30 POINTS PLS HELP
The slope of the linear function y= 5/4x +1/2 is changed to 5/8 where y= 5/8x + 1/2. Identify the transformation required to produce the new slope, state the equation of the transformed function, ande explainw hat the graph of the tranfsformed line look like.
Here is the picture of the question
Answers
Answer:
We proceed to use the following operations: (i) Vertical translation downwards ([tex]k = -\frac{1}{2}[/tex]), (ii) Vertical compression ([tex]c = \frac{1}{2}[/tex]), (iii) Vertical translation upwards ([tex]k = \frac{1}{2}[/tex]). The graph is presented below.
Step-by-step explanation:
To transform [tex]y = \frac{5}{4}\cdot x + \frac{1}{2}[/tex] into [tex]y = \frac{5}{8}\cdot x + \frac{1}{2}[/tex], we apply the following steps:
(i) Vertical translation downwards ([tex]k = -\frac{1}{2}[/tex])
[tex]g(x) = f(x) +k[/tex] (1)
(ii) Vertical compression ([tex]c = \frac{1}{2}[/tex])
[tex]g(x) = c\cdot f(x)[/tex] (2)
(iii) Vertical translation upwards ([tex]k = \frac{1}{2}[/tex])
[tex]g(x) = f(x) + k[/tex]
Now, we proceed to transform the primitive expression:
Step 1
[tex]f'(x) = \frac{5}{4}\cdot x[/tex]
Step 2
[tex]f''(x) = \frac{5}{8}\cdot x[/tex]
Step 3
[tex]g(x) = \frac{5}{8}\cdot x + \frac{1}{2}[/tex]
The graph of both function are now presented below. The parent function is the red line and the new function is represented by the blue line.
Related Questions
Question 7. Jose has scored 874 points on his math tests so far this semester. To get an A for the semester, he must score at least 959 points. Part 1 Enter an inequality to find the minimum number of points he must score on the remaining tests in order to get an A. Let n represent the number of points Jose needs to score on the remaining tests. What is the inequality. What is the solution to the inequality
Answers
Answer:
Step-by-step explanation: How many more points does he need to get to 959
please what is the answer? i need the steps too please help me
Answers
Plz help I have 7 more minutes to turn it in will mark u BRAINLY and give u points!
Answers
Step-by-step explanation:
[tex]f( - \frac{3\pi}{2} ) = 0 \\ f(\pi) = 2 \\ f( \frac{\pi}{2} ) = 0 \\ [/tex]
The security code to your home security system includes three single digit numbers 2.
and two letters. Repetition is allowed for the numbers but not allowed for the letters.
Answers
There is about 866 possible combinations. (please mark brainiest)
In ΔMNO, the measure of ∠O=90°, the measure of ∠M=66°, and NO = 60 feet. Find the length of MN to the nearest tenth of a foot.
Answers
Answer: 65.7
Step-by-step explanation:
sinM=
hypotenuse
opposite
=
x
60
sin
66
=
60
x
sin66=
x
60
x
sin
66
=
60
xsin66=60
x
sin
66
sin
66
=
60
sin
66
sin66
xsin66
=
sin66
60
x
=
60
sin
66
=
65.6782
≈
65.7
feet
x=
sin66
60
=65.6782≈65.7 feet
Answer:
67
Step-by-step explanation:
Justin cuts 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough?
Answers
Answer:
1.67 inches
Step-by-step explanation:
HOPE IT HELPS YOUU
Help please I give brainliest
Answers
Answer:
A) No Association
Step-by-step explanation:
Your shoe size and your math grade have nothing whatsoever to do with each other, so the answer would be No Association.
Hope it helps!
Which quadrilateral always has four sides of the same length?
isosceles trapezoid
parallelogram
square
rhombus
It’s multi choice
Answers
Answer:
square,rhombus,parallelogram, and i think thats it
Step-by-step explanation:
passes through (-3,-10) and has vertex (3,-8)
Answers
Answer:
You did not ask a question, but if you need Math help in the future try using the apps I named in the screenshot since Brainly does not allow me to write it.
Step-by-step explanation:
Evaluate: 2 x 30 - 24 divid 3 A.4 B.8 C.12 D.52 please help it would mean a lot <3
Answers
Answer:
52
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
2 x 30 = 60 - 24 = 36 divided by 3 is 12
There are 20 girls
and 12 boys in a class.
What would be the probability of
randomly selecting a girl? (Decimals please)
Answers
Answer:
0.625
Step-by-step explanation:
20+12=32 . ( amount of total pupils)
20/32=0.625
Probability is usually a percentage
so what would the answer be to 2/3 x 6/7
Answers
Answer:
4/7
Step-by-step explanation:
Given function:
2/3·6/7Cross multiply:
6=2 and 3=1Rename:
2/1·2/7Multiply the terms:
2/1·2/7=4/7Therefore, 2/3·6/7 is 4/7..
Answer:
4/7
Step-by-step explanation:
1. you multiply
2/3 x 6/7 equals 2 x 6 and 3 x 7 equals 12/21
Multiply the denominator and numerator
2. simplify
12/21 equals 4/7
Please help I need a better grade in this class.
Answers
Answer:
21;13
Step-by-step explanation:
ok so 68/4=17
and length is 4 longer then with so
so length is 17+4 amd with is 17-4
length:21
width:13
Calculate the value of this expressions.Give your answer as a mixed number
2 1/5 ÷(2 2/3 - 3/4)
Answers
Answer:
132/115
= 1 17/115
hope this helps
Find the measure of AB *
14 cm
24 cm
10 cm
140 cm
Answers
Answer:
10 cm
Step-by-step explanation:
Because it is a parrallogram and by its property it will be 10
Find the coordinates of the center and the measure of the radius for a circle whose equation is (x - 3)^2 + (y - 7)^2 = 2.
A. center = (3,7), radius = √2
B. center = (3,7), radius = 1
C. center = (-3, -7), radius =4
D. center = (-3, -7), radius =1
Answers
Answer:
A
Step-by-step explanation:
Equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
The coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.
What is a circle?A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the center. A circle is also the set of all points that are equidistant from the center.
Given is an equation of a circle, we need to find coordinates of the center and the measure of the radius for a circle,
The equation of the circle =
(x - 3)² + (y - 7)² = 2
The standard equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
Comparing both we get,
(h, k) = (3, 7)
r² = 2
r = √2
Hence, the coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.
Learn more about circle, click;
https://brainly.com/question/29142813
#SPJ2
At a scrapbooking party, guests brought a certain number of photographs to use, based on
how many pages they will be assembling. Ellie plans to assemble 4 small pages and 7 large
pages and brought a total of 22 photographs to use. Bridgette brought 30 photographs,
which is enough to assemble 8 small pages and 7 large pages. Assuming that the number of
photographs on a page remains constant, how many photographs fit on a small page and a
large page?
A small page can fit
photographs, and a large one can fit
photographs.
Answers
Answer:
A small page can fit 2 photographs, and a large on can fit 2 photographs.
Step-by-step explanation:
Let the number of photographs on the small page be represented by m and that of large one by n.
Since the number of photographs on a page remains constant, then;
4m + 7n = 22 ........... 1
8m + 7n = 30 .......... 2
Multiply equation 1 by 2, and 2 by 1 to have;
8m + 14n = 44 ....... 3
8m + 7n = 30 ......... 4
subtract equation 4 from 3,
7n = 14
n = 2
Substitute the value of n in equation 1
4m + 7(2) = 22
4m + 14 = 22
4m = 8
m = 2
m = 2, n = 2
Therefore, a small page can fit 2 photographs, and a large on can fit 2 photographs so that the number of photographs n a page is constant.
PLEASE HELP I WILL GIVE BRAINLY
During the 6th grade dance, the ratio of the number of girls to the number of boys was 6:1. Create a ratio table of the number of girls to the number of boys that attended the dance. Show how many girls were there if 9 boys were counted.
Answers
Answer:
9:6
Step-by-step explanation:
54:9
ratio is g:b
6: 1
12:2
18: 3
24:4
30:5
36:6
42:7
48:8
56:9
Help ASAP!!!! Thanks
Answers
Answer:
No DB is not a perpendicular bisector of AC
Step-by-step explanation:
This is because as AC is a straight line it's angle degree is 180 which when bisected by DB becomes,
180 ÷ 2 = 90
On both the angles i.e <BDC = <NDA = 90°
To make it a perpendicular bisector but
<BDC is not equal to <NDA is not equal to 90°.
Hence, DB is not a perpendicular bisector of line AC.
Explain in words please.
Answers
Answer:
I don't know what you mean by "explain in words", but I'm assuming you were referring to point b.
Step-by-step explanation:
You have to see that the rate of change, the "speed" at which her elevation decreases is 0.25 feet/s, such that in 8 seconds she went down by 2 feet.
Thus, until 50, you just gotta do the calculation for that speed. You notice that she needs to go 30 feet, at a speed of 0.25 feet per second, or 1 foot every 4 seconds.
If you earned $60 from $500 in sales , What is the percent commission?
Answers
Answer:
300
Step-by-step explanation:
Bianca makes an error when she tries to write an expression equivalent to
12 + 15(3 - y) - 10y. What is the error? Fix Bianca's error.
I NEED HELP ASAPPPPPP!!!
Answers
Answer:
57 - 25y
Step-by-step explanation:
when 15 was distributed it should be '45 - 15y' instead of '45 + 15y'
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The correct expression is
12 + 15(3 - y) - 10y
12 + 15 x 3 - 15y - 10y
12 + 45 - 15y - 10y
57 - 20y
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Step 1:
12 + 15(3 - y) - 10y
Step 2:
12 + 15 x 3 - 15y - 10y
Step 3:
12 + 45 - 15y - 10y
Step 4:
57 - 20y
Now,
We see that,
There was an error in step 2 where instead of -15y, +15y was written.
Thus,
The correct expression is
12 + 15(3 - y) - 10y
12 + 15 x 3 - 15y - 10y
12 + 45 - 15y - 10y
57 - 20y
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
What is the answer to 14v+6=2(5+7v)
Answers
Answer:
0=4
Step-by-step explanation:
14v+6=2(5+7v)
14v+6=10+14v
6=10
0=4
How many zeros does the equation x^5 – 11^4+ 7 have?
Answers
Answer:
5
Step-by-step explanation:
No. of Zeroes or Roots is equal to the degree of polynomial. Here, the degree of polynomial of the equation is 5. Hence, 5 Zeroes are possible.
Four circles, each with a radius of 2 inches are removed from a square. What is the remaining area of the square?
A. (16-4pie) in.^2
B. (16- pie) in.^2
C. (64-16pie) in.^2
D. (64-4pie) in.^2
Answers
What is the measure of angle 8 ? (Number only for the answer; no degree
symbol) *
Answers
answer is 65 degree......
1 litre is equal to how many decalitre
Answers
Divide the volume value by 10
‼️DIMENSIONAL ANALYSIS‼️
‼️ASAP!!! BRAINLIEST!!‼️
PLS HELP!!! SHOW ALL WORK +STEPS!! Thx!
Answers
40075km to miles is 24901.451 miles
And we need miles per hour
So divide 24901.451 by 24
= 1037.56 mph (rounded to nearest tenth)
But least to greatest
Answers
Answer:
8.933,8.96,9.05,9.065,9.08,9.1
Step-by-step explanation:
which is the solution of the equation below m-9=4 A M= -5 B m= -13 C M=5 D M= 13
Answers
Answer:
m= 13 is corrrect
Step-by-step explanation:
because 13-9=4 so D
Answer:
D.) m=13
Step-by-step explanation:
m-9=4
add nine to both sides then
m=13