Answer:
2016
Step-by-step explanation:
To solve this problem, let us find the prime factors of the given numbers:
96
8 x 12
2 x 2 x 2 2 x 2 x 3
2⁵ x 3
144
12 x 12
2 x 2 x 3 2 x 2 x 3
2⁴ x 3²
126
2 x 63
2 7 x 9
2 3 x 3 x 7
2 x 3² x 7
So, the lowest common multiple = 2⁵ x 3² x 7 = 2016
HELP PLZZ ASAP WILL GIVE 50 POINTS
Adrienne said that 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 produce the graph of the function g(x)=4ex−1+3. Explain whether Adrienne is correct and, if not, determine the transformations that produce the graph of the function g(x)=4ex−1+3 from f(x)=ex.
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
https://brainly.com/question/26896273
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What is 18.75 divided by 1 and 1/2
Answer: 12.5
18.75/1 ½ = 12.5
Please read where it states “point S is in between points R and T” thank you
Answer:
RS: 26
ST: 40
Step-by-step explanation:
RS + ST = RT
3x - 16 + 4x - 8 = 60
3x + 4x - 16 - 8 = 60
7x - 24 + 24 = 60 + 24
7x = 84
7x / 7 = 84 / 7
x = 12
---------------------------------------
RS
3x - 16
3 (12) - 16
36 - 16
20
---------------------------------------
ST
4x - 8
4 (12) - 8
48 - 8
40
----------------------------------------
RS + ST = RT
20 + 40 = RT
60 = RT
— 3х - 6 +(-1)
Helpp
Can anybody help me?
Answer:
[tex] - 3x - 5[/tex]
it should be this answer bcause it has been simplified
Evaluate 6y - 2 by substituting each value for y.( show working out)
A) y= 1/3 B) y= 2.5
Answer:
A) 0
B) 13
Step-by-step explanation:
A) 6*1/3=2, 2-2=0. 6(1/3)-2=0
B) 6*2.5=15, 15-2=13. 6(2.5)-2=13
Help me and explain please I’m struggling
is the perpendicular bisector of a line a line segment also an angle bisector
Answer:
no
Step-by-step explanation:
Given the point and its image, determine the scale factor.
B(2,5) B'(1,2.5)
1/3
1/2
2
0 1
Answer:
it would be 2
Step-by-step explanation:
What is the value of y?
y - 12
56
#
Choice
A.
56°
B.
1120
C.
440
D.
68°
9514 1404 393
Answer:
D. 68°
Step-by-step explanation:
The sum of angles in a triangle is 180°, so ...
y° +(y-12)° +56° = 180°
2y = 136
y = 68
The angle marked y° is 68°.
What is the least integer value in the solution set to log3(8x – 37) > 5?
34
35
36
37
Answer:
36 or C
Step-by-step explanation:
Got it right on edgenuity
Answer:C, 36
Step-by-step explanation:
just took the unit test edge2022
Last year, Gena’s food cart business was $225 in debt. This year, the debt has tripled. Which expressions show how much Gena’s business is currently in debt? Check all that apply.
225(3)
(3)(–225)
–225 + 3
3 – 225
–225(3)
(3)(–225)
–225 + 3
3 – 225
–225(3)
Answer:
(3)(-225) and -225(3).
Step-by-step explanation:
First, since ¨in debt¨ is describing negative value, all of the expressions that have positive 225 is incorrect. Also, since the term ¨triple¨ is describing multiplcation, any expression that does not have multiplication is also incorrect. This process of elimination leads to two answers, which both are correct.
Answer:
A. 225(3)
B. (3)(–225)
C.–225 + 3
D. 3 – 225
E. –225(3)
Step-by-step explanation:
Edge 2021
Solve for x show work 4(x+1)=-3x-10
Answer:
x= -2
Step-by-step explanation:
4x+4=-3x-10
7x+4=-10
7x=-14
x=-2
10x+8= 5x -4
Pleaseeee help
Step-by-step explanation:
Here's the answer I hope it will help u
What is the slope of the line graph?
Answer:
The slope of the line graph is (12,-6)
Step-by-step explanation:
If you start at the bottom point and go up you will count 12. Then, if you go 0ver until you get to the top point you will count 6. Since you are going back, it would be a -6.
which of the following shows why 6 1/3 is equivalent to
Answer:
equivilent to what?
Step-by-step explanation:
Please help me with this is my last question
Answer:
a
Step-by-step explanation:
Answer:
A
........................
What is the value of x?
Answer:
31 degrees
Step-by-step explanation:
149 + 149 = 298
360 - 298 = 62
62 / 2 =31
Answer:
61 degrees
Step-by-step explanation:
you know that there is a strait line which is equal to 180. So if you subtract 149 from 180 you get 31 which is the angle included with x. therefore you subtract your total number, which is 92 by 31 and you get 61 degrees
15 points :) ill mark BRAINIEST
Answer:
7 = 7x - 48
Step-by-step explanation:
Use point slope formula: y - y1 = m(x - x1)
Find slope:
(8 -(-6)) / (8 - 6)
14/2
m = 7/1
Subsitute x1 and y1, solve for y.
y - 8 = 7(x - 8)
y - 8 = 7x - 56
y = 7x - 48
Find the area of triangle DEF with vertices D(-1,2), E(3,-2) and F(-2,-2).*
Answer:
The area of the triangle DEF is 10.
Step-by-step explanation:
Area of a Triangle:
A triangle of base B and height H (both must be perpendicular) has an area of:
[tex]\displaystyle A=\frac{BH}{2}[/tex]
The image below shows the triangle formed by the points DEF. It's important to notice the points E and F lie on the same horizontal line because they both have the same y-coordinate.
This fact simplifies the calculations since we can easily compute the length the of base as the difference of their x-coordinates:
B=3-(-2)=3+2=5
Being the base of a horizontal line, the height of the triangle can be calculated as the difference of y-coordinates of D and the height of that line.
H=2-(-2)=4
With these two values, we calculate the area:
[tex]\displaystyle A=\frac{5*4}{2}=10[/tex]
The area of the triangle DEF is 10.
1. What is the area of the shape?
6cm
4cm
2cm
3cm
Use complete sentences to describe the inverse of a function. ( I'm doing inverse functions with sin and inverse sin or arcsin idk)
Answer:
The relation found by interchanging the range and the domain of a given function.
Step-by-step explanation:
Calculate the following using the Density Formula: What is the volume of the Ms. Gonsalez's phone that he dropped in his sink, if the mass of the phone is 12.4 g and the density is 6.2 g/mL? *
Answer:
2 mL³
Step-by-step explanation:
Use the density formula, D = m/v, where m is the mass and v is volume.
Plug in the mass and density, then solve for the volume:
D = m/v
6.2 = 12.4/v
6.2v = 12.4
v = 2
So, the volume is 2 mL³
A ball held 2.0 meters above the floor has 59 joules of potential energy. The ball’s mass
the answer3
Answer:
Step-by-step explanation:
potential energy=mgh
59=m×9.8×2
19.6 m=59m=59/19.6≈3.01 gram
Identify the domain and range of the following function:
{(8,7),(4,9),(0,0),(1,17)}
Answer:
Domain: 8,4,0,1
Range: 7,9,0,17
Which of the equations shown have infinitely many solutions?
Select all that apply
A 3x - 1 = 3x + 1
B. 2x - 1 = 1 - 2x
C3x - 2 = 2x - 3
D. 3(x - 1) = 3x - 3
E. 2x + 2 = 2(x + 1)
E 3(x - 2) = 2(x-3)
Answer:
D. 3(x-1) = 3x-3
Step-by-step explanation:
I'm sure that's the answer
Answer:
D and E
Step-by-step explanation:
50 points if you answer correctly
Answer:
[tex]f(3) = {3}^{2} + 5(3) - 9 \\ f(3) = 9 + 15 - 9 \\ f(3) = 15[/tex]
Answer:
1. D. 15
2. A. 3
3. A. c= 6g+5
4. A. All real numbers
5. D
Evaluate 26 + a if a = 8.
Answer:
34
Step-by-step explanation:
26 + 8 = 34
insert 8 into the equation where a is and add.
Which two operations are needed to write the expression that represents "four times the difference of a number and
three"?
multiplication and subtraction
O division and subtraction
O multiplication and addition
division and addition
Answer:
A:) multiplication and subtraction
Step-by-step explanation:
twelve is no more than the sum of -1.5 times a number w and 4
Answer:
w < -5.33333
Step-by-step explanation:
Step 1: Write inequality
12 < -1.5w + 4
Step 2: Solve for w
Subtract 4 on both sides: 8 < -1.5wDivide both sides by -1.5: -5.3333 > wRewrite: w < -5.33333Here we see that any value smaller than -5.3333 will work.
I need help please
