is related to an arithmetical sequence where common difference is 2.
(a-2) +a + (a+2) =3a=69
a=23
So three odds are
21 23 25
Each can of paint is 1,000 square inches . what is the fewest number of full cans of paint will maraina need.
Answer:
How many square feet does maraina need to fill though?
How many solutions does this equation have?
–16 + 18u = 18u + 17 − 15
Answer:
No solutions
Step-by-step explanation:
Zeke and six of his friends are going to a baseball game. Their combined money totals $28.50. At the game, hot dogs cost $1.25 each, hamburgers cost $2.50 each, and sodas cost $0.50 each. Each person buys one soda. They spend all $28.50 on food and soda. Determine how many different combinations, including those combinations containing zero, of hot dogs and hamburgers Zeke and his friends can buy, spending all $28.50. ENTER
1.25x + 2.5y + 0.5z ≤ 28.5
is your inequality
uiz / 3 of 5
Two different cell phone companies charge a monthly fee, plus a cost per text message. Cell phone company M charges a monthly fee of
$10, plus $0.15 per text message. The table below shows monthly charges of cell phone company N based on the number of texts.
Phone Company N
Number of Monthly
Texts
Charge
(x)
(y)
25
$17.50
50
$20.00
75
$22.50
Answer:
$22.50....................
The isosceles triangle has a perimeter of 7. 5 m. Which equation can be used to find the value of x if the shortest side, y, measures 2. 1 m? 2 x minus 2. 1 equals 7. 5 4. 2 plus y equals 7. 5 y minus 4. 2 equals 7. 5 2. 1 plus 2 x equals 7. 5.
Using the perimeter formula of the Isosceles triangle the equation 2x + 2.1 = 7.5 is derived. The correct option is D.
What is the isosceles triangle?Triangle is a polygon that has three sides. The sum of the angle of the triangle is 180 degrees. The two sides of the triangle are equal.
Given
The isosceles triangle has a perimeter of 7.5 m.
We know the perimeter of the Isosceles triangle.
Perimeter = Sum of all sides of the triangle
Let the sides be x and y and
And let y be the shortest side.
For y = 2.1 m, the equation will be
[tex]\rm Perimeter = x + x +y\\[/tex]
On simplifying the equation, we get
2x + 2.1 = 7.5
The required equation is 2x + 2.1 = 7.5.
Thus, option D is correct.
More about the Isosceles triangle link is given below.
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please answer as soon as possible!! (50 points)
Answer:
I think its the first one
Step-by-step explanation:
I need to find x, y and z. Can someone help me?
Answer:
look at the pictures
Step-by-step explanation:
All of the following are equivalent, except _____.
(12 + 3x) x
12 x + 3 x
(12 + 3) x
15 x
Answer:
x = 5
so that means the solution
Step-by-step explanation:
45x16+3X14+12x13=x918
The answer is:
AWork/explanation:
Let's take the time to simplify each of these expressions and see which ones are equivalent.
[tex]\mathbb{OPTION~A}[/tex]
[tex]\sf{(12+3x)x}[/tex]
Simplify by distributing x:
[tex]\sf{12x+3x^2}[/tex]
__________
[tex]\mathbb{OPTION~B}[/tex]
[tex]\sf{12x+3x}[/tex]
Combine like terms:
[tex]\sf{15x}[/tex]
__________
[tex]\mathbb{OPTION~C}[/tex]
distribute x
[tex]\sf{(12+3)x}=12x+3x=15x}[/tex]
___________
[tex]\mathbb{OPTION~D}[/tex]
Nothing can be done to simplify the expression 15x.
Hence, the "odd one out" is A, as it's not equivalent to the others.The radius of a circle measures 13 yd. What is the circumference of the circle
Answer:
=81.64yd
Step-by-step explanation:
c=3.14d
c=(3.14)*(13+13)
=81.64yd
22 people share 333 chocolate bars equally. Each chocolate bar is the same size.
About how much chocolate does each person get?
Answer:
15.31
Step-by-step explanation:
Once again, If you divide 333 chocolates by 22 people you will have 15.31 chocolates per person
Answer:
For the dude above or below me he ment 3 and 2 not 22 and 333 he copy and pasted it
Step-by-step explanation:
Workers in an office of 120 staff were asked their favourite type of take-away.
The results are summarised in the table.
Take-away Frequency Angle
Pizza 18
a
Curry 5
b
Fish & chips 25
c
Kebab 3
d
Other 69
e
How many degrees represent 1 person?
Angles: 42°, 114°, 24°, 30°, 150°.
Hey i rlly want to be done with thiss lol don't delete;-;
Answer:
hello the correct answer is y=30x+20
Step-by-step explanation:
A quarter is tossed, then a letter from the word SNOWFLAKE is chosen. How many outcomes are possible?
Answer:
18 Outcomes
Step-by-step explanation:
When the quarter is tossed, there is a total of 2 outcomes:
Heads or Tails
When a letter from SNOWFLAKE is chosen, there is a total of 9 outcomes:
S,N,O,W,F,L,A,K,E
To find out how many outcomes are possible, we multiply the 2:
2×9=18
18 Outcomes
What is the length of the line?
hopefully you can see the lines.
Answer:
Depending on what you're looking for: 5 or -5/2
Step-by-step explanation:
If non-function, count the height in which it covers: 5
If function, find slope (rise over run): -5/2
Please help it's for my homework, It's easy I'm just dum...
First, since it's given the angle PRS=98 degrees we can find x.
(3x-8)+(2x+6)=98 we can solve for x
after solving this we find that
x=20
Now we can solve for angle QRS
2x+6 plug in our values and we get
40+6, which equals 46 degrees
i know the frist when is 3/14 i just need help on the decimal and precent
Answer:
3/14 in decimal is 0.21428571428571
3/14 percent is 21.4
Please due tomorrow!!!!!!
Answer:
B. -94.94
Step-by-step explanation:
Substitute given value into function and evaluate
Answer:
-94.94
Step-by-step explanation:
The answer is -94.94. First you put -4.2 as x, so 23.2*-4.2 which gives you -97.44. Then you do (-97.44)+22.5. Which gives you the answer -94.94.
Please help me with number 3
Answer:
y=x(squared) -6x+5
Step-by-step explanation: