Answer:
f(x)^-1(x) =sqrt(x+5) -6
Step-by-step explanation:
f(x) = (x + 6)^2 - 5
y = (x + 6)^2 - 5
Exchange x and y and solve for y
x = (y + 6)^2 - 5
Add 5 to each side
x+5 = (y + 6)^2 - 5+5
x+5 = (y + 6)^2
Take the square root of each side
sqrt(x+5 )= sqrt( (y + 6)^2 )
sqrt(x+5 )=(y + 6)
Subtract 6 from each side
sqrt(x+5 ) -6=y + 6-6
sqrt(x+5) -6 = y
Solve the inequality -10 is greater or equal to -2x
Answer:
-10 and - 2x
The x is unknown number so, we don't know which one if -2x or -10 is greater.
6. Show how to simplify the expression 8x + 3 + 4x - 2 without using algebra tiles. Describe each step of the process.
Answer:
12x+1
Step-by-step explanation:
8x+3+4x-2
8x+4x+3-2
Arranging Like terms
12x+1
Adding Like terms (8x+4x) and Substracting numbers ! ++- = - So we substrate it and in addition we don't change symbols so 3 is greatest number so we write + there !
what is the value of 5 in the number 68.513?
Answer:
00000000.1
Step-by-step explanation:
1+1=2-1%000.1
On a coordinate plane, a curved line with a maximum value of (negative 1, 2) crosses the x-axis at (negative 3, 0) and (1, 0), and crosses the y-axis at (0, 1.5).
What are the x-intercepts of the graphed function?
(–3, 0) and (0, 1.5)
(–3, 0) and (1,0)
(–1, 2) and (1, 0)
(0, 1.5) and (1, 0)
9514 1404 393
Answer:
(–3, 0) and (1,0)
Step-by-step explanation:
The x-intercepts are where the curve crosses the x-axis. Your problem statement tells you ...
"crosses the x-axis at (negative 3, 0) and (1, 0)"
This means the x-intercepts are (-3, 0) and (1, 0).
Answer:
The answer would be B= (–3, 0) and (1,0)
Question 2.
If 0 is an angle in the first quadrant, and cos(θ) = 0.669, determine the value of
cos(π - θ), cos(π + θ), and cos(4π - θ) using Symmetry.
Answer:
1) -0.669
2) -0.669
3) 0.669
Step-by-step explanation:
Since we are subtracting or adding multipled of pi, we will either obtain 0.669 or -0.669 as our answer for each of the three different questions.
Cosine is the x-coordinate in our orderes pairs. If our point ends up on the right side of the y-axis, the cosine will be positive. If our point ends up on left side, it will be negative.
Choose a thetha (I'm going to choose it in degrees) in the first quadrant to help with a visual.
If theta=70:
1) then 180-70=110 which is in second quadrant, so our cosines will be opposite in value.
2) then 180+70=250 which is in third quadrant, so our cosines will be opposite in value.
3) then 4×180-70=720-70=650 =1(360)+290 which ends up in the 4th quadrant which means the consines will have the same value.
What is the value of x and the length of segment DE?
StartFraction 5 Over 9 EndFraction = StartFraction 9 Over 2 x + 3 EndFraction
10x + 15 = 9(9)
x = _____
Length of = ___units
Answer:
Step-by-step explanation:
This is a geometric means problem involving the height of 9. 9 is the geometric mean because it is the height of both ΔCFD and ΔEFD. Set up the problem accordingly:
[tex]\frac{5}{9}=\frac{9}{2x+3}[/tex] and cross multiply:
81 = 5(2x + 3) and
81 = 10x + 15 and
66 = 10x so
x = 6.6
Now we will plug that value in for x to find the length of DE:
2(6.6) + 3 = 16.2 units
write y=4x+3 in mapping notation
Answer:
y=7x
Step-by-step explanation:
because y= 4x+3=7x
what are the slope and the y-intercept of the linear function that is represented by the table?
4. Three friends are collecting football cards. They have 240 cards between them. Zukile has 60 more cards than Adam, and Siya has twice as many cards as Adam. If Adam has x number of cards, write and solve an equation to find how many cards they each have.
Answer:
Zukile has 105, Adam has 45, Siya has 90
Step-by-step explanation:
Not sure how right this is, but I did: 240=2x+x+(60+x)
Simplify to: 240=60+4x
Simplify to: 180=4x
Simplify to: 45=x
identify each of the following as rational or irrational.
Answer:
Step-by-step explanation:
A rational number can be written as a fraction of two integers.
√23 is irrational because we do not know what the square root of 23 is in terms of integers in a fraction.
104.42 is rational because it can be expressed as 10442/100 . We can express it as this because
104.42 * 1 = 104.42 * 100/100 = 10442/100, and multiplying something by 1 keeps it the same
√64 is rational because it is equal to 8, and 8/1 is equal to 8
49.396 with the 6 repeating is rational because we can express 49.39 as
49.39 * 1 = 49.39 * 100/100 = 4939/100, and we are then left with
49.396- 49.39 = 0.006 (with the 6 repeating). A repeating decimal can be expressed as x/9, with the x representing all values before the repetition begins multiplied by 10.
For example, 0.6 with the 6 repeating can be represented as 6/9. This is because 0.6 * 10 = 6, and we divide that by 9. Similarly, 0.006 with the 6 repeating can be represented by 0.06/9
We add the two fractions together to get
4939/100 + 0.06/9
multiply both fractions by the other's denominator to even them out and make the numerator of the second fraction an integer
(4939*9)/(100*9) + (0.06*100)/(9*100)
= 44451/900 + 6/900
= 44460/900
Assuming that the last number has only the digits given, that is rational because, similarly to 104.42, it can be multiplied by a power of 10 to result in (integer)/(integer), making it rational. If the dots represent infinite digits, then it is not rational because there are infinite digits that are not repeating, and there is no way to know the last digit, so it is impossible to write a fraction from it
Carlos compro cierta cantidad de panes puso 1/4 de esa cantidad sorbre su bandeja y dejo el resto de panes en la bolsa ¿Cuantos panes dejo Carlos en la bolsa?
Answer:
The quantity of loaves left in the bag is 3/4.
Step-by-step explanation:
Carlos bought a certain amount of loaves, put 1/4 of that amount on his tray and left the rest of the loaves in the bag. How many loaves did Carlos leave in the bag?
Quantity of loaves in tray is 1/4
So, the quantity of loaves in the bag is
[tex]1-\frac{1}{4}=\frac{3}{4}[/tex]
Year 10 girls = 70, year 10 boys = 140, what fraction of year 10 are boys?
Answer:
2/3
Step-by-step explanation:
140/(140+70)
=140/210
simplified
=2/3
I don't think that there is enough info for this problem, but could someone try to help?
Answer:
12
Step-by-step explanation:
Rectangle : Let length = b & width = a
PQ = QR = 6
LR = QR - PL = 6 - a
ΔPQR ~ ΔMLR
In similar triangles, corresponding sides are in same ratio.
[tex]\frac{PQ}{QR}=\frac{ML}{LR}\\\\\frac{6}{6}=\frac{a}{6-b}[/tex]
[tex]1 =\frac{a}{6-b}[/tex]
6 - b = a
6 = a + b
a +b = 6
Perimeter of rectangle = 2*(length +width}
= 2*(a+ b)
= 2 * 6
= 12
Part C
Now try this one. Write a description of the partitioned function using known function types, including transformations.
Answer:
Please find the complete question in the attached file.
Step-by-step explanation:
All three functions are defined as follows:
For function 1:
The module on the absolute value function instance example also is known as this function:
[tex]f(x)=|x| \ \left \{ {{x, \ \ x>0} \atop {-x \ \ <0}} \right.[/tex]
This is [tex]f(x)= x, \ \ x<0[/tex] in the following diagram.
For function 2:
It is an algebraic function of in this function
It also is a quadratic polynomial functional with a [tex]y=x^2, \ \ x>0[/tex] value.
For function 3:
The cubic polynomial equation is evaluated for in this function
The value of the graph is:
[tex]y=-x^3 \ \ \ \ and\\\\\to y= f(x)\\\\\to y= -f(x)\\\\[/tex]
a.) What is the measurement of the missing side (c)?
b.) What is the angle of (x)?
Which theorem is used?
Answer:
E
Step-by-step explanation:
I believe it should be E because it uses parallel lines
Helllllppppp please????
Answer:
7.75
Step-by-step explanation:
(I'm assuming you need to find the missing side of the triangle)
To find missing values in a right angle. we will use the pythagoras theorem which states that:
h^2 = a^2 + b^2
16^2 = 14^2 + b^2
256 = 196 + b^2
256 - 196 = b^2
60 = b^2 (take sqaure root)
b= 7.75
Answer from Gauthmath
x^2-1/4y^2, if x=9, and y=2
Evaluate 6 + 3b if b = 7
Step-by-step explanation:
6+3b=6+3(7)=6+21=27
Very easy
<(￣︶￣)><(￣︶￣)><(￣︶￣)><(￣︶￣)>
Which of the following is the solution to 9|x +4|>54 ?
O A. x2-10 or x 2 2
O B. xs-10 and x 2
C. x2
O D. X<-10 or x >2
Answer:
x>2 or x<-10
Step-by-step explanation:
9|x +4|>54
Divide each side by 9
9/9|x +4|>54/9
|x +4|>6
There are two solutions, one positive and one negative
x+4 >6 or x+4 < -6
Subtract 4 from each side
x+4-4 >6-4 or x+4-4 < -6-4
x>2 or x<-10
The graph shows a line and two similar triangles.
On a coordinate plane, a line goes through (0, 0) and (6, 4). A small triangle has a rise of 2 and run of 3. A larger triangle has a rise of 4 and run of 6.
Which expression finds the equation of the line?
StartFraction y Over x EndFraction = three-halves
StartFraction y Over x EndFraction = two-thirds
StartFraction y Over 2 EndFraction = StartFraction 3 Over x EndFraction
StartFraction y Over 3 EndFraction = StartFraction x Over 2 EndFraction
Answer: Choice B) [tex]\frac{y}{x} = \frac{2}{3}[/tex]
This is the same as saying y/x = 2/3
Or I suppose you could say "y over x = two-thirds".
===============================================
Explanation:
Recall that slope is rise over run
slope = rise/run
The rise being the change in y, while the run is the change in x.
So we could informally think of it as slope = y/x
-----------
Since we're told that it "has a rise of 2 and run of 3", this means slope = 2/3.
The slope is both y/x and also 2/3.
Equating the two expressions leads us to y/x = 2/3. This is why choice B is the final answer.
-----------
Side notes:
This trick only works when the line goes through the origin (0,0)To rephrase the last bullet point, the line must have y intercept 0.If you multiplied both sides by x, then you get y = (2/3)xAnswer:
B
Step-by-step explanation:
(-_-)
The distance traveled (in meters) by a frog is modeled by the equation d=0.2t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 25 minutes
Answer:
5 meters traveled in distance.
Step-by-step explanation:
Since we are finding the distance of a frog traveling ? distance in 25 mins, we can substitute t for 25. If we do, 0.2 x 25 = 5, d = 5.
Hope this helps!
The dimensions of a conical funnel are shown below: A conical funnel is shown with the height of the cone as 8 inches and the radius of the base as 3 inches. Nisha closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 15 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? (Use π = 3.14.) 3.34 minutes 5.02 minutes 13.39 minutes 15.07 minutes
Answer:
B
Step-by-step explanation:
r=3 in
h=8 in
Volume of funnel
[tex]V=\frac{1}{3}\pi r^2h\\=\frac{1}{3} \times 3.14 \times 3^2 \times 8\\=75.36 in.^3\\time ~taken~to~drip out=\frac{75.36}{15}\\\approx 5.02~minutes.[/tex]
Answer:
5.02 is right
Step-by-step explanation:
i hope this helps
WILL GIVE BRANLIEST AND BE SOOO HAPPY PLEASE HELP!!! 30 POINTS SHARE YOUR SMARTNESS!!
Step-by-step explanation:
For the 1st picture,
The 2nd option is the answer.
Let say we have
[tex] a_{3}[/tex]
Replace it into the recursive formula.
[tex] a_{3} = a_{3 - 2} + (a) _{3 - 1}[/tex]
We are given a,1 and a,2 so the 3rd terms has to be
[tex]2[/tex]
So the second option is the answer.
For the second picture, a geometric sequence is a group of terms that has the same ratio between each consecutively.
Infinite means going on forever
The fourth option is the answer.
Answer:
1,1,2,3,5
part #2 none are exactly correct... the terms go on forever, so 1 &2 are out...
the "difference" is definitely not the same, so three is out..
4 is the closest, but the ratio is not the same, there is a trend in the ratio..
this is the Fibonacci sequence, and the ratio trends toward the "golden ratio" ( φ -phi) but never is exactly φ because φ is irrational
Step-by-step explanation:
Help!!
I think I got these wrong, so please help!! Thank you!
Answer:
(x+3)(x+4)(x-4)
x+2 and x-3 are not factors but x-4 is
Step-by-step explanation:
let's factor it :)
x^3 + 3x^2 - 16x -48
first we will factor this:
x^3 + 3x^2
x^2(x + 3)
then factor the second part :
- 16x - 48
-16(x + 3)
so now,
x^2(x + 3) - 16(x + 3)
factor out x+3
(x+3)(x^2 - 16)
factor x^2 - 16
(x+3)(x+4)(x-4)
Find the value of each variable.
Step-by-step explanation:
180 - 37 = x angles on a straight line
x = 40
180 - 40 = y angles on a straight line
y = 140
180 - 140 = z angles om a straight line
z = 40
Estimate the product of 32 and 19 ?
Answer:
608
Step-by-step explanation:
32 x 19
= 32 x ( 10 + 9 )
= 320 + 288
= 608
The vertices of the polygon are A (3,5), B (6,5), C (6, 9), and D (3,9). Find the distance between the vertices B and C.
Answer:
4
Step-by-step explanation:
B = (6,5) C = (6,9)
√(x2 - x1)² + (y2 - y1)²
√(6 - 6)² + (9 - 5)²
√(0)² + (4)²
√16
= 4
Simplify 3x+2x
BRAINLIEST
Answer:
5x
Step-by-step explanation:
3x+2x
Combine like terms
x(3+2)
x(5)
5x
Answer:
5x
Step-by-step explanation:
3x + 2x
Step 1 :- Calculate like terms by adding their coefficient.
( 2 + 3 ) xStep 2 :- Combine like terms.
( 5 ) xStep 3 :- Multiply ; 5 times x.
5xquickly answer i am in a rush!
Answer:
-4/5
Step-by-step explanation:
sin theta = opp/ hyp
sin theta = -3 /5
Using the Pythagorean theorem
opp ^2 + adj ^2 = hyp ^2
(-3) ^2 + adj ^2 = 5^2
9+ adj ^2 = 25
adj ^2 = 25 - 9
adj ^2 = 16
Taking the square root of each side
adj = ±4
Since we are in the 3rd quadrant sin and cos are both negative so adj must be negative
adj = -4
cos theta = adj / hyp
cos theta = -4/5
