Answers
Answer:
[tex]y=\sqrt{x-5}[/tex]
Step-by-step explanation:
Answer:
The answer is [tex]y=\sqrt{x-5}[/tex].
Step-by-step explanation:
To solve for the inverse of this function, start by writing [tex]f(x)=x^{2} +5[/tex] as an equation, which will look like [tex]y=x^{2} +5[/tex].
Next, interchange the variables, and the equation will look like [tex]x=y^{2}+5[/tex]. Then, solve for the y in the equation,
To solve for the y in the equation, rewrite the equation as [tex]y^{2}+5=x[/tex]. Next, subtract 5 from both sides of the equation, which will look like [tex]y^{2}=x-5[/tex]. The next step is to take the square root of both sides of the equation to eliminate the exponent on the left side, and the equation will look like [tex]y=\sqrt{x-5}[/tex].
To put the answer in actual inverse form, the answer will be [tex]f^{-1} (x)=\sqrt{x-5}[/tex].
Related Questions
What is the product?
Answers
Answer:
Step-by-step explanation:
You can do this in two steps.
4s * (5s^2 + 10s + 3) Remove the brackets
20s^3 + 40s^2 + 12 s
2(5s^2 + 10s + 3)
10s^2 + 20s + 6
Now add them
20s^3 + 40s^2 + 12s + 10s^2 + 20s + 6
Rearrange them so the like terms are together.
20s^3 + 40s^2 + 10s^2 +12s + 20s + 6
20s^3 + 50s^2 + 32s + 6
I’m confused, please help
Answers
Answer: (a)
Step-by-step explanation:
Given
[tex]g(x)=x^2[/tex]
Clearly, [tex]f(x)[/tex] is obtained by shifting [tex]g(x)[/tex] 3 units down and multiplying it by a certain factor to amplify it.
Checking the option which is 3 units below and multiplying by a factor
option (a) is meeting both the cirterias.
Find the value of x.
Answers
Answer:
Step-by-step explanation:
When two chords intersect inside the circle, the product of their segments are equal.
BE * ED = AE * EC
x *3x = 4 *3
3x² = 12 {Divide both sides by 3}
x² = 12/3
x² = 4
x = √4
x = 2
Answer:
The value of x is 2.
Step-by-step explanation:
We know that , when the two chords are intersect inside the circle, the product of their segment are equal.
So, BE × ED = AE × EC
putting the values
x × 3x = 4 × 3
multiply the values
3 x ² = 12
divide 12 by 3
x ² = 12 / 3
x ² = 4
Taking the square root of 4
x = √4
x = 2
The value of x is 2.
Help please! I really need it
Answers
Radius is a line that reaches the middle of the circle, so like
——
CA
Complete the table for the given rule.
Rule:y= 4/1 x+1y
Answers
Answer: 2, 3, 4
Step-by-step explanation:
In the table graph provided, you will a column that has "x" as it's title. Under x, 4, 8, and 12 should listed. You figure out the answers for y by inputting the x value into the rule: y = 1/4x + 1.
For y = 1/4(4) + 1, you would multiply 1/4 by 4 and since the fours eliminate one another, you would get 1. Now, you would do 1 + 1, which equals 2. For y = 1/4(8) + 1, you would multiply 1/4 by 8 and since four and eight share the number four as their greatest common factor, four would be eliminated and eight would be reduced to 2. Now, you would do 2 + 1, which equals 3.For y = 1/4(12) + 1, you would multiply 1/4 by 12 and since four and twelve share the number four as their greatest common factor, four would be eliminated and twelve would be reduced to 3. Now, you would do 3 + 1, which equals 4.
find x if the mean of the number is 13 ,2x,0,5x,11 and 9
Answers
Answer:
45/7
Step-by-step explanation:
ok lets first find the total sum. there are 5 numbers so 13*5=65
2x+0+5x+11+9=65
7x=45
x=45/7 or 6.42857143
Một xí nghiệp sản xuất độc quyền hai loại sản phẩm. Biết hàm cầu của hai loại sản phẩm trên lần lượt là 1 2 Q 40 2 ; Q 35 D D 1 2 1 2 P P P P và hàm chi phí kết hợp là 2 2 1 1 2 2 1 2 C Q 6Q Q +Q +15Q 150 . Q Trong đó, P,Q 1,2 i i i lần lượt là đơn giá và sản lượng của sản phẩm thứ i . a) (CLO1.3, CLO2.2, CLO4.2) Tìm mức sản lượng của mỗi loại sản phẩm để xí nghiệp có lợi nhuận tối đa. Khi đó, giá bán các sản phẩm là bao nhiêu? b) (CLO1.3, CLO2.2, CLO4.2) Tính chi phí cận biên cho từng loại sản phẩm tại mức tối ưu tìm được ở câu a).
Answers
What is the explicit formula for this arithmetic sequence?
-12,-17, -22, -27, ...
Answers
Answer:
Step-by-step explanation:
An explicit arithmetic formula in standard form is
[tex]A_n=a_1+d(n-1)[/tex] where n is the position of a number in thesequence, a1 is the first number in the given sequence, and d is the common difference. The common diff here is -5 since we have to subtract 5 from each term to get to the next one in the sequence. The first number is -12. So
a1 = -12
d = -5 and the explicit formula is
[tex]A_n=-12-5(n-1)[/tex] and you could simplify it a bit to
[tex]A_n=-12-5n+5[/tex] and finally to
[tex]A_n=-5n-7[/tex] which is a linear representation. Arithmetic sequences can all be simplified down to represent lines.
If f left parenthesis x right parenthesis equals x squared minus 3 x plus 5 , then f left parenthesis 4 right parenthesis equals
Answers
Answer:
f(4) = 9
Step-by-step explanation:
f left parenthesis x right parenthesis equals x squared minus 3 x plus 5
f(x) = x² - 3x + 5
f left parenthesis 4 right parenthesis equals
f(4) =
f(x) = x² - 3x + 5
When x = 4
f(4) = 4² - 3(4) + 5
= 16 - 12 + 5
= 9
f(4) = 9
Answer:
Pretty sure its A
Step-by-step explanation:
HELP PLEASE !!
The drama teacher wants to determine whether more students at the school would attend a comedy or a musical performance. Select all the following that would NOT help the drama teacher draw conclusions about which performance more students would attend.
A. Students who do not act.
B. Every 4th student selected from an alphabetical list of all students at the school.
C. Students who are in drama club.
D. Students who are in theater class.
E. The same number of students from each grade whose names are randomly selected from a hat.
Answers
Answer:
A, B, and D
Step-by-step explanation:
NEED IT ASAP!!!!!
3 in.
Robert is computing the volume of this sphere:
Where did Robert make a mistake? Identify Robert's computational error.
3 in.
V= (3)3
= 36
~ 113.10 in.3
Answers
Answer:
l think he used three which is the diameter as the radius instead of dividing it by two................
Ben is monitoring a colony of bacteria. Initially, the colony consists of 159 bacteria. The following function represents the number of bacteria in the colony after x hours.
Which expression approximately represents the number of hours, x, it takes for the number of bacteria in the colony to reach 168?
Answers
Answer:
No solution is possible from the information provided
Step-by-step explanation:
you didn't include the function.
a container of water is filled to 1/3 of it. if we add 2.5 liters the container will be half full. find how much is the volume of the container. convert it to cm³
Answers
Answer:
In picture
Step-by-step explanation:
Brainliest please
I need help ASAP!! Please.
Answers
Answer:
x = 8
Step-by-step explanation:
Check out this square pyramid: Find the surface area of the square pyramid (above) using its net (below).
Answers
Answer:
12 square units
Step-by-step explanation:
Given
See attachment for net
Required
The surface area
The net has the following shapes:
1 Square: (Length =2)4 congruent triangles (Base = 2; Height = 2)So, the surface area is:
Area = Area of Square + 4 * Area of 1 Triangle
[tex]Area = 2 * 2 + 4 * \frac{1}{2} * 2 * 2[/tex]
[tex]Area = 4 + 8[/tex]
[tex]Area = 12[/tex]
Write the equation of the line in slope-intercept form
Answers
Answer:
y=-1x-4
hope you have a great day
What is the length of leg s in the right triangle shown?
Answers
Answer:
D. 5
Step-by-step explanation:
Applying,
cos∅ = adjacent/Hypotenuse
From the diagram,
Given: ∅ = 45°, adjacent = s, hyptenuse = 5√2
Therefore,
cos45° = s/5√2
make s the subject of the equation
s = cos45°×5√2
s = (1/√2)(5√2)
s = 5
Hence the right answer is D. 5
Please help me with this one …..
Answers
Answer:
is the clean area the desired one (I assume, yes)?
then y <= 3x + 5
if the dotted area is the desired area, then
y >= 3x + 5
Step-by-step explanation:
the factor of x is the slope of the line expressed as y/x ratio.
clearly, the line shows that for x changing by 1 unit y changes by 3 units. so, the slope is 3/1.
that leaves us only with the 2 middle options.
for "y <=" the desired values of y for a given x must be on the line (equal) or below (smaller than the value of the line equation). that is true, if the desired area is the clear one (no dots).
so, "y >=" is true, if the dotted area is desired.
Which expression is equivalent to the following fraction?
Answers
Given:
The fraction is:
[tex]\dfrac{\dfrac{-2}{x}+\dfrac{5}{y}}{\dfrac{3}{y}-\dfrac{2}{x}}[/tex]
To find:
The expression that is equivalent to the given fraction.
Solution:
We have,
[tex]\dfrac{\dfrac{-2}{x}+\dfrac{5}{y}}{\dfrac{3}{y}-\dfrac{2}{x}}[/tex]
After taking LCM, we get
[tex]\dfrac{\dfrac{-2y+5x}{xy}}{\dfrac{3x-2y}{xy}}[/tex]
[tex]\dfrac{-2y+5x}{3x-2y}[/tex]
Therefore, the correct option is A.
Can someone help me?
Answers
Answer:1565
Step-by-step explanation:
tehret
Please help me ASAP!
Answers
Answer:
B: 153ft2
Step-by-step explanation:
Help please!!!!help help help
Answers
Answer:
ask the goggle not 1 you help in thi aap bro your aand me same thing make sorry
Answer:
{-2,-1, 0, 1, 8}
Step-by-step explanation:
Domain is the input values ie. x values
{-2,-1, 0, 1, 8}
What are the real roots of the function in the graph?
Answers
Answer:
-1 and 3
Step-by-step explanation:
The real roots of a function are located where the function passes through the x-axis. In this case, the function passes through x=-1 and x=3, making them the real roots of the function.
PLEASE HELP ME WITH THIS
Answers
Which inverse of the difference of 1/3 - 1/4?
Answers
Answer:
0/1
Step-by-step explanation:
The Mariana trench, off the coast of Guam in
the Pacific Ocean, is 11 034m deep. Write 11
034 in standard form.
Answers
Answer:
11,000 + 30+4
Step-by-step explanation:
A sphere with a radius of 11 Ft so what is its volume FASTTT PLSSSSS
Answers
Step-by-step explanation:
volume of the sphere=4/3×π×r³
=4/3×3.14×11³
=5572.4533ft³
A system of equations consisting of a circle and a line is graphed. Which statements about the number of possible solutions are correct? Check all that apply.
A circle and a line always intersect, so the system can have an infinite number of solutions.
A circle and a line can intersect at one point, so the system can have one solution.
A circle and a line can intersect at three points, so the system can have three solutions.
A circle and a line can intersect twice, so the system can have two solutions.
A circle and a line do not have to intersect, so the system can have no solution.
Answers
Answer:
the solution is where the two objects intersect ...
1) A line can completely miss the circle (no solutions is possible)
2) a line can "kiss" the circle at one point (one solution)
3) note that a line can not "bend"... it can touch one side of the circle pass
through the center and touch the circle in a second spot (going out) .. two solutions...
those are the three possibility that are in the question that was posted...
three check comments are true
Step-by-step explanation:
This is my last question and then I’m done
Answers
Answer:
C. y = -2/3 x + 4
Step-by-step explanation:
y = mx + b
From the graph we see that b = 4, and m = 2/3.
y = -2/3 x + 4
Un arco de 50 m de longitud subtiende un ángulo central θ en un círculo de 35 m de radio. Encuentre la medida de θ.
Answers
Answer:
θ = 81.89°
Step-by-step explanation:
Si tenemos un círculo de radio R, el perímetro de este círculo estará dado por:
P = 2*pi*R
donde pi = 3.14
Ahora, si en lugar de el círculo completo solo queremos la longitud de un dado arco, definido por un ángulo θ, el largo de ese arco estará dado por:
L = (θ/360°)*2*pi*R
Notar que cuando θ = 360° (es decir, el ángulo del círculo completo) el largo del arco será igual que el perímetro, lo cual deberíamos esperar.
Ahora sabemos que:
El arco tiene 50m de longitud.
El radio del círculo es 35m
queremos encontrar el valor de θ
Reemplazando esos valores en la ecuación de arriba obtenemos:
50m = (θ/360°)*2*3.14*35m
Ahora solo debemos resolver esto para θ
50m = (θ/360°)*219.8m
(50m/219.8m) = (θ/360°)
(50m/219.8m)*360° = θ = 81.89°