What are the domain and range of g(x)=√x+4?
OD: [4, ∞) and R: [0, ∞)
OD: (-4, ∞) and R: (-∞, 0)
OD: [-4, ) and R: [0, ∞)
OD: (4,) and R: (-∞, 0)
Answers
Answer:
Domain [-4 , +∞)
Range [0 , +∞)
Step-by-step explanation:
the function g such that g(x)=√(x+4) ,is defined
for the values of x that verify :
x + 4 ≥ 0
⇔ x ≥ -4
Then
The domain of g is [-4 , +∞)
………………………………………………
Let x ∈ [-4 , +∞)
then x ≥ -4
then x + 4 ≥ 0
then g(x) = √(x+4) ≥ 0
Therefore, we can affirm that the range of g is [0 , +∞)
Related Questions
Match each part of this algebraic expression with this appropriate description
Answers
Answer:
1) x and y --> Variable(s)
2) 1/6 --> Constant(s)
3) 12.1, 4.7, and 6 --> Coefficient(s)
4) 12.1x and 6x --> Like Terms
5) 12.1x, 4.7y, and 1/6 --> Terms
Your grandfather has enjoyed good vision for most of his 80 years. You observe him having trouble reading websites on his new iPad, squinting while he moves it towards and away from his face. You realize he might benefit from reading glasses. Since you were going out anyway, you offer to pick up a pair of glasses for him at the drug store. Consider that your grandfather is at his most comfortable reading posture when he is holding the iPad at a distance of 18 inches.
a. What dioptric power of reading glasses should you get for your grandfather? Note that reading glasses are normally available in increments of 0.25 Diopter.
b. It occurs to you that you could have just shown grandpa how to make the displayed content appear larger on the iPad by adjusting the display "zoom". What percentage zoom (100% is the default view, 200% would make text and images twice as large) would give your grandfather a similar viewing experience to wearing the reading glasses you were planning to purchase?
Answers
Answer:
Step-by-step explanation:
Given that:
The focal point = 18 inches
= (18 × 0.0254)m
= 0.4572 m
= 45.7 cm
For such a comfortable distance of 45.7 cm, the perfect lens power for grandfather can be determined.
Let's recall that, the accommodation amplitude usually decreases with age and eventually becomes 1 D after the age of 50.
Thus, +2.5D or a convex lens appears to be a perfect one.
b. We will agree that Diopter illustrates the optical power or most at times the capability of the lens.
So, 3D is equally 1.75X magnification which is likely to be double the zoom as it will be helpful to the grandfather.
Now, for a 2.5D, approximately 1.5X zooming once(200%) will be perfect and equal to viewing with the reading glasses.
Can I get some help I don’t get this
Answers
Answer: 3 1/30
Step-by-step explanation:
Hi, IReady sucks. So I am gonna help you. I got 3 1/30 when you add them together. I would also recommend using a Fraction Calculator online. ;) it helps a lot!
Two triangles are cut from a rectangle to form a trapezoid. What is the ratio of the area of the trapezoid to the combined area of the triangles? A 18:54 C 54:18 B 18:72 D 72:18 12 in group of students is painting a background piece
Answers
The image showing the trapezoid is missing, so i have attached it.
Answer:
C 54:18
Step-by-step explanation:
Formula for area of trapezoid is;
A_trap = ½(sum of parallel sides) × height = ½(12 + (12 - (3 + 3))) × 6
A_trap = ½(12 + 6) × 6
A_trap = 54 in²
Combined area of triangle:
A_tria = 2 × ½ × 3 × 6 = 18 in²
Thus;
A_trap:A_tria = 54 in²:18 in² = 54:18
The image showing the trapezoid is missing, so i have attached it.
Answer:
C 54:18
Step-by-step explanation:
Formula for area of trapezoid is;
A_trap = ½(sum of parallel sides) × height = ½(12 + (12 - (3 + 3))) × 6
A_trap = ½(12 + 6) × 6
A_trap = 54 in²
Combined area of triangle:
A_tria = 2 × ½ × 3 × 6 = 18 in²
Thus;
A_trap:A_tria = 54 in²:18 in² = 54:18
Which side lengths form a right triangle?
Choose all answers that apply:
A
3, 27,6
B
8,15,17
C
5,5, 50
Answers
B: 8,15,17
These lengths forms a
right angle triangle.
Evaluate the function at the given values.
f(x) = 4x-5
a. f(6)
b. f(-1/2)
c. f(0)
Answers
Answer:
C. F(0)
Step-by-step explanation:
Add 5 to both sides. 5(x)=4(x)
5(0)=4(0) because 5 x 0 = 0 and 4 x 0 = 0.
a statement for the equation p-6=10
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]p - 6 = 10[/tex]
Required
Write a statement for the expression
The statement is:
The cost of a grater is $6 less than the cost of an electric cooker, What is the of the electric cooker?
The above statement when translated to a mathematical expression is:
[tex]p - 6 = 10[/tex]
Where p represents the cost of the cooker
Solving for p.
[tex]p = 10 + 6 = 16[/tex]
Salut, am si eu o intrebare, care ma cam "bate" pot spune, deoarece imi da rezultate multiple, iar intrebarea este urmatoarea:
Cati bani poti face timp de 6 luni punand cate 5lei/zi? Dar timp de 7luni, a cate 5lei/zi??
Va rog, ajutati-ma cat puteti de repede.
Seara faina!
Dau coroana, daca pot!
Answers
Answer:
sorry
Step-by-step explanation:
I need help ASAP will mark you the brainliest
Answers
Answer:
The similarity is they are using tools to help them make the lines, but the differences are they are using different tools to make different lines. While 1 of the tools is similar to the other
Step-by-step explanation:
NEED HELP ASAP!!!!!!!
Answers
Step-by-step explanation:
It's must be -3 ...............
what is 2604 divided by 5
Answers
Answer:
150.80
Step-by-step explanation:
Answer:520.8
Step-by-step explanation:
the diffrence between two positive numbers is 7 and the square of thier sum is 289
Answers
Answer:
One of the Numbers is -151 and the other is -144
Step-by-step explanation:
Set up the equations then solve
How do I Estimate how many cups of Fruit Trail Mix the recipe can make
Please help I don’t understand
Answers
Simplify. Identify any x value for which the expression is undefined x^2+3x/x^3
Answers
Answer:
x = 0
Step-by-step explanation:
I think you mean
[tex] \dfrac{x^2 + 3x}{x^3} [/tex]
The only undefined values of x come from the denominator, x^3.
A denominator cannot equal zero since division by zero is undefined.
Therefore if x^3 equals zero, you get an un defined expression.
We let x^3 = 0 and solve for x to find the values of x that would cause an undefined expression.
x^3 = 0
Solve for x by taking the cubic root of both sides.
x = 0
Answer: x = 0
pls pls guys pls pls pls pls pls
Answers
Step-by-step explanation:
area of the parallelogram = height (h) × base ( b)
=. 4 m × 6 m
=. 24 m²
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
What is the probability that the red die shows a six or the green die shows a six?
Answers
Answer:
[tex]\frac{11}{36}[/tex]
Step-by-step explanation:
= 1/6 + 1/6 - 1/6^2
A carpenter needs to cut a 5 foot, 8 inch piece of wood from an 8-foot board to make a repair to a door. How many inches of wood will he have left after he makes the cut and repairs the cut and repairs the door?
Answers
Answer:
Step-by-step explanation:
1 foot = 12 inches
length of board in inches = 8 ft × (12 in)/ft = 96 in
length of cut in inches = 5 ft + 8 in = 5 ft × (12 in)/ft + 8 in = 60 in + 8 in = 68 in.
96 - 68 = 28 inches left
Zoey surveyed 580 of the students in her school about their favorite color. 35% said their favorite color was purple. How many students' favorite color was purple?
Answers
Answer:
203 students surveryed purple as their favorite color
Step-by-step explanation:
Let's set this up like a fraction
Percentages are always out of 100 so the denoninator will be 100
Since the number of students who's favorite color is equal to 35%, we will equal both fractions together
Variable x = number of students for purple
x/580 = 35/100
Cross multiply
x × 100 = 580 × 35
100x = 20,300
Isolate the variable by dividing both sides by 100
x = 203
203 students surveryed purple as their favorite color
-Ms. Gorman says, “Then victory won’t lie in the blade, but in all the bridges we’ve made.” What does she mean by ‘bridges?’
please help
Answers
Answer:
OH I love Amanda Gorman!
Step-by-step explanation:
A trader makes a loss of 10% when he sells a watch for 15,300
what did it cost?
Answers
Answer:
CP = 17000
Step-by-step explanation:
Given that,
Loss = 10%
Selling price of the watch, SP = $15,300
We need to find the cost price of the watch.
[tex]CP=\dfrac{100}{100-L\%}\times SP\\\\CP=\dfrac{100}{100-10}\times 15300\\\\CP=17000[/tex]
So, the cost price of the watch is 17000.
What is the value of y?
3
4
5
6
Answers
Answer:
Step-by-step explanation:
2y+4=10
we will subtract 4 from both sides
2y=10-4
2y=6
y=3
Answer:
3is your answer
2y+4=10
2y=10-4
y=6/2=3
Lizette earns $10 in gas money for driving to babysit and then earns $8 for each hour she
babysits the kids. How much money will she make for 5 hours of babysitting?
Answers
Answer:
$30
Step-by-step explanation:
8 x 5 = 40
40 - 10 = 30
Write a rule that represents the function.
Answers
which set a characteristics produces one uniche triangle
Answers
Answer:
A unique triangle will be produced if you are given: all three sides (Side-Side-Side) two sides and the included angle (Side-Angle-Side) two angles and the included side (Angle-Side-Angle)
Step-by-step explanation:
hope this helps! :D
find the value of x and round
Answers
Answer:
X=11.8
Step-by-step explanation:
Were best pals now lol
cinco problemas que Puedes resolver por medio de una computadora
Answers
Answer:
no se zorry ..............?..?
Asaprocurementofficer,youareresponsiblefortheselectionofasupplierformanufactured components to use in your company’s production process. A potential supplier has indicated that they can supply the component that has a defect rate of 1.1% that is well below your current supplier's defect rate. You take 100 components and find four of them defective upon evaluation. Using the Poisson Distribution, how likely is it to get four or fewer defects out of 100?
Answers
Ce clasă ești sa văd daca te pot ajuta
5. The perimeter of a polygon is__________ equal to 2w+21.
A. always
B. sometimes
C. never
lolamm ir
a regular polygon.
Answers
Find 30% of 70 whats your right one
Answers
Answer:
21
Step-by-step explanation:
I hope this helps!
If p = 6 and q = 7, what is the value of 2pq?
Ο Α. 42
O B. 126
0 C. 84
OD. 72
Answers
Answer:
C. 84
Step-by-step explanation:
2 x 6 x 7 =
12 x 7 =
84
Hope that helps!