Find the inverse of each of the given functions. f(x) = 4x − 12 f−1(x) = x +
first one is 1/4
second one is 3
Answer:
first box is 1/4
second box is 3
for the next question on the page ( h(x) = (2x-4)/3 ) the answer is C (h^-1(x) = (3x+4)/2 )
Step-by-step explanation:
3√20+2√125 this has to be done in the surds rules although I do not understand
3√20+2√125 = 3√(4×5) + 2√(5×5×5)
=6√5+10√5
=16√5
This is your answer .
Which of the following numbers are greater than -4.5 and less than -0.5?
Lets form a inequality
x is greater than -4.5[tex]\\ \sf\longmapsto x>-4.5[/tex]
x is less than -0.5[tex]\\ \sf\longmapsto x<-0.5[/tex]
Now
[tex]\\ \sf\longmapsto -4.5\lt x\lt -0.5[/tex]
Hence
[tex]\\ \sf\longmapsto x=\left\{-4.4,-4.3\dots -0.7,-0.6\right\}[/tex]
V=1/3πr²(h-1) find h
Answer:
[tex]h=\displaystyle \frac{3V}{\pi r^2}+1[/tex]
Step-by-step explanation:
Hi there!
[tex]V=\displaystyle\frac{1}{3} \pi r^2(h-1)[/tex]
Divide both sides by [tex]\displaystyle\frac{1}{3} \pi r^2[/tex]:
[tex]\displaystyle \frac{V}{\displaystyle\frac{1}{3} \pi r^2}=(h-1)[/tex]
[tex]\displaystyle \frac{3V}{\pi r^2}=h-1[/tex]
Add 1 to both sides:
[tex]\displaystyle \frac{3V}{\pi r^2}+1=h[/tex]
I hope this helps!
6 3/4 yards of fabric per 3 costumes. how many yards do i need for 7 costumes
Finds how much is needed for 1 costume by dividing 6 3/4 by 3
6 3/4 /3 = 2 1/4 yards per costume.
Multiply yards per costume by 7:
2 1/4 x 7 = 15 3/4 yards total needed.
[tex]\\ \rm\hookrightarrow 6\dfrac{3}{4}yards=3costumes[/tex]
1costume[tex]\\ \rm\hookrightarrow \dfrac{27}{4}\div 3[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{27}{4}\times \dfrac{1}{3}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{27}{7}yards[/tex]
7costumes[tex]\\ \rm\hookrightarrow \dfrac{27}{7}\times 7[/tex]
[tex]\\ \rm\hookrightarrow 27yards[/tex]
Depart London at 12:30. A 7 hour and 30 minutes videos and arrives in New York at 15:00. What is the time difference between London and New York
Answer:
Step-by-step explanation:
Well in London The time is like 12 and stops there it don't go to 13:00 like New York does so basically I'm saying London as a regular time and New York has the Military Time!
Evaluate (2-3)(4) - 923
calculate the gradient of the straight line which joins A(2,-3) and B(6,9)
Answer:
Gradient: m = 3
Step-by-step explanation:
m = change in y/change in x
m = [tex]\frac{Y2-Y1}{X2-X1}[/tex]
m = [tex]\frac{9-(-3)}{6-(2)}[/tex]
m = 12/4
m = 3
Tyron made 60 cakes. He gave 20% of his cakes to Ana . And 1/6 of his cakes to Dora. What fraction of the 60 cakes does he have left?
Answer:
19/30
Step-by-step explanation:
Total cakes made by Tyron = 60
Cakes given to Ana = 20% of 60
[tex]=\dfrac{20}{100}*60\\\\= 2*6\\\\= 12 \ cakes[/tex]
Number of cakes given to Dora= [tex]\dfrac{1}{6}*60=10[/tex]
Remaining cakes = 60 - ( 12 +10)
= 60 - 22
= 38 cakes
Fraction of left cakes = [tex]\dfrac{38}{60}=\dfrac{19}{30}[/tex]
Graph the function.
f(x)=-\dfrac{2}{3}(x +1)(x -5)f(x)=−
3
2
(x+1)(x−5)
Answer:
see below
Step-by-step explanation:
f(x) = -2/3 (x+1) (x-5)
First find the zeros
0 = -2/3 (x+1) (x-5)
Using the zero product property
x+1 =0 x-5=0
x= -1 x = 5
Then find the y intercept
y = -2/3 (0+1)(0-5)
- 2/3 (1)(-5)
+10/3
We know that this is a parabola that opens downward
Simplify
y=-2/3(x+1)(x-5)y=-2/3(x(x-5)+x-5)y=-2/3(x²-5x+x-5)y=-2/3(x²-4x-5)Graph attached
a. A man sells an article at Rs. 800 and makes 3 of the selling price profit. Find his (a) cost price (b) profit percentage.
Answer:
A 1600
B 2400 hope it helps
Using a Table to find the Constant of Proportionality
his table represents a proportional relationship. Use the table to identify the constant of proportionality between the
atio of the number of laps to the number of swimmers,
Answer:
k = 12
Step-by-step explanation:
The constant of proportionality k is the ratio
k = [tex]\frac{laps}{swimmers}[/tex]
Use any ordered pair from the table to find k
Using number of laps = 240, number of swimmers = 20 , then
k = [tex]\frac{240}{20}[/tex] = 12
Without simplifying, select all the expressions that will represent a rational number.
A. 4/23+3/√9
B. 4/23−4/√8
C. 4/23×3/√9
D. 4/23÷4/√8
E. 4/23×8/√3
Please help me with this question!!!!
Answer:
A. 4/23+3/√9
C. 4/23×3/√9
[tex].[/tex]
Factorize 2x^2-5/3xy-2y^2
I hope it helps you
Answer:
[tex]y = 0 \: .x = \frac{2}{3} y[/tex]
Step-by-step explanation:
[tex] \frac{2 {x}^{2} - 5 }{3xy - 2 {y}^{2} } [/tex]
[tex]3xy - 2 {y}^{2} = 0[/tex]
[tex]y \times (3x - 2y) = 0[/tex]
[tex]y = 0 = 3x - 2y = 0[/tex]
[tex]y = 0 = 3x = 2y[/tex]
[tex]y = 0[/tex]
[tex]x = \frac{2}{3} y[/tex]
[tex]y = 0. \: x = \frac{2}{3} y[/tex]
Which function is a quadratic function?
p(x) = 2x(x2 + 6) + 1
m(x) = –4(x + 3) – 2
t(x) = –8x2(x2 – 6) + 1
h(x) = 3x(x – 2) – 4
Answer:
D
Step-by-step explanation:
edge
(5a -2b +7c) + (3a + b -c) (Write answer in alphabetical order.) *
Answer:
8a - b + 6c
Step-by-step explanation:
Just combine like terms.
5a + 3a = 8a
-2b + b = -b
7c - c = 6c
(7-4) + 17 / -14 + 2 x 5
Answer:
165/14
Step-by-step explanation:
(7-4) + 17 / -14 + 2 x 5
3 + 17/-14 + 2 x 5
3 - 17/14 + 2 x 5
3 - 17/14 + 10
165/14
please please help me if for my homework
Answer:
89/100. Hope this helped.
Step-by-step explanation:
What does heredity mean?
DNA make RNA, and RNA makes proteins
a human genetic disorder
traits passed down from parent and grandparents to offspring
the process of DNA replicating into two strands
Can you answer this? please?
common factor. 48x7y9−24x2y7−60x4y2
Reduce the Fractions 15/9to its Lowest Terms
[tex]\large\bf{\red{ \implies}} \tt \: \cancel\frac{15}{9} \\ [/tex]
[tex]\large\bf{\red{ \implies}} \tt \: \frac{5}{3} \\ [/tex]
Decimal Form - 1.6667
1. Un terreno de cultivo en Junín tiene forma de rectángulo de 10m de base y 4m de altura. Debido a que el agricultor desea obtener mayor producción, amplía dicho terreno en dos metros cada lado. ¿En qué porcentaje aumentó el área?
a + b = 0 Which of these is equal to b?
0
1/a
a
-a
Please help!
Answer:
The answer is -a
Step-by-step explanation:
from equation,
[tex]a+b=0\\=>b=0-a[/tex]
∴[tex]b=-a[/tex]
Therefore, -a is equal to b
hope you have understood this....
pls mark my answer as the brainliest
Help!!! Please i need helppppoo
Hey there! I'm happy to help!
Our goal here is to write the function (equation) that represents what Carlos has graphed. This is a line, so we can use the slope-intercept equation to represent it.
Our slope-intercept equation is y=mx+b, where m is the slope and b is the y-intercept.
If we look at the graph, we see that the the line intersects the y-axis at the point (0,0), also known as the origin, so our y-intercept is 0.
To find our slope, we need to first find two points on the line. Well, we already have (0,0). The next point on the line that seems to have integers is (7,5). This means that from (0,0) our rise is 5 and our run is 7, and since slope is rise over run, that means that our slope is 5/7 (for every one unit we go over, the line goes up 5/7).
Now, we just throw these numbers into the equation.
y=5/7x
or
f(x)=5/7x (if it needs to be in that function format)
Have a wonderful day and keep on learning! :D
Write a function C(t) to represent the cost of
renting a canoe for t hours. The rental charge
is $25 plus $2 for every 20 minutes of rental.
Find C(1.5) and describe its meaning.
Answer:
C(t)=25+2t
C(1.5)=25+2(1.5)=28
$28 for 1.5 minutes rent
A function C(t) represents the cost of renting a canoe for t hours is C(t)=25+2t and the cost for 1.5 minutes will be $28.
What is a function?
A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
Given that the rental charge is $25 plus $2 for every 20 minutes of rental.
The function formed for the given data will be:-
C(t)=25+2t
At 1.5 minutes the rent will be calculated as below:-
C(1.5)=25+2(1.5)=28
Therefore, the function C(t) represents the cost of renting a canoe for t hours is C(t)=25+2t, and the cost for 1.5 minutes will be $28.
To know more about the function follow
https://brainly.com/question/1942755
#SPJ2
Factorize: a^3-1+ a-1
Answer:
[tex](a-1)(a^2+a+2)\\[/tex]
Hi,
Step-by-step explanation:
[tex]Remember:\ x^3-y^3=(x-y)(x^2+xy+y^2)\\a^3-1+a-1\\\\=(a-1)(a^2+a+1)+1(a-1)\\\\=(a-1)(a^2+a+2)\\[/tex]
Answer:
have a great day
god bless you
Jen has 2 quarters, 5 dimes, 3 nickels, and 2 pennies in her pocket.
does this form a right triangle 8,10,6
Answer:
Yes, it does. We can check by using the Pythagorean theorem (P.t.).
P.t.: a^2 + b^2 = c^2
a = 6, b = 8, c = 10
6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100
Brainliest, please!
Answer:
Step by step answer.
Yes
a^2 + b^2 = c^2
8^2 + 6^2 = 10^2
64 + 36 = 100
100 = 100
The Pythagorean Theorem works. C is always assumed to be the hypotenuse because it is the longest line It's position does not matter. If you did the problem like this
6^2 + 10^2 = 8^2
Of course this would not work, but it would also disobey the convention that c is the longest side.
can someone please help me find the domain and range
Answer:
the domains are x axis or intercepts and range is y axis or intercepts
read the following bar graph and answer the following related questions: 1:2 or 2:3 or 3:4 or 1:6.