If the graph of the function moves to the right two units what is the new vertex of the function
Answers
Answer:
Let's talk through this a one step at a time.
*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.
*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.
*At this point, f(x-5) has its vertex at (5,0).
*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]
*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence
Related Questions
6 – [ - 2( - 3 – 5)] =
Answers
Answer:
-10
Step-by-step explanation:
Using PEMDAS start in the inside (-3-5) = -8 then -2(-8) = 16 then the final step
6 - 16 = -10
Answer:
-3 - 5= -8
-2 x -8= 16 (2 negatives make a positive when multiplied)
6-16= -10
factorise p-q-x(q-p)
Answers
Answer:
(1 + x)(p - q)
Step-by-step explanation:
Given
p - q - x(q - p) ← distribute parenthesis by - x
= p - q - qx + px ← rearrange terms in p and terms in q
= p + px - q - qx ( factor first/second terms and third/fourth terms )
= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term
= (1 + x)(p - q)
if the force of an object is 100N and the mass is 25Kg, what is the acceleration?
Answers
Answer:
4ms-²
Step-by-step explanation:
Applied Force=100N
Mass of the object=25Kg
Let the acceleration be 'a'.
Force=Mass*Acceleration
100=25*a
100/25=a
4=a
Law of sines problem, please help. solving for x
Answers
Answer:
x = 62.9° (3 sig. fig.)
Step-by-step explanation:
Simply by using the cos law,
cosx = (1.3² + 2.1² - 1.9²)/2(1.3)(2.1)
x = 62.9° (3 sig. fig.)
PLEASSSEEEE HELPPPP
WXYZ has vertices W(6,2), X(3,7), Y(-1,4), and Z(4,-2)
a)Find perimeter
b)Find the perimeter of the image of WXYZ after dilation of 1/2 centered at origin and compare it to perimeter of WXYZ
Answers
Answer:
23,11333753
Step-by-step explanation:
1. Use The Coordinates To Find The Distances Of The Four Sides
2. The Formula For Perimeter Or A Quad =
AB + BC + CD + AD
Basically Add The Distances Of The Four Sides
So: WX + XY + YZ + WZ
[tex] \sqrt{34} + 5 + \sqrt{61} + 2 \sqrt{5} [/tex]
= 23,11333753
.°. 23,1
b.????
We can write the parameter as -
P = 23.13P = 11.55What is a quadrilateral?In geometry a quadrilateral is a four-sided polygon, having four edges and four corners.
Given is that WXYZ has vertices W(6, 2), X(3, 7), Y(-1, 4), and Z(4, -2).
The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 - dimensional plane, the distance between points (x₁, y₁) and (x₂, y₂) is given by the Pythagorean theorem -{d} = √{(x₂ - x₁)² + (y₂ - y₁)²}
{ a } -
WX = 5.83
XY = 5
YZ = 7.8
ZW = 4.5
So the perimeter would be -
P = WX + XY + YZ + ZW
P = 5.83 + 5 + 7.8 + 4.5
P = 23.13
{b} - After the dilation, the sides will become -
WX' = 5.83/2 = 2.9
XY' = 5/2 = 2.5
YZ' = 7.8/2 = 3.9
ZW' = 4.5/2 = 2.25
The perimeter will be -
P = WX' + XY' + YZ' + ZW'
P = 2.9 + 2.5 + 3.9 + 2.25
P = 11.55
Therefore, we can write the parameter as -
P = 23.13P = 11.55To solve more questions on dilations, visit the link below -
brainly.com/question/12413243
#SPJ5
The width of a rectangle is one less than one third of the length. The perimeter of the rectangle is 78 cm. What are the dimensions of the rectangle?
Answers
Answer:
26
Step-by-step explanation:
just use a calculator or search it up
A culture of bacteria has an initial population of 330 bacteria
and doubles every 8 hours.
what is the population of bacteria in the culture after 17 hours,
to the nearest whole number?
Answers
Answer:
1439.4702≈1439
Plz help will give brainliest!
Answers
Answer:
8.7
Step-by-step explanation:
please helps
Which function represents this sequence?
A.
f(n) = 4 ∙ 2n-1
B.
f(n) = 4n-1
C.
f(n) = 2 ∙ 4n-1
D.
f(n) = 2n-1
Answers
Answer: A. f(n) = 4 ∙ 2n-1
Step-by-step explanation:
because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.
3a=1
What is a equal to?
Answers
Answer:
1/3
Step-by-step explanation:
3a = 1
/3 /3
a = 1/3
Answer:a
a= one third or 1/3
3 times 1/3 = 1
Step-by-step explanation:
what is equvalint to 1/2a-4
Answers
Your parents are buying a new car for $15,000. They pay 6.25% sales tax . How much do they pay for the car including tax
Answers
Answer:
$15,937.50
Step-by-step explanation:
15000 × 1.0625 = 15937.5
Cant seem to figure out the answer help?
Answers
Answer:
The surface area is 900cm^2
Step-by-step explanation:
Multiply 3 and 10 to get 30
Then square 30 by multiplying 30 x 30, to get 900.
Answer:
The Surface of the area is 30.
Step-by-step explanation:
Multiply 3 and 10. And you get 30. Hoped this helped : )
Write the equation of a line in slope-intercept form with a slope of 2 and
passes through the point (-3,1)
Answers
Answer:
y = 2x + 1
Step-by-step explanation:
Hope this helps!
x/7=1/4
please help will give brainlest
Answers
Answer:
x=7/4
Step-by-step explanation:
cross multiply and divide both sides
To lease his car, Greg had to pay a $1000 down payment, plus $250 per month. Write an equation that represents the total amount paid. DO NOT PUT ANY SPACES IN YOUR ANSWER.
Answers
Answer:
250x+1000
Step-by-step explanation:
The linear equation that represents the total amount paid is 1000 + 250x.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
A formula known as an equation uses the same sign to denote the equality of two expressions.
As per the given,
Amount of down payment = $1000
Per month payment = $250
For x number of months = $250x
Total paid = 1000 + 250x
Hence "The linear equation that represents the total amount paid is 1000 + 250x".
For more about the equation,
brainly.com/question/10413253
#SPJ5
Please help I an desperate
Answers
Answer:
A
Step-by-step explanation:
Draw an angle of 15° like this (∠) on a piece of paper, label this angle J, extend the base of the triangle and label the hypotenous 11cm (JK). Do you get the solution now? If no, here is an explanation.
This problem can be explained with sin law,
[Assume KL = 4cm]
(sin15)/4 = (sinL)/11
L = 45.4° or 135° (3 sig. fig.)
Since we got 2 possible case for the angle L, there are two possible set of triangles. Hope this will help you understand more about the problem, comment below if you still have any questions.
HELP
Write an equation of the line in slope intercept form using the graph below.
Answers
Find two positive consecutive integers such that the square of the first added to three times the second is 24
Answers
Answer:
3 and 5
Step-by-step explanation:
Let the two consecutive odd integers be x and x + 2.
Now,
The given statement is
[tex]x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6[/tex]
Taking x=3.
Hence, two consecutive odd integers are 3 and 5.
5. Arianna purchased a house for $156,000 and obtained a mortgage for $147,700. She purchased 2 discount points and 3 origination points. What is the cost for each? (3 points)
discount: $2,954; origination: $4,431
discount: $3,120; origination: $4,680
discount: $4,431, origination: $2,954
discount: $4,680; origination: $3,120
Answers
Step-by-step explanation:
who has the problem gdjjsjegggshdgghdvdvvrbdhjlalalsleir
If john works 20 hours a week and gets a fixed amount of 4 dollars for the first 8 hours and an additional 2 dollars for each additional hour, how much money does he make?
Answers
8H = $4 x 8.... 32
12 x $2 = $24
$32 + $24 = $56
What is 25=10+w. I need it ASAP ROCKY
Answers
Answer:
W=25-10=15..........
Help help help help help help
Answers
Answer:
volume = 160 cm³
Step-by-step explanation:
volume = 4 x 4 x 10 = 160 cm³
4x4x10 = 160
Cm^3 is the unit for volume
13 (3) = ???
Please help ant get the answer for nothing...
Answers
Answer:
39
Step-by-step explanation:
13 x 3?
Write an equation of a parabola opens upwards and has vertex (7, - 6).
Any help?
Answers
Answer:
f(x) = x² - 14x + 43
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (7, - 6 ) , then
f(x) = a(x - 7)² - 6
Since the parabola opens upwards then a > 0
let a = 1
f(x) = (x - 7)² - 6 ←in vertex form
f(x) = x² - 14x + 49 - 6
f(x) = x² - 14x + 43 ← in standard form
Jenny wants to buy an MP3 player that costs $30.98. Write an equation so find how much change (x) she receive if she gives the cashier $40. *
Answers
Answer:
40.00-30.98=x
12
11
10
9
8
4
3
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9 10 11 12
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11
-12
Answers
Answer:
You didn't say what the question was
Answer: 3
Step-by-step explanation:
factor out the gcf from each polynomial 30x^2-18x^3+6x^4
Answers
Answer:
43
Step-by-step explanation:
Mr. Ford Invested $12,450 in a bank at 7.25% per annum simple interest for 6 years. calculate the interest he was paid
Answers
Answer:
If my calculations are correct, $5415.75 of interest was paid throughout 6 years.
Step-by-step explanation:
7.25% of 12,450 is 902.625.
If the interest being paid was the 7.25% of 12,450 throughout the 6 years then the answer is 902.625 x 6 ( the amount of years ) = $5415.75.
In other cases such as 7.25% of the new number of invested money after the loss of 902.625 then this answer is wrong, but I solved as I understood.
Hope this helps.
The drama club is ordering t-shirts for its members. A local t-shirt company charges $83.95 to set up the design plus $7.45 for each shirt. The drama club has budgeted $300 to spend on t-shirts.
Write an equation that you could solve to find the maximum number of shirts the drama club can order. Be sure to define your variable.
Answers
Answer:
The max # of shirts they can order is 29
Step-by-step explanation:
300 = 83.95 + 7.45x
216.05 = 7.45x
x = 29
Answer:
Step-by-step explanation:
83.95+7.45= 91.4
so they have
300
- 91.4
--------
208.6
so after they still have money left
