First box is: decreasing
Second box: 0< b< 1
Third box: Up
Fourth box: Right
The parent function y=0.5^x is decreasing across its domain because its base b is such that (0<b<1) and function shifts it 8 units up and 5 units right.
What is translation of a function?Translation of a function is shifting the function from its original place in the graph.
Types of translation -
Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)+c shifts the graph c units down and by replacing parent function with f(x)-c shifts the graph b units up.
The functions of the graph given in the problem as,
[tex]f(x) = (0.5)^{x-5}+8[/tex]
The parent function of the graph is,
[tex]y=0.5^x[/tex]
In the parent function, the 5 units subtracted, and 8 units added outside the function. Thus, the function shifts the parent function 8 units up and 5 units right.
Thus, the parent function y=0.5^x is decreasing across its domain because its base b is such that (0<b<1) and function shifts it 8 units up and 5 units right.
Learn more about the transition of a function here;
https://brainly.com/question/626170
Rewrite the following using distributive property
1. 24+20
2. 12+16
3. 36+81
4. 49+84
5. 99+36
Thanks❤
Answer:
12+16
24+20
36+81
49+84
99+36
The population of a small town, P, as a function of time, t, in years past 1940 is given below. P = 2,828 + 125t For which of the following years was the population of the town 8,453?
Answer:
Step-by-step explanation:
P = 2,828 + 125t
8,453 = 2,828 + 125t
5625 = 125t
t = 45
You didn't post the choices, hope that I can help you.
Answer:
Any year after 1985
Step-by-step explanation:
8453=2828+125t
5625=125t
45=t
1940+45=1985
Please help im desperate. :)
Answer:
b is ya answer hope you have a blessed day
Step-by-step explanation:
Answer:
C undefined sorry im rushing
need help i don't know of I got the the first problems rigth so just please tell me if I did and please answer second problem
Answer: Question 1 is correct and Question 2 is 12 degrees :)
Step-by-step explanation: hope this helped!
Dino finds the line-of-best fit for the data set shown. What is the equation of Dino's line-of-best fit?
Answer:
y = 2.0x + 0.6
Step-by-step explanation:
Dino's data:
X _____ Y
1 ______ 1
2 ______5
3 ______6
4 _____ 10
5 _____ 13
6 _____ 13
7 _____ 14
8 _____ 16
9 _____ 18
10 _____21
Using the linear regression calculator, the line of best fit for the data is :
y = 2.0X + 0.6
Where ;
Slope = 2 ; intercept = 0.6
What is the missing reason for the 3rd step in the proof below?
A. If two lines are parallel, then alternate interior angles are congruent
B. Corresponding angles theorem
C. Vertical angles are congruent
D. If two lines are parallel, then alternate exterior angles are congruent
Answer:
The missing reason for the 3rd step in the proof below is;
C. Vertical angles are congruent
Step-by-step explanation:
In the two column proof, we have;
Statement [tex]{}[/tex] Reason
1. AB ║ CD [tex]{}[/tex] 1. Given
2. ∠3 ≅ ∠7 [tex]{}[/tex] 2. Corresponding angles theorem
3. ∠7 ≅ ∠6 [tex]{}[/tex] 3. Vertical angles are congruent
4. m∠3 = m∠7 [tex]{}[/tex] 4. Definition of congruence
m∠7 = m∠6
5. m∠3 = m∠6 [tex]{}[/tex] 5. Substitution
6. m∠3 ≅ m∠6 [tex]{}[/tex] 6. Definition of congruence
Vertical angles are the angles formed on the opposite sides of two straight lines when they cross each other
Other vertical angles in the diagram are;
1) ∠5 and ∠8
2) ∠1 and ∠4
3) ∠2 and ∠3
Write an equation of the line that passes through (1,2) and is parallel to the line y = -5x+4
Answer:
y =-5x + 7
Step-by-step explanation:
y = -5x + 4
Slope = -5
Parallel lines have same slope
Slope of the parallel line to this line = -5
(1 , 2)
y -y1 =m(x - x1)
y - 2 = -5(x - 1)
y -2 = -5x + 5
y = -5x + 5 + 2
y = -5x + 7
What is 4 & 1/2 ÷ 1/6?
Answer:
27
Step-by-step explanation:
4 1/2 = 9/5
9/2 : 1/6 =
9/2 x 6/1 =
(9x6) / (2x1) =
54/2 = 27
hii pls help i’ll give brainliest if you give a correct answer
Answer:
east to west i think im not too sure
Answer:
north stars appear to move from east to west in the sky :)
In a small library, there are 55 nonfiction books for every 99 fiction books. There are 130130 nonfiction books.
a. How many fiction books are there? Use paper to draw a model to support your answer.
There are
fiction books.
b. How many more fiction books are there than nonfiction books?
There are
more fiction books than nonfiction books.
At the grand opening of a new store, every 9th customer will receive a balloon and every 12th customer will receive a $10 gift certificate. Which customer will be the first to get both a balloon and gift certificate?
Answer: 36th customer.
Step-by-step explanation: 36 is divisible by both 9 and 12, and is the least common multiple.
Write the equation for an exponential function that triples ever year, x, when the original amount is 4.
Answer:
y = 4(3)^x
Step-by-step explanation:
Here, we want to write the exponential equation
From the question, we have the equation tripling in x value every year and the original amount is 4
The exponential equation is of the form;
y = a(b)^n
In this case;
a = 4 , b = 3 and n = x
So we have the equation as;
y = 4(3)^x
Expand and simplify (x-3)(2x+1)(x+1)
Step-by-step explanation:
(x-3)(2x+1)(x+1)
(2x² - 6x + x - 3)(x+1)
(2x² - 5x - 3) (x+1)
2x³ -5x² -3x + 2x² -5x - 3
2x³ - 3x² - 8x -3
---------------------------FOLLOW ME
What is the length of the missing leg?
there are 72 boys and 90 girls on a math team for the next competition mr. Johnson would like to arrange all the students in equal rows with only girls or only boys in each row. What is the greatest number of students that can be in each row
Is this correct?????
Answer:
yeah i think so
Step-by-step explanation:
Answer:
it is correct jbhsjsshsusuwwy
Combine the like terms for the following expressions -3+4b-6g+5-7b
Answer:
-3b-6g+2
Step-by-step explanation:
Find the value of x in the triangle.
A right triangle has one angle with a measure of 54 degrees and the other angle measure of x degrees.
A. 126°
B. 234°
C. 36°
D. 144°
Answer:
Agreed, the answer is 36
Step-by-step explanation:
Subtract 180-90=90-54=
36
There's your answer.
hello please help thank you!
Answer:
BC ≈ 5.44 m
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] , that is
cos27° = [tex]\frac{BC}{6.1}[/tex] ( multiply both sides by 6.1 )
6.1 × cos27° = BC , then
BC ≈ 5.44 m ( to 3 significant figures )
my question is in the photo
Answer:
all the answers are there in safari can just check it
Step-by-step explanation
Can you please solve this
Answer: [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]
Step-by-step explanation:
I'll do the fraction on the left, then the one on the right. Follow the screenshots below to help you out.
1. Use distributive property. The first of the images is me distributing all the values on the fraction on the left. Now I will do the ones on the left.
2. I used the same method. Now I will multiply the two.
3. [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]
y = 2x - 6
y = - 4x + 3
2y = 3/2 (16x+18) - 7
Answer:
y = 12x + 10
X = y/12 - 5/6
Answer:
y = 12x + 10
x = (y-10)÷12
Step-by-step explanation:
A triangle has side lengths 24,143 and 145 is it a right triangle?
Answer:
yes last one
Step-by-step explanation:
Find the midpoint between A (4, 2) and B (0, 6)
Show work, please
32 points!
Answer:
1.Equivalent
2.Equaivalent
3.Not Equivalent
4.Equivalent
What is the surface area of this right square pyramid?
with a width of 5cm and a height of 9cm
A.90cm squared
B.115cm squared
C.205cm squared
D.250cm squared
Answer:
it isn't 205 but my guess is its 115
a line is perpendicular to y=-2x+5 and intersects the point (-4,2). what is the equation of this perpendicular line?
Answer:
y = 1/2x + 4
Step-by-step explanation:
If the line is perpendicular to y = -2x + 5 then the new line has a slope of 1/2.
So solve for b: using y = mx + b
2 = 1/2(-4) + b
2 = -2 + b
4 = b
Put it all together
y = 1/2x + 4
Calculate the volume.
Plz hurry!! 40 points in it!!
Answer:
tell me the decimals number form
Step-by-step explanation:
Plz help I’m need help