Answer: Thus, after the transformation, the graph consists of points (x,y) satisfying y=2(x−3)2. This is the equation of the transformed graph.
Step-by-step explanation:
Consider the graph y=x2. Suppose the graph is dilated from the x-axis by a factor of 2, and then translated 3 units to the right. What is the equation of the resulting graph?
Solution
The transformation given is Trans(3,0)∘Dilx-axis,2. Denote by (x′,y′) the image of a point (x,y) under this transformation. A point (x,y) is sent to (x,2y) by the dilation, and then to (x+3,2y) by the translation, so (x′,y′)=(x+3,2y).
The original graph consists of points (x,y) such that y=x2. Then it is transformed so that (x,y)↦(x′,y′)=(x+3,2y). We must find what equation is satisfied by x′ and y′.
Since x′=x+3 and y′=2y, we have x=x′−3 and y=y′/2. Thus y=x2 implies
y′2=(x′−3)2or equivalentlyy′=2(x′−3)2.
How many hours in a day?
Answer:24 hours are in a day
The angle measure of a triangle is shown in the diagram.
what is the value of x?
A. 13
B. 20
C. 5
D. 12
Will all rational functions have at least one vertical asymptote? Justify your response with an
explanation
Answer:
no
Step-by-step explanation:
A rational function is the ratio of two polynomials. It will have a vertical asymptote if there is a real denominator zero that is not matched by one in the numerator.
Polynomials in general may or may not have real zeros, and two polynomials may have the same zero. Hence conditions may exist for a rational function not to have any vertical asymptotes.
An example with no vertical asymptotes is ...
f(x) = (x -1)/(x^2 +1)
A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states
The complete question statement is: A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states that the number of students who drive to school is greater than the number of teachers and employees who drive to school. Explain how Roger’s statement could be correct.
Answer and Explanation:
What is given;
Students 27%. (s)
Teachers and employees 94%. (t)
The ratio between these two variable is 10:1, this means that for every 10 students there's one employee only, that is, students are 10 times more than teacher and employees.
So, 27% of 10 students is 2.7 students, and 94% of 1 employee is 0.94 employees and teachers. So, if there are 2,000 students, there must be 200 teachers, and the number of students that have cars are 0.27(2000)=540, and the number of teacher and employees that have cars are 0.94(200)=188.
As you can observe, with this ratio and percentages, the number of students who drive to school is greater than the number of teachers and employees who drive to school. That's why Roger's statement is correct.
Kobina sells apple pies for 10gh each.kojo sells beverages for ghc1 each.if kobina sells 23 apple pies and kojo sells 17 beverages,what is the total in sales for both producs combined?
Answer:
680
Step-by-step explanation:
Based on the given conditions, formulate: 17 × ( 23 + 17 )
Calculate the sum or difference: 17 × 40
Calculate the product or quotient: 680
get the result: 680
Answer: 680
(Hope this helps can I pls have brainlist (crown)☺️)
Two cities are 5 3/4 inches apart on a map. The map scale says that 1/2 inch= 10 miles. How many miles
apart are two cities?
Answer:
900 Miles
Step-by-step explanation:
Since 1 inch = 200 miles, then ....
4.5 inches * (200 miles / 1 inch) = (4.5 inches * 200 miles) / (1 inch) = 900 miles
OR
1 / 200 : 4.5 / m ==> 1 * 4.5 / 200 * 4.5 = 4.5 / 900 ==> m = 900
Thus, the actual distance between the two cities is 900 miles.
Consider the function f(x) = 3x4 − 5x2. This function is (even, odd, neither) because [ f(x) = -f(x), f(x) = f(-x), -f(x) = f(-x) ]
Answer:
odd
Step-by-step explanation:
cuz it can't be neither or even
Enter values to write the function that matches the graph shown.
Answer:
Step-by-step explanation:
The curve crosses the x axis (has zeros) at -1 and -4
Therefore it has factors of (x + 1) and (x + 4) and possibly a constant factor C
y = C(x + 1)(x + 4)
plug in the known y intercept
16 = C(0 + 1)(0 + 4)
16 = 4C
C = 4
as they are looking for two factors and one is give as (x + 1), the other must be C(x + 4) = 4(x + 4) = 4x + 16
The table shows that the ratio of boys to girls at Midtown Middle School is 3 to 4. Which classes have an equivalent ratio of boys to girls? Check all that apply. A math class with 12 boys and 16 girls.
An English class with 14 boys and 14 girls.
A science class with 15 boys and 20 girls.
A Spanish class with 20 boys and 15 girls.
A band class with 75 boys and 100 girls.
Answer:
Step-by-step explanation:
A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.
What is Ratio?Ratio is a concept in mathematics used to compare two things.
It is denoted by a : b.
A ratio can be represented as fractions also like a/b.
In the question, it is given that the ratio of boys to girls is 3 to 4.
A math class with 12 boys and 16 girls = 12/16 = 3/4An English class with 14 boys and 14 girls = 14/14 = 1A science class with 15 boys and 20 girls = 15/20 = 3/4A Spanish class with 20 boys and 15 girls = 20/15 = 4/3A band class with 75 boys and 100 girls = 75/100 = 3/4Hence A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.
To learn more about Ratio, click:
https://brainly.com/question/13419413
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The length of one of the sides of a triangle is equal to 1m, the measurement of adjacent angles are 30º and 45º. What are the lengths of the other sides of this triangle?
Thr length of one of the sides of a triangle is equal to 1m, the mesurement of adjacent....... 45, 30 is lengths of the both side triangle.
THANK YOU
How much time will it take Wilson to finish painting the bookcase? Explain.
Find the sum of the pair of numbers.
8+(-2)
Answer:
6
Step-by-step explanation:
8-2
=8+-2
=6
the sum just means when u add them both together hope this helps! u just do 8 take away 2 because its a negative
help me out please i dont understand this
Answer:
x=7°
Step-by-step explanation:
From the picture it tells us that all side are equal
so that means every side is 60°
Let's make an equation
9x-3°=60°
add 3 on both sides
9x=63°
divide both sides by 9
x=7°
Zack buys some potatoes from a store. The potatoes cost $7.68 for 3 pounds. He wants to buy more vegetables, but at the same price per pound as the potatoes. Which of the following vegetables could Zack buy?
Answer:
23.04 i think pls mark brainliest
Step-by-step explanation:
The triangle is to be reduced by a ratio of 1:2.
a
Answer:
where is the triangle?
Step-by-step explanation:
GIVING BRAINEST IF RIGHT!!
Factor x^4 - 12x squared + 36
Answer:
(x^2-6)^2
Step-by-step explanation:
Answer:
(x2-6)^2
Step-by-step explanation:
I think that's the answer not sure
Which rational number could be graphed between 0 and 1?
A number line going from negative 5 to positive 3 in increments of 1.
O Negative one-half
O One-fourth
O Three-halves
O 1.75
O NEGATIVE ONE-HALF ........
Answer:
answer is D
Step-by-step explanation:
the answer is 1.75
Tarik filled his tank with 11 gallons of
premium gasoline. He paid $38.76. How
much did Tarik pay per gallon?
7. Karen opened a savings account with $500. The money earns 0.2% interest per month. If she does not make any withdraws or any more deposits, approximately how much money will Karen have in the account after two years?
(North Carolina Math 2)
A. $502 B. $512 C. $515 D. $525
Answer:
The answer is A
Step-by-step explanation:
0.2% of 500 is 1 so in two year she would have 502$
Scientific notation question in mathematics please answer
A newly discovered planet has a mass of 4.8743 · 10 22 kilograms. It's estimated that there is water on the surface and that, the water's mass is only 4 · 10 -2 percent of the planet's total mass. Use scientific notation to estimate the mass of the planet's water. In your final answer, include all of your estimates and calculations.
Answer:
1.94972 × 10¹⁹ kgStep-by-step explanation:
Mass of the planet:
4.8743 × 10²² kgThe water's mass:
4×10⁺²%Mass of the planet's water:
4.8743 × 10²² * 4×10⁺² / 100 = 19.4972 × 10²²⁺²⁺² = 19.4972 × 10¹⁸ = 1.94972 × 10¹⁹The formula for the area of a trapezoid is A= 1/2h(b1+b2), Where h is the height and b1 and b2 are the two bases. Rewrite the formula to solve for b1 in terms of A, h, and b2.
Answer:
Correct choice: B
Step-by-step explanation:
Equation Solving
The area of a trapezoid with height h and bases b1 and b2 is given by:
We must solve this formula for h.
First, multiply by 2 to eliminate denominators:
Now, divide by b1+b2:
Swapping sides:
Correct choice: B
The length of a rectangle sign is 3 times it’s width, if the signs perimeter is 16 inches, what is the signs area
Whats the answer to 2 1/6 + 3 4/9?
Answer:
4.61
did that help??
Step-by-step explanation:
[tex]2 \dfrac 16 + 3 \dfrac 49 \\\\\\= 2 + \dfrac 16 + 3+ \dfrac 49\\\\\\ = 5+\dfrac{11}{18}= 5 \dfrac{11}{18}[/tex]
Each day of Spirit Week at Alek's school, students have the option of dressing up according to a different theme. On Tuesday of Spirit Week, Alek recorded the number of students at his school by class and style of dress. Here is his data:
Answer:
D
Step-by-step explanation:
or
This is the conditional distribution of style of dress for freshmen.
Line /1 and line /2 are parallel lines. Determine the measures of <1 though <12
Answer:
1=56⁰
2=56⁰
3=68⁰
4=68⁰
5=56⁰
6=112⁰
7=180-124 Ans=56⁰
8=68+56 Ans=124⁰
9=68⁰
10=112⁰
11=124⁰
12=56⁰
36=12d is a proportional or Non-proportional? Explain
Answer:
non-proportional
Step-by-step explanation:
This equation is non-proportional. A proportional equation contains 2 variables where one is proportional to the other. An example would be:
y = 5x
Y is proportional to the value of X at a rate of 5. 5 is the "constant of variation", or the "constant of proportionality"
36 = 12d is not proportional because there is only one variable. That variable can be solved for, giving only one solution.
proportional:
"corresponding in size, degree or intensity"
"having the same or a constant ratio"
The following data set has a mode of 2, a mean of 10, and a median of 7. Which of these three measures gives the best idea of the typical size of the numbers in the list?
2, 2, 2, 4, 6, 8, 10, 12, 14, 60
A. Median
B. Mode
C. Mean
Answer:
I should think the median
Which graph does NOT represent a function?
Answer:
The circle graph does not represent a function because it doesn't pass the vertical line test.
Step-by-step explanation:
2.54 to nearest minute
Answer:
3 minutes
Step-by-step explanation:
-
4. 3x² - 2x - 1 = 0