Given the function: f(x)=−(x−3)2+3. Describe the transformations in the order in which they occur.
Answer:
First, reflection over the x- axis, then a horizontal translation 3 units to the right and 3 units up.
Step-by-step explanation:
Order does not matter. The - before the (x-3) makes a reflection over the x-axis. Then, the -3 in the (x-3) makes the graph translate 3 units to the right, and the +3 is 3 units up.
42% of the people of the people are ahead of me and 56% of them are behind me how many people are in the line?
Answer:
100%
Step-by-step explanation:
This question doesn't really make sense but technically it's 100%
Carlos has two summer jobs. During the week he works in the grocery store, and on
the weekend he works at a nursery. He gets paid $16 per hour to work at the grocery
store and $17 per hour to work at the nursery. How much does he earn if he works 15
hours at the grocery store and 16 hours at the nursery? How much does he earn if he
works g hours at the grocery store and n hours at the nursery?
Answer:
$512
16g+17n= m
Step-by-step explanation:
Multiply 16 and 15 to represent the amount of money from working in the grocery store and 17 and 16 to represent the money from the nusery home. Add them to get 512.
The range of which function is (2.oo)?
y = 2x
y = 2(5x)
y=5X +2
y = 5x + 2
Answer: [tex]y = 5^x+2[/tex]
The 2 is not in the exponent.
=====================================================
Explanation:
As x gets smaller and smaller, going off into the negative direction forever, the expression [tex]5^x[/tex] will approach 0. This is because we're computing stuff like 5^(-1) = 1/5 = 0.2 and 5^(-2) = 1/25 = 0.04 and so on. The decimal values are approaching 0 but never actually arrive there. The range of [tex]y = 5^x[/tex] is [tex](0,\infty)[/tex]
Adding on the 2 at the end will shift everything up so that the range is now [tex](2,\infty)[/tex]. Refer to the graph below.
The parenthesis in interval notation mean we do not include that endpoint as part of the set. Saying something like [tex](2,\infty)[/tex] is the same as saying [tex]2 < y <\infty[/tex] when talking about the range.
I look like this: __ . __ __
• My tenths digit is twice my hundredths digit.
•My ones digit is equal to the sum of my tenths and hundredths
digits.
• My hundredths digit is even and greater than zero.
What number am I?
Simplify the polynomial, then evaluate for x = 1 and y = - 2.
2x2 y + 3xy2 – 3xy + 4x2 y + y2 – 5xy2
6x²y – xy2 – 3xy; - 14
6x2 y - 2xy2 – 3xy + y2; – 2
6xy - xy2 – 3xy;
- 10
6xy - 2xy2 – 3xy + y2; - 10
Answer:
Step-by-step explanation:
6(1)(-2) -2(1)(-2)^2 - 3(1)(-2) +(-2)^2
-12 -8 +6 +4
=-10
-10 is the value of the given polynomial.
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
First, we can simplify the polynomial by combining like terms:
[tex]2x^2y + 4x^2y + 3xy^2 - 5xy^2 - 3xy + y^2\\= (2x^2y + 4x^2y) + (3xy^2 - 5xy^2) + (-3xy + y^2)\\= 6x^2y - 2xy^2 - 3xy + y^2[/tex]
Now, to evaluate for x = 1 and y = -2, we substitute those values into the simplified expression:
[tex]6(1)^2(-2) - 2(1)(-2)^2 - 3(1)(-2) + (-2)^2\\= 6(-2) - 2(4) + 6 + 4\\= -12 - 8 + 6 + 4\\= -10[/tex]
Therefore, the value of the polynomial for x = 1 and y = -2 is -10.
Learn more about Polynomials here:
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This figure on the left was reflected, or flipped, over a line of reflection to create the figure on the right. Determine the location of the line of reflection.
Answer:
Step-by-step explanation:
Somewhere along the blue line
Xander and Carly have a total of $12,000 to invest. If Zander tripled his money and Carly doubled her money, then they would have $31,000 to invest. How much money do each of them currently have? SOLVE this in TWO ways. Visually without variables and using algebra.
Answer:
Zander starts with 7,000; Carly starts with 5,000
Step-by-step explanation:
1 - Visually solving
Looking at the final value (31,000) one could interpret the sums of the numbers tripled and doubled respectively would need to equate to 31,000.
Taking off the additional zeros could also prove beneficial. To get 31, one of the numbers tripled or doubled would need to either be 11 or 21. 11 is a prime number, so that can be cancelled out. 7 multiplied by 3 (triple) produces 21.
12 - 7 = 5. Solving for the leftover 5 which would be doubled, you would get 10.
10 + 21 = 31.
2 - Algebra
x - Zander; y - Carly
To begin with you should need the initial formula.
x + y = 12,000
Your second formula would then take into consideration the changes made to x and y
3x + 2y = 31,000.
Using process of elimination or substitution, (either method works), you will find x = 7,000 and y = 5,000
Select the FALSE statement about the correlation coefficient (r).
a. The value of the correlation coefficient lies between-1 and 1.
b. The sign of the correlation coefficient tells us if the pair of variables is positively or negatively associated.
c. The correlation coefficient r = 0 shows that two variables are strongly correlated.
d. The correlation coefficient quantifies the strength of the linear relationship between two variables.
Answer:
C.
Step-by-step explanation:
Scatterplots with weak correlation coefficients are values near zero
The false statement about the correlation coefficient is r = 0 shows that two variables are strongly correlated.
What is Correlation?A statistical metric known as correlation illustrates how closely two variables are connected and how they tend to move in tandem. When two variables are positively correlated, they move in the same direction, and when they are negatively correlated, they move in the opposite way. To determine the degree and direction of the association between two variables, a correlation coefficient is utilized.
A correlation coefficient of -1 indicates a perfect negative correlation, a correlation coefficient of 1 indicates a perfect positive correlation, and a correlation coefficient of 0 indicates no correlation between the two variables.
Given data ,
The FALSE statement is:
c. The correlation coefficient r = 0 shows that two variables are strongly correlated.
A correlation coefficient of 0 means that there is no linear relationship between the two variables. It does not indicate the strength of the relationship.
A value of r = 0 indicates that there is no association between the two variables, whereas a value of r = 1 or r = -1 indicates a perfect positive or negative association, respectively.
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The government measures economic activity by calculating the
The Gross Domestic Product measures the value of economic activity within a country. Strictly defined, GDP is the sum of the market values, or prices, of all final goods and services produced in an economy during a period of time.
Hope this helps!
If your car gets 34 miles per gallon, how much does it cost to drive 320 miles when gasoline costs $3.40 per gallon?
The cost is $
(Simplify your answer. Round to the nearest cent as needed.)
Answer:
$31.96
Step-by-step explanation:
To find how many gallons you need, divide 320 by 34.
[tex]\frac{320}{34} =9.4 (rounded-to-the-nearest-cent)[/tex]
So now that we know we need 9.4 gallons, we multiply 9.4 times the price per gallon ($3.40)
9.4 x $3.40 = $31.96
HELP
Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.
Answer:
152
Step-by-step explanation:
avrg rate of change is basically a slope.
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
All step by step answer is in picture below.
Eric spends $30 to buy the
ingredients for 5 batches of trail mix. Find
the cost of the ingredients Eric needs for
one batch. How much would Eric need
for 2 batches
Calculate the distance between the points J = (- 2, - 1) and A = (3, - 7) in the coordinate plane Round your answer to the nearest hundredth
Answer:
The distance between the points is 7.81 (to the nearest hundreth)
Step-by-step explanation:
The distance formula between two points in the coordinate plane is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Put,
[tex]J(x_1,y_1)=(-2,-1)\\A(x_2,y_2)=(3,-7)[/tex]
Hence,
[tex]d=\sqrt{(3-(-2))^2+(-7-(-1))^2} \\d=\sqrt{(3+2)^2+(-7+1)^2} \\d=\sqrt{5^2+(-6)^2} \\d=\sqrt{25+36} \\d=\sqrt{61} \\d=7.810[/tex]
Whats the answer to it i can't figure it out
Answer:
-0.1
...............................
If a metallic cylinder having volume 1540 cm^3 is melted to form cylinder having height 10 cm what is radius of cylinder
Answer:
radius is 7 cm
Step-by-step explanation:
formular for volume:
[tex]V = \pi {r}^{2} h [/tex]
r is radius
h is height
[tex]1540 = 3.14 \times {r}^{2} \times 10 \\ {r}^{2} = 49.0 \\ r = 7 \: cm[/tex]
Henry is planning a trip to Mexico. He figures his expenses for his trip will be around 25,000 pesos. He has $1000 US dollars saved. Does he have enough money for his trip? (One US dollar = 20.26 Mexican pesos).
Answer:
of course he doesn't....or Maybe he does let's go ask Henry
17/3x + 17 - 2/3x - 15
Could use help on this math problem
Answer:
78
90
86
96
09
Step-by-step explanation:
80
90
90
OK LA sir I will complete my work as soon as possible LA thank you la madam My name is now signing off
A rectangle has a length of 29 yards less than 9 times it’s width. If the area of the rectangle is 9418 square yards, find the length of the rectangle
Answer:
Step-by-step explanation:
w = w
L = 9*w - 29
Area = L*w
area = 9418
w * (9w - 29) = 9418
9w^2 - 29w - 9418 = 0 This monster factors, believe it or not
(9w + 277)(w - 34) = 0
9w + 277 =0
9w = - 277
w = -30.777778
w - 34 = 0
w = 34
The length = 9w - 29
L = 9*34 - 29
L = 306 - 29
L = 277
Check
Area = L * w
Area = 277 * 34
Area = 9418 just as it should.
Plzzz helppppp!!!!!!!!! 20+PTS and brainliest!!!!!!!!!!
Is the graph in the picture a function or not a function?
Please explain.
Answer:
THis is a function.
Step-by-step explanation:
If you draw a straight line vertically, it won't intersect more than one point of the line. This is called the vertical line test, and if the line you drew passes the line on the graph more than once, its not a function.
Yw, brainliest, and don't plagiarize, they'll catch you.
Marty's plant measured 6.75 inches at the beginning of the summer. It measured 8.375 inches at the end of summer.
How much did Marty's plant grow over the summer?
(1.)15.125
(2.)1.625
(3.)0.625
(4.) I don't know.
Answer:
1.625 inches
Step-by-step explanation:
i took the test on k12
Answer:
Marty's plant measured 6.75 inches at the beginning of the summer. It measured 8.375 inches at the end of summer.
How much did Marty's plant grow over the summer?
Step-by-step explanation:
The answer Is going to be 1.625
what is the solution to the equation below when solved for t
D=r/t
Answer:
t = r/D.
Step-by-step explanation:
[tex]\frac{r}{t} =D[/tex]
[tex]r = t * D[/tex]
[tex]t = \frac{r}{D}[/tex]
Hope this helps!
1 Which could be a reason viruses are considered nonliving things?
Viruses come from cells.
Viruses produce cells.
Viruses are made of DNA and proteins, but not cells.
Viruses can contain one or multiple cells.
Answer:
viruses can contain one or multiple cells
Answer:
This is science I believe but its D. Viruses can contain one or multiple cells.
Step-by-step explanation:
A motorcycle starts from rest . If its gain an acceleration of 2m/s^2 in 5 second , Calculate the final velocity.
✌✌✌✌
Using first equation of kinematics
[tex]\\ \sf\longmapsto v=u+at[/tex]
[tex]\\ \sf\longmapsto v=0+2(5)[/tex]
[tex]\\ \sf\longmapsto v=10m/s[/tex]
If 265 students are expected at the prom this year, estimate the maximum dance floor space needed?
Solve for K
20-6 + 4K =2-2k
Answer:
K = -2Step-by-step explanation:
20-6 + 4K =2-2k
=> 14 + 4k = 2 - 2k
=> 4k + 2k = 2 - 14
=> 6k = -12
[tex] = > k = \frac{ - 12}{6} [/tex]
=> K = -2 (Ans)
if 3 oranges cost 2 kobo. what is the cost of 54 oranges
Answer:
36kobos would be the cost of 54 oranges
What is the base and exponent of x^5
Answer:
The base is x and the exponent is 5.
Step-by-step explanation:
Hi there!
[tex]x^5[/tex]
The base is x and the exponent is 5.
x is raised to the exponent of 5.
I hope this helps!
once simplified, which of the expressions below have a value greater than -20?
Answer:
A, B, and C
Step-by-step explanation:
a). -6 ÷ 2 x 5 1/3
= -3 x 5 1/3
= -16
b). 24 ÷ (-3) + 1/2
= -8 + 1/2
= -7.5
c). 36 ÷ 4 x (-2)
= 9 x -2
= -18
d). -54 ÷ (-9) x (-3 2/3)
6 x -3 2/3
= -22