Answer:
Options C and D.
Step-by-step explanation:
The given functions are
[tex]f(x)=2^{x-6}+3[/tex]
[tex]g(x)=2^{x-3}+2[/tex]
We need to find the transformation from f(x) to g(x).
Now, write the function g(x) in the form of f(x).
[tex]g(x)=2^{x+3-3-3}+2+1-1[/tex]
[tex]g(x)=[2^{(x+3)-6}+3]-1[/tex]
[tex]g(x)=f(x+3)-1[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] .... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (1) and (2), we get
[tex]a=3>0[/tex], so graph shifts 3 units left.
[tex]b=-1<0[/tex], so graph shifts 1 unit down.
Therefore, the correct options are C and D.
Find the slope-intercept form of an equation for the line that passes through (–1, 2) and is parallel to y = 2x – 3.
Question 2 options:
a)
y = 2x + 3
b)
y = –0.5x – 4
c)
y = 2x + 4
d)
y = 0.5x + 4
Answer:
c) y= 2x +4
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient.
Gradient of given line= 2
m= 2
y= 2x +c
To find the value of c, substitute a pair of coordinates into the equation.
when x= -1, y=2,
2= 2(-1) +c
2= c -2
c= 2 +2
c= 4
Thus, the equation of the line is y= 2x +4.
Please help me with my Algebra. :)
Answer:
[tex]\mathrm{D}[/tex]
Step-by-step explanation:
[tex]6x+5y=-2[/tex]
[tex]6(-2)+5(2)=-2[/tex]
[tex]-12+10=-2[/tex]
[tex]-2=-2[/tex]
[tex]\mathrm{Hence,\:it\:is\:true.}[/tex]
Answer:
A
Step-by-step explanation:
Rewrite the function by completing the square
f(x) = 2x^2+3x-2
f(x)= ____ (x+___)^2+____
Answer:
Step-by-step explanation:
To complete the square, we need to add and subtract a constant term that will allow us to write the function in the form f(x) = a(x + h)^2 + k. Here's how we can rewrite f(x) = 2x^2 + 3x - 2 using completing the square:
f(x) = 2x^2 + 3x - 2
First, we factor out the coefficient of x^2:
f(x) = 2(x^2 + (3/2)x) - 2
Next, we take half of the coefficint of x and square it, then add and subtract it inside the parentheses:
f(x) = 2(x^2 + (3/2)x + (3/4)^2 - (3/4)^2) - 2
Simplifying the expression inside the parentheses:
f(x) = 2[(x + 3/4)^2 - 9/16] - 2
Expanding the brackets and simplifying:
f(x) = 2(x + 3/4)^2 - 17/8
Therefore, f(x) = 2x^2 + 3x - 2 can be written in the form f(x) = 2(x + 3/4)^2 - 17/8.
Hope that helps
Solve 13+x>11. Enter your answer as an equality
Answer:
x>-2
Step-by-step explanation:
13+x>11
Subtract 13 from each side
13-13+x>11-13
x>-2
What is the leading coefficient and constant of this equation?
(8r^3 + 2r^2 + 1) - (7 - 7r^3 +3r^2)
Answer:
The leading coefficient is 15
The constant is -6
Step-by-step explanation:
So first open up all the parentheses:
[tex]8r^3+2r^2+1-7+7r^3-3r^2 = 15r^3-r^2-6[/tex]
The leading coefficient is 15
The constant is -6
Help please if you answer you get 25 points
Answer:
8.9
Step-by-step explanation:
Use Pemdas or Bedmas ( Brackets, Exponents, Division, Multiplication, Addition, Subtraction.
First add 4.5 and 7.6, you get 12.1
Now do the division, 8/2.5 = 3.2
Lastly you subtract, 12.1-3.2 = 8.9
What is the square root of m^6?
M^2
M^3
M^4
M^5
Answer:
m³
Step-by-step explanation:
√m⁶=m⁶/²=m³
Answer:
[tex] {m}^{3} [/tex]
Step-by-step explanation:
[tex] \sqrt{ {m}^{6} } \\ \sqrt{m \times m \times m \times m \times m \times m} \\ {m \times m \times m} \\ = {m}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
2 Points
Which of the following is a geometric sequence?
O A. 2,5, 7, 12, 19
B. 2, 4, 8, 16, 32
C. 3, 6, 9, 15, 24
O D. 6, 13, 20, 27, 34
Answer:
b and d
Step-by-step explanation:
Which figure has a greater volume and by how much?
3 cm
3 cm
5 cm
5 cm
8 cm
6 cm
15 cm
15 cm
Figure 1
Figure 2
The volume of figure 1 is 45 cm greater than the volume of figure 2.
The volume of figure 2 is 45 cm greater than the volume of figure 1.
The volume of fioure 1 is 10mg areater than the volume of figure 2
Answer:
Step-by-step explanation:
The volume of figure 1 is 45 cm greater than the volume of figure 2.
The volume of figure 2 is 45 cm greater than the volume of figure 1.
The volume of fioure 1 is 10mg areater than the volume of figure 2
Find the following trigonometry values
cos (150*) = ?
sin (150*) = ?
Answer:
see explanation
Step-by-step explanation:
cos150°
= - cos(180 - 150)°
= - cos30°
= - [tex]\frac{\sqrt{3} }{2}[/tex]
-------------------------
sin150°
= sin (180 - 150)°
= sin30°
= [tex]\frac{1}{2}[/tex]
The trigonometric values for cos(150°) and sin(150°) are -√3/2 and 1/2, respectively.
How to find trigonometry values?To find the trigonometric values of cos(150°) and sin(150°), we can use the unit circle and the angle sum formulas.
cos(150°):
We know that cos(180° - θ) = -cos(θ). Therefore, we can rewrite cos(150°) as cos(180° - 30°). Since cos(30°) = √3/2, we have:
cos(150°) = -cos(30°) = -√3/2.
sin(150°):
We know that sin(180° - θ) = sin(θ). Therefore, we can rewrite sin(150°) as sin(180° - 30°). Since sin(30°) = 1/2, we have:
sin(150°) = sin(30°) = 1/2.
Learn more about trigonometric values on:
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helpp me plz
thank you in advance
Answer:
1/4
Step-by-step explanation:
3 and 6 are both multiples of 3, so there is a 2/8 chance of spinning a multiple of 3, which can be simplified to 1/4.
Please help me with this
Answer:
Bottom left
Step-by-step explanation:
For it to be scalene, all 3 sides must be of different length, so cross off D. Acute means all angles are less then 90°, so cross off the top 2.
what is the difference for -22 - (-26)
______________________________
Hey!!!
-22-(-26)
= -22+26
= 4
So the answer is 4.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
____________________________
-22 - (-26) = -22+26=4
So the answer is 4
If this helped mark me as brainliest plss
Hope this helps! Good luck!!
The diagram below shows a balanced hanger.
Which of the changes would keep the hanger in balance? Select all that apply.
a. Adding two circles on the left and a square on the right
b. Adding 2 triangles to each side
c. Adding two circles on the right and a square on the left
d. Adding a circle on the left and a square on the right
e. Adding a triangle on the left and a square on the right
Answer:
a. b. c.
Step-by-step explanation:
As per picture one square= 2 circles
To keep balance same amount to be added to both sides
a. Adding two circles on the left and a square on the right
yesb. Adding 2 triangles to each side
yesc. Adding two circles on the right and a square on the left
yesd. Adding a circle on the left and a square on the right
noe. Adding a triangle on the left and a square on the right
no
Which is not an equation of the line going through (3,-6) and (1,2)?
O A. y-2 = -4(x - 1)
O B. y=-4x + 6
O C. y+ 6 = -4(x-3)
O D. y-1 = -4(x-2)
Answer:
B
Step-by-step explanation:
☺
Chris deposited $445 in an account that earns 3.4% compounded annually. Find the balance in his account after 6 years.
Answer:
$535.78
Step-by-step explanation:
First find out the annual earnings. So multiply 3.4% by 445
0.034 x 445 = 15.13
That's what the account earns every year. Now multiply it by 6 to know what it'll get in 6 years.
15.13 x 6 = 90.78
Now add that to the initial value.
90.78 + 445 = 535.78
That's the balance in the account after 6 years...
$535.78
A box of 120 crayons contains variations of three
colors: blue, red, and purple. The ratio of blue
crayons to red crayons is 11:2, and the ratio of the
number of red crayons to purple crayons is 2:7. If
all of the purple crayons were removed, how many
crayons would be left in the box?
E. 16
F. 42
G. 78
H. 113
Answer:
G. 78
Step-by-step explanation:
Blue to red=11:2
Red to purple=2:7
Total crayons =120
Total ratio
=11+2+7
=20
Blue=11
Red=2
Purple=7
Purple crayons
=Ratio of purple /Total ratio× Total crayons
=7/20×120
=42
If all the purple crayons were removed
=Total crayons - purple crayons
=120-42
=78
Use the given D to find the range of each function: e f(x)=x−4, D={−2, −1, 3}
PLS HELP!!! URGENT
Answer: R={-6,-5,-1}
Step-by-step explanation:
If D= -2
substitute x for -2
f(x)= -2-4=-6
then do that for the rest
5/6 of ______= 35 brainly
Answer: 42
Step-by-step explanation: 35 divided by 5=7 so 35+7=42
what is the HCF of 98 and 42
Which ordered pair is a solution of the equation y=2x+5
A. (3,11)
B. (2,7)
C. (1,6)
Answer:
A(3,11)
Step-by-step explanation:
[tex]y = 2x + 5[/tex]
[tex]2×3 = 6[/tex]
[tex]6 + 5 = 11[/tex]
WILL MARK BRAINLIEST! 20 PTS
Answer:
8: +4
9: *3 + 5
10: *(-9)+1
11: *(-8)
Answer:
8. Y=x+4, 11. y= X (x) -8
Step-by-step explanation:
Unsure about 9 and 10
Steven paid $52 in sales tax. The retail price of the item was $966. What is the sales tax percentage?
Answer:
5.38%
966/52 = 0.05383022774
Step-by-step explanation:
5.38 can also be 5.4%
As proved.
We can write this as 52>52.2
To find 52>52.49 we only have to divide it by the larger number.
52.49/966 = 0.05433747412
or multiply to check.
966 x 0.054 = 52.164 sales tax = 5.4% paid
966 x 0.053835 = 52.00461 = 5.38 % paid
Both these amounts or in-between would be sales tax percentage
But exact would be 5.38%
Answer:
5.383%
Step-by-step explanation:
To find what percent a part is of a number, divide the part by the number and multiply by 100%.
part = 52
number = 966
percent = 52/966 * 100% = 5.383%
Find the volume of a sphere, in cubic centimeters whose radius is 3
centimeters.
Answer:
113.1
Step-by-step explanation:
V=4
3πr3=4
3·π·33≈113.09734
Find two consecutive whole numbers that square root 2 lies between.
Answer:
1 can be written as √1 and 2 can be written as √4 and because 1 < 2 < 4, our answer is 1 and 2.
Which expression represents 10 in rational exponent form?
A. 10
B. (3)
C. 101/2
D. 102/1
E. 102
Answer:
its b i checked it
Step-by-step explanation:
The equivalent rational exponent form of the expression [tex]\sqrt{10}[/tex] is [tex]10^{\frac{1}{2}[/tex].
What are surds and indices?We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,
The other type of radicals are indices where a number is raised to such power that is greater than one.
We know the square root of a number indicated the number has been raised by half.
Given, An expression [tex]\sqrt{10}[/tex].
So, The rational form of the expression [tex]\sqrt{10}[/tex] should be [tex]10^{\frac{1}{2}[/tex].
learn more about radical expressions here :
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(3+4x)(3-4x)=
THIS IS SO HARD IM GOING CRAZY !!!!!!!!!!!!
Step-by-step explanation:
Actually, it isn't that hard. Remember the difference of squares? (a + b)(a - b) = a² - b² and in this case 9 is a and 4x is b so our answer is 81 - 16x².
Answer:
9 - 16x²
Step-by-step explanation:
(3+4x)(3-4x)= 3²- (4x)²= 9 - 16x²
A gym charges $45 per month and a $75 one-time starting fee. Which of these
will show how much it costs to join the gym for one year?
Answer:
y=45x+75
Step-by-step explanation:
The x represents the months and the one time fee is added
Only one QUESTION I NEED HELP SO BAD I WILL MOST DEFINITELY GIVE BRAINLIEST AND 30 POINTS PLEASE IT'S DUE TODAY
Answer:
We cannot have a single point of solution
Step-by-step explanation:
When the boundary lines are parallel, we can have no solution, or infinite solutions. We cannot have a single point of solution
Answer:
I believe there is no single solution
Solve the following equation. Then place the correct number in the box provided. 7x/15-1=22
x=?
Answer:
44
Step-by-step explanation:
First you have to make sure that you move everything from one side to the other and set the equation equal to zero. Then you have to simplify the equation as much as you can so you get:
x/14
7 * (x/14)
eventually you get
(x-22)/2 =0
from there you can solve for 44
