Answer:
B
Step-by-step explanation:
[tex]y = \sqrt{x } - 4 \\ \sqrt{x} = y + 4 \\ x = (y + 4) {}^{2} \\ [/tex]
Domain of inverse = Range of f = x>-4
Hence B
The correct option is B which is f⁻¹(x) = ( x + 4 )² and x ≥ -4.
What is an inverse function?The inverse function of a function f in mathematics is a function that reverses the operation of f. If and only if f is bijective, the inverse of f is true.
A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
The given function is f(x) = √x - 4. The inverse function will be calculated as:-
y = √x - 4
√x = y + 4
Squaring on both sides.
x = ( y + 4 )²
Replace x with y.
y = ( x + 4 )²
The range of the function is x ≥ -4.
Therefore, the correct option is B which is f⁻¹(x) = ( x + 4 )² and x ≥ -4.
To know more about an inverse function follow
https://brainly.com/question/3831584
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Solve for x. Round to the nearest tenth, if necessary.
Answer:
9.4
Step-by-step explanation:
cos 32° = 8/x
x = 8/ cos 32°
= 8/ 0.8480
= 9.4
The value of the variable 'x' using the cosine formula will be 9.4 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The value of 'x' is given by the cosine of the angle ∠VWU. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have
cos 32° = 8 / x
x = 9.4
The value of the variable 'x' using the cosine formula will be 9.4 units.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
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the difference in the measure of two complementary angle is 28 degrees. find the measure of these angles.please answer this question.
Answer:
Hey
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
because i said so
Which statement about y= 7x2 + 23x + 6 is true?
Answer:
Please include the statements too
On Monday, 405 students went on a trip to the zoo. All 7 buses were filled and 6 students had to travel in cars. How many students were in each bus
Answer:
57 students
Step-by-step explanation:
Since 6 students count not fit and they had to go in cars, there is a remainder of 6. Subtract that from the total, 405, and you get 399.
Then, divide that by 7, and you get the answer. 57.
Hope it helps!
Answer:
57 students
Step-by-step explanation:
405-6=399
399÷7=57
plzz help me out i really need help
Need help on this!!!
Answer:
Step-by-step explanation:
Range goes from the lowest point on a graph to the highest point, not including anything in between those 2 extremes. We will evaluate the quadratic for the values given. First f(2):
[tex]f(2)=(2)^2-5[/tex] so
f(2) = -1
Now, f(4):
[tex]f(4)=(4)^2-5[/tex] so
f(4) = 11
Now, f(7):
[tex]f(7)=(7)^2-5[/tex] so
f(7) = 44
The lowest y value is -1 and the highest is 44, so the range is from -1 to 44 (I can't tell which of your choices reflects that because it's too small!)
Hi i’m looking for some help
Find the volume of this sphere.
Use 3 for 7.
V
V~ [?]in3
V = $703
11 in
Answer:
Step-by-step explanation:
Volume of a sphere is
[tex]V=\frac{4}{3}\pi r^3[/tex] And using r = 11 and pi = 3 (which is so far off, it's ridiculous):
[tex]V=\frac{4}{3}(3)(11)^3[/tex] which gives us that
V = 5324 in³
A blue chip company that makes computer chips found that 2 out of
every 300 chips are defective. What is the percentage of the defective
chips?
RE
со
Answer: Approximately 0.667%
Work Shown:
2/300 = 1/150 = 0.00667 = 0.667%
So less than 1% of the chips are defective.
Help plz need it bad
Option B
Yes, because every value of x corresponds to exactly one y-value .
Please help. I am really stuck on this little problem. I need to find the domain and Range for this graph.
Answer:
This isn't the answer but if you can take a pic of this and put it in this app called "Math-way" or "Photo-math" those help me
(d) 23.89 cg = ______________ Kg
Answer:
the answer is 0.0002 kilograms
Step-by-step explanation:
Can somebody help me please?!!
Answer:
Step-by-step explanation:
Find the area of the rhombus
Answer:
The rhombus has an area of 240 units. (2nd one on the left).
Step-by-step explanation:
The intersection of diagonals meet at right angles. That means that the labeled sides are the hypotenuse and 1 leg of a right angle triangle. You need to find the other leg by using the Pythagorean Theorem
a^2 + b^2 = c^2
a = 8
b = ?
c = 17
8^2 + b^2 = 17^2
64 + b^2 = 289 Subtract 64
b^2 = 289-64
b^2 = 225 Take the square root of both sides.
sqrt(b^) = sqrt(225)
b = 15
Find the area of 1 triangle
Area = 1/2 * a * b
a = 8
b = 15
Area = 1/2 * 8 * 15
Area = 60
Now find the area of 4 triangles.
4*60 = 240
can someone help me with this?
Answer:
-64 is the 26th number
it's an arithmetic sequence because the difference between the number is constant : -3
they are all -3 in difference
Step-by-step explanation:
an = a1 + (n-1)d
an = the nᵗʰ term in the sequence
a1=the first term in the sequence
d=the common difference between terms
-64 = 11 + (n - 1)-3
-64=11 -3n+3
-78 = -3n
n = 26
[tex]solve : - \\ \\ (4 {}^{2} + 5 {}^{2} ) = {?}[/tex]
Step-by-step explanation:
4² = 16
5² = 25
16+25 = 41
41 is the answer.
Hope it helps! :)
Answer:
[tex]( {4}^{2} + {5}^{2} ) \\ (16 + 25) \\ = 41[/tex]
Which of the statements proves that the lines a and b are parallel?
Answer:
C
Step-by-step explanation:
1,2 are both supplementary
There are 36 pencils in 6 packs. Igor wants to know how many pencils are in 1 pack. Elsa wants to know how many pencils are in 3 packs. please help me I did not bring pencil and paper to Herman park
Answer:
18 pencils in 3 packs.
Step-by-step explanation:
Assuming that each pack will have the same amount of pencils. It is given that there are 36 pencils in all when one has 6 packs. Find the amount in each pack by dividing (total amount of pencils)/(amount of packs) = Amount of pencils per pack:
36/6 = 6
There are 6 pencils in each pack.
Now, Elsa wants to know how much pencils are in 3 packs. Multiply the amount of packs with the amount of pencils in each pack:
Total amount of pencils = amount of packs (3) x amount of pencils per pack (6)
= 3 x 6
= 18
There are 18 pencils in 3 packs.
~
A shopkeeper has enough money to buy 40 books each costing Rs.125. How many books he can buy if he gets a discount of Rs.25 on each book ?
Answer:
48
Step-by-step explanation:
first , muntiply 40*125 = 5000( cost of 40 books in rs 125 each)
125-25 = 100
multiply 40*100= 4000
5000-4000= 1000
divide 1000/125 = 8
therefore , 40+8= 48
A farm grew 19.8 tons of wheat in 2013. The farm's wheat output increased by 9.8% from 2013 to 2014 and by 5.1% from 2014 to 2015. Which expression represents a for estimating the total output of wheat, in tons, in 2015?
A. 20 + 10 + 5
B. 20(10)(5)
C. 20 + 1.1 + 1.05
D. 20(1.1)(1.05)
Answer: Choice D
Explanation:
The increase of 9.8% rounds to 10% when rounding to the nearest ten
An increase of 10% would use the multiplier 1.1
Think of it like saying 1 + 0.10 = 100% + 10%
Similarly, the 5.1% rounds to 5% and an increase of this amount will use the multiplier 1.05
So if we started with 20 items, then 20(1.1)(1.05) is the expression that estimates an increase of 10% followed by an increase of 5%. The order doesn't matter (so you could increase by 5% first, then 10% later).
What is the measure of side B’C’?
write a linear equation that passes through the point (2,-9) and has a slope of -5
Answer:
y = -5x + 1Step-by-step explanation:
Given:
The slope m = -5 and point (2, -9)Use point slope form:
y - y₁ = m(x - x₁), where (x₁, y₁) is the given pointSo the equation is:
y - (-9) = -5(x - 2)y + 9 = -5x + 10y = -5x + 1pls help w explanation!!!
At her gym, Ximena spends 30 minutes on each aerobic workout and 20 minutes on each weight-lifting workout. Last week, Ximena spent between 190 and 230 minutes, inclusive, on 3 aerobic
workouts and w weight-lifting workouts. What is
one possible value of w?
Answer:
The possible values of W are 5, 6, and 7.
Step-by-step explanation:
Since at her gym, Ximena spends 30 minutes on each aerobic workout and 20 minutes on each weight-lifting workout, and last week, Ximena spent between 190 and 230 minutes, inclusive, on 3 aerobics workouts and W weight-lifting workouts, to determine what is one possible value of W the following calculation must be performed:
190 - (3 x 30) = X
190 - 90 = X
100 = X
100/2 = 5
140/2 = 7
Therefore, the possible values of W are 5, 6, and 7.
2/3 divided by 4/5? step by step requested
Answer:
5/6
Step-by-step explanation:
When dividing fractions, multiply by the reciprocal:
2/3 ÷ 4/5
2/3 x 5/4
Multiply the numerators and denominators by each other:
= 10/12
Simplify by dividing the numerator and denominator by 2:
= 5/6
The answer is 5/6
Solve the following system of equations algebraically.
y=2x-12
y=x+22+3
Answer:
x=37
Step-by-step explanation:
because
y=y
or as, 2x-12=x+22+3
or as, 2x-x=12+22+3
or as, x = 37
During the last ten years oliver has played 1200 games of chess oliver has drawn 6% of the games he has lost 33% of the game calculatehow many games og chess oliver won
Answer:
6+33=39 now we subtract from 100
100-39=61
He won 61 percent of the games
now we multiply 1200*0.61=732
so he won 732 of the 1200 games
Hope This Helps!!
11t - 6t = 45 solve the equation and enter the value of t below
Answer:
[tex]t = 9[/tex]
Step-by-step explanation:
[tex]11t - 6t = 45[/tex]
[tex]5t = 45[/tex]
[tex]t = \frac{45}{5} [/tex][tex]t = 9[/tex]
Hope it is helpful....Hey there!
[tex]\large\textsf{11t - 6t = 45}[/tex]
[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{(11t - 6t) = \bf 5t}[/tex]
[tex]\large\textsf{NEW EQUATION: 5t = 45}[/tex]
[tex]\huge\textsf{DIVIDE 5 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{5t}{5}=\dfrac{45}{5}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{5}{5}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{45}{5}}\large\textsf{ because that helps solve for the t-value}[/tex]
[tex]\mathsf{\bold{t} = \dfrac{45}{5}}[/tex]
[tex]\huge\textsf{SIMPLIFY \& YOU HAVE YOUR ANSWER}[/tex]
[tex]\mathsf{\dfrac{45}{5}=\bf 9}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: t = \bf 9}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex]find \: the \: volume \: of \: cylinder \\ \\ radius \: = 4 \: cm \\ \\ height \: = \: 10 \: cm \: \\ \\ [/tex]
Drag the tiles to the correct location on the image.Not all tiles will be used.
Answer:
Given,
side=4√5 millimetres
=4×4√5
=16√5
Perimeter= 16√5 milimetre
Area= side× side
=4√5 × 4√5
=80
Area= 80 square milimeters
------------------------------
hope it helps...
have a great day!
Answer:
solution:-Given,
side=4√5 mm
=4×4√5
=16√5
Perimeter= 16√5 mm
Area= side× side
=4√5 × 4√5
=80
Area= 80 square milimeters
------------------------------
hope it is helpful to you
stay safe healthy and happy
Find the product of the Mixed numbers.
2 2/3 x 1 1/2
what statemets are correct? Check all that apply.
1. write the mixed numbers as improper fractions
2. multiply the numerators to get 24.
3. multiply the denominators to get 6.
4. write the improper fractions as a mixed number
5. The product is 4.
6. The product is 2 2/5
Answer:
1., 2., 3., 5.
Step-by-step explanation:
2 2/3 x 1 1/2 =
= (2 * 3 + 2)/3 * (1 * 2 + 1)/2
= 8/3 * 3/2
= 24/6
= 4
Answer:
Write the mixed numbers as improper fractions.
Multiply the numerators to get 24.
Multiply the denominators to get 6.
Write the improper fraction as a mixed number.
The product is 4.
Step-by-step explanation:
the other person is wrong
I purposely got this question wrong so I can see the right answers
these are the correct answers
(edge)
Which of the following is the constant ratio of the relation shown in the table?
Answer:
hello!
where are you from ?
Step-by-step explanation:
option 4 is correct ...there is no constant ratio.