Answers
Answer:
C
Step-by-step explanation:
the domain is for which values of x is that function defined (is that a valid function).
the range is what values that function can produce based on all the different x-values as input.
so, checking option A
that means all x values are negative.
that means all values inside the square root are negative.
the resulting function values are a discussion class of numbers and not part of the interval of (0, infinity).
so, it cannot be A.
checking option B
the domain range includes the value 6 for x.
but that would make this function for x=6 an invalid expression of 1/0
so, it cannot be B.
checking option C
the value range for x (domain) is x>6 (and excluding x=6).
and the result range is all positive numbers including 0.
there is no violation of any function principle.
the answer is C.
checking option D
similar to C, but the result range is defined as all numbers, negative and positive.
but for the domain the function can never produce negative numbers.
so, it is not D.
Related Questions
* please help*
What are the solutions of equation (x — 2)^2 = -3x + 6
Select all that apply.
A X= -3
B. X= -2
C. X= -1
D. x= 3
E. x= 1
F. X= 0
G. X= 2
Answers
Answer:
C and G
Step-by-step explanation:
Given
(x - 2)² = - 3x + 6 ← expand left side using FOIL
x² - 4x + 4 = - 3x + 6 ( subtract - 3x + 6 from both sides )
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2 → G
x + 1 = 0 ⇒ x = - 1 → C
what is the nth term of 1/3 4/7 7/11 2/3
Answers
Answer:
[tex]\frac{1+3(n-1)}{3+4(n-1)}[/tex]
Step-by-step explanation:
First find the pattern.
1/3 gets 5/21 added to it but doing that to 4/7 does not get 7/11, so it's nto normal adding.
if you multiply 1/3 gets 12/7, but if you multiply that by 4/7 you don't get 7/11 so it's not normal multiplcation.
I would next try only adding to the numerator and denominator separately.
so 1/3 gets 3 added to the 1 and 4 added to the 3. Doing that again gets us (4+3)/(7+4) = 7/11 and doing it again gets us 10/15 = 2/3. So that is the right answer.
So we know what is happening. if you start with 1/3 and increasingthe numerator by 3 and denominator by 4 then we know it's going to look like (1+3(n-1))/(3+4(n-1)) because the first term is when n=1 and we want that to cancel out. You can also simplify it and get (3n-2)/(4n-1)
Let me know if it doesn't make sense.
what is the answer to 7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m - 0.8)
Answers
Answer:
m=-2
Step-by-step explanation:
A watch that originally cost $110 has been marked down to $88. What was the percent of the markdown ?
12%
10%
25%
20%
Answers
Answer:
20%
Step-by-step explanation:
When calculating percents, it is important to divide by the initial value, not the end value. The formula for calculating percents is
[tex]\frac{finalvalue - inititalvalue}{initialvalue} * 100[/tex]
Plugging our values into this formula, we get
[tex]\frac{88-110}{110} * 100 = 20[/tex] as our answer.
Please help ASAP. Differentiating polynomials
Answers
Answer:
Step-by-step explanation:
If the function is
[tex]y=x^2-4x[/tex], then its derivative is
y' = 2x - 4. This is equal to 0 where
2x - 4 = 0 and
2x = 4 so
x = 2. When x = 2 in the original equation:
[tex]y =2^2-4(2)[/tex] so
y = -4. So the coordinate is (2, -4). On to the next one:
If the function is
[tex]y=25x +\frac{1}{x}[/tex] then its derivative is
[tex]y'=25-\frac{1}{x^2}[/tex]. This is equal to 0 where
[tex]25-\frac{1}{x^2}=0[/tex] and
[tex]-\frac{1}{x^2}=-25[/tex] or, in simpler terms:
[tex]\frac{1}{x^2}=\frac{25}{1}[/tex] so
[tex]25x^2=1[/tex] and
[tex]x^2=\frac{1}{25}[/tex] so
x = ±[tex]\sqrt{\frac{1}{25} }[/tex] so
x = [tex]\frac{1}{5},- \frac{1}{5}[/tex]. When you plug those into the original equation, you get the coordinates
[tex](\frac{1}{5},10)[/tex] and [tex](-\frac{1}{5},-10)[/tex]
Write the equation of a line passing through (4,1) and parallel to y = 3/2x + 3.
Answers
Answer:
y = 3/2x - 5
Step-by-step explanation:
y = 3/2x + b
1 = 3/2(4) + b
1 = 6 + b
-5 = b
Hiiioo! Can someone please help me out! :)❤️
Answers
Answer:
-2/3
3/2
Step-by-step explanation:
slope is m in the equation y = m*x+b.
3y=-2x-3
y=-2/3x-1
parallel lines have the same slope, so slope of parallel lines is -2/3
perpendicular lines have negative the inverse
so -(-3/2)=3/2
What is the area, in square inches, of the shape below?
Answers
Answer:
27.44 in²
Step-by-step explanation:
The formula for area of a triangle is a=[tex]\frac{bh}{2}[/tex], where a is area, b is base length, and h is height.
We can sub in the base and height lengths we know to work out the area. This gives a=[tex]\frac{5.6*9.8}{2}[/tex] or [tex]\frac{54.88}{2}[/tex].
This solves to 27.44 in².
**This content involves area of triangles, which you may wish to revise. If you are required to do this by hand, you may also like to review multiplying and dividing decimals. I'm always happy to help!
Step by step explanation
what is the equation of the red graph? g(x)=? A. g(x)=-x^2 B. g(x)=x^2 C. g(x)=(4-x)^2 D. g(x)=(8-x)^2
Answers
the answer of course is bobbies
Answer
the answer if b in the above
1, 3, 2, 2, 1, 3, 3, 1
Part A: What is the mean of the data? Show your work. (4 points)
Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)
Answers
Answer:
(I only know part A. sorry) The mean is 2.
Step-by-step explanation:
To find the mean of data you have to add all of the numbers and then divide by the total number of numbers being added. (I hope that made sense)
So you have to do- 1+3+2+2+1+3+3+1=16 -and then- 16÷8=2 -so you're answer is 2.
The amount of fence a farmer needs to create a garden with width w and length 1 is F = 5w + 21.
Which formula represents l in terms of F and w?
Answers
please please help!! limited time! i don’t understand!
Answers
Answer:
option b ) 18
Step-by-step explanation:
The questions states 3 different values for f(x)
f(x) = 3x + 12, if x ≤ -2
f(x) = 4 , if -2 < x < 3
f(x) = 2x² if x ≥ 3
Evaluate f(3)
x = 3, that is x ≥ 3
So we will have to choose f( x ) = 2x²
f( 3 ) = 2 (3)²
= 2 x 9
= 18
A factory makes orange paint by mixing red paint and yellow paint in the ratio 7:2. The factory makes 2700 litres of orange paint every day. How many litres of yellow paint does the factory use every day?
Answers
Answer:
2700÷9=300
300×2=600liters yellow paint
203 cm
196 cm
Question 1:
The formula to calculate the perimeter of the banner is
(a) 2 (1+ b)
(b) 2xrh + 2A
(c) a + (21 + b)
(d) 2 (1 + b) + ar
Answers
Answer:
πr + (2l + b)
Step-by-step explanation:
The figure is a composite figure, consisting of a semicircle and a rectangle :
The perimeter of a rectangle is the sum of the sides ;
Perimeter of semicircle is the 2πr/2 (Circumference / 2)
For the triangle, we take the sum of 3 sides ;
Length + length + breadth = 2l + b
Hence, the perimeter is :
2πr/2 + 2l + b
πr + (2l + b)
which segments are congruent?
Answers
Answer:
LN and NK
Step-by-step explanation:
line LK was bisected (cut in half) by JM
the segment created by the bisector will be congruent
Which of the following represents the factorization of the trinomial below?
-3x2 – 18x2 – 24x
Answers
Answer:
-3x(7x+8)
Step-by-step explanation:
-3x^2-18x^2-24x
-3x(x+6x+8)
-3x(7x+8)
What is the value of x?
OA 73°
OB. 71°
OC. 70°
OD. 68°
Answers
Answer:
OB.71
Step-by-step explanation:
correct me if I'm wrong
Answer:C.70
Step-by-step explanation:
A college had a tuition of $35,000, then increased it by 10%, then decreased it by 5%. What is the new tuition of the college after this increase and decrease?
Answers
Answer:
$36,575 is the new tuition
Sam had $42 to spend on 12 raffle tickets. After buying them he had $6 left. How much did each raffle ticket cost?
Answers
Answer:
Each raffle ticket cost $3.
The area of a rectangular painting is 5049 cm. If the width of the painting is 51 cm, what is its
length?
Answers
Answer:
The length is 99 centimeters.
Step-by-step explanation:
The area of a rectangle is found by multiplying:
A = Length • width
We also know that the area of the rectangular painting is 5,049 cm^2
An equation to represent this is:
51w = 5049
To find w, divide:
5049/51 = 99
CHECK YOUR ANSWER:
Formula tor area of a rectangle:
Length x width
Use formula with the measurements:
99 x 52 = 5049
So the length is 99 centimeters.
HOPE THIS HELPS!
Please help I’ve been struggling for ages!
Answers
Answer:
"D" only 1 & 2
Step-by-step explanation:
What portion of shared $7500 security costs should be apportioned to store A?
Answers
Answer:
3,750
Step-by-step explanation:
2500+1250+625+625=5000
2500/5000=.50 or 50%
7500X.50=3750
−5x+2y=9
y=7x
solve the system of equation
Answers
Which statement is NOT true concerning the graphing of a linear system?
------------------------------------------------------------------------------------------------------------------------------
Systems of linear equations that contain coordinates with fractions or decimals can be challenging.
You need to be careful and plot straight lines.
You can only graph a system of linear equations with a graphing calculator.
The point of intersection of lines that intersect at a shallow angle is difficult to determine.
Answers
You can only graph a system of linear equations.
If f(x) = x^2 + 1 find f (a+1)
Answers
Answer:
f(a + 1) = a² + 2a + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationExpand by FOILStep-by-step explanation:
Step 1: Define
Identify
f(x) = x² + 1
Step 2: Evaluate
Substitute in x [Function f(x)]: f(a + 1) = (a + 1)² + 1Expand [FOIL]: f(a + 1) = a² + 2a + 1 + 1Combine like terms: f(a + 1) = a² + 2a + 2Answer:
[tex]{ \tt{f(x) = {x}^{2} + 1 }} \\ { \tt{f(a + 1) = {(a + 1)}^{2} + 1 }} \\ { \tt{f(a + 1) = ( {a}^{2} + 2a + 1) + 1 }} \\ { \tt{f(a + 1) = {a}^{2} + 2a + 2}}[/tex]
What is the volume of the cube below?
Answers
Answer:
D. 9h
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cuboid Formula: V = a²h
a is the sides of the cubeh is the heightStep-by-step explanation:
Step 1: Define
Identify variables
a = 3
h = h
Step 2: Find Volume
Substitute in variables [Volume of a Cuboid Formula]: V = 3²hEvaluate exponents: V = 9hAnswer:
D. 9h
Step-by-step explanation:
Volume of a cube = Length × Width× Height
= 3×3×h
= 9h
х
3
3(x+4) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?
O 3x+12
O (3 + x) +4
O (x + 4) - 3
O 3x + 4
Answers
Answer:
O 3x+12
Step-by-step explanation:
3(x + 4) = (3 · x) + (3 · 4)
= 3x + 12
Hope this helps
HELP PLEASEEEE !!!!!
Answers
Answer:
5%
Step-by-step explanation:
5 customers ordered large cold drinks so the probability would be 5/100
To convert 5/100 to percent, just do 5/100 x 100%
Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
Ir = 4cm
2.5 cm
3 cm
3 cm
[?]%
Round to the nearest tenth of a percent.
Answers
Answer:
38.8%
Step-by-step explanation:
Area of the triange:
6*6.5*.5= 19.5
Area of the circle:
π*16= 16π
19.5/16π= .387940174
38.8%
Answer:
38.8%
Step-by-step explanation:
Sally is 54 years old and her mother is 80, how many years ago was Sally’s mother times her age?
Answers
41 years ago, when Sally was 13 and her mother was 39.
Step-by-step explanation: I've heard this question b4