Answer:
known facts:
The graph of y=f(x−a), a>0
y=fx-a, a>0
can be obtained by shifting graph y=f(x)
y=fx, a units right side of x-axis. The graph of y=f(x)+a, a>0 y= fx+ a,a>0
can be obtained by shifting graph y=f(x)
y=fx, a units upwards along y-axis.
Adrienne said:
a vertical stretch by a factor of 4, a horizontal shift to the left 1 unit and a vertical shift down 3 units of the graph of the parent function f(x)=ex
f(x)=e^x
produce the graph of the function g(x)=4ex−1+3
g(x)=4e^x-1+3.
by the above known facts, it can be concluded that
Adrienne is not correct
Step-by-step explanation:
i hope this helps you, i'm still doing it but i have to go for a min, one sec! <3
the correct transformations for the function g(x) = 4eˣ - 1 + 3 from the parent function f(x) = eˣ are:
- Vertical Stretch by a factor of 4.
- Horizontal Shift to the Right 1 unit.
- Vertical Shift Down 3 units.
Adrienne's statement about the transformations applied to the parent function f(x) = eˣ is not entirely correct. Let's analyze the given function g(x) = 4eˣ - 1 + 3 and determine the correct transformations.
1. Vertical Stretch by a factor of 4: This transformation is correct. Multiplying the function by 4 causes a vertical stretch, which magnifies the y-values by a factor of 4.
2. Horizontal Shift to the Left 1 unit: Adrienne incorrectly mentioned a horizontal shift to the left. In the given function, g(x), there is no explicit horizontal shift. The -1 in g(x) = 4eˣ - 1 + 3 is actually a reflection of the graph across the y-axis, causing a horizontal shift to the right by 1 unit. So, there is a horizontal shift to the right by 1 unit, not to the left.
3. Vertical Shift Down 3 units: This transformation is correct. Adding 3 to the function shifts the graph vertically downward by 3 units.
Therefore, the correct transformations for the function g(x) = 4eˣ - 1 + 3 from the parent function f(x) = eˣ are:
- Vertical Stretch by a factor of 4.
- Horizontal Shift to the Right 1 unit.
- Vertical Shift Down 3 units.
Learn more about transformations here
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What is the slope of the line that passes through the points (-3, 1)(−3,1) and (7, -14)(7,−14) in the simplest form?
Answer:
1
Step-by-step explanation:
x2 minus x1 over y2 minus y1
Answer:
-3/2
Step-by-step explanation:
-15/10 = -3/2 when you simplify
Evaluate
3/4•1/2
A.3/8
B.4/6
C.2/12
D.1/6
Answer: (A) 3/8
Step-by-step explanation:
3/4*1/2
3/4*2
= 3/8
Answer:
The correct answer is A.3/8
Step-by-step explanation:
According to the PEMDAS operations (parentheses, exponents, multiplication, division, addition, and subtraction) you must do multiplication before division. In order to do that we must change the equation to look like this: 3 x 1 / 4 x 2. Which would give you your answer of 3/8.
Hope it helps!
Three consecutive odd integers sum to 15. What are the integers?
6x10^5 is how many times as large as 3x10^3?
the answer would be 200 times as large
6x10^5=600000
3x10^3=3000
600000/3000=200
Answer:
200 times
Step-by-step explanation:
Jung-Soon has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and
mini-notebooks cost $1.50 each. Write a linear equation that can be used to determine how many of
each prize she can buy.
Answer:
1.25x + 1.5y=25
Step-by-step explanation:
let the number of lip balms that can be bought be x and the notebooks be y then their total cost is 1.25x + 1.5y. The total $25 there for the equation becomes 1.25x + 1.5y=25.
The required linear equation can be used to determine how many of each prize she can buy is 1.2x + 1.50y = 25.
Given that,
Jung-Soon has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and mini-notebooks cost $1.50 each. Write a linear equation that can be used to determine how many of each prize she can buy is ot be determined.
The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
Let the number of lip balm that can be purchased be x, and the number of mini notebooks purchased be y,
according to the question,
1.2x + 1.50y = 25
Thus, the required linear equation can be used to determine how many of each prize she can buy is 1.2x + 1.50y = 25.
Learn more about equations here:
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I need HELLLPPPPP. A student bought concert tickets online. The total cost, c, in dollars, of t tickets can be
found using the function below.
c(t) = 87.50t + 12.50
If the student spent a total of $800 on tickets, how many tickets did she buy?
+/-
Answer:
The answer is 9.
Step-by-step explanation: Things to know: c is total cost and t tickets. 800 is the total cost so plug it in to c. You want to get t (tickets) alone.
original: c(t)=87.50t+12.50
Now with the 800: 800=87.50t+12.50
Subtract 12.50 to both sides: 787.5=87.50t
Divide 87.50 to both sides: 9=t
Hopefully this helped. :]
Will give major points! and brainliest answer! to someone who gives a good answer!
Answer:
A. 2(3x+15) + 2(6x+6) = 96
B. x=3
Step-by-step explanation:
A. The original equation would be (3x+15) + (6x+6) + (3x+15) + (6x+6)
Step 1: you can simplify this to 2(3x+15) + 2(6x+6) because there are two of each of each equation.
Step 2: The question says that the perimeter equals 92, and because it is an equation, you should put =92 at the end.
B. Step 1: You should solve out each question separately, so 2(3x+15) = 6x + 30. This is because 2 × 3x = 6x and 2 × 15 = 30.
2(6x+6) = 12x + 12 because 2 × 6x = 12x and 2 × 6 = 12.
Step 2: Add the two: 6x + 30 + 12x + 12
6x + 12x = 18x and 30 + 12 = 42.
Step 3: Now we have a new equation: 18x + 42 = 96
Solve this like a normal equation. (Subtract 42 from both sides to get 18x = 54. Then divide by 18 on each side. This will give you x=3)
what is this fraction as a decimal?
draw a hexagon of equal sides and unequal angles
Answer:
This is a picture of a hexagon of equal sides and unequal angles.
Six out of 40 is equivalent to
Answer:
3/20
Step-by-step explanation:
distance between -6.5 and -9.1 show work pls
Answer:
2.6 is the distance
Step-by-step explanation:
9.1 - 6.5 = 2.6
Is the line x=-3 parallel to the line y=1/3
Answer:
No, The line x = 3 is not parallel to the line y = 1/3
Step-by-step explanation:
Here's What the graph looks like on Demos graphing calculator.
High Hopes^^
Barry-
Please Help Me ASAP!!!
Everything you need is in the picture attached.
Joe walks 12 miles
every 4 trips to
school. How many
miles will Joe walk
after 6 trips?
Answer: 18 miles
12 ÷ 4 = 3. So, we must multiply 3 by 6 to find how much Joe walks for 6 trips to school.
-------------------------------------------------------------------------------------------------------------------------
Now, we must multiply the number 6 by 3.
6 x 3 = 18
-------------------------------------------------------------------------------------------------------------------------
Answer = 18
Answer:
18 miles
Step-by-step explanation:
We can write ratios to solve
12 miles x miles
---------- = ------------
4 trips 6 trips
Using cross products
12 *6 = 4x
72 = 4x
Divide by 4
72/4 = 4x/4
18 miles
7% decrease on a £6500 car.
he pays 12 every month
Answer:
£6045?
Step-by-step explanation:
LM= x+32 LN=3x-10 find MN
Answer:
32+(-10)
Step-by-step explanation:
i beleive thats what it is
A line passes through the points (1, 4) and (3,-4). Which is the equation of the line?
Oy--4x+8
O y = -2x + 6
o y--*x+2
o y = 2x + 2
Answer:
Y=-4x+8
Step-by-step explanation:
y2-y1/x2-x1
This wil give you slope.
((-2,3) and (4,7)
what is the distance of this
Answer:
Step-by-step explanation:
(-2, 3 ) ; (4 , 7)
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]=\sqrt{(4-[-2])^{2}+(7-3)^{2}}\\\\=\sqrt{(4+2)^{2}+(7-3)^{2}}\\\\=\sqrt{6^{2}+4^{2}}\\\\=\sqrt{36+16}\\\\=\sqrt{52}\\\\=\sqrt{2*2*13}\\\\=2\sqrt{13}[/tex]
Use estimation to chose the correct value for this expression 5.1 X 2
Answer:
10.2
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Help me plz!!! I give brainliest
Answer:
i hope u accidentally hit the X and it doesn't save your work
Step-by-step explanation:
HURRYY I HAVE 2 MINS LEFTTTTTT
Before making invitations, katrina counted the supplies she bought for her party. She counted 36 water balloons and 81 beads to make bracelets. She then needed to decide how many invitations to make.
A. 6
B. 7
C. 9
D. 10
Absolute value
|3x-4|= |3x-5|
Answer: 3/2 or 1.5
Hope this helps
Answer:
The x value where both are equal is 1.5
Step-by-step explanation:
Graphed both, only point where the 2 functions intersect is at (1.5, 0.5)
Write the equation in slope-intercept form of the line given that the slope of the line is 5 and the line passes
through the point (3, 4)
Answer:
let's go...
Step-by-step explanation:
We should use this function to find the standard form the line :
[tex]y - y(given \: point) = (gradient) \times ( \: x - x(g \: p) \: ) \\ y - 4 = 5 \times (x - 3) \\ y - 4 = 5x - 15[/tex]
subtract the sides of the equation plus 4
[tex]y = 5x - 15 + 4 \\ y = 5x - 11[/tex]
And we're done buddy.
good luck ♥️♥️♥️♥️♥️.
Let f (x) = 1 - 2x + 3x3 and g(x) = 6 + 7x?. For f (x) · g(x), what is the coefficient of the x term?
А.-14
B.4
C.7
D.21
E.18
Can some one help? I need help asap.
Answer:
8x² - 27x + 20
Step-by-step explanation:
Given
4x(2x - 3) - 5(3x - 4) ← distribute both parenthesis
= 8x² - 12x - 15x + 20 ← collect like terms
= 8x² - 27x + 20 ← in standard form
Answer:
-19x+20
Step-by-step explanation:
So we need to simplify this the first step is
4x(2x-3) The first part of the equation
4x(2x) - 4x(3)
8x -12x
-4x
then the second part
-5 (3x-4)
-5(3x)+20
-15x+20
add togeter
-4x-15x
-19x
-19x+20
There are 133 students and 15 teachers going on a field trip. Each bus can hold a maximum
of 24 people. What is the fewest number of buses required for the field trip?
1. 7
2. 5
3. 4
4. 6
Answer:
7
Step-by-step explanation:
pls help me i dont get it :(
Answer:
7.alternate interior
x=64
8. same side interior
x=12
same side exterior
x=12
Answer:
7. x = 648. x = 129. x = 12Step-by-step explanation:
7. alternate angle or opposite angle are equal
128 = 2x
x = 128 / 2
x = 64
8. interior angles = 180
180 = 72 + (7x + 24)
180 - 72 - 24 = 7x
x = 84 / 7
x = 12
9. same side angle = 180
180 = 65 + (11x - 17)
180 - 65 + 17 = 11x
x = 132 / 11
x = 12
ten subtructed from a number
10
Answer:
0
Step-by-step explanation:
10 - 10 = 0
Answer:
Step-by-step explanation:
Let the number be x
∴ x − 10
plz mark as brainliest
jada earned $50 babysitting and plans to use the money to go to the fair l.admission to the fair is $5 and each ride is $2.50.while at the fair she buys a funnel cake for $3.what is the maximum number of rides jada can ride?
Answer:
The maximum number of rides is 16
Step-by-step explanation:
She has a total of $50 and spends $3 for the cake and $5 for admission. She has to spend $2.50 for every ride.
Your equation would be set up as:
$50=$5+$3+$2.50x
You would combine like terms and get
$50=$8+$2.50x
Subtract the $8 from $50 and you get
$42=$2.50x
Divide each number by 2.50 and you get
16.8=x, you cannot have a decimal as an answer since she cannot ride eight tenths of a ride so the maximum number of rides is 16
.Un baúl de 10,5 kg está apoyado en el suelo.Si se tira de él verticalmente hacia arriba con una fuerza de 52,9 N, determina el valor de lanormal.
Respuesta: 50N
Explicación paso a paso:
Dado lo siguiente:.
Tensión (T) = 52,9 N
Masa (m) = 10,5 kg
La normal se obtiene usando la relación:
N = mg - T; donde N = normal, g = aceleración debida a la gravedad (9,8 m / s²)
N = mg - T
N = (10,5 * 9,8) - 52,9
N = 102,9 - 52,9
N = 50 N
Answer:
hey ¿How are you?
Step-by-step explanation:
bye