Given:
The function is:
[tex]f(x)=-2x+5[/tex]
To find:
The inverse of the given function, then draw the graphs of function and its inverse.
Solution:
We have,
[tex]f(x)=-2x+5[/tex]
Step 1: Substitute [tex]f(x)=y[/tex] .
[tex]y=-2x+5[/tex]
Step 2: Interchange x and y.
[tex]x=-2y+5[/tex]
Step 3: Isolate variable y.
[tex]2y=5-x[/tex]
[tex]y=\dfrac{5-x}{2}[/tex]
Step 4: Substitute [tex]y=g(x)[/tex].
[tex]g(x)=\dfrac{5-x}{2}[/tex]
Hence, the inverse of the given function is [tex]g(x)=\dfrac{5-x}{2}[/tex] and the graphs of these functions are shown below.
The temperature in Mrs. Cagle's room was -14°F yesterday, but it rose 8°F today. What is the
new temperature today?
PLEASE ANSWER ASAP REALLY EASY QUESTION WILL GET BRAINLEST!!!!!!!!!!!
Is this a random or biased sample?
Answer:
It should be random (i think I don't know)
Step-by-step explanation:
Answer:
Yes it is biased
Step-by-step explanation:
Because instead of selecting a random variety of people they chose ones that are using their service...meaning they probably like the service. (I mean why else would they have it then)
Have a great day.
Solve y=f(x) for x. Then find the input when the output is – 3.
f(x) = 1/2x-3
x=
The input is
when the output is -3.
Given:
[tex]y=f(x)[/tex]
[tex]f(x)=\dfrac{1}{2}x-3[/tex]
To find:
The input when the output is – 3.
Solution:
We have,
[tex]f(x)=\dfrac{1}{2}x-3[/tex]
Substituting [tex]f(x)=y[/tex], we get
[tex]y=\dfrac{1}{2}x-3[/tex] ...(i)
We need to find the input when the output is – 3. It means, we have to find the value of x when [tex]y=-3[/tex].
Putting [tex]y=-3[/tex] in (i), we get
[tex]-3=\dfrac{1}{2}x-3[/tex]
[tex]-3+3=\dfrac{1}{2}x[/tex]
[tex]0=\dfrac{1}{2}x[/tex]
Multiply both sides by 2.
[tex]0=x[/tex]
Therefore, the input is 0 when the output is -3.
-4(6-b)=4 show work plz
Answer:
b= 7
Step-by-step explanation:
Find m angle 1.
A 100
B 25
C 80
D 105
Answer:
C. 80
Step-by-step explanation:
m angle 1 = ½×(105+55)= ½× 160= 80°
Enter the opposite of 4/5 and negitive 7/15
Answer:
-4/5 and 7/15
Step-by-step explanation:
the opposite of a number is a number that is equal length from 0 on a number line. So the opposite of 4/5 is -4/5 and the opposite of -7/15 is 7/15
---
hope it helps
what is the reciprocal of 453463.432849
Answer: 0.00000220524
Step-by-step explanation:
ANSWER ASAP I WILL MARK AS BRAINIEST AND GIVE POINTS
Answer:
90 units sold per hour
Step-by-step explanation:
1/60 of an hour is one minute
1 1/2 is how much it is per minute
1 1/2*60=90
What is the measure of angle of 1?
Answer:
m<1 = 118
Step-by-step explanation:
The remote angles theorem states that when one extends one of the sides of a triangle, the sum of the two non-adjacent angles is equal to the measure of the angle between the extension of the side and a side of a triangle. One can apply this theorem here by stating that
(28) + (90) = m<1
Remember, a box around an angle signifies that its measure is (90) degrees.
Solve this problem by performing the operation,
118 = m<1
What ordered pairs are the solutions of the system of equations shown in the graph below
Answer:
(1, -4) & (4,-7)
Step-by-step explanation:
If both the parabola and the line intersect.
Jay had three cupcakes he divided the cupcakes by 1/3 how many pieces of cupcakes does Jay have now
Answer:
9
Step-by-step explanation:
if one cupcake is split into 3 pieces *1/3 per piece* then 3 cupcakes would be 9 slices in total *3x3=9*
How many onto functions are there from a set with three elements to a set with eight elements?
Answer:
0 onto functions
Step-by-step explanation:
Let the sets be [tex]A\ and\ B[/tex] such that:
[tex]n(A) = 3[/tex]
[tex]n(B) = 8[/tex]
Required
The number of onto functions
The condition for onto functions is:
For there to be an onto function from set A to set B, the number of elements of B must be less than the elements in set A
Since n(B) > n(A) i.e. 8 > 3
Then, there can't be onto functions from A to B
9 - (4/9+1/3)
Write and solve a word problem for the expression
Answer:
9 pizzas total were bought for a party. Maya ate 1/3 of a pizza. John ate 4/9 of the same pizza. How much pizza is left?
Answer: 74/9 or 8.2
Step-by-step explanation:
first add 4/9 and 1/3 since it's in parenthesis
4/9+1/3
they need to have the same denominator, use the LCM (which is 9)
multiply 1/3 by 3 to achieve the LCM
4/9+3/9
add together numerators
7/9
subtract 7/9 from 9
9/1-7/9
get 9 to achieve the LCM (which is 9 again)
multiply 9/1 by 9
81/9 minus 7/9= 74/9
Cassie has a small cube-shaped box. Its volume is 64 cubic centimeters.
What is the area of one face of the box? Enter your answer in the box.
*I will give you 48 POINTS AND BRAIN-LEST*
In most residence, the largest bedroom is considered the Masters Bedroom. Which bedroom would be considered the Masters Bedroom based on area? * bed room 2 bedroom 1
Answer:
Bedroom 2 will be considered as the Master bedroom.
Step-by-step explanation:
Area of bedroom 1 = Area of room 1 - Area of the closet 1
Area of the room 1 = Length × Width
= (2.5 + 1.4) × (4.3+0.6)
= 3.9 × 4.9
= 19.11 m²
Area of closet 1 = 1.5 × 0.6
= 0.90 m²
Area of bedroom 1 = 19.11 - 0.90
= 18.21 m²
Area of bedroom 2 = Area of room 2 - (Area of bathroom + Area of Hall)
Area of room 2 = (3 + 3.1) × (2.5 + 2.4)
= 6.1 × 4.9
= 29.89 m²
Area of bathroom = 3 × 2.5
= 7.5 m²
Area of Hall = 1.2 × 2.4
= 2.88 m²
Area of bedroom 2 = 29.89 - (7.5 + 2.88)
= 29.89 - 10.38
= 19.51 m²
Since, area of bedroom 2 is greater than bedroom 1.
Therefore, Bedroom 2 will be considered as the Master bedroom.
Plz help me well mark brainliest if you are correct!!
Answer:
B
Step-by-step explanation:
i am smart :)
Round to the nearest hundredth (2 decimal places) when necessary
Answer:
216 is the area
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
if it's area, then:
area = 216 cm²
Step-by-step explanation:
area = 1/2bh = 1/2(27)(16) = 216 cm²
What is the area of the figure?
Answer:
b. 366 square inches
Step-by-step explanation:
The area of a triangle is 1/2×Base×Height. There are 2 pairs of identical triangles so you multiply each equation by 2.
2×(1/2×10×12) = 120 in²
2×(1/2×18×12) = 216 in²
120 in² + 216 in² = 336 in²
Answer:
336 square units
Step-by-step explanation:
Generally, to find the area of the given quadrilateral (which is presumably a kite), one uses the following formula,
[tex]\frac{(base)*(hieght)}{2}[/tex]
In this picture, one can see that the diagonals (dotted lines that connect opposite corners) are given, but their measurements are split up as per the segments they are divided into. In order to find the lengths of each diagonal, add up the two parts. To find the area of the figure, substitute the results into the given formula to find the area,
[tex]12+12=24\\\\10 + 18 = 28[/tex]
Substitute,
[tex]\frac{24*28}{2}\\\\=\frac{672}{2}\\\\=336[/tex]
hey guys may you help me with these questions 1 2 and 3
thank you
Answer:
1a. [tex]\frac{3}{4}[/tex]
1b. [tex]\frac{7}{10}[/tex]
1c. [tex]\frac{3}{10}[/tex]
1d. [tex]\frac{1}{3}[/tex]
2a. [tex]\frac{3}{4}[/tex]
2b. [tex]\frac{1}{5}[/tex]
2c. [tex]\frac{3}{10}[/tex]
2d. [tex]\frac{9}{10}[/tex]
2e. [tex]\frac{1}{20}[/tex]
3. [tex]\frac{1}{8}[/tex]
i need help lololololololololololololololol
Answer:
First Blank: 4*2 = 8
Second Blank: 6*2 = 12
Step-by-step explanation:
The common ratio for the right row is the number thats given on the opposite side of it's left row times 2
Hope this helps!
Answer:
I have no clue my guess tbh 4 to 8 and 6 to 12
HELP HELP I WILL GIVE ALL MY POINTS JUST HELP ME PLEASE
Answer:
A
Step-by-step explanation:
x = 0
y = -3
Answer:
My best bet is (0,-3) sorry if I'm wrong
Please help asap i give you all my points!
Answer:
it dropped 9% from last year
The distance between the amusement park and the bus terminal on a map is 2.25 inches. The map uses a scale in which 1 inch represents 15 miles. What is the actual distance between the amusement park and the bus terminal?
Answer:
33.75 miles
Step-by-step explanation:
[tex]\frac{1}{15} :\frac{2.25}{y}[/tex]
1 × y = 2.25 × 15
y = 33.75
Which expression is equivalent to 3 (x-9) + 6?
Answer: 3x-27
Step-by-step explanation:
Answer:
3x-21
Step-by-step explanation:
3(x-9)+6
3x-27+6
3x-21
look at pic 10 pts will mark brainilest
Plss help mee tyyyy
Answer:
57 i think
Step-by-step explanation:
What's the right answer?
Given:
[tex]sinh(f(x))=1+x^2[/tex]
To find:
The value of f'(x).
Solution:
Formulae used:
[tex]\dfrac{d}{dx}sinh(x)=cosh(x)[/tex]
[tex]\dfrac{d}{dx}x^n=nx^{n-1}[/tex]
[tex]\dfrac{d}{dx}C=0[/tex]
Chain rule:
[tex]\dfrac{d}{dx}[f(g(x))]=f'(g(x))g'(x)[/tex]
Where C is an arbitrary constant.
We have,
[tex]sinh(f(x))=1+x^2[/tex]
Differentiate with respect to x.
[tex]cosh(f(x))f'(x)=0+2x[/tex]
[tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex]
Therefore, the required values is [tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex].
HELP ASAP! WILL MARK BRAINLIEST! NEED HELP WITH PROBABILITY
Answer:
Question 1: 3. certain
Question 2: 2. 1/6
Step-by-step explanation:
There are six sides on a die.
1. You cannot roll a 7.
2. You can roll a 1, there is a 1/6 chance you roll that. However, there is zero chance you roll an 8.
Round to the nearest hundredth (2 decimal places) when necessary
Answer:
148.92 is the area of the triangle
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
If it's area, then:
area = 148.92 in²
Step-by-step explanation:
area = 1/2(20.4)(14.6) = 148.92 in²
A camcorder costing 150 has a markup rate of 35% . Find the markup.