Answer:
g(x) = e^(x + 2) + 2
Step-by-step explanation:
First, let's describe the shifts.
Vertical shift.
For a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
If N is positive, then the shift is upwards.
If N is negative, then the shift is downwards.
Horizontal shift.
For a function f(x), a horizontal shift of N units is written as:
g(x) = f(x - N)
If N is positive, the translation is to the right
If N is negative, the translation is to the left.
Now let's solve the question.
f(x) = e^x
First, we have a vertical shift up of 2 units, then:
g(x) = f(x) + 2
Now we have a shift to the left of 2 units:
g(x) = f(x - (-2)) + 2
g(x) = f(x + 2) + 2
Then:
g(x) = e^(x + 2) + 2
If an equation has two roots -4 and 7, what could be the
quadratic equation?
Answer:
f(x) = x^2 - 3x - 28
Step-by-step explanation:
The root -4 corresponds to the factor (x + 4); the root 7 corresponds to (x - 7). The equation is thus f(x) = (x + 4)(x - 7) = x^2 - 3x - 28, or
f(x) = x^2 - 3x - 28
What is the probability of a blue jay being the next bird papa sees?
Answer:
A) 0.421
Step-by-step explanation:
[tex]\frac{59}{59+68+12+1} =\frac{59}{140}[/tex]
[tex]Answer:0.421[/tex]
----------------------
hope it helps...
have a great day!!
Aight so I got a grade of 44% on my module 6 exam... the assignment is worth 80 points and my grade is a 94.45%. I'm waiting on 2 unfinished essays. How much will this bring down my grade?
Answer:
It depends how many points you already have
Step-by-step explanation:
how much are the essays worth? i might be able to get your final score if you tell me
Jacqueline had $.84 her brother gave her another $.61 write the amount of money Jacqueline now has as a decimal explain
Answer:
$1.45
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Money already had = $.84
Brother gave = $.61
So, total money Jacqueline has = Money already had + Brother gave money
= $.84 + $.61
= $1.45
Explanation : Total money Jacqueline has will be the total of the sum of the money she already had and the money her brother gave him.
A person swims 11 miles
downriver in the same time
they can swim 7miles
upriver. The speed of the
current is 4 mph, find the speed of the person in still water
PLEASE HELP ASAP!! I WILL GIVE BRAINLIEST. Coleen read 159 pages of a book. This number represents 75% of the number of pages in the book. What is the total number of pages in the book.
Is (10, –6) a solution to this system of equations? ASAP PLS IM IN CLASS
11x + 19y = –4
3x + 8y = –18
Answer:
Yes.
Step-by-step explanation:
(10, -6) are the values to substitute in for x and y, respectively.
11(10) + 19(-6) = 110 - 114 = - 14
3(10) + 8(-6) = 30 - 48 = -18
hii please help asap ill give brainliest thanks
Answer: Job catagory.
The populations of two cultures of bacteria, A and B, after x hours are shown below. Which statement is a correct comparison of bacteria A and bacteria B?
Answer:
(c)
Step-by-step explanation:
Given
See attachment for A and B
Required
Compare A and B
First, we get the initial population of A and B.
The initial population is at when [tex]t =0[/tex]
From the table of bacteria A, we have:
[tex]Initial = 100[/tex] when [tex]t = 0[/tex]
From the graph of bacteria B, we have:
[tex]Initial = 75[/tex] when [tex]t = 0[/tex]
Since the initial of bacteria B is less than that of bacteria A, then (a) is incorrect.
Next, calculate the slope of A and B i.e. the rate
Slope (m) is calculated as:
[tex]m = \frac{y_2 - y_1}{t_2 - t_1}[/tex]
Where
y = Number of bacteria
t = time
For bacteria A:
[tex](t_1,y_1) = (0,100)[/tex]
[tex](t_2,y_2) = (2,140)[/tex]
So, the slope is:
[tex]m_A = \frac{140 - 100}{2 - 0}[/tex]
[tex]m_A = \frac{40}{2}[/tex]
[tex]m_A = 20[/tex]
For bacteria B:
[tex](t_1,y_1) = (0,75)[/tex]
[tex](t_2,y_2) = (1,100)[/tex]
So, the slope is:
[tex]m_B = \frac{100- 75}{1 - 0}[/tex]
[tex]m_B = \frac{25}{1 }[/tex]
[tex]m_B = 25[/tex]
Since [tex]m_B > m_A[/tex], then the rate of bacteria B is greater than that of bacteria A.
Hence, (d) cannot be true
Next, we determine the equation of both bacteria
This is calculated using:
[tex]y = m(t - t_1) + y_1[/tex]
For bacteria A, we have:
[tex]y = m_A(t - t_1) + y_1[/tex]
Where:
[tex](t_1,y_1) = (0,100)[/tex]
[tex]m_A = 20[/tex]
So:
[tex]y = 20(t - 0) +100[/tex]
[tex]y = 20(t) +100[/tex]
[tex]y = 20t +100[/tex]
For bacteria B, we have:
[tex]y = m_B(t - t_1) + y_1[/tex]
Where:
[tex](t_1,y_1) = (0,75)[/tex]
[tex]m_B = 25[/tex]
So:
[tex]y = 25(t - 0) + 75[/tex]
[tex]y = 25(t) + 75[/tex]
[tex]y = 25t + 75[/tex]
At 3 hours, the population of bacteria A is:
[tex]y = 20t +100[/tex]
[tex]y = 20* 3 + 100[/tex]
[tex]y = 60 + 100[/tex]
[tex]y = 160[/tex]
At 3 hours, the population of bacteria B is:
[tex]y = 25t + 75[/tex]
[tex]y=25 * 3 + 75[/tex]
[tex]y=75 + 75[/tex]
[tex]y=150[/tex]
After 3 hours, bacteria B is 150 while A is 160.
This implies that (c) is correct because the population of B is less than that of A, at 3 hour
Lastly, to check if they will ever have equal population or not, we simply equate both equations.
So, we have:
[tex]y = y[/tex]
[tex]25t + 75 =20t + 100[/tex]
Collect like terms
[tex]25t - 20t = 100 - 75[/tex]
[tex]5t = 25[/tex]
Solve for t
[tex]t = 25/5[/tex]
[tex]t = 5[/tex]
They will have equal population at 5 hours.
Hence, b is incorrect
From the above computation, only (c) is correct
An 18 kg weight is lifted up to 12 m in height and then released in free fall. What are the potential energy, kinetic energy and total energy at: The highest point? 3 m above the ground? At the ground?
Answer:
1) at the highest Point
KE= 0 PE=2116.8 N
2) 3 m above the ground
PE= 529.2 N KE=1587.6 N
3) at the ground
KE= 2116.8 N and PE=0
Step-by-step explanation:
The potential energy is given by
PE= mgh where m is the mass , g is the acceleration due to gravity which is equal to 9.8 m/s² and h is the height.
The kinetic energy is given by KE= 1/2 mv² where m is the mass of the body and v is the velocity.
1) at the highest Point
Now at the highest point the velocity is zero
KE= 1/2 mv²
KE= 0
PE = mgh
PE= 18 *9.8* 12= 2116.8 N
Total Energy = KE + PE= 0 + 2116.8 N= 2116.8 N
2) 3 m above the ground
At 3 m above the ground
PE= mgh
PE= 18 *9.8* 3= 529.2 N
According to law of conservation of energy the total energy ( sum of KE and PE) remains the same at every point.
Total Energy = KE + PE
2116.8 N-529.2N= 1587.6N
KE=1587.6 N
3) at the ground
at the ground the height will be zero
PE= mgh
PE= 18 *9.8* 0= 0 N
According to law of conservation of energy the total energy ( sum of KE and PE) remains the same at every point.
Total Energy = KE + PE
2116.8 N=2116.8 N + 0
KE= 2116.8 N
or
KE= 1/2 mv²
KE = 1/2* 18 *(15.36)²= 2116.8
please help me people
Answer:
122.5 cm²
Step-by-step explanation:
a = 21cm
b = 14cm
h = 7cm
Area of given figure(trapezium) = [tex]\frac{a+b}{2} * h[/tex]
= 21 + 14/ 2 * 7
= 35/2 * 7
= 17.5 * 7
= 122.5 cm²
Identify the terms and coefficients of each expression.
7 + 8p - 2^r g^2- 14h + 10
terms: terms:
coefficients : coefficient:
Cesar does the same number of push-ups everyday. On day 7 he had done a total of 35 push-ups. How many push-up does Cesar do each day? If he continues at this rate, how many total push-ups will he have done on day 10?
Answer:
first question
5 push-ups a day
second question
50 push-ups
Step-by-step explanation:
First, you must divide 35 divided by 7 because if Cesar does the exact same amount of push-ups a day, you can divide the total number of push-ups by how many days. Which gets you your first answer 5.
Then you multiply the number of days by the number of push-ups Cesar does in a day.
10 x 5 = 50
Question below...15 points.
Answer: i think its c
Step-by-step explanation:
but im not totally sure
Answer:
B. s = 9 inches
Step-by-step explanation:
We are given a square with a perimeter of 36 inches, along with a key that the perimeter is given through the equation P = 4s, where "s" stands for the length of one side. We are then asked to find which number s is.
Perimeter is when you add 4 sides altogether, in our case we have 36 inches as our perimeter. Since 4s is the main factor as to how we got 36 inches, we need to set up one system equation.
P = 4s
36 = 4s
Now we need to find a number that multiplies with 4 to get us 36, simple as that. Let's get s alone to retrieve our answer :
36 = 4s
Divide 4 from both sides :
9 = s
s = 9
What is the angle through which the pendulum oscillates between two maximum positions?
Answer:
does this help
Step-by-step explanation:
What is the maximum angle of a pendulum?
Paul Appell pointed out a physical interpretation of the imaginary period: if θ0 is the maximum angle of one pendulum and 180° − θ0 is the maximum angle of another, then the real period of each is the magnitude of the imaginary period of the other.
11. A rectangle has a diagonal of length 10 units and one side of length 6 units.
How many units long is the perimeter of the rectangle?
The required perimeter of the rectangle is 28 units.
The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
Here,
Let's denote the length of the rectangle as L and the width as W. We know that the diagonal of the rectangle has a length of 10 units, and we can use the Pythagorean theorem to relate the length, width, and diagonal,
L² + W² = diagonal² [= 10² = 100]
We also know that one side of the rectangle has a length of 6 units, which we can assume is the width W. Therefore, we can solve for the length L,
L² + 6² = 100
L² = 100 - 36
L² = 64
L = 8
So the length of the rectangle is 8 units.
To find the perimeter of the rectangle, we can use the formula P = 2L + 2W, where L is the length and W is the width:
P = 2(8) + 2(6)
P = 16 + 12
P = 28
Therefore, the perimeter of the rectangle is 28 units.
Learn more about rectangles here:
brainly.com/question/15019502
#SPJ2
I need help please!!
Answer:
1
Step-by-step explanation:
sike i lied this is so easy pls try pls
Which measurements could not represent the side lengths of a right triangle?
F 25 feet, 60 feet , 65 feet
G 9 feet, 12 feet, 15 feet
H 20 feet, 25 feet, 30 feet
12 feet, 35 feet, 37 feet
Expand and simplify 2(x+3y)+5(2x+y)
Answer:
Step-by-step explanation:
2(x+3y)+5(2x+y)
2x + 6y + 10x + 5y
Solving like terms
12x + 11y
What percent of the ninth graders scored above an 87?
HELP PLEASEEEEEEEEEEEEEEEEEEEEE
Answer:
22%
Step-by-step explanation:
A numbered dice has sides labeled 1 to 8. What is the probability of landing on a number greater than 3?
Answer:
5/8
Step-by-step explanation:
(2.5) . (1.4) *The dot stands for x*
Answer:
3.5 is the the answer if it is 2,5 × 1,4
otherwise it is 40 if (2×5) × (1×4)
Answer:
3.5
Hope that this helps!
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
A
Step-by-step explanation:
3RD TIME ASKING PLS HELP
The angles surrounding the point p are 90 degrees
Then using the angle given, find the missing angles.
JPH = 90
HJP = 49
90+49 = 139
180 - 139 = 41
Therefore JHP = 41
HLP = HJP = 49
HLP = 49
KLP = 72
KLP + HLP = 72 + 49 = 121
Therefore, HLK = 121
LP = JP = 16
JP = 16
HL = HJ = 13
HL = 13
Hope this helps! =)
What are the factors of the product represented below?
A. (4x + 1)(2x+3)
B. (2x+ 1)(4x+3)
c. (4x + 2)(3x + 1)
D. (8x + 1)(x+2)
Chris bought a card for 35¢. He
gave the clerk 6 coins. What coins
did he give the clerk?
Can someone please help me out
Answer:
7. The Puerto Rican Parrot's are the limiting factor in this scenario. 8. Yes because the hurricanes are limiting the Parrots population. 9. Other ways species can be limited because of the weather are either any natural disasters.
Step-by-step explanation:
Hope this helped : )
HELP PLEASE WILL MARK Brainliest. 20 POINTS!!
Answer:
Step-by-step explanation:
9 square + 4 square = c Square
81 + 16 = c Square
98 = c square
98 Square root = c
The answer is Acan you choose me brainliest?
What is the area of this kite? A) 20 square meters
B) 36 square meters
C)40 square meters
D) 80 square meters
Answer:
D
Step-by-step explanation:
Answer:
C. 40 square meters
Step-by-step explanation:
The area for a kite can be figure out with this formula. pq/2. Substitute p for 8 & q for 10.
A = pq/2 {Substitutions made}
A = (8 * 10)/2 {Multiply 8 by 10 to get 80.}
A = 80/2 {Divide 80 by 2 to get 40.}
A = 40 square meters
The area of this kite of 40 square meters, which is C.