Exponential function: f(x) = 5 ∗ [tex]3^{x}[/tex]
1. Make the table of values with at least 5 points.
2. Graph the function
3. Is the function increasing or decreasing?
4. What is the domain and range of the function?
Logarithmic function: g(x) = log3 + 2
1. Make the table of values with at least 5 points.
2. Graph the function
3. Is the function increasing or decreasing?
4. What is the domain and range of the function?
Answers
Answer:
See below.
(I only answered the first one b/c the second log function doesn't really make sense, sorry!)
Step-by-step explanation:
1. f(x) = 5 × [tex]3^{x}[/tex]
Plug in 5 points.
x = -2, f(x) = [tex]\frac{5}{9}[/tex]
x = -1, f(x) = [tex]\frac{5}{3}[/tex]
x = 0, f(x) = 5
x = 1, f(x) = 15
x = 2, f(x) = 45
2. Attached below.
3. Increasing
4. Domain: x = all real numbers
Range: f(x) > 0 (because the line never goes below the x-axis)
![Exponential Function: F(x) = 5 [tex]3^{x}[/tex]1. Make The Table Of Values With At Least 5 Points.2.](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/TncblNxciJBar8ugrFDWViZXE5hgwZKf.png)
Related Questions
Pls help extra points and mark
Answers
Section B
Solve the problems. Show your workings clearly in the spaces provided.
(10)
Paul was given $2760 to buy toys for a group of children.
(a) What would be the greatest number of toys Paul could buy if each toy
cost $9?
(b) How much money would be left after buying the toys?
Answers
Jonas wants to paint the walls of his bedroom and the
ceiling. The dimensions of his room are 7 feet by 12 feet
by 8 feet.
What statements about calculating the surface area of
the walls to be painted are correct? Select all that
apply.
O Include the areas of all six faces.
Include the areas of five faces.
Include the areas of four faces.
7 ft
The surface area that will be painted is 376 ft?.
O The surface area that will be painted is 472 ft?
8 ft
12 ft
Answers
Answer:
B, and D or 2, and 4
Step-by-step explanation:
b=2 d=4
The surface area to be painted for a bedroom of 12 feet by 8 feet and 7 feet high is equal to the areas of five faces which is 376 ft²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The dimensions of his room are 7 feet by 12 feet by 8 feet. Hence:
The surface area of the wall = area of the four walls and ceiling = (7 * 8) + (12 * 7) + (7 * 8) + (12 * 7) + (8 * 12) = 376 ft²
The surface area to be painted for a bedroom of 12 feet by 8 feet and 7 feet high is equal to the areas of five faces which is 376 ft²
Find out more on equation at: https://brainly.com/question/2972832
#SPJ2
Find the area of the trapezoid.
40 mm
24 mm
19 mm
A=
mm2
Answers
Answer:
A = 708 mm^2
Step-by-step explanation:
[tex]A=\frac{a+b}{2} h\\\\A=\frac{19+40}{2} *24\\\\A=\frac{59}{2} *24\\\\A= 708[/tex]
The dj charges $35 for 1/2 hour. If the school hires him for a dance that lasts 3 1/2 hours, how much will the dj earn
Answers
Answer:
$245
Step-by-step explanation:
Step-by-step explanation:
$35 / 1/2=x / 3 1/2Divide 35 by 1/2 by multiplying 35 by the reciprocal of 1/2.
35*2=x / 3*2+1/2
Multiply 35 and 2 to get 70.
70=x / 3*2+1/2
Divide x by 3*2+1/2 by multiplying x by the reciprocal of 3*2+1/2.
70=x*2/3*2+1
Multiply 3 and 2 to get 6.
70=x*2/6+1
Add 6 and 1 to get 7.
70=x*2/7
Swap sides so that all variable terms are on the left-hand side.
x*2/7=70
Multiply both sides by 7.
x*2=70*7
Multiply 70 and 7 to get 490.
x*2=490
Divide both sides by 2.
x=490/2
Divide 490 by 2 to get 245.
x=245
Find the slope of the line that passes through the two points. (0, 0), (3, 2)
Answers
Answer:
the slope is 2/3 bcoz u do 2-0/3-0
A swimming pool is 25 feet across. The angle of depression is 20. How deep is the pool?
Answers
=> has 20 meters long
=> has 12 meters wide
=> it is slanted at 1.3 meters depth
=> has 4 meters at the deep end.
Now, let’s start finding the tan:
=> tan x = oop/adj
=> tan x = 4 -1.3/20
=> 0.135
=> x = tan-1 0.135, this is equals to approximately 7.69 degrees.
Thus the angle of depression is approximately 7.69 degrees
Functions f(x) and g(x) are shown:
f(x) = x2 g(x) = x2 + 8x + 16
In which direction and by how many units should f(x) be shifted to match g(x)?
A. Left by 4 units
B. Right by 4 units
C. Left by 8 units
D. Right by 8 units
Answers
Answer:
Step-by-step explanation:
Factor g(x)
(x+4)(x+4)
(x+4)^2
So f(x) needs to be shifted left by 4 units.
Answer:
Option A, Left by 4 units
Step-by-step explanation:
Step 1: Convert g(x) to a function square
We currently have g(x) in this order: [tex]ax^2 + bx + c[/tex]
However, we want g(x) to be in this order: [tex](ax + c)^{2}[/tex]
The first thing we have to do is to factor it out:
[tex]g(x)=x^{2}+8x+16[/tex]
[tex]g(x) = (x + 4)(x + 4)[/tex]
[tex]g(x) = (x+4)^{2}[/tex]
Step 2: Now we can see which way we need to move it
The original form is: [tex]f(x) = (ax - b)^{2}[/tex]
Since the - has changed to a +, that means that we moved -4 spaces down the x-axis. This means that we move left by 4 units.
Answer: Option A, Left by 4 units
Look at the graphs below to make sure:
Estimate 201 to the nearest tenth.
Answers
Is expression K+W show the sum of K and W ?
Answers
Answer:
yes
Step-by-step explanation:
You have 10 gallons of lemonade to sell. (1 gal $\approx$ 3785 cm3)
A conical paper cup is shown. Its height is 11 centimeters and the diameter of its base is 8 centimeters.
a. Each customer uses 1 paper cup. The cups are sold in packages of 50. How many packages should you buy?
b. How many cups will be left over if you sell 80% of the lemonade?
Answers
Answer:
Step-by-step explanation:
volume of cone cup = ⅓πr²h = ⅓π4²·11 ≅ 184.31 cm³
10 gal × 3,785 cm³/gal = 37,850 cm³
37,850 cm³ × (1 cone)/(184.31 cm³) ≅205.4 cones
Buy 5 packages (250 cones).
8 gal × 3,785 cm³/gal = 30,280 cm³
30,280 cm³ × (1 cone)/(184.31 cm³) ≅165 cones
250 - 165 = 85 cones left over
a). Number of packs of cups to be purchased = 5 packs
b). Number of cups remaining if 80% lemonade is sold = 85 cups
Volume of a cone: Volume of a cone is given by the expression,
[tex]V=\frac{1}{3}\pi r^2h[/tex]
Here, r = radius of the cone
h = Height of the cone
Given in the question,
Radius of the cone = [tex]\frac{8}{2}[/tex] = 4 cm Height of the cone = 11 cm Amount of lemonade = 10 gallonsa). Volume of one cone = [tex]\frac{1}{3}\pi (4)^2(11)[/tex]
= 184.307 cm³
Covert the gallons into cubic cm,
∵ 1 gallon = 3785 cm³
∴ 10 gallons = 37850 cm³
∵ 184.307 cm³ volume represents the number of cones = 1
∴ 1 cm³ will represent the voulume = [tex]\frac{1}{184.307}[/tex] cups
∴ 37850 cm³ will represent the volume = [tex]\frac{37850}{184.307}[/tex] cups
= 205.36 cups
≈ 205 cups
Therefoe, number of packs of cups to be bought = [tex]\frac{205}{50}[/tex]
= 5 packs
b). If 80% of the lemonade are sold, amount of lemonade sold = 10 × [tex]\frac{80}{100}[/tex]
= 8 gallons
Volume of 8 gallons lemonade in cm³ = 8 × 3785
= 30280 cm³
Therefore, number of cups to be used = [tex]\frac{30280}{184.307}[/tex] cups
= 164.29 cups
≈ 164 cups
Number of cups purchased = 250
And the number of cups remaining = 250 - 164
= 86 cups
Therefore, number of cups remaining are 86 cups.
Learn more about volume of the cone here,
https://brainly.com/question/14671146?referrer=searchResults
Mhanifa please help on mine
Answers
Answer:
Q1The opposite sides are two pairs of parallel lines.WY is transversalAngles 1 and 3 are congruent as alternate interior angles, same applies to angles 2 and 4.WY is the shared side and congruent to itself.So we have two angles and the included side congruent to corresponding parts of the other triangle.
1≅3, 2≅4, WY≅WYΔWXY ≅ ΔYZWThis is called angle-side-angle or ASA
Correct choice is
C. Yes, ASA theoremQ2Preimage is CP = 12, image is CP' = 3
Scale factor is:
k = 3/12 = 1/4This is a 4 times reduction
Correct option is D:
k = 1/4, reductionSimplify the following:
2x^3-3x^2+4x+5 / x+2
Show steps! Please help for college prep math
Answers
answer:
2x^3-3x^2+9x+2
step-by-step explanation:
i added 4x and 5x to get 9x
good luck :)
hopefully, this helps
have a great day !!
calculate 30% of 500 kg
Answers
Have a good day :D
What is the slope of the line represented by the equation y =4/5x-3
Answers
Answer: this equation is in slope intercept form following the template of y=mx+b because m is your slope, looking at the corresponding parts tells you 4/5 is the slope.
PLEASE HELP THIS ASSIGNMENT IS OVER DUE
Answers
Answer:
25x-25y
Step-by-step explanation:
The distributive property tells us how to solve expressions in the form of a(b + c).
So, a*b and a*c would be the answer.
25*x and 25*y
Good luck on your assignment. :)
Answer:
=25x−25y
Step-by-step explanation
A and B are independent events, A and C are dependent. P(A|B) = 0.3, P(A|C) = 0.2. Find P(A).
Round your answer to the nearest tenth.
Answers
Answer:
P(A) = 0.3
Step-by-step explanation:
independent event:
P(A|B) = P(A) = 0.3
The value of P(A) is equal to 0.3 to the nearest tenth.
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events. Comparing it with the chain rule will give
[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]
It is showing that whether one occurred or not, the other one doesn't care about it (independence).
Given that A and B are independent events, A and C are dependent. P(A|B) = 0.3,
P(A|C) = 0.2.
We know that for the independent event:
P(A|B) = P(A)
Hence, P(A) = 0.3
The value of P(A) is equal to 0.3 to the nearest tenth.
Learn more about independent variables;
https://brainly.com/question/1479694
#SPJ2
which of the following is like a radical to 3 sqrt 6x2 ??? PLEASE HURRY
Answers
Answer:
[tex]3\sqrt{6x^2} = 3x\sqrt{6}[/tex]
Step-by-step explanation:
Given
[tex]3\sqrt{6x^2[/tex]
Required
Express as a radical
Split
[tex]3\sqrt{6x^2} = 3\sqrt{6} * \sqrt{x^2[/tex]
[tex]\sqrt{x^2} = x[/tex]
So:
[tex]3\sqrt{6x^2} = 3\sqrt{6} * x[/tex]
This gives:
[tex]3\sqrt{6x^2} = 3x\sqrt{6}[/tex]
If a hummingbird hunted like an eagle, would its beak be useful?
Answers
Answer:
No
Step-by-step explanation:
What is the oldest currency in use?
A. The yen
B. The pound sterling
C. The franc
D. The euro
Answers
The temperature in Mansfield, Ohio was -3 degrees in the afternoon. After the sun went down, the temperature dropped 6 degrees. What was the temperature after the sun went down? *
GET right i give brainly
Answers
Because if you have negative three and it drops 6 then it becomes negative 9
Grace drove 28 1/2 miles . She used 1 1/4 gallons of gasoline . What is the unit rate for miles per gallon
Answers
Answer:
hi
Step-by-step explanation:
a rectangular water tank carries 40000 litres of water what is the best area if its height is 2 m
Answers
Answer:
the base area is 20,000
2 x 20,000 = 40,000
Solve for x y-b=m(x-a)
Answers
Toni gives a cashier a $20 bill he is buying an item for $4.79 how much money should tony get back
Answers
Answer:
$15.21
Step-by-step explanation:
Answer:
15.21
Step-by-step explanation:
20−4.79
Subtract 4.79 from 20 to get 15.21.
15.21
what is the area of the area of circle with a circumference of 12.56 feet?
Answers
Answer:12.56 square units
Step-by-step explanation:
C=2ttr
Point A is at (3,-8) and point B is at (5,-2.5). What is the midpoint of line segment AB?
Answers
Answer:
[tex]\displaystyle (4,-5.25)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point A(3, -8)
Point B(5, -2.5)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute in points [Midpoint Formula]: [tex]\displaystyle (\frac{3+5}{2},\frac{-8-2.5}{2})[/tex][Midpoint] Add/Subtract: [tex]\displaystyle (\frac{8}{2},\frac{-10.5}{2})[/tex][Midpoint] Divide: [tex]\displaystyle (4,-5.25)[/tex]Find the radius of a circle if its center is (2,3) and one point on the circle is (5,3).
Answers
Answer:
Step-by-step explanation:
radius = distance between (2,3) and (5,3) = √[(5-2)² + (3-3)²] = 3
The required radius of the circle is
center is (2,3)
point on the circle is (5,3).
What is radius?
Radius of the circle is the distance between the center to the circumference.
Radius = [tex]\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}[/tex]
=[tex]\sqrt{(5-3)^2-(3-3)^2}[/tex]
Radius = [tex]\sqrt{4}[/tex]
Radius = 2
Thus, the required radius is 2 .
Learn more about radius here:
https://brainly.com/question/13449316
#SPJ2
• You order 4 chicken sandwiches and a hamburger. The cost of a hamburger is $2.50 and the total bill is $14.30. Find the cost of a chicken sandwich
needs to be in
Verbal Model:
and
Algebraic Equation:
Plz I NEED ANSWER ASAP IF U ANSWER I GIVE BRAINLIEST
Answers
Answer:
$2.95
Step-by-step explanation:
$14.30 - $2.50 = $11.80
$11.80/4 = $2.95 for a chicken sandwhich
add 10 to p translate into algebraic expression (plss help me)
Answers
Answer:
10+p
Step-by-step explanation:
that's pretty much it