Lets shift
[tex]\\ \rm\Rrightarrow f(x)=x^2[/tex]
[tex]\\ \rm\Rrightarrow g(x)=(x+2)^2[/tex]
[tex]\\ \rm\Rrightarrow g(x)=x^2+2x+4[/tex]
Answer:
g(x) = (x + 2)²
Step-by-step explanation:
In function notation, if we want to shift a function to the left, we add the number we are asked to move to the left inside the function's argument:
⇒ To shift f(x) b units to left → f(x + b)
Similarly, if we want to shift a function to the right, we subtract the number we are asked to move to the right inside the function's argument:
⇒ To shift f(x) b units to right → f(x - b)
Given function f(x) = x²
Shift 2 units to the left: f(x + 2) = (x + 2)²
Therefore, g(x) = (x + 2)²
HELP
Consider the table of values for functions f(x) and g(x).
x f(x) g(x)
−2 −32 125
−1 −1 15
0 0 1
1 1 5
2 32 25
3 243 125
4 1024 625
Which statements are most likely true based on the given values?
Select each correct answer.
A. f(x) is a polynomial function.
B. f(x) is an exponential function.
C. g(x) is a polynomial function.
D. g(x) is an exponential function.
E. The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.
F. The output values of g(x) will surpass those of f(x) as the input values continue to increase.
A . f(×)
IS POLYNOMIAL FUNCTION
or
E
the output of f(×) will remain greater than those of g(×) as input values continue to increase.
CORRECT ME IF I AM WHRONG.
THANK YOU.
Only option A, [tex]f(x)[/tex] is a polynomial function is the correct answer based on the table given.
PolynomialA polynomial is mathematical equation consisting of independent variables such that, for each value of the independent variable, the function have a unique value.
How to determine whether a function is a polynomial?As for uniques values of the variable [tex]x[/tex], the value of the function [tex]f(x)[/tex] is unique so, [tex]f(x)[/tex] is a polynomial function.
The function, [tex]g(x)[/tex] is not a function as it have equal values for two different values of the variable [tex]x[/tex].
Option E and F are incorrect as, we can see in the table that sometimes the value of [tex]f(x)[/tex] is more and sometime the value of the function, [tex]g(x)[/tex] is more.
Thus, only option A is the correct answer.
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Help help help help help help help help help help help help help
Step-by-step explanation:
Answer:
√21
Step-by-step explanation:
2^2+b^2=5^2
4+b^2=25
b^2=21
√ b^2=√ 21
9.Evaluate (9/4)^1/2
The exact form is 3/4
Decimal form is 1.5
And mixed number form is 1 1/2
Which pair of triangles can be proved congruent by SAS?
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The Triangles congruent by SAS criteria are the ones in choice B
where the two sides are given equal, one side is common in there and they have a right angle between the mentioned two sides.
So, it makes it more reasonable
Hope you understood ~ ask me if there's any doubt or more questions !
which of the following is a complex number?
Answer:
The complex number is B, [tex]3\sqrt{\frac{7}{5}}+\sqrt{-\frac{9}{5}}[/tex]
Step-by-step explanation:
A complex number should be written in the form [tex]a+bi[/tex], where a and b are real numbers, and i is an imaginary number.
Recall that [tex]\sqrt{-1}=i[/tex]. Since letter B has the second term [tex]\sqrt{-\frac{9}{5}}[/tex], we can say
[tex]\sqrt{-\frac{9}{5}}=\sqrt{-1\cdot\frac{9}{5}}=i\sqrt{\frac{9}{5}}[/tex]
Therefore, the number can be written as
[tex]3\sqrt{\frac{7}{5}}+i\sqrt{\frac{9}{5}}[/tex].
What is the opposite of each number?
Drag the answer into the box to match each number.
0.1
1/7
10
-7
0.1, -0.1 ,1 ,7, 10, 1/7, -10
Answer:
the opposite of 0.1 would be -0.1
the opposite of 1/7 would be 7
the opposite of 10 would be -10
the opposite of -7 would be 7
simplify using the order of operations. please show your math work step by step.
3. [2 + (12 - 2 . 4)] + 5
please help me
Answer:
23
Step-by-step explanation:
3 * [2 + (12 - 2 * 4)] + 5
~Multiply whats in parenthesis
3 * [2 + (12 - 8)] + 5
~Subtract whats in parenthesis
3 * [2 + (4)] + 5
~Add whats in brackets
3 * 6 + 5
~Multiply
18 + 5
~Add
23
Best of Luck!
linda Put $610 in a savings account that pays 1.2% interest each year. Enrique puts $590 in a high-yield account that pays 3.9% interest each year.
Enrique would make more interest than Linda in a year.
What is interest?Interest is the amount of money made from investing a particular amount over a period of time. It is given by:
I = PRT
Where P is principal, I is interest, R is rate and T is period.
For Linda in a year:
I =610 * 1.2% * 1 year = 610 * 0.012 * 1 = $7.32
For Enrique in a year:
I =590 * 3.9% * 1 year = 610 * 0.012 * 1 = $23.01
Enrique would make more interest than Linda in a year.
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Question 10 options: Arnold is planning on painting a mural. Before painting the mural, Arnold painted the picture on a paper that is 5 inches wide and 11 inches tall. Arnold is using a scale in which 12 inch represents 1 foot to paint the mural. How tall will the actual mural be?.
The scale ratio of a model is the proportionate ratio of the model's linear dimensions to the equivalent characters. The actual mural will be 5 inches wide and 11 inches tall.
What is the scaling ratio?The scale ratio of a model is the proportionate ratio of one of the model's linear dimensions to the equivalent characters in the original.
As it is given that Arnold is using a scale in which 12 inches represents 1 foot to paint the mural. but since we know that 12 inches are equal to 1 foot.
Therefore, the actual mural will also be 5 inches wide and 11 inches tall.
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If peter spent 500 dollars, how much did john spent?
Answer:
500 dollars spend by john
A piece of paper is chosen from a bag that contains 10 pieces of paper numbered 1 through 10. Find the probability that the paper chosen has an odd number or a number less than 5 on it.
Answer:
1/5
Step-by-step explanation:
Answer:
7/10 (70%)
Step-by-step explanation:
There are papers in the bag labeled 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. There are 5 pieces of paper that are odd, which are 1, 3, 5, 7, 9. Then, you also have to add in all the numbers less than 5, which are 1, 2, 3, 4. Now, 1, and 3, are already selected so you need to add 2 and 4. This leaves you with a group of numbers, 1, 2, 3, 4, 5, 7, 9. Those are 7 numbers, out of the possible 10, which means there's a 7/10 chance. (70%) chance.
Solve equation step by step
6= x+2/3
Answer: x = 16 or if it is x+2/3 (two thirds), then 5 1/3
Step-by-step explanation: 16+2 divided by 3 = 6. 5 1/3 + 2/3 = 6.
Answer:
5 1/3
Step-by-step explanation:
Step 1:
6 = x + 2/3 Equation
Step 2:
6 - 2/3 = x Subtract 2/3 on both sides
Answer:
5 1/3 = x Subtract
Hope This Helps :)
the output is 5 less than the input
Answer:
x - 5
Step-by-step explanation:
Let the input be x
Therefore, output = x - 5
Tell me how to write linear equations for slopes, but in a way that's easy to understand.
Oh, and if you can, explain linear functions too
Answer:
First linear equattion is equation with two variables and its formlla is y=mx+b . Where y and x are variables and m is the slope . And b is rhe y intercept means the value which get from the value of x is 0. and x intercept is the value when y is 0
calculate the value of 2a+3b if a=1 and b=2
calculate the value of 2a+3b if a=1 and b=2
= 2 * 1 + 3 * 2
= 2 + 6
= 8
* = multiply by
2a = 2 * a
and 3b = 3 * b
SO WHAT IS 7.6n-15=3.6n+5
Answer:
kinda hard
Step-by-step explanation:
Answer:
ya momma gay
Step-by-step explanation:
215
This pattern follows the "multiply by 3" rule. What is the next number in the pattern?
3, 9, 27, 81, ________
Answer:
243
Step-by-step explanation:
If you are multiplying by 3 for the next number in the sequence, you would need to do 81 x 3 which is 243.
Answer:
243
Step-by-step explanation:
If you are multiplying by 3 for the next number in the sequence, you would need to do 81 x 3 which is 243.
A right triangle has one angle that measures 15º. What is the measure of the other acute
angle?
Answer:
75°
Step-by-step explanation:
The sum of interior angles of a triangle is 180°Right angle = 90°Acute angle is an angle that measures less than 90°
Let x = unknown angle
Therefore, if a right triangle has one angle that measures 15°:
⇒ x + 15 + 90 = 180
⇒ x + 105 = 180
⇒ x = 180 - 105
⇒ x = 75°
[tex] \bigstar \underline\frak{Required \: Solution}[/tex]
[tex] \\ [/tex]
Given :-
Triangle is a right triangleOne angle of triangle = 15°[tex] \\ \\ [/tex]
To find :-
Left angle of triangle.[tex] \\ \\ [/tex]
So first you should know what is right triangle ?
A triangle which has one angle as 90° and other two angles are acute angle.
[tex] \\ [/tex]
So we get know that one angle of triangle is 90°
Now :-
[tex] \star \boxed{\angle 1 + \angle 2 + \angle 3 = 180\degree}[/tex]
Reason :-
Sum of angles of triangle is equal to 180°
Formula :-
sum = (no. of angles - 2) × 180°Sum = (3 - 2) × 180°Sum = 1 × 180°Sum = 189°[tex] \\ \\ [/tex]
Steps to find left angle :-
[tex] \\ [/tex]
[tex] \sf\dashrightarrow\angle 1 + \angle 2 + \angle 3 = 180\degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf\dashrightarrow90 + 15 + \angle 3 = 180\degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf\dashrightarrow105 + \angle 3 = 180\degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf\dashrightarrow\angle 3 = 180\degree - 105 \degree[/tex]
[tex] \\ \\ [/tex]
[tex] \bf\dashrightarrow\angle 3 = 75\degree[/tex]
[tex] \\ \\ [/tex]
.°. measurement of left angle is 75°
HELPPP! YOU'LL GET BRAINLIESTT!
Answer:
G
E
F
H
Step-by-step explanation:
I don't know what the parent function is. you did not specify that.
I guess it is f(x) = x² ?
anyway, x² is the prime example of a parabola, which simply opens upward and has the vertex (its minimum) at 0, 0.
now, g(x) is first of all multiplying this by -1.
that turns the original curve upside-down.
therefore, g(x) opens downward, and it has a maximum.
because of the mentioned upside-down action, this is a reflection across the x-axis.
the multiplication by 1/4 actually decreases the functional values compared to the basic x² curve, so the curve is below the x² curve and that means it stretches the original curve.
If I bought 2 1/4 pounds of hamburger, and the hamburger costed 4.48 dollars per pound, how much would it all cost? (I need answers quick, I'm in a test!)
Answer: $10.08
2 pounds of hamburger would equal $8.96.
1/4 of 4.48 is $1.12.
Add $8.96 and $1.12 is $10.08
Solve the equations. Show the solution sets on a number line.
|2/3q-1|=5
Answer:
q=9 or q=−6
Step-by-step explanation:
What is the range of function g?
Answer:
C -4,-3
Step-by-step explanation:
for PLATO
The range is given as [tex]\rm \left\{y|y \ \epsilon \ R,y\neq -4,-3 \right\}[/tex]. Then the correct option is C.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The range of the function will be
The range will be a real number, but Exclude the line x = -3 and circle point on the graph at (5, -4)
Then the range is given as
[tex]\rm \left\{y|y \ \epsilon \ R,y\neq -4,-3 \right\}[/tex]
Then the correct option is C.
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To number a book from 1 up to its last page took 552 digits. How many pages are in the book?
Explanation:
So 552 digits are used to number the pages of a book consecutively from page one. How many pages are there in the book?
1 to 9 = 9 digits
10 to 99 = 2*90 = 180 digits
So, 1 to 99 uses 189 digits.
552 - 189 = 363
3 digits per page = 363/3 = 121 pages starting at page 100.
Page 100 to 220 is 121 pages
220 pages in total
I hope this is logic is right - you might want a second opinion, too.
The number of the pages in the book which has a number from 1 to 552 digits will be 220.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
To number a book from 1 up to its last page took 552 digits.
Then the number of pages in the book will be
1 to 9 there are 9 digits.
From 10 to 99, the number of digits will be
2 × 90 = 180
10 to 99 there are 180 digits.
From 1 to 99, there are 189 digits.
Then the remaining digits will be
552 – 189 = 363
Three digits per page will be
363/3 = 121
Page starting at hundred.
Then the total number of pages will be
120 + 100 = 220
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Find the sum. Include all calculations in your answer. -4 5/8 =2 1/8
please hurry!
Answer:
Answer:
-2 1/4
Step-by-step explanation:
what is the significant figures in 9.7000
Answer:
its 5 my guy
Step-by-step explanation:
In an exam Ashley secured 332 marks. If she secured 83 % makes, find the maximum marks.
Answer:
Maximum = 400 marks
Step-by-step explanation:
Given :-
332 marks
83% of the marks
To Find :-
Total marks (T)
Solving :-
T x 83% = 332
T x 83/100 = 332
83T = 33200
T = 33200/83
T = 4 x 100
T = 400 marks
Solution :-
Maximum = 400 marks
The volleyball team is selling raffle tickets for $1. 50 each. It wants to make at least $250 from the sales. Assume everyone buys the same number of tickets. If there are 75 people at the fundraiser, what is the least number of tickets each person needs to buy to meet that goal?.
The least number of tickets each person needs to buy to meet that goal of volleyball team is 3 tickets.
What is an algebraic expression?The algebraic expression are used to represent the general problem in the mathematical way to solve them to find the value of unknown variable.
Let suppose the number of tickets sold are n. As the volleyball team is selling raffle tickets for $1.50 each and the total fund raised by selling the ticket is $250.
Thus, the number of tickets sold are,
[tex]n=\dfrac{250}{1.5}\\n\approx167[/tex]
Now everyone buys the same number of tickets and there are 75 people at the fundraiser. Thus, the number of tickets purchased by each fundraiser is,
[tex]x=\dfrac{167}{75}\\x=2.23[/tex]
The number of tickets should be more than 2.23 buy by each people to earn the profit at least or more than $250.
Hence, the least number of tickets each person needs to buy to meet that goal of volleyball team is 3 tickets.
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What is the area of the shape?
Answer:
49
Step-by-step explanation:
Please check the photo.
What is the value of the axis of symmetry?
y = 3x² + x
Answer:
[tex]x=-\dfrac{1}{6}[/tex]
Step-by-step explanation:
For a quadratic function in standard form [tex]y=ax^2 + bx + c[/tex], the axis of symmetry can be expressed as [tex]x=\dfrac{-b}{2a}[/tex]
For the equation [tex]y=3x^2+x[/tex]
[tex]a=3, b=1, c=0[/tex]
Therefore, the axis of symmetry is [tex]x=-\dfrac{1}{6}[/tex]
Given: angle 2 and angle 4 are vertical angles Prove: angle 2 congreunt angle 4
Answer:
Step-by-step explanation:
Answer: View the picture below!
Step-by-step explanation: Just did it!