Answer:
h=2
Step-by-step explanation:
f is translated right 2 units (so h=2) and up 2 units (so k=2)
The value of h is 2.
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
A function f(x) when translated horizontally leads to the function g(x) which is equal to g(x) = f(x ± k) where k is the units to which the function is translated.
And the vertical translation leads to the function g(x) = f(x) ± k, where k is the units to which the function is translated.
Here the original function is, f(x) = 3ˣ.
The point corresponding to x = 0 in f(x) is x = 2 in g(x).
That is (0, 1) is translated to (2, 3).
f(x) is horizontally translated to the right.
3ˣ translates to 3ˣ⁻².
Hence the value of h is 2.
Learn more about Translations here :
https://brainly.com/question/29198392
#SPJ7
The first term of an A.P is -8.the ratio of the 7th term to the 9th term is 5:8.calculate the numbers
Answer:
The 7th term is 10 and the 9th term is 16
(and the common difference d = 3)
Step-by-step explanation:
If by calculate the numbers, you mean the 7th term and 9th term, first, you will determine the common difference.
The nth term of an A.P is given by the formula
Tₙ= a+(n-1)d
Where Tₙ is the nth term
a is the first term
and d is the common difference
From the question,
a = -8
T₇ : T₉ = 5:8
From the formula
T₇ = a + (7-1)d = a + 6d
and T₉ = a + (9-1)d = a + 8d
Then.
a + 6d : a + 8d = 5:8
But a = -8
∴ -8 + 6d : -8 + 8d = 5:8
We can write that
(-8 + 6d) / (-8 + 8d) = 5/8
Cross multiply
8(-8+6d) = 5(-8+8d)
-64 + 48d = -40 + 40d
48d - 40d = -40 + 64
8d = 24
d = 24/8
d = 3
∴ The common difference is 3
Now, for the 7th term
From
T₇ = a + 6d
T₇ = -8 + 6(3)
T₇ = -8 + 18
T₇ = 10
and for the 9th term
T₉ = a + 8d
T₉ = -8 + 8(3)
T₉ = -8 + 24
T₉ = 16
Hence, the 7th term is 10 and the 9th term is 16
Identify the vertex of the function f(x) = |x-^1/2|-2
the negative will shift the graph right, so x = 1/2
the negative 2 will shift the graph down, so y = -2
Thus, the vertex is (1/2, -2)
If why varies with the square of x and Y equals 24 when x equals 10 then the constant of proportionality is ____, and the value of y when x equals 20 is ____. Assume x is greater than or equal to 0. Select two answers
Answer:
Step-by-step explanation:
y varies with the square of x:
y = kx²
y equals 24 when x equals 10
24 = k·10²
constant of proportionality k = 0.24
when x = 20, y = 0.24·20² = 96
"select two answers" —where are the choices?
Please help i need the answer asap!!!
if you know the answer please give it to me as soon as you can!!
Answer:
Choice b.Step-by-step explanation:
Replace (x, y) with (1, 1) and verify if the equations are correct.
You would ignore the x and y in the equations. Testing one of each pair.
a. 3 + 2 = 3, incorrectb. 7 + 2 = 9, correctc. 8 + 1 = 7, incorrectd. 8 - 2 = 4, incorrectIt is obvious that only b. is correct.
help help......................................................................................
Hey there! Is there more text to this? I would love to help, but there is no question.
Given integers:
-22, -12, -8. -11. 7. 27, -14, 11 From these numbers determine the numbers whose values are:
a. less than -10
b. more than -5
d. between -15 and 15.
Answer:
373yeyehshshbdbddbdhshbdbd
Answer:
Hello,
Step-by-step explanation:
[tex]E=\{-22,-14,-12,-11,-8,7,11,27\}\\\\a) \{x \in E\ | x<-10\}=\{-22,-14,-12,-11\}\\\\b) \{x \in E\ | x > -5\}=\{7,11,27\}\\\\\\c) \{x \in E\ | -15 < x< 15\}=\{-14,-12,-11,-8,7,11\}[/tex]
Let f(x)=x^3-6x+3 i. find the domain of the function and f’(x) in the domain.
Domain of a any cubic function [tex]f(x)=ax^3+bx^2+cx+d[/tex] is defined to be always [tex]\mathbb{R}[/tex].
The derivative with respect to x of your cubic function is,
[tex]\dfrac{d}{dx}f(x)=f'(x)[/tex]
to find the derivative of a polynomial function, simply take a derivative of each factor and sum them up,
[tex]\dfrac{d}{dx}x^3=3x^2[/tex] by the rule [tex]\dfrac{d}{dx}x^m=mx^{m-1}[/tex] where [tex]m\in\mathbb{R}[/tex]
[tex]\dfrac{d}{dx}-6x=-6[/tex]
[tex]\dfrac{d}{dx}3=0[/tex]
So the derivative is,
[tex]f'(x)=3x^2-6[/tex]
both derivative and the original function have equal domain.
Hope this helps :)
Step-by-step explanation:
[tex]thank \: you[/tex]
write 342 to 1 significant figure
Answer:
300
Step-by-step explanation:
A significant figure is the most important (largest) number you can round it to.
As it wants 1 significant figure, you count 1 to the left and round the 4 down.
Hope this helps :)
solve the following equations
Answer:
x=0,5/2
Step-by-step explanation:
simplify using distributive property
2396 X 78 + 2396 X 22
Answer:
239600Step-by-step explanation:
2396 × 78 + 2396 × 22 =2396 × (78 + 22) =2396 × 100 =239600[tex]\boxed{\sf a(b+c)=ab+ac}[/tex]
[tex]\\ \sf\longmapsto 2396\times 78 +2396\times 22[/tex]
[tex]\\ \sf\longmapsto 2396(78+22)[/tex]
[tex]\\ \sf\longmapsto 2396(100)[/tex]
[tex]\\ \sf\longmapsto 239600[/tex]
plzz help me asap i need help picture below
Which line has a slope of -?
line d
line b
line a
line c
HELP PLEASE, WILL GIVE BRAINLYIST NOW
Answer:
Step-by-step explanation:
I think you got it correct. The reciprical of this function is y = x.
The midpoint of AB is (1.2). The coordinates of A are (-3, 6) Find the coordinates of B.
Answer: coordinates of B are (5,-2)
Step-by-step explanation:
let B be (x2,y2)
x1 = -3 y1 = 6
x = 1
y = 2
so
x = (x2 + x1)/2
1 = (x2+(-3))/2
or, 2 = x2 - 3
so, x2 = 5
now
y = (y2+y1)/2
or, 2 = (y2 + 6)/2
or, 4 = y2 + 6
so, y2 = -2
Volunteering: The General Social Survey asked 1309 people whether they performed any volunteer work during the past year. A total of 518 people said they did. Part: 0 / 30 of 3 Parts Complete Part 1 of 3 (a) Find a point estimate for the population proportion of people who performed volunteer work in the past year. Round the answer to at least three decimal places. The point estimate for the proportion of people who performed volunteer work in the past year is .
Answer:
The point estimate for the population proportion of people who performed volunteer work in the past year is 0.396.
Step-by-step explanation:
Point estimate of a proportion:
Proportion is the number of desired outcomes divided by the number of total outcomes.
518 out of 1309 people performed volunteer work:
This means that:
[tex]p = \frac{518}{1309} = 0.396[/tex]
The point estimate for the population proportion of people who performed volunteer work in the past year is 0.396.
The values of 9’s in 9905482
Answer:
9,905,482=
Million place
9,905,482=
one hundred thousandth
is f(x)=e^-3x an exponential function?
find a factor of 5, 15 and 25
a common factor of 5, 15 and 25 is 1 and 5
8. Write 3x3 – 21x2 + 36x in factored form.
3x(x - 4)(x - 3)
3x(x - 5)(x - 2)
3x(x + 6)(x + 2)
O
3x(x + 4)(x + 3)
Answer:
A
Step-by-step explanation:
3x^3 – 21x^2 + 36x=3x(x^2-7x+12)=3x(x - 4)(x - 3)
HELP ME PLEASE ANYONE FOR 20 POINTS
Answer:
The correct answer is no.B
HELP UUUURRRRRRRGGGGGEEEEEENNNNTTTTT PLLLLZZZZZ IM BAD AT MATHHHHHHHH
Answer:
-1 8/9
Step-by-step explanation:
w + ( - x)
w = -5/9
z = 4/3
Input:
-5/9 + ( -4/3)
-5/9 - 4/3
-4/3 * 3/3 = -12/9
-5/9 - 12/9 = -17/9 = -1 8/9
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
look at the image below
Answer:
4.2 mi²
Step-by-step explanation:
Volume of a cone = (1/3)πr²h, where r = radius and h = height
(1/3)πr²h
= (1/3)×π×1²×4
= 4π/3
= 4.2 mi² (rounded to the nearest tenth)
An unfair coin is flipped. If a head turns up you win $1. The probability of a head is .54 and the probability of a tail is 0.46. What is the expected value of the game
Answer:
54 cents
Step-by-step explanation:
(.54 * 1)+(.46*0) = .54
a students cost for last semester at her community college was $2100. She spent $336 of that on books. What percent of last semesters college cost was spent on books?
Answer:
16%
Step-by-step explanation:
To find the percent, take the cost of the books over the total
336/2100
.16
Multiply by 100 to change to percent
16%
Bà B đến ngân hàng ngày 05/05/2019 để gửi tiết kiệm 250 triệu đồng thời hạn 3 tháng, lãi suất 7%/năm, NH trả lãi định kỳ hàng tháng (kỳ lĩnh lãi đầu tiên là ngày 05/05/2019). Đến ngày 05/08/2019, bà B tất toán sổ tiết kiệm trên. Tính số tiền bà B nhận được vào ngày đáo hạn sổ tiết kiệm là? (Cơ sở công bố lãi suất là 365 ngày)
Answer:
Ask in English then I can help u
A can of lemonade holds one-third of a litre. How many litres are there in 100 can
Answer:
33 Litres
Step-by-step explanation:
Give the digits in the tens place and the tenths place.
97.42
Answer:
9: tens place
4: tenths place
Step-by-step explanation:
five sutracted from x is at most -21 translate the sentence into an inequality?
Explain FOUR reasons why the government charge indirect taxes
Answer:
spread over a wide range
cannot be evaded
Everyone can contribute
convenient
Step-by-step explanation:
Help me please guyss
Find the mean for the amounts: $17.482: $14.987: $13.587$14.500, $18.580. $14.993
Answer:
The mean of these numbers is 15.68816 with a repeating 6.
Step-by-step explanation: