Answer:
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left.
3) O(x,y)=(x-3,y+5)
The rule that describes the translation is (x, y) -> (x - 3, y + 5), the correct option is C.
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units:
y=f(x+c) (same output, but c units earlier)
Right shift by c units:
y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y =[tex]k \times f(x)[/tex]
Horizontal stretch by a factor k: y = [tex]f\left(\dfrac{x}{k}\right)[/tex]
We are given that;
5 units up and 3 units to the left
Now,
In this case, the rectangle is translated 5 units up and 3 units to the left. This means that the vertical shift is 5 and the horizontal shift is -3.
After transformation x=x - 3
Y=y + 5
Therefore, the transforming function will be (x, y) -> (x - 3, y + 5).
Learn more about transforming functions here:
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Determine whether the relation is or is not a function.
Answer:
Not a function because it does not pass the Vertical Line Test.
300 students took a survey on a new recycling project. The percent of students who supported the recycling project was greater than 50% but less than 75%. How many students supported the recycling project?
Answer:76
Step-by-step explanation:
):!/
In Game 1, Eli struck out 25 times in 75 times at bat.
In Game 2, he struck out 30 times in 100 times at bat.
In Game 3, he struck out 37 times in 120 times at bat.
struck out
'at bat
What proportion represents the percent of
strike outs per at bats?
Answer:
p = 31.19%
Step-by-step explanation:
Proportions and Percentages
A proportion is calculated as a division between two numbers. The result can be given as a decimal or as a percentage.
If we want to calculate the percent of a number N with respect to another number M, the formula is:
[tex]\displaystyle p=\frac{N}{M}*100\%[/tex]
Eli had some performances when playing baseball. Struck out 25 times in 75 times at bat, 30 times in 100 at-bats, and 37 times in 120 at-bats.
The total struck outs were: N= 25+30+37=92 and the total at-bats were: 75+100+120=295. The proportion of strikeout ber at-bats is:
[tex]\displaystyle p=\frac{92}{295}*100\%[/tex]
p = 31.19%
The diffence between a number x and 13 is 18
Solve by elimination:
2x + 4y = 34
x+4y = 27
A (7,-5)
B (6,6)
(7,5)
(5,7)
Answer:
(7,5)
Step-by-step explanation:
{2x + 4y = 34
{4y = 27 - x
2x + 27 - x = 34
x=7
4y = 27 - 7
y = 5 so the answer is ( 7,5)
for the given equation, enter the value of M when
x=3/2
x+2m=7/2
Answer:
Hope this helpsss plz vote brainliest
Step-by-step explanation:
Find the area of this parallelogram
Answer:
260cm
Step-by-step explanation:
20x13=260
Brad owns a successful corporation that has a substantial earnings and profits. During the year, the following payments were made by corporation
Answer:
That's great for Brad, wait are you talking about the Brad from clash royale? if so im impressed
Step-by-step explanation:
A boy walks at a speed of 4 km/hr. How much time does he take to walk a distance of 20 km?
Answer:
It takes 5 hours
Step-by-step explanation:
Time=distance/speed/rate
Time=20km/4km/hr
Time= 5hours
Marianna just completed her findings in her investigation of the importance
of sunlight in the growth of plants. She has to submit a report of no less than
4,900 words in 15 pages. She can only use two types of font for her report.
The normal font size allows 300 words per page while the smaller italic font
allows 350 words per page. What is the maximum number of pages in her
report that can be set using the normal font size?
Please I need help!!!!!
Answer:
17 pages
Step-by-step explanation:
if not that then 15 since it says "less than 4,900 words in 15 pages"
HELP PLEASE ITS DUE!!!! PLEASE I NEED HELPPPPPPP
The function y= x2 - 10x+ 31 has a
value of
Answer:
y = 6 at x = 5Step-by-step explanation:
It is assumed the question is about finding the minimum value as the given function has no maximum value, it is + ∞ as the coefficient of x² is positive
The minimum/maximum value of a quadratic function is the vertex, which is at:
x = -b/2aFor the given function y = x² -10x + 31, the vertex is:
x = - (-10)/2*1 = 10/2 = 5The value of y at this point is:
y = 5² - 10*5 + 31 = 25 - 50 + 31 = 6The point is
(5, 6)To gather information on customer satisfaction, a researcher randomly selects four store locations and interviews all the customers at those selected stores. This sampling technique is called:
Answer:
This sampling technique is called cluster
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
The population is divided into groups(by stores), and all elements of the groups(all customers at the stores are sampled), which is the characteristic of a cluster sampling.
Select the correct answer. What is the solution to this equation?
324=4(3)2x
a. x=8
b. x=4
c. x=2
d. x = 1
Answer
C. x=2
Step-by-step explanation:
This is due to 2(2) = 4
then 3^4=81
81*4=324
The solution to equation [tex]324=4(3)^{2x}[/tex] is x = 2.
What is exponential function?An exponential function is a mathematical function of the following form:
[tex]f(x) = a^{x}[/tex]. where x is a variable, and a is a constant called the base of the function.
Given exponential equation
[tex]324=4(3)^{2x}[/tex]
[tex]4(3)^{2x}=324[/tex]
[tex]3^{2x} =\frac{324}{4}[/tex]
[tex]3^{2x}=81[/tex]
[tex]3^{2x}=3^{4}[/tex]
When bases are equal, power should be equal.
2x = 4
x = 2
Hence, the solution to equation [tex]324=4(3)^{2x}[/tex] is x = 2.
Option C is correct.
Find out more information about exponential function here
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solve the equation 11.9=-23.8x
Answer:
x = − 0.07983193
Step-by-step explanation:
The system of equations y=-2x+3 and y=x is graohed. What is the solution to the system of equations
Answer:
The solution to this system of equations is y = 1, x = 1
Step-by-step explanation:
We know that...
(1) y = - 2x + 3
(2) y = x
Then we just substitute the value of x that we are given in equation (2).
And so we get....
y = -2x + 3
x = - 2x + 3
3x = 3
x = 1
From equation (2) we know that y = x, so since x equals 1 y is also 1. There for the solution to this system of equations is (1,1)
i will mark brainliest
6) Steven receives $5.75 per hour and 3% commission on sales. One week he worked 40 hours and sold $2,500
worth of goods. How much did he earn that week?
Answer:
$230 for the hourly pay of 5.75×40 and $75 for the 2500x3% so total pay is $305.
Help me please i really need it so i can relax this weekend
the ratio of boys to girls in a class is3:2 there are 25 students in this class how many are girls how many are boys.
Answer:
Out of 25, the number of girls to boys is 15/10, which is equivalent to 3/2.
Step-by-step explanation:
PLS HELP ASAP THIS IS DUE IN 10 MINUTES
Answer:A number decreased by 40
Step-by-step explanation: I really don't feel like explaining this lol...
anyone know the answer ?
Answer:
y ≥ -1x +2
Step-by-step explanation:
Planes A and B intersect.
Vertical plane B intersects horizontal plane A. Point W is on the line where the planes intersect. Vertical line m is on the left half of plane A. Horizontal line n intersects line m at point X and line k at point W. Line l is on the lower half of plane B with point Y.
Which describes the intersection of plane A and line m?
line k
line n
point X
point W
Answer:
Point x
Step-by-step explanation:
got it right on edge 2021
Answer:
c
Step-by-step explanation:
mZJ and m M are base angles of isosceles trapezoid JKLM. If mZJ = 18x + 8 and m_M=11x + 15 find m2K.
K
L
M
The question is incomplete. Here is the complete question.
m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.
If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.
A. 1
B. 154
C. 77
D. 26
Answer: B. m∠K = 154
Step-by-step explanation: Isosceles trapezoid is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.
Related to internal angles, angles of the base are equal and opposite angles are supplementary.
In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:
18x + 8 = 11x + 15
7x = 7
x = 1
Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:
m∠J = 18(1) + 8
m∠J = 26
m∠K + m∠J = 180
m∠K + 26 = 180
m∠K = 154
The angle m∠K is 154°
Find x if:
- B is between A & C;
-AB = x + 5;
-BC = 2(x-3); and
-AB ~= BC
Answer:
The value of x = 11
Step-by-step explanation:
Given
B is between A and C.AB = x+5BC = 2(x - 3)[tex]{\displaystyle {\overline {AB}[/tex] ≅ [tex]{\displaystyle {\overline {BC}[/tex]Determining the value of x
As B is between A and C, so
[tex]{\displaystyle {\overline {AB}[/tex] ≅ [tex]{\displaystyle {\overline {BC}[/tex]
as
AB = x+5BC = 2(x - 3)so
x + 5 = 2(x-3)
x+5 = 2x-6
2x-x = 5+6
x = 11
Therefore, the value of x = 11
Need help rlly quick (3)
Answer:
-2 negative
Step-by-step explanation:
so if x = 0 then forget it is there then do 2-4=negative 2
hope this helped
Find the value of the expression below when x= 3.
x2 + 5
Answer:
11
Step-by-step explanation:
x*2 + 5
Subtitute
3*2 + 5
6 + 5
11
Answer:
11
Step-by-step explanation:
x is 3
2x+5
2(3)+5
6+5
11
write the equation of a line with the given two points in slope intercept form.
(5,1) (-3,2)
PLZ HELP!
Answer:
y = -⅛x + 1⅝
Step-by-step explanation:
Pe nu cerc de central O se considera punctul ABC astfel incat punctele A B C sunt coliniare .Care este masura unghiului ACB
Cheryl is buying lace for her dance costume. One foot of lace costs 3 dollars. How much does each amount cost?
3/4 of a foot?
Answer:
3/4 of a foot will cost $2.25.
Step-by-step explanation:
This question is solved by rule of three, due to proportions.
One foot of lace costs 3 dollars. How much is 3/4 of a foot going to cost?
1 foot - 3 dollars
3/4 foot - x dollars
[tex]x = 3 \times \frac{3}{4} = \frac{9}{4} = 2.25[/tex]
So
3/4 of a foot will cost $2.25.