Consider function fbelow.
f(t) = 4* - 6
Determine function g which is created by shifting the graph of function fup 5 units.
O A.g(x) = 98 - 6
OB.g(x) = 4(x+5)-6
O C.g(x) = 44.1
OD.g(x) = 4x + 5
Answers
Answer:
Step-by-step explanation:
For this case we have a function of the form:
f (x) = 4 ^ x-6
We want to move the graph five units up.
Therefore, the new function is given by:
g (x) = f (x) +5
Substituting we have:
g (x) = 4 ^ x-6 + 5
Rewriting the function:
g (x) = 4 ^ x-1
Answer:
The new function is given by:
g (x) = 4 ^ x-1
option C
Click to let other
The function g which is created by shifting the graph of function f up 5 units is given by [tex]g(x) = 4^x - 1.[/tex]
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To shift the graph of function f up 5 units, we need to add 5 to the output (y-value) of the function.
Therefore, the function g(x) will be:
g(x) = f(x) + 5
Substituting the expression for f(x), we get:
[tex]g(x) = 4^x - 6 + 5\\g(x) = 4^x - 1[/tex]
Therefore,
The function g which is created by shifting the graph of function f up 5 units is given by [tex]g(x) = 4^x - 1.[/tex]
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Related Questions
What are the vertex and x-intercepts of the graph of y= x2 - 4x - 21? Select
one answer for the vertex and one for the x-intercepts.
A. Vertex: (-2, -9)
B. x-intercepts: (3.0), (-7,0)
C. Vertex: (2,-25)
D. x-intercepts: (3.0), (7,0)
E. x-intercepts: (-3,0), (7,0)
F. Vertex: (2, 13)
Answers
Hope this helps!
Diego has purchased a $159,000 home with a 30-year mortgage at 5.05%. He
can make a monthly payment of $1300. If he were to make this payment each
month, how long will it take him to pay off his mortgage?
Answers
Answer:122.3 days
Step-by-step explanation:
1300÷159,000= 122.3
1) Miguel sells a house for $275,000. His commission for the sale is $6,875. What percent commission did he earn? (Make sure to write your answer as a percent for example: 6.2%)
Answers
Answer: 2.5%
Step-by-step explanation:
Let's use the rule of 3 here.
If the total price is $275,000 or 100% of the sale, then $6,875 is X% of the total sale.
Let's put money on one side and percentages on the other.
[tex]\frac{275000}{6875}=\frac{100}{x}[/tex]
Solve for x;
[tex]x=\frac{6875*100}{275000}[/tex]
[tex]x=2.5[/tex]
The Percent commission Miguel earn is 2.5%.
To Find the percent commission Miguel earnedGiven:
Miguel sells a house = $275,000
His commission for the sale =$6,875.
Step 1:
Let's use the rule of 3 here.
If the total price is $275,000 or 100% of the sale,
then $6,875 is X% of the total sale.
Step 2:
Let's put money on one side and percentages on the other
=275000/6875
= 100/x
Solve for x;
x = 6875×100/275000
x = 2.5
Therefore, Percent commission did Miguel earn is 2.5%.
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Help!!!! this is plato and i’m not sure how to do this
Answers
Answer:not sure either
Step-by-step explanation:
Use the function below to find F(4).
Answers
Answer:
5/16
Step-by-step explanation:
f(x) = 5 * (1/2) ^x
Let x=4
f(4) = 5 * (1/2) ^4
= 5 * (1/16)
= 5/16
The diameter of a circle is 6 m. Find its area in terms of pi
Answers
Solution,
Diameter=6 m
Radius= 6/2=3m
Area of circle= pi r ^2
= pi *(3)^2
= pi*9
=9 pi metre^2
Hope it helps
Good luck on your assignment
The area of the circle is 9π m².
What is the area of the circle?
The area of a circle is the area inside the circle. Hence, the area of the circle = π × R².
Given, the diameter of the circle is(D) = 6 m.
Radius of the circle(R) = D/2 = 6/2 m = 3 m.
Therefore, the area of the circle = π × R² = π × 3² m² = 9π m².
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Find the area of the largest circle that can be inscribed inside a square whose perimeter is 28" ( with explanation )
Answers
Answer:
31.1
Step-by-step explanation:
28'' = 7'' per side
Square diagonal = 7 squareroot 2
7 squareroot 2 = Diameter
[tex]\frac{7\sqrt{2} }{2}[/tex] = radius
Area =2 pi r
31.1
Write log 24 in terms of log 2 and log 3.
A) log 3 + 3log 2
B) log 3 + 4log 2
C) log 3 + (log 2)3
D) 2log 3 + 2log 2
Answers
Answer:
the answer is a log 3 +3log2
Step-by-step explanation:
hey I couldn't help but notice, your test look like they are from James Madison high school. I was wondering you have done algebra 2 part 2. I'm really struggling. If you could can you comment on one of my questions to let me know. thanks
When we write Log 24 in terms of Log 2 and Log 3, the result is:
Log 3 + 3Log 2 (Option A)
Logarithm ruleLog (AB) = Log A + Log B
How to express Log 24 in terms of Log 2 and Log 3.Log 24 = Log (3 × 8)
Log 24 = Log 3 + Log 8
Recall
8 = 2³
Therefore,
Log 24 = Log 3 + Log 2³
Recall
Log Aⁿ = nLog A
Therefore,
Log 24 = Log 3 + 3Log 2
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Reflect the triangle in the mirror line.
Answers
The diagram attached below shows the schematic representation of reflection of a triangle that occurs in a plane mirror.
What is a reflection?A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
The top left point will stay the same in the axis, and will be on the axis
Finally, the top right point will stay true same on the x-axis, but will be on the axis in its image.
Since the mirror is a plane surface which can reflect light. The diagram attached below shows the schematic representation of reflection of a triangle that occurs in a plane mirror.
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You draw one card from a standard deck of playing cards. If you pick a heart, you win $10. If you pick a face card, which is not a heart, you win $8. If you pick any other card you lose $6. What is the expected value of the game?
Answers
Answer:
The expected value of the game is $131
Step-by-step explanation:
54 Cards in a deck including Jokers
52 Cards in a deck not including Jokers
13 Hearts
13 Clubs
13 Spades
13 Diamonds
13 Face Cards
13 / 52 = 25% Chance Of Pulling A Heart
30 / 52 = 57% Chance Of Pulling A Face Card Not A Heart
9 / 52 = 17% Chance of Loosing $6
$130 = Pick A Heart
$81 = Face Card Not a Heart
$130+$81 = $211
30 x 6 = $180
The expected value of the game is $131
Answer the following questions.
1). An airplane flies west for 100 miles and lands. Then it is put aboard a truck and hauled 12
miles south for service. What is the airplane's displacement?
720 miles west southwest
Answers
Answer: 864,000
Step-by-step explanation:
and that's if it's multiplication
The length of the diameter of a sphere is 8 inches. The volume of the sphere is
the surface area of the
sphere
Answers
Answer: 268.08 cu. in = volume
Surface area = 201.06 sq. in
Step-by-step explanation:
Volume of sphere = 4/3 pi r^3
Surface area = 4 pi r^2
Answer:
The Volume is greater than the Surface area of a sphere.
SA= 4
V= (4 x 3.14 x 4³) ÷ 3. (803.84) ÷ 3. 267.94.
SA= 4 x 3.14 x 4². (12.56)16. 200.96.
Step-by-step explanation:
ΡLΖ mark me brainliest if correct.
Which of the fractions are equivalent to the fraction below?
Answers
the answer is d when you simplify the equation it will leave you with 2/3
Which of the following are characteristics of the graph of the linear parent
function?
Check all that apply.
A. It is a straight line.
B. It is in quadrants II and IV.
C. It has a slope of 1.
D. It goes through the origin.
Answers
Answer: A,C, and D
Step-by-step explanation:
It is a straight line, it has a slope of 1 and it goes through the origin are the characteristics of the graph of the linear parent function
What is a function?A relation is a function if it has only One y-value for each x-value.
The linear parent function is the simplest form of a linear equation, which is y = x.
This equation has a slope of 1 and passes through the origin (0, 0).
The graph of y = x is a straight line that passes through the origin and extends infinitely in both directions.
Therefore, options A, C, and D are characteristics of the graph of the linear parent function.
Option B is not a characteristic of the linear parent function because it is not restricted to any specific quadrant; it passes through all four quadrants.
Hence, it is a straight line, it has a slope of 1 and it goes through the origin are the characteristics of the graph of the linear parent function
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[(5 x 2.34) - 9] divided by 2 Help needed
Answers
Answer:
1.35
Step-by-step explanation:
To answer this problem, use order of operations (PEMDAS)
5 x 2.34 = 11.7
11.7 - 9= 2.7
2.7 / 2 = 1.35
Hope this helps.
Answer: 1.35
Step-by-step explanation:
(5 * 2.34) = 11.7
11.7 - 9 = 2.7
2.7/2 = 1.35
Use the algebra tiles determine which expression is equivalent to -5x + 4.
Answers
Answer:
[tex]4 - 5x[/tex]
hope its helpful
Answer:
(-3x) + 3 + (-2x) + 1
Step-by-step explanation:
Here is a rectangle.
4.3 cm
7 cm
7 cm
4.3 cm
The 6-sided shape is made from two of these rectangles.
Work out the perimeter of this 6-sided shap
Answers
Answer:36.6cm
Step-by-step explanation;
you can make a six sided shape by keeping the two rectangles as it makes the shape of L
perimeter = 2(4.3cm)+4(7cm)
=8.6cm=28cm
=36.6cm
The perimeter of the 6-sided shape assuming it jointly at 4.3 cm sides will be 36.6 cm.
What is the perimeter?Perimeter is the addition of an external measure of sides it will always positive.
A perimeter is a length and has a degree of the unit as one.
The perimeter of the circle = πd where d is the dia of the circle.
As per the drawn combined rectangle.
Perimeter = 2(4.3) + 4(7)
⇒ 36.6 cm
Hence "The perimeter of the 6-sided shape assuming it jointly at 4.3 cm sides will be 36.6 cm".
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Find the area of this triangle... Round to the nearest tenth and include units in your answer
Answers
Answer:
36 m^2
Step-by-step explanation:
the formula for the area of a triangle is 1/2•b•h
so you’re going to do 1/2 times 12 times 6 to get the area of 36 m^2
which of the following relations is a function ?
Answers
Answer:
B.
Step-by-step explanation:
it is a function because each x value maps to only 1 y value (3).
This is an example of a many-to-one function.
What is the slope, m, and the y-intercept of the line that is graphed below? On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3). m = 1; (0, 3) m = 1; (–3, 0) m = –1; (0, 3) m = –1; (–3, 0)
Answers
Answer:
m = 1; (0, 3) is the correct answer.
Step-by-step explanation:
The general equation of a line is given by:
[tex]y=mx+c[/tex]
where, m is the slope of line
c is the y-intercept and
(x,y) are the points from where the line passes.
We are given that the line passes through 2 points (-3,0) and (0,3).
Putting the values of (x,y) in the equation of line.
Putting (0,3):
[tex]3 = m \times 0 + c\\\Rightarrow c =3[/tex]
So, y-intercept is (0,3).
Hence, equation of line becomes:
[tex]y = mx + 3[/tex]
Putting (-3,0) in [tex]y = mx + 3[/tex]:
[tex]0 = m(-3) +3\\\Rightarrow 3m = 3\\\Rightarrow m =1[/tex]
So, the equation of line becomes:
[tex]y = x +3[/tex]
Please find attached graph.
m = 1; y intercept (0, 3) is the correct answer.
Answer:
m = 1; (0, 3)
Step-by-step explanation:
took the test!!
How do you determine the scale factor of a dilation given the side lengths of the pre-image and image? 2. How can dilations help us solve real world problems? *
Answers
Answer:
If you're scaling up from a smaller figure to a larger one, plug the lengths into the equation scale factor = larger length over smaller length. If you're scaling down from a larger figure to a smaller one, use the equation scale factor = smaller length over larger length.
Dilatation help us solve real world problems by allowing us to estimate the location that something has to be in or even if an object will fit or not.
A rectangle room measures 13 feet by 15 feet. The ceiling fan is 8 feet high. Find the total area of all 4 walls that will need to be painted.
448 ft
224 ft
560 ft
336 ft
Answers
Answer:
448 ft^2
Step-by-step explanation:
The area of the walls is the perimeter of the room multiplied by the height.
P = 2(L + W)
P = 2(13 ft + 15 ft)
P = 2(28 ft)
P = 56 ft
A = perimeter * height
A = 56 ft * 8 ft
A = 448 ft^2
Find the Area of the Shaded Region. Triangle A = bh/2. Rectangle A = bh
11 ft
6 ft
6
4 ft
I will mark as Brainliest help
Answers
Answer:
Step-by-step explanation:
From the diagram in the image attached:
Base of triangle = [tex]20cm - ( 4 + 3)cm[/tex]
Base of triangle = [tex]20 - 7 = 13cm[/tex]
Height = 9cm
Area of triangle = (0.5) × base × height
Area of triangle = [tex]0.5 \times 13 \times 9 = 58.5cm^2[/tex]
Area of rectangle = Length × width
Area of rectangle = [tex]20 \times 9 = 180[/tex]
Shaded area = area of rectangle - area of triangle
Shaded area = [tex]180cm^2 - 58.5cm^2[/tex]
Shaded area = [tex]121.5cm^2[/tex]
Which equation represents the data in this function table?
OA) y = x + 3
OB) y = 3x
OC) x = y + 3
OD) x = 3y
Answers
Answer:
a
Step-by-step explanation:
because its easy
Answer:
its A, i did the qui on time for learning
Step-by-step explanation:
What is the value of r in the equation -1.5(4-r)=-12?
–6
–4
4
6
Answers
Answer:
B -4
Step-by-step explanation:
-1.5(4 - r) = -12
Distribute -1.5.
-6 + 1.5r = -12
Add 6 to both sides.
1.5r = -6
Divide both sides by 1.5.
r = -4
Your answer is -4.
Answer:
r = -4
Step-by-step explanation:
-1.5(4-r)=-12
Divide each side by -1.5
-1.5 / -1.5 *(4-r)=-12 / -1.5
(4-r) =8
Subtract 4 from each side
4-r-4 = 8-4
-r = 4
Divide each side by -1
-r/-1 = 4/-1
r = -4
The price of a pizza with three
toppings is $12.99. Extra toppings
cost $0.60 each. Frank's bill is
$15.39. Select all equations that can
be used to determine the number of
extra toppings on Frank's pizza.
Answers
-
12.99 + (0.6)x = 15.39
Answer:
yeah she is correct
Step-by-step explanation:
WILL GIVE BRAINLIEST ASAP NEEDED PLS ANSWER HELP
You need to create a fenced Off region of Land for cattle to graze. The grazing area must be a total of 500 square feet surrounded by a fence and in the shape of a regular polygon within this grazing area the length of the apothem must be 10 feet long.
Part. 1 find the total perimeter of the grazing area
Part 2. if the cost of the fence is $7.95 per linear foot how much will it cost to place a fence around the entire grazing area?
Part 3 - suppose this grazing area is 1/60 of an industrial grazing area for major industry farm. What is the total cost to build a fence around the entire land of the large scaled farm
Use property of proportions
show all work
Answers
Answer:
Part 1: The perimeter of total grazing area is 100 feet.
Part 2: The cost of fencing the entire grazing area is $759.
Part 3: The total cost to build a fence around the entire land of the large scaled farm is $ 45540.
A= perimeter X apothem /2
A=500
apothem = 10
500 = (P * 10)/2
P =100
B. 100*7.95 = $795
C.
60*100= 6,000
6,000 * $7.95=
$47,520
Worth lot of points :))))
Answers
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)
-4/3 = (6 - y)/[4-(-2)]
-4/3 = (6-y)/6
(-4/3)×6 = 6-y
-8 = 6-y
y = 6 + 8
= 14
Answer: y=14
Step-by-step explanation:
Which property justifies this statement?
If I = -2, then 5.c = -10.
Answers
Answer: Conditional statement
Step-by-step explanation:
Hypotheses followed by a conclusion is called an If-then statement or a conditional statement. This is noted as. p→q. This is read - if p then q. A conditional statement is false if hypothesis is true and the conclusion is false.
Josie deposited $1400 into a traditional IRA that grew to $3700 at her
retirement. If Josie is currently in the 10% tax bracket and is 76 years old, how
much tax will she have to pay when she withdraws the entire $3700?
Answers
Answer:
THA ANSWER IS $3701!!!!
Step-by-step explanation:
I JUST DID IT
Answer:
$370
Step-by-step explanation:
