Answer:
Avery is right, because [tex]g(x) = f(x)+2[/tex].
Cindy is right, because [tex]g(x) = f(x+1)[/tex].
Step-by-step explanation:
Let [tex]f(x)[/tex] and [tex]g(x)[/tex] functions, then [tex]g(x)[/tex] is the vertical translated version of [tex]f(x)[/tex] if and only if:
[tex]g(x) = f(x)+k[/tex], [tex]\forall \,k\in \mathbb{R}[/tex]
[tex]k = g(x)-f(x)[/tex]
If we know that [tex]f(x) = 2\cdot x + 1[/tex] and [tex]g(x) = 2\cdot x + 3[/tex], then:
[tex]k = (2\cdot x + 3) - (2\cdot x +1)[/tex]
[tex]k = 2[/tex]
Then, Avery is right, because [tex]g(x) = f(x)+2[/tex].
Let [tex]f(x)[/tex] and [tex]g(x)[/tex] functions, then [tex]g(x)[/tex] is the horizontal translated version of [tex]f(x)[/tex] if and only if:
[tex]g(x) = f(x+k)[/tex], [tex]\forall \,k\in \mathbb{R}[/tex]
If we know that [tex]f(x) = 2\cdot x + 1[/tex] and [tex]g(x) = 2\cdot x + 3[/tex], then:
[tex]g(x) = 2\cdot x + 3[/tex]
[tex]g(x) = 2\cdot x + 2 + 1[/tex]
[tex]g(x) = 2\cdot (x+1)+1[/tex]
[tex]g(x) = f(x+1)[/tex]
Then, Cindy is right, because [tex]g(x) = f(x+1)[/tex].
Which ordered pair can be removed so that the resulting graph represents a function?
(–2, 2)
(1, 3)
(5, –4)
(–4, –4)
Answer:
(1,3)
Step-by-step explanation:
can yall please help me i need this now
Answer:
74
Step-by-step explanation:
The question is Find the constant of proportionality in the graph below
Answer:
4.5
Step-by-step explanation:
HELPPPP PLEASE!!!!!!
Answer:
y = 20Step-by-step explanation:
line RPN = 180 = 4y - 10 + 90 + y
180 - 90 + 10= 5y
100 = 5y
y = 100/5
y = 20
7. The graph of a polynomial function is shown.
a. Is the degree of the polynomial odd or even? Explain how you know.
b. What is the constant term of the polynomial?
9514 1404 393
Answer:
even-4Step-by-step explanation:
When the end behavior is the same sign on the left and the right, the degree is even. This polynomial is of even degree.
The y-intercept is the constant term: -4. (All the other terms are zero when x=0.)
someone help simplify it
Answer:
a+11b/3
Step-by-step explanation:
Answer:
3 and 2/3b + 1a
Step-by-step explanation:
Simplifying b:
4b - 1/3b = 11/3b = 3 and 2/3b
Simplifying a:
-5a + 6a = 1a
(03.01 LC)
The leg of a right triangle is 3 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle? (1 point)
Question 1 options:
1) The square root of 5
2) The square root of 7
3) 5
4) 7
Question 2 (1 point)
Saved
(03.01 LC)
What is the length of the hypotenuse of a right triangle if each of the two legs is 7 units? (1 point)
Question 2 options:
1) Square root of 14
2) 7
3) The square root of 98
4) 49
Answer:
√7 units, √98 units
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2. So 9+b^2=16. So b^2=7. So b=√7
a^2+b^2=c^2. SO 49+49=c^2. So 98=c^2. So c=√98.
Answer:
√7 units, √98 units
Step-by-step explanation:
Starting from the same place a plane took 1 hr longer to fly 705 mi to Atlanta, than to fly 470 mi to New Orleans. If the plane flew at the same rate for the entire trip, what was the flying time for the shorter leg? a. 1 2 hr c. 1 1 2 hrs b. 1hr d. 2 hrs
Answer: d. 2 hrs
Step-by-step explanation:
Let x = Time taken(in hours) to fly 470 mi to New Orleans. (Shorter leg)
Then Time taken to fly 705 mi to Atlanta= x+1 (longer leg)
Since the plane flew at the same rate for the entire trip.
i.e. Speed 705 mi to Atlanta = Speed to fly to New orleans
[tex]\Rightarrow\ \dfrac{705}{x+1}=\dfrac{470}{x}\ \ \ \ \ \ \ [\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}]\\\\\Rightarrow\ 705x=470(x+1)\\\\\Rightarrow\ 705x=470x+470\\\\\Rightarrow\ 705x-470x=470 \\\\\Rightarrow\ 235x=470\\\\\Rightarrow\ x=\dfrac{470}{235} \\\\\Rightarrow\ x=2[/tex]
hence, the flying time for the shorter leg = 2 hours
So (d) is the correct option.
what is the simplified form of the fraction 7/28
Answer:
1/4
Step-by-step explanation:
7 divided by 24 = 4 so it gets reduced to 1 and then 1/4
The solution is: 1/4 is the simplified form of the fraction 7/28.
Here, we have,
given that,
the fraction is: 7/28
now, we divide each fraction numerator and denominator by a common divisor of them,
here, we know that,
7 * 1 = 7
7*4 = 28
so, the gcf of 7 and 28 = 7
we divide each fraction numerator and denominator by a common divisor 7,
we will get:
7/28 = 1/4
7 divided by 28 = 4 so it gets reduced to 1 and then 1/4.
Hence, The solution is: 1/4 is the simplified form of the fraction 7/28.
To learn more on fraction click:
brainly.com/question/10354322
#SPJ6
Each angle of the equilateral triangle in the figure has measure (2x – 9)°. Determine the value of x.
A) x = 25.5
B) x = 34.5
C) x = 69
D) x = 60
Answer:
34.5
Step-by-step explanation:
An easy way to find this out is plug in all the answers into our equation until we get 180. So here's what you do:
A) X=25.5
So put that in the equation replacing x like this : 2(25.5)-9 =42 then multiply by three which = 126, So, A) is not our answer, now do it with the rest until you get 180,
2(34.5)-9=60 60x3=180 so your answer will be the number you plug in aka:34.5
Hope this helps you understand the topic a little better <3
SI Unit is used for scientific work why?
Answer:
SI is used in most places around the world, so our use of it allows scientists from disparate regions to use a single standard in communicating scientific data without vocabulary confusion.
Multiply. Answer with a mixed number in simplest form
2 1/5 x 3 4/7
Answer:
7.85714285714
Explanation:
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A river is at -150 ft below sea level. A nearby mountain has an elevation of +1350 feet. If Tina hikes from the river to the top of the mountain, how many feet has she hiked?
From the river to sea level would be -150 to 0 = 150 feet.
From sea level to the top of the mountain would be 0 to 1350 = 1350 feet.
Total feet = 150 + 1350 = 1,500 feet
PLEASE HELP ASAP I WILL BRAINLIEST
Answer:
32 minutes and 30 seconds.
Step-by-step explanation:
3 hours = 180 minutes, plus 15 added = 195 so 195 ÷ 6 = 32.5 or 32 mins and 30 seconds
Answer:
32.5 minutes
Step-by-step explanation
60x4-45/6
at buffalo mild wings the price of chicken wings depends on the number of wings that you order plot the ordered pairs from the table
Answer:
No
Step-by-step explanation:
It is not because 8/5 16/8 is not proportional. If it were to be proportional it would be 8/5 and 16/10 NOT 16/8
Denis orders a large pizza for $16.50 plus $2 for each topping. Sheng orders a medium pizza for $13.25 plus $2 for each topping.
Their bills will never be the same because the toppings cost the same.
Question must probably wants to know the number of toppings it would take for their bills to be equal.
Assume the number of toppings is x, Dennis's bill will be:
= Cost of Pizza + Cost of toppings x number of toppings
= 16.50 + 2x
Sheng's bill will be:
= 13.25 + 2x
Equate their bills to find the number of toppings that would equate their costs:
16.50 + 2x = 13.25 + 2x
16.50 - 13.25 ≠ 2x - 2x
3.25 ≠ 0
In conclusion, their bill will never be the same because the toppings are the same price.
Find out more at https://brainly.com/question/5607279.
Simplify to create an equivalent expression. 617 - 3y) + 6(y + 1)
Answer:
623+3y
Step-by-step explanation:
You distribute the 6 then you add the ys and the numbers together
Can someone help me!
Honeydew melons are on sale at four different grocery stores. Which store
offers the lowest unit rate for honeydew melons, in dollars per pound?
$3.50
Happy Grocery:
7 pounds
.
sto
• Sullivan's:
5 pound
• Mother Nature:
$4.00
10 pounds
• Farmer's Pride: $0.45/pound
Answer:
Mother Nature
Step-by-step explanation:
Do you want one? Prolly will waste my time sorry :(
Answer:I would think c but let me check
Step-by-step explanation:
Find the value of f(-3).
Answer:
It's 27
Step-by-step explanation:
just points for whomever help me
Answer:
with what do you need help with your life
Step-by-step explanation:
The graph of the function B is shown below. If B(x) = -1, then what is x?
1
2
-1
Answer:
x = 2
Step-by-step explanation:
B(x) = - 1 means what is the value of x for y = - 1
This is the dot positioned at (2, - 1 )
with x = 2
Answer: its the first one
Step-by-step explanation:
hope thats what your lookinf for
A new car is purchased for 24600 dollars. The value of the car depreciates at 5.5% per year. To the nearest year, how long will it be until the value of the car is 11300 dollars?
Answer:
The number of years until the value of the car is 11300 dollars is 9 years.
Step-by-step explanation:
This can be calculated using the following formula:
Value of the Car = Purchase cost - (Annual depreciation expenses * N) ........ (1)
Where;
N = Number of years until the value of the car is 11300 dollars
Purchase cost = $24,600
Annual depreciation rate = 5.5%
Annual depreciation expenses = $24,600 * 5.5% = $1,353
Value of the car = $11,300
Substituting the value into equation (1) and solve for N, we have:
$11,300 = $24,000 - ($1,353 * N)
$1,353 * N = $24,000 - $11,300
$1,353 * N = $12,700
N = $12,700 / $1,353
N = 9.38654841093865
Rounding to the nearest year as required by the question, we have:
N = 9
Therefore, the number of years until the value of the car is 11300 dollars is 9 years.
Answer:
14
Step-by-step explanation:
A triangle is translated by using the rule (X.Y) =(x-4.y+1). Which describes how the figure is moved?
2
four units left and one unit down
O four units left and one unit up
one unit right and four units down
O one unit right and four units up
Pls help me out I give u a cookie
Answer:
C. Division property of equality
Step-by-step explanation:
Both sides of the equal sign are divided by 10, which clearly means that the division property should be applied here.
Answer:
divison property of equality is the reason
hope it helps you
all poets are loners. All loners are taxi drivers. therefore, all poets are taxi drivers
is this valid or invalid?
Answer:valid
Step-by-step explanation:
What is the equation of a line that has a slope of 2/5 and passes through the
point (-5,5)? *
Answer:
y = 2/5x + 7
Step-by-step explanation:
substitute 2/5 in for m and (-5,5) in for (x,y) respectively to find the y intercept
y=mx+b
5 = 2/5(-5) + b
5 = -2 + b
add 2 to both sides to solve for b (y intercept)
b = 7
therefore the equation for the line will be...
y = 2/5x + 7
Help Really quick
The table shows data collected from 14 people.
Shoe Size, x 8.5 9 9 9.5 10 10 10.5 10.5 11 11 11 12 12 12.5
Height (inches), y 66 68.5 67.5 70 70 72 71.5 70 71 71.5 73 73.5 74 74
Determine the correlation coefficient for the data. Round to the nearest hundredth.
r=
Answer:
i need the answer ;(
Step-by-step explanation:
(Please help!!) Arnold is paid a graduated commission on sales. He earns 7% on sales up to $10,000 and 10% on sales over that amount. His goal is to make $2,500 next month. How much will he need to sell?
Answer:
Step-by-step explanation:
10000*7%= $700.00
2500-700=1800
1800 is 10% of 18,000
So 18,000 +10,000 = 28,000 in sales is needed to get $2,500 in commission.
Graph a scatter plot using the given data.
Answer:
Here is the answer.
Step-by-step explanation:
ty and his 3 brothers share a pizza equally what is the fraction
Answer:
If they all get an equal slice, 1/4.
Step-by-step explanation: