Answer:
The parent function is: y = x
First, here we have two types of transformations, and we could define them in a general way as:
if we start with a function f(x)
Vertical dilation/contraction: A vertical dilation/contraction of scale factor A (A is always positive) is written as:
g(x) = A*f(x)
Vertical translation:
We can write a vertical translation of A units upwards as:
g(x) = f(x) + A
And a vertical translations of A units down can be written as:
g(x) = f(x) - A.
In this case, the transformations are:
first, a dilation of scale factor 8.
Then a translation down of 21 units
then another translation down of 7 units.
y = 8*X - 21 - 7
y = 8*x - 28.
As this is a linear equation, there are no axis of symmetry, we only could have a line of symmetry along the same line y = 8*x - 28
Again, as this function is a linear equation there is no vertex.
(12x³+x²)-(18x³-3²+6)
Which fraction has a value that’s equal to7/8? A.49/64
B.56/8. D.15/8
C.22/24
Answer:
a 49/64
Step-by-step explanation:
7/8 multiply 7 ×7 = 49 then 8×8 is 64 so yeah a
Help please I’ll give you brainlyst
CORRECT ANSWER GETS BRAINLIEST
What percentage of the block is shaded in?
Answer:
7/10ths
Step-by-step explanation:
There are ten blocks all together, which is where the 10 comes from, there is 7 shaded that is where the 7 comes from.
Answer:
The percentage is 70%.
Step-by-step explanation:
There are 10 spaces total, and 7 are shaded in. 7 divided by 10 is 0.7.
0.7 as a percentage is 70%.
So 70% of the block is shaded in.
f(x) = 2x² + x – 4
Find f(-10)
NEED IT FAST
Answer:
[tex]f(-10)=186[/tex]
Step-by-step explanation:
We can use substitution to find the value of [tex]f(-10)[/tex].
[tex]f(x) = 2x^2+x-4[/tex]
[tex]f(-10) = 2(-10)^2-10-4[/tex]
[tex]=200-10-4[/tex]
[tex]=186[/tex]
∴ [tex]f(-10) =186[/tex]
Hope this helps :)
Answer:
The value of f(-10) is equal to 186.
Step-by-step explanation:
We are given the function:
[tex]f(x) = 2x^2 + x - 4[/tex]
We are told to find the value of:
[tex]f(-10)[/tex]
If we pay close attention, we can see a transition between:
[tex]f(x) \rightarrow f(-10)[/tex]
We have turned x into -10, making x = -10.
Therefore, we can change the value of x in the entire function to -10.
[tex]f(-10)=2(-10)^2+(-10) - 4\\\\f(-10) = 200 - 10 - 4\\\\f(-10) = 186[/tex]
Therefore, f(-10) = 186.
Samia y su hija fueron a una obra de teatro musical, ella pago $90 por su boleto y $45 por el de su hija. Ese dia el cajerovendio 100 boletos y cuenta con $8190, pero necesita saber cuantos adultos y menores de edad entraron al evento?
Answer:
Al evento entraron 82 adultos y 18 menores de edad.
Step-by-step explanation:
De acuerdo a la información proporcionada, puedes plantear las siguientes ecuaciones:
x+y=100 (1)
90x+45y=8190 (2), donde:
x es el número de adultos
y es el número de menores de edad
Puedes despejar x en (1):
x=100-y (3)
Después, puedes reemplazar (3) en (2):
90(100-y)+45y=8190
9000-90y+45y=8190
9000-8190=90y-45y
810=45y
y=810/45
y=18
Ahora, puedes reemplazar el valor de y en (3) para encontrar x:
x=100-y
x=100-18
x=82
De acuerdo a esto, la respuesta es que al evento entraron 82 adultos y 18 menores de edad.
Calculate the frequency of light that has a wavelength of
4.25 x 10^-9m and a velocity of 300 m/s.
Answer:
The velocity of light, v, is the product of its wavelength, λ , and its frequency, f. This means that the wavelength is the velocity, v, divided by the frequency, f.
Wavelength of light = velocity of light / frequency of light
λ = v/f
λ = Wavelength of light, meters
v = Velocity of light (c = 3.0 x 108 m, for speed of light if not otherwise defined)
f = frequency of light, Hz
Step-by-step explanation:
Answer these two and I'll make as brainest.
Answer:
25x + 5 equals 130, x=5, (2) x= 6 10x=60 degrees
Step-by-step explanation:
Write the equation in slope- intercept form
4x+2y=12
Thanks!
What is the slope of the line
Answer:
-3/1 or -3
Step-by-step explanation:
you have to go down three from where the line crosses at a point then move over one to get to the next crossing point and that's the answer
Answer:
-3/1
Step-by-step explanation:
i think thats the answer
The function y - 3 = 4(x + 2) is in point-slope form. Select the equivalent equation in slope-intercept form
y = 112 +4
y = 4.3 +11
y = 4x + 5
y = 4x + 8
is this right or wrong?
Answer: Yes, your correct because the square root of 61 is 7.8, and that's inbetween 7 and 8
I hope this helps, and Happy Holidays! :)
Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse functions
Answer:
[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]
[tex]a(a'(d)) = a'(a(d)) = d[/tex]
Step-by-step explanation:
Given
[tex]a(d) = 5d - 3[/tex]
Solving (a): Write as inverse function
[tex]a(d) = 5d - 3[/tex]
Represent a(d) as y
[tex]y = 5d - 3[/tex]
Swap positions of d and y
[tex]d = 5y - 3[/tex]
Make y the subject
[tex]5y = d + 3[/tex]
[tex]y = \frac{d}{5} + \frac{3}{5}[/tex]
Replace y with a'(d)
[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]
Prove that a(d) and a'(d) are inverse functions
[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex] and [tex]a(d) = 5d - 3[/tex]
To do this, we prove that:
[tex]a(a'(d)) = a'(a(d)) = d[/tex]
Solving for [tex]a(a'(d))[/tex]
[tex]a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})[/tex]
Substitute [tex]\frac{d}{5} + \frac{3}{5}[/tex] for d in [tex]a(d) = 5d - 3[/tex]
[tex]a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3[/tex]
[tex]a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3[/tex]
[tex]a(a'(d)) = d + 3 - 3[/tex]
[tex]a(a'(d)) = d[/tex]
Solving for: [tex]a'(a(d))[/tex]
[tex]a'(a(d)) = a'(5d - 3)[/tex]
Substitute 5d - 3 for d in [tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]
[tex]a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}[/tex]
Add fractions
[tex]a'(a(d)) = \frac{5d - 3+3}{5}[/tex]
[tex]a'(a(d)) = \frac{5d}{5}[/tex]
[tex]a'(a(d)) = d[/tex]
Hence:
[tex]a(a'(d)) = a'(a(d)) = d[/tex]
Find the value of x*
Answer:
8502
Step-by-step explanation:
45930+34729+835029=347230
PLEASE PLEASE PLEASE HELP ASAP
solve using the elimination process and SHOW ALL STEPS
5x+4y=2
3x+3y=-3
IM LITERALLY BEGGING FORN HELP RN
Answer:
x = 6, y = -7 or (6, -7)Step-by-step explanation:
Given system of equations
5x+4y=2 3x+3y=-3Solving as follows:
Simplify the second equation by dividing all terms by 3
3x+3y=-3 divide by 3⇒ x + y = -1Now, considering the coefficient of x of 5 in the first equation, we will multiply the simplified second equation by 5 and subtract from the first equation:
x + y = -1 multiply by 5⇒5x + 5y = -5Subtract it from 5x + 4y = 2
5x + 4y - 5x - 5y = 2 - (-5)-y = 7y = -7Finding x using simplified second equation:
x + (-7) = -1x = - 1 + 7x = 6Answer is (6, -7)
find the missing number in the proportion. 2/3 = x/15
Jorge's family arrived home at 8:00 at night after traveling in the car for 5 hours and 15 minutes. What time did Jorge's family leave?
Answer:
2:45 P.M
Step-by-step explanation:
Answer:
3:45
Step-by-step explanation:
8:00-5 hours and 15 min=3:45
A bus makes a stop at 2:30, letting off 11 people and letting on 5. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
Answer:
Answer down below Branliest Please
Step-by-step explanation:
Can I get some help? I will be giving brainliest!
Find the slope of each piece of the antler on the graph below. Write answers in the simplest form into the table.
Answer:
1.) slope = 2
2.) slope = [tex]-2\frac{2}{3}[/tex]
3.) slope = [tex]\frac{2}{3}[/tex]
4.) slope = [tex]\frac{1}{4}[/tex]
5.) slope = [tex]1\frac{8}{9}[/tex]
6.) slope = -2
7.) slope = -3
Step-by-step explanation:
In order to find the slope we have to divide they "y" value (the number of units by which the piece of antler goes up) by the "x" value the number of units by which the piece of antler goes to the side). Notice the if the antler moves to the left as it foes up then the "x" value is negative.
Now as I said before we know this......
Let "m" be the slope, then....
[tex]m = \frac{y}{x}[/tex]
So now we just have to plug in the y and x values for each antler and we will get the slopes for each one of them.
1.)
[tex]m = \frac{y}{x}[/tex]
[tex]m= \frac{4}{2}[/tex]
[tex]m = 2[/tex]
2.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{4}{-1.5}[/tex]
[tex]m = -2\frac{2}{3}[/tex]
3.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{2}{3}[/tex]
4.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{1}{4}[/tex]
5.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{8.5}{4.5}[/tex]
[tex]m = 1\frac{8}{9}[/tex]
6.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{2}{-1}[/tex]
[tex]m= -2[/tex]
7.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{3}{-1}[/tex]
[tex]m = -3[/tex]
I SERIOUSLY NEED THIS NOW- 100 POINTS
(The unanswered question :D)
Answer:
its b i did this before
Step-by-step explanation:
Answer:
The answer will be C.
Step-by-step explanation:
find the sum of 10x^2-6 and x +6
Answer:
10x2+x
Step-by-step explanation:
Two communications companies offer calling plans. With Company X, it costs to connect and then for each minute. With Company Y, it costs to connect and then for each minute. Write and simplify an expression that represents how much more Company X charges, in cents, for n minutes.
Answer:
That is a hard question
Step-by-step explanation:
v2+4v-21=0 (solve by factoring)
Answer: (v + 7)(v -3)
Step-by-step explanation:
(v +7)(v -3)
v x v = v^2
v x -3 = -3v
7 x v = 7v
7 x -3 = -21
v^2 -3v +7v -21 = v^2 +4v -21 = 0
Answer:
The answer is (v - 3)(v + 7).
Step-by-step explanation:
First, you have to elaborate it :
v² + 4v - 21 = 0
v² - 3v + 7v - 21 = 0
Next, you have to collect like terms :
v(v - 3) + 7(v - 3) = 0
(v - 3)(v + 7) = 0
There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red?
Answer:
2 out of 6
Step-by-step explanation:
if this is wrong try 2 out of 15
Please hurry no clown answers and please do the whole thing
You are a member of your local movie theater’s club. Every time you see a movie at the theater, you earn 2 advantage points. When you earn 100 points, you get a free movie pass. Currently, you have 40 advantage points.
Write an equation to model the number of movies m you have to watch before you earn a free movie pass.
Solve the equation. Show your work.
100=40+2m
100-40=60
2m=60
60 divided by 2=30
30 movies
Answer:
2m+40=100, 30 movies
Step-by-step explanation:
1 movie = 2 points
1 pass= 100 points
curently have 40 points so
100points = 40points +2points *m
solve for m:
2m+40 =100 subtract 40 from both sides
2m = 100-40
2m=60 divide both sides by 2
m=60/2
m=30
1.Find the standard deviation of the data.
2.Explain what the mean and standard deviation tell you about the data you
collected
PLEASE HELP QUICK ILL MARK BRAINLIEST‼️
Answer:
1.33
Step-by-step explanation:
I used a standard deviation calculator
Ill edit once i figure it out
what is 1.117468769rounded two decimal places
What is 1+2+3+4+5+6+7+8+9+10=?
have a great day!! :)
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55
Answer:
55
Step-by-step explanation:
9 + 1 = 10
8 + 2 = 10
7 + 3 = 10
6 + 4 = 10
5 + 10 = 15
10 + 10 + 10 + 10 + 15 = 55
A bookstore costs $96 a day to keep open, and it spends $12 for each book that it sells. If each book sells for $18, what is the break-even point
for this bookstore?
Answer: The break even point is when they have sold 16 books and have made $288
Step-by-step explanation: The costs are modeled in the equation y = 12x + 96. x is the number of books sold.
The earnings are modeled by he equation y = 18x.
Substitute 18x for y and solve for x.
18x = 12x + 96 Subtract 12x from both sides.
6x = 96 Divide both sides by 6
x = 16
Substitute into the original equations to solve for y
y = 12(16) + 96
y = 192 + 96
Y = 288
y = 18(16)
y = 288
Answer:
C = 12n + 90
Step-by-step explanation:
Please HELP!!
Which linear inequality is represented by the graph
Answer:
The answer should be y ≤ 1/3x - 1 I believe