Graph the exponential function.
f(x) = 4^x
Plot five points on the graph of the function. Then click on the graph-a-function button.
Answers
Exponential Function doesn't have a graph that intercepts x-axis only if it is f(x) = a^x (when a>0 and a ≠ 1)
If you want to plot five points to graph the function then. I'd rather do from negative number to positive number.
Substitute from -3≤x≤1 (We get 5 points)
f(-3) = 4^-3
f(-3) = 1/4^3
f(-3) = 1/64 (First point) (-3,1/64)
f(-2) = 4^-2
f(-2) = 1/4^2 = 1/16 (Second point) (-2,1/16)
f(-1)=4^-1 = 1/4 (Third point) (-1, 1/4)
f(0) = 4^0 = 1 (Fourth point) (0, 1)
f(1) = 4^1 = 4 (Fifth point) (1,4)
Related Questions
A fish tank can
hold 17 fish. It
started with 3.
Goldie puts in 2
new fish per day.
Answers
PLEASE HELP THERE ARE TWO PARTS!!
The graph shows the relationship between the United States dollar and
the euro, the currency of the European Union, in December 2011. Part A:
What is the constant of proportionality shown in the graph? *
Exchange Rate (December 6, 2011)
VA
(400, 300)
300
Number of euros
200
(250, 187.50)
100
(120,90)
100 200 300
400
Number of US dollars
I
Answers
Answer:
The constant of proportionality of the graph is 0.75
Step-by-step explanation:
The coordinates of the points on the lines are;
(400, 300), (250, 187.5), and (120, 90)
Which can be written in a tabular form as follows;
Number of US dollars [tex]{}[/tex] Number of euros
120 [tex]{}[/tex] 90
250 [tex]{}[/tex] 187.5
400 [tex]{}[/tex] 300
Given that the graph is a straight line graph, we can represent the graph with the straight line equation, y = m·x + c
Where;
c = The y-intercept (where the graph meets the y-axis) = 0
m = The slope = The constant of proportionality
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m =\dfrac{300-90}{400-120} = \dfrac{210}{280} = 0.75[/tex]
We have, y = m·x = 0.75·x.
Therefore, the constant of proportionality of the graph = 0.75.
plz i need help
-16 = - 8v
Answers
v=2
Explanation:
-16=-8v
1) divide both sides by -8
-16/-8=-8v/-8
2=v
I hope this helps! Please comment if you have any questions.
Answer:
v=-2
Step-by-step explanation:
if v = -2, 8 x -2= -16
Shelly runs 2.5 miles in 18 minutes. What is her mile time in minutes?
Answers
Answer:
7.2 minutes
Step-by-step explanation:
You can just divide 18 minutes by 2.5, and you will get 7.2 minutes per mile. Hope it helps!
Item 3 Find the distance from point $A$ to $\overleftrightarrow{XZ}$ . Round your answer to the nearest tenth. Triangle X Z A and line X Z are plotted on a coordinate plane. The x-axis ranges from negative 5 to 5, in increments of 1. The y-axis is ranges from negative 5 to 5, in increments of 1. Point X is at ordered pair negative 4 comma negative 3, point Y is at ordered pair 2 comma negative 1.5, point A is at ordered pair 3 comma 3 and point Z is at ordered pair 4 comma negative 1. Angle A Z X is marked with a right angle.
Answers
Answer:
3.2
Step-by-step explanation:
Given the coordinates
X(4, -3)
Y(2, 1.5)
A(3, 3)
Z(4,-1)
We are to find the distance from point A to XZ
First let us get the coordinate XZ
According to vector notation XZ = Z-X
XZ = (4,-1)-(4,-3)
XZ = [(4-4),-1-(-3)]
XZ = (0, 2)
Next is to find the distance from A(3, 3) to XZ(0,2) using the formula for calculating the distance between two points.
D = √(x2-x1)²+(y2-y1)²
x1 = 3, y1 = 3, x2 = 0, y2 = 2
D = √(0-3)²+(2-3)²
D = √9+1
D = √10
D = 3.16
Hence the distance from point A to XZ to nearest tenth is 3.2
Can someone please help me
Answers
Write the inequality:
2 times d is less than 10
Answers
Answer:
2d<10 or 10>2d
Step-by-step explanation:
Answer:
2d < 10
Step-by-step explanation:
Javier asks his mother how old a tree in their yard is. His mother says, "The sum of 10 and two-thirds of that tree's age, in years, is equal to 50." Javier writes the equation (10 + two-thirds) a = 50, where a is the tree's age in years. His equation is not correct. What error did he make?
Answers
Answer:
His error is adding 10 and 2/3 before multiplying by a(age of the tree)
Step-by-step explanation:
The sum of 10 and two-thirds of that tree's age, in years, is equal to 50.
Correct equation
Sum = addition (+)
two-thirds = 2/3
The tree's age = a
10 + 2/3a = 50
2/3a = 50 - 10
2/3a = 40
a = 40 ÷ 2/3
= 40 × 3/2
= 60
a = 60 years
Javier writes the equation
(10 + two-thirds) a = 50
(10 + 2/3)a = 50
(30+2/3)a = 50
32/3a = 50
a = 50 ÷ 32/3
= 50 × 3/32
= 150/32
a = 150/32
His error is adding 10 and 2/3 before multiplying by a(age of the tree)
Answer:
His error is adding 10 and 2/3 before multiplying by A...
…So option A is your answer.Hope it helps!7x - 4y = -19
14x - 7y = -28
Answers
solve the equation below for x
cx - 4 = 7
A. x = 11/c
B. x = c/11
C. x = c/e
D. x = 3/c
Answers
Answer:
x = 11/c
Step-by-step explanation:
cx - 4 = 7
Add 4 to each side
cx - 4+4 = 7+4
cx = 11
Divide each side by c
cx/c = 11/c
x = 11/c
Some students did treadmill workouts, each one running at a constant speed. Answer the questions about their workouts. Tyler ran 4,200 meters in 30 minutes. • Kiran ran 6,300 meters in 1 hour. . Mai ran 6.3 kilometers in 45 minutes. 2. At what rate did each of them run?
Answers
Answer:
rate of Tyler = 8.4 Km/hour
rate of Kiran = 6.3 Km/hour
rate of Mai = 8.5 Km/hour
Step-by-step explanation:
Rate is the speed with which each ran
speed = total distance covered/total time taken to cover that distance
we will use unit km/hour for speed calculation
_____________________________________________________________
For Tyler
distance = 4200 m
1000 m = 1 km
4200 m = 1/1000 *4200 km = 4.2 KM
time = 30 minutes
60 mins = 1 hour
30 minutes = 1/60 *30 hour = 0.5 hours
thus,
speed/rate of Tyler = 4.2 KM/0.5 hours = 8.4 Km /hour
_____________________________________________________
For Kiran
distance = 6300 m
1000 m = 1 km
6300 m = 1/1000 *6300 km = 6.3 Km
time = 1 hour
thus,
speed/rate of Kiran = 6.3KM/1 hours = 6.3Km /hour
_____________________________________________________
For Mai
distance = 6.3 Km
time = 45 minutes
60 mins = 1 hour
45 minutes = 1/60 *45 hour = 0.75 hours
thus,
speed/rate of Mai = 6.3KM/0.75 hours = 8.5 Km /hour
A pod of dolphins contains 800 dolphins of different ages and lengthens. The median length of dolphins in this pod is 5.8 feet. What info does does this tell you about the length of dolphins in this pod?
Answers
The median represents the middle value of the data 5.8 feet will be the middle value.
What is the median?The median represents the middle value in a dataset. The median is important because it gives us an idea of where the center value is located in a dataset. The median tends to be more useful to calculate than the mean when a distribution is skewed and/or has outliers.
Given that apod of dolphins contains 800 dolphins of different ages and lengthens. The median length of dolphins in this pod is 5.8 feet.
From the definition, we can see that of the 800 dolphins the length of the middle dolphin is 5.8 feet because it is a median and the upper values will be greater than 5.8 feet and below it all the dolphins will have smaller lengths.
Therefore, the median represents the middle value of the data 5.8 feet will be the middle value.
To know more about median follow
https://brainly.com/question/23962563
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INEQUALITY QUESTION PLEASE HELP
Answers
Answer:
C
Step-by-step explanation:
Using these clues, make a quadilateral. Write the name and each side. What is the perimeter?
1. rectangle with sides 7 feet
2. 7feet
3. 10 feet
4. 10feet
Answers
The name of my shape is a parallelogram. The sides are:
7 feet7 feet10 feet10 feetThe perimeter is 34 feet because:
Step 1: Add smaller groups.
10 + 10 = 20
7 + 7 = 14.
Step 2: Add the two numbers.
14 + 20 = 34.
Hope this answer helps you!
The value of x must be greater than 0 1 03
Answers
Answer: x= 200
Step-by-step explanation: Any value greater than 103 will be equal to x. So... in this case, x= >103. (200>103).
Someone help please. Its algebra 1.
Select the equation of a line in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3.
A. y= -2x +2
B. y= -2x -2
C. y= 1/2x -2
D. y= 1/2x +2
Answers
Answer:
B
Step-by-step explanation:
the line is perpendicular to y=1/2x-3
so its gradient, m, would be -2 (m¹m²= -1)
sub the coordinates and the gradient into this equation to find the equation of line in slope intercept form
y-y¹ = m(x-x¹)
The equation of the line in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3 is; y = -2x - 2
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Where x₁ - x coordinate, y₁ - y coordinate, m - slope
Point (-2,2)
Then the equation of a line perpendicular to the graph of y= 1/2x-3.
its gradient, m, would be; -2 (m¹m²= -1)
Now Write the equation as;
y-y₁ = m(x-x₁)
y - 2= -2(x + 2)
y = -2x - 2
Hence, the equation of the line in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3 is; y = -2x - 2
Learn more about equations here;
brainly.com/question/25180086
#SPJ5
its a geo match to the ? type thing
Answers
2) 1/2
3) 2
I can explain if you have time
Professor Burger orders flowers to be delivered to his mother. The flowers cost $59.95, not including tax. A bouquet of flowers is shown. Its price tag reads fifty-nine dollars and ninety-five cents. If there is a 6% sales tax, what is the total cost of the flowers to the nearest cent? Enter the correct answer in the box.
Answers
Answer:$60.30
Step-by-step explanation:
Add together 59.95 and 3.597. This gives you 63.547.
The directions say to round to the nearest cent, so round up to $63.55.
Hope this helps!
This scatterplot and regression line below show the relationship between the average rent for a 1-bedroom apartment in New York and the number of years after the year 2000. The fitted line has a y-intercept of 800. What is the best interpretation of this y-intercept?
Answers
Answer: That the average price of a 1-bedroom apartment in New York in the year 2000 was around $800.
Step-by-step explanation:
In this case, x represents the number of years after the year 2000.
Then we can think that x = 0, represents the year 2000 itself.
Now, remember that the y-intercept is the value of y when we have x = 0.
Then the y-intercept gives information about the average price of a 1-bedroom apartment in the year 2000.
The information that we can conclude with this is that the average price of a 1-bedroom apartment in New York in the year 2000 was around $800.
(1,9)
Write the interval as an inequality.
Answers
Answer:
1<x<9
Step-by-step explanation:
The parenthesis means that the inequality symbols are simply less than rather than less than or equal to. From there on, you just plug in the values on either side of x and you have your inequality.
If you were to describe a translation of triangle ABCABC, what information would you need to include in your description? If you were to describe a rotation of triangle ABCABC, what information would you need to include in your description? If you were to describe a reflection of triangle ABCABC, what information would you need to include in your description?
Answers
Answer:
1) The information required in order to describe a translation of triangle ABC to A'B'C', are;
a) The coordinates of the vertices of the triangle ABC
b) The amount by which the triangle ABC is translated along the x-axis
c) The amount by which the triangle ABC is translated along the yx-axis
2) The information required in order to describe a rotation of triangle ABC to A'B'C', are;
a) The coordinates of the vertices of the triangle ABC
b) The coordinates of the point about which the triangle ABC is to be rotated
c) The amount in degrees, the triangle ABC is to be rotated
2) The information required in order to describe a reflection of triangle ABC to A'B'C', are;
a) The coordinates of the vertices of the triangle ABC
b) The equation of the line about which the triangle ABC is to be reflected
Step-by-step explanation:
Triangle ABC has vertices A (1,1) B (7,1) C (4,9) (A)Find the perimeter of triangle ABC. (B) Find the area of triangle ABC
Answers
9514 1404 393
Answer:
perimeter = 6+2√73 ≈ 23.09 unitsarea = 24 units²Step-by-step explanation:
It can help to draw a figure.
The altitude of this isosceles triangle is 8 units, and it splits the base into equal lengths of 3 units. Using the Pythagorean theorem, we find the length of a side to be ...
BC = AC = √(3² +8²) = √73
The perimeter is the sum of the lengths of those two sides and the base:
P = 2(√73) +6 ≈ 23.088 . . . units
The area is given by the formula ...
A = 1/2bh
A = (1/2)(6 units)(8 untis) = 24 units²
__
The perimeter is 6+2√73 ≈ 23.09 units.
The area is 24 units².
Find the measure of angle BEA
Answers
Answer:
130°
Step-by-step explanation:
Line AD = 180°
Angle BED = 50°
180°-50°=130°
Answer:
Step-by-step explanation:
approx. 140 degrees
what does -11/2 - 7/3 equal
Answers
Answer: - 47/6 or in mixed number form - 7 5/6
Step-by-step explanation:
Which of the following is an equivalent expression with 3(7 + 2x)
Answers
Answer:
21+6x
Step-by-step explanation:
I dont know if it is a choice but this works
you just distribute so 3*7+(3*2x)=21+6x
hope this helps
brainliest?
please
3 x 7= 21
3 x 2x= 6x
Helppppp Meeeeee !!!!!!!!!
Answers
Answer:
a) draw the triangle using the graph points
b) move the triangle 3 points to the left and 1 point down
c) translation
d) draw this shape
e) write down the coordinates
Step-by-step explanation:
The x-3 in translation tells you to move 3 squares to the left along the x axis in translation and y-1 tells you to move down one on the y axis.
Solve the inequality for x.
–3x – 3 < –63
Answers
Answer:
ill help:)
Step-by-step explanation:
Answer:
x < 20.
Step-by-step explanation:
-3x-3<-63
+3 +3
-3x<-60
÷-3. ÷-3
x<20
A groundskeeper needs grass seed to cover a circular field, 230 feet in diameter.
A store sells 10-pound bags of grass seed. One pound of grass seed covers about 400 square feet of field.
What is the smallest number of bags the groundskeeper must buy to cover the circular field? Explain or show your reasoning.
Help need before 2 hours!!
Answers
Answer:
if the area of a right isosceles triangle is 128. m,what will be the length of the identical side of the triangle
Lea wrote a number riddle. Her clues were: 9 is 10 times the value of the 9 in 329,513 2 is 110 the value of the 2 in 7,562 6 is 110 the value of the 6 in 4.68 Which number is an answer to Lea's riddle? 19,426 95,826 341,950.26 498,173.26 I need help solving this question can someone plz help me
Answers
Answer: 498,173.26.
Step-by-step explanation:
Place value of the 9 in 329,513 = 9,000
9 is 10 times the value of the 9 in 329,513.
Then, place value of 9 in required number = 10x 9,000 = 90,000
from options only 95,826 and 498,173.26 has 9 at ten thousands place. (cancel all other options)
Also, 2 is [tex]\dfrac1{10}[/tex] the value of the 2 in 7,562.
place value of 2 in required number =[tex]\dfrac1{10}\times2=0.2[/tex]
i.e. place value of 2 in required number 2 tenths
which is in 498,173.26 [place value of 6 is [tex]\dfrac1{10}[/tex] the value of the 6 in 4.68]
Hence, th required number is 498,173.26.
Please help!!
Simplify the expression:
1) (m^2m^3)^4
2) (x^4x)^2
Answers
Hello! I hope i’m correct!! :)
Answer:
1) 20^m
2) x^10
Step-by-step explanation:
[tex](m^{2+3})^{4}[/tex]
[tex](m^{5})^{4}[/tex]
[tex]=[/tex][tex]m^{20}[/tex]
First expression: m^20
______________________________
[tex](x^{5} )^{2}[/tex]
[tex]=x^{10}[/tex]
Second expression: x^10
Hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! ⭐️
(Sorry if this is incorrect!)
~By, BrainlyAnime~ <3
Answer:
1) 20^m
2) x^10
Step-by-step explanation:
1. Reformatting the input:
Changes made to your input should not affect the solution:
( 1 ) : "m3" was replaced by "m^3".
m^5 raised to the 4th power = m^( 5 * 4 ) = m^20
_________________________________________________
2.
x^5 raised to the 2nd power = x^( 5 * 2 ) = x^10