Answers
Answer:
it should be C
Step-by-step explanation:
hope this is helpful
Related Questions
The age of father is 30 yeays more than that
of hs Son. Aller 5 years.Fother's age will be thrice of his
Find thiey present age
Answers
Step-by-step explanation:
check the attached file
Please help me! Bots keeps answering my questions and I really need an answer
Answers
Answer:
D) the bridge is about 381.16 ft. above the river, and the length of the bridge above the arch is 1,792.58 ft
1.8 0.087 − 0.947 + 2.2 0.044
Answers
Answer:
2
Step-by-step explanation:
im smart
Please answer quickly
Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses.
f(x)=x+a/b
g(x)=cx-d
Part 2. Show your work to prove that the inverse of f(x) is g(x).
Part 3. Show your work to evaluate g(f(x)). Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include five values for each function. Graph the line y=x on the same graph.
Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include five values for each function. Graph the line y=x on the same graph.
Task 2
Part 1. Create two radical equations: one that has an extraneous solution, and one that does not have an extraneous solution. Use the equation
a√x+b+c=d
Part 2. Use a constant in place of each variable a, b, c, and d. You can use positive and negative constants in your equation. Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneous.
Part 3. Explain why the first equation has an extraneous solution and the second does not.
Answers
f(x)=(x+a)/b
or bf(x)=x+a
let f(x)=y
by=x+a
flip x and y
bx=y+a
or y=bx-a
or f^{-1}(x)=bx-a
also g(x) is inverse of f(x)
bx-a=cx-d
so b=c,a=d
again let g(x)=y
y=cx-d
flip x and y
x=cy-d
cy=x+d
y=(x+d)/c
or g^{-1}(x)=(x+d)/c
also f(x) is inverse of g(x)
so (x+a)/b=(x+d)/c
so a=d,b=c
so in either case a=d,b=c
take b=c=1
a=d=2
f(x)=(x+2)/1=x+2
g(x)=1x-2=x-2
so f(x) and g(x) are two parallel lines f(x) with y- intercept=1 and slope 0
g(x) with y-intercept -2 and slope 0
if we take b=c=2,a=d=3
f(x)=(x+3)/2=x/2+3/2
g(x)=2x-3
here f(x) is of slope 1/2 and y-intercept 3/2
g(x) is of slope 2 and y intercept -3
part 3.
f(f(x))=g((x+a)/b)=c[(x+a)/b]-d=(c/b)(x+a)-d
An inverse function or an anti function exists described as a function, which can change into another function. In other words, if any function “f” carries x to y then, the inverse of “f” will carry y to x.
Part 1: f(x) = (x+2) / 3 and g(x) = 3y-2.
Part 2: g(x) = 3x - 2, the inverse.
Part 3: g(f(x)) = x showing that f(x) and g(x) are mutual inverses.
What is inverse function?
An inverse function in mathematics exists function which "reverses" the another function.
TASK 1
Part 1
Let y = f(x) = (x + a) / b
x = g(y) = by-a = cy-d,
so c = b and d = a.
Let d = a = 2 and c = b = 3
f(x) = (x+2) / 3 and g(x) = 3y-2.
Part 2
y = f(x) = (x+2) / 3
3y = x+2
x = 3y-2 = g(y)
so g(x) = 3x - 2, the inverse.
Part 3
g(f(x)) = 3
f(x)-2 = 3(x+2)/3-2 = x+2-2 = x,
so g(f(x)) = x showing that f(x) and g(x) exists mutual inverses.
x -2 -1 0 1 2
f(x) 0 1/3 2/3 1 4/3
g(x) -8 -5 -2 1 4
Part 4
The graph is given below.
TASK 2
Part 1
(a) Let a=1, b=2, c=3, d=6: [tex]$\sqrt{x}[/tex]+2+3=6 ; [tex]\sqrt{x}[/tex]-6=-5
(b) Let a=-1, b=2, c=3, d=4
(a) Multiply both sides by
[tex]$\sqrt{x}+6: x-36=-5(\sqrt{x}+6)=-5 \sqrt{x}-30[/tex]
[tex]$ x-36+30=-5 \sqrt{x }[/tex]
[tex]$ x-6=-5 \sqrt{x}$[/tex]
Square both sides:
[tex]$x^{2} -12 x+36=25 x ; x^{2} -37 x+36=0=(x-36)(x-1)$[/tex].
Part 2
(a) So x=36 or 1 (apparently).
Substitute x=36 in the original equation: 6+2+3=6, 11=6 is not true.
So x=36 is an extraneous solution.
substitute x=1: 1+2+3=6 is true, so x=1 exists the actual solution.
(b) [tex]$-\sqrt{x}+2+3=4 ;-\sqrt{x}=-1$[/tex]; multiply both sides by -1: [tex]$\sqrt{x}=1$[/tex]; square both sides: x=1.
Substitute x=1 in the original equation: -1+2+3=4 is true.
So x = 1 is the solution.
Part 3
(a) the act of squaring both sides resulted in creating an extraneous solution [tex]$\left((-5)^{2} =25=5^{2} \right)$[/tex].
(b) the solution was simpler and there was no ambiguity.
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find the value of x.
Answers
Answer:
for which one all ?
Step-by-step explanation:
because if so lemme know
NEED ASAP ! WORTH 20 POINTS
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answers
Answer:
-1
Step-by-step explanation:
Using the formula to find gradient or slope:
m = (y2 - y1)/ (x2 - x1)
Using any two points from the graph: (-2, 0) (0, -2)
Substitute this into the equation to get the answer of -1.
HELPPPPP!!As soon as possible
Answers
Answer:
answer is D :
√24 = 4.89
which is the nearest to 5 and possible answer
- 3< t <2
t is an integer.
Write down all the possible values of t.
Answers
Answer:
-2, -1, 0, 1
Step-by-step explanation:
-2
-1
0
1
All the possible values of t in the inequality - 3 < t < 2 is,
t = - 2, - 1, 0, 1
Used the concept of inequality that states,
A relation by which we can compare two or more mathematical expressions is called an inequality.
Given that;
The inequality is,
- 3 < t < 2
Here the given inequality means all the values of t are lies between - 3 and 2.
That is,
t = - 2, - 1, 0, 1
Therefore, the value of t are t = - 2, - 1, 0, 1
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Write an equation in slope-intercept form of the line shown. (-6, 4) (-2, 2)
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plzzz help?????????????????????
Answers
Answer:
Step-by-step explanation:
Pythagorean theorem: base ² +altitude² = hypotenuse²
1) hypotenuse² = base² + altitude²
x² = 6² + 3²
= 36 + 9
= 45
x = √45
x = 6.7 cm
4) base ² +altitude² = hypotenuse²
x ² + 3.7 ² = 4.2 ²
x ² + 13.69 = 17.64
x ² = 17.64 - 13.69 = 3.95
x = √3.95
x = 1.99 cm
10)c ² = a ² + b ²
= 3 ² +4 ²
= 9 + 16
c ² = 25
c = √25 = 5
11) a ² + b ² = c ²
9 ² +b² = 13 ²
81 + b² = 169
b² = 169 - 81 = 88
b = 9.38
12) a² + b² = c²
12² + b² = 22²
144 + b² = 484
b² = 484 - 144 = 340
b =√340 = 18.44
Teacher Kaye is saving ₱2,000 every month by depositing it in a bank that gives an interest of 1% compounded quarterly. How much will she save in 5 years?
Answers
Answer:
1,23,098
Step-by-step explanation:
............
Kate had 50 thousands-blocks in her package of base-ten blocks. How many ten thousands-blocks does that equal?
5
50
500
5000
Answers
Step-by-step explanation:
50000÷10
=5000
MARK ME BRAINLIESTFind HGI, FGH and FGI I’ll mark the brainiest
Answers
Answer:
∠FGH = ∠HGI = 29°
∠FGI = 58°
Step-by-step explanation:
GH is marked as an angle bisector, so we have ...
∠FGH = ∠HGI
2x -9 = 3x -28
19 = x . . . . . . . . . . . . add 28-2x to both sides
Of course, the angle FGH is the sum of its parts. Then the angle measures are ...
(2x -9)° = (2·19 -9)° = 29°
∠FGH = ∠HGI = 29°
∠FGI = 58°
Planes S and R both intersect plane T .
Horizontal plane T intersects vertical planes S and R. Planes T and S intersect at line x. Planes T and R intersect and line y. Horizontal line v intersects line x at point B and line y at point A. Line z intersects the lower half of plane S at point C. Point D is on line z but not on a plane.
Which statements are true based on the diagram? Select three options.
Plane S contains points B and E.
The line containing points A and B lies entirely in plane T.
Line v intersects lines x and y at the same point.
Line z intersects plane S at point C.
Planes R and T intersect at line y
Answers
Answer:
B,D,E
Step-by-step explanation:
For 30 minutes you do a combination of walking and jogging. At the end of your workout your pedometer displays a total of 2.5 miles. You know that you walk .05 miles per minute and jog .1 miles per minute. For how much time were you walking
Answers
On Tuesday, a restaurant serves iced tea to 24 of its 160 customers. What percent of the customers order iced tea
Answers
Answer:
15%
Step-by-step explanation:
24/160 = 0.15
0.15*100 = 15
find the lcm of 3, 6 and 8
Answers
Answer:
24
Step-by-step explanation:
3x8=24
6x4=24
8x3=24
:) !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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:)!!!!!!!!!!!!!!!!!!!
:)
<3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3
what is greater: 19/5, 27/5, 10/3, 14/5
Answers
Answer:
I think the greater fraction is 27/5
Answer:
27/5Step-by-step explanation:
what is greater: 19/5, 27/5, 10/3, 14/5
fractions are divisions, we divide to see the greater
19/5= 3.8
27/5= 5.4
10/3= 3.33
14/5= 2.8
Enter the value of x that makes the equation 3x + 4 + 2x + 2 = -24
answer? and how would I answer this.
Answers
Answer:
x = -6
Step-by-step explanation:
Combine like terms.
5x + 6 = -24
Subtract 6 from both sides.
5x = -30
Divide by 5 on both sides.
x = -6
Follow Me:-
[tex]3x + 4 + 2x + 2 = - 24 \\ \\ = > 5x + 6 = - 24 \\ \\ = > 5x = - 24 - 6 \\ \\ = > 5x = - 30 \\ \\ = > x = \cancel \frac{ - 30}{5} \\ \\ = > x = - 6[/tex]
Hope This Helpsthe percentages of people at different ages in the life span are more similar, creating what is called the
Answers
Answer:
it is called rectangularization
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answers
Answer:
3z+13
Step-by-step explanation:
Perimeter is found by adding all the sides
z+2+z+2+z+9
3 z variables 2+2+9=13
Simplified equals
3z+13
Hope this helps!
Please mark this answer as brainiest :)
Find the distance between the points
a. 4
b. 5
c. 6
d. 7
Answers
Answer:
b. 5
Step-by-step explanation:
You can use the points to draw a triangle with a length of 3 and a height of 4
We can now use Pythagoras theory: a squared + b squared = c squared:
3 squared + 4 squared = 9 + 16 which is 25. The square root of 25 is 5.
Hope this helps!
3) Postcards: Marcie wants to make a box to hold her postcard collection from a piece of
cardboard that is 10 inches by 18 inches. The box will be formed by making cuts as shown in
the diagram and folding up the sides.
a) Write a function that models the volume of the box.
b) What are the dimensions of the box with the maximum volume? Round to the nearest tenth.
el
at
c) What is the maximum volume of the box?
Answers
The volume of the box is the amount of space in it.
The dimension of the postcard is:
[tex]\mathbf{Length = 10}[/tex]
[tex]\mathbf{Width = 18}[/tex]
Let x represents the length of the cut.
So, the dimension of the box is:
[tex]\mathbf{Length = 10 -2x}[/tex]
[tex]\mathbf{Width = 18 -2x}[/tex]
[tex]\mathbf{Height = x}[/tex]
(a) The function that represents the volume of the box
This is calculated as:
[tex]\mathbf{V(x) = Length \times Width \times Height}[/tex]
So, we have:
[tex]\mathbf{V(x) = (10 - 2x) \times (18 - 2x) \times x}[/tex]
Expand
[tex]\mathbf{V(x) = 180x - 56x^2 + 4x^3}[/tex]
Hence, the volume function is: [tex]\mathbf{V(x) = 180x - 56x^2 + 4x^3}[/tex]
(b) The dimension that maximizes the volume
We have:
[tex]\mathbf{V(x) = 180x - 56x^2 + 4x^3}[/tex]
Differentiate
[tex]\mathbf{V'(x) = 180- 112x + 12x^2}[/tex]
Set to 0
[tex]\mathbf{180- 112x + 12x^2 = 0}[/tex]
Using a calculator, we have:
[tex]\mathbf{x = 7.3,2.1}[/tex]
The value x = 7.3 is greater than the dimension of the box.
So, we have:
[tex]\mathbf{x = 2.1}[/tex]
Recall that:
[tex]\mathbf{Length = 10 -2x}[/tex]
[tex]\mathbf{Width = 18 -2x}[/tex]
[tex]\mathbf{Height = x}[/tex]
So, we have:
[tex]\mathbf{Length = 10 -2 \times 2.1 = 5.8}[/tex]
[tex]\mathbf{Width = 18 -2 \times 2.1 = 13.8}[/tex]
[tex]\mathbf{Height = 2.1}[/tex]
Hence, the dimension that maximizes the volume is 5.8 by 13.8 by 2.1
(c) The maximum volume
This is calculated as the product of the dimension of the box
So, we have:
[tex]\mathbf{Volume = 5.8 \times 13.8 \times 2.1}[/tex]
[tex]\mathbf{Volume = 168.1}[/tex]
Hence, the maximum volume of the box is 168.1 cubic inches
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The quotient of a number x and 4 is at most 5.
Answers
Answer:
x ÷ 4 ≤ 5
Step-by-step explanation:
The average rate of change of g(x) between x = 4 and x = 7 is Five-sixths. Which statement must be true?.
Answers
If you multplied 5x10, would you get the same answer as 5x5x5? Explain your reasoning. DO NOT G O O G L E THE ANSWER!!!!!!
Answers
No because for 5x10, you just add 10 5 times for 50. For 5x5x5, you multiply 5x5 and get 25 then multiply it again with the other 5 and get 125.
Answer:
No
Step-by-step explanation:
No, because 5 × 5 × 5 = 25 × 5 and that does not equal 10×5.
A survey was given to people who own a certain type of car. What percent of the people surveyed were completely satisfied with the car?
Answers
Answer:
60% if this is an edge question
Please help me! Im making the first correct answer brainliest!
Answers
Answer:
You didn't ask a question.
Step-by-step explanation:
Is that the right answer