Find the ordered pairs for y = 2ˣ by substituting various values of x into the equation, calculate y, and list the pairs. These can then be plotted on a graph to show the exponential relationship.
To determine the ordered pairs for the given function y = 2ˣ, you will perform substitutions for x with various values and calculate the corresponding y values. Once this is done, you can plot these points on a graph to visualize the function.
Choose a range of x-values (for example, -3, -2, -1, 0, 1, 2, 3).
Calculate the corresponding y-values using the equation y = 2ˣ.
List the ordered pairs (x,y).
Plot each pair on a coordinate graph.
Connect the points to represent the exponential graph.
Remember, shifting an exponential graph parallel to the x-axis can be done by adjusting the exponent's value.
What is the value of f(6) in the function below? f(x)=2^x
A. 16
B. 32
C. 12
D. 64
Suppose there are 10 five and six-year-old attending a birthday party. When a 30 year old mother walks into the room with an infant in her arms, what happens to the mean age in the room? what happens to the standard deviation of ages in the room?
A. The mean and standard deviation of both change.
B. The meaning will change, but the standard deviation will stay approximately the same.
C. I mean will stay approximately the same, but the standard deviation will change.
D. The mean and standard deviation will both stay approximately the same.
Answer:
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The mean and standard deviation of both change ages in the room.
What are the mean and standard deviation?The mean of a dataset exists as the sum of all values divided by the total number of values. It's the most generally utilized measure of central tendency and exists often referred to as the “average.”
The median exists as the middle value in a list ordered from smallest to largest. The mode exists as the most frequently occurring value on the list.
The standard deviation exists as a statistic that measures the dispersion of a dataset relative to its mean and is computed as the square root of the variance. The standard deviation exists estimated as the square root of variance by determining each data point's deviation relative to the mean.
Standard deviation describes how spread out the data is. It is a measure of how far each observed value exists from the mean.
Here given that,
There are 10 five and six-year-olds attending a birthday party.When a 30-year-old mother walks into the room with an infant in her arms. what happens to the mean and standard deviation of ages in the room.Hence, A. The mean and standard deviation of both change.
To learn more about mean and standard deviation refer to:
https://brainly.com/question/475676
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HELP!!THANKS FOR ACCURACY
[tex]\bf tan^2(x)-1=0\implies tan^2(x)=1\implies tan(x)=\pm\sqrt{1} \\\\\\ tan^{-1}[tan(x)]=tan^{-1}(\pm 1)\implies x=tan^{-1}(\pm 1)\implies x= \begin{cases} \frac{\pi }{4}\\\\ \frac{3\pi }{4}\\\\ \frac{5\pi }{4}\\\\ \frac{7\pi }{4} \end{cases}[/tex]
what is the prime factors of 96
Answer:
1,2,3,4,6,8,12,16,24,32,48
Step-by-step explanation:
|96|
1×96
2×48
3×32
4×24
6×16
8×12
hope this helps :)
A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?
A. R0, 90°
B. R0, 180°
C. R0, 270°
D. R0, 360°
Answer:
D. R0, 360°
Step-by-step explanation:
Since the transformation is from (x,y) to (x,y), the values stay the same...
It's just like a 360 degrees rotation then, since the end position is identical to the start position.
All other answers would affect at least one of the values to change sign like (-x,y), (x,-y) or (-x,-y)... but a 360 degrees rotation would not.
What is the value of 4x-7 when x=4?
1
9
16
23
[tex]
4x-7\Longrightarrow4\cdot4-7=16-7=9
[/tex]
Hope this helps.
r3t40
Answer:
9
Step-by-step explanation:
4x-7
4(4)-7
16-7
9
What is the domain of this function
Answer:
A. {-1, 3, 5}Step-by-step explanation:
Look at the picture.
Which is the correct formula to find the area of ABC
With her motorboat at full speed Dawn gets to her fishing hole, which is 21 miles upstream, in 2 hours. The return trip takes 1.5 hours. How fast could her motorboat go in still water? What is the rate of the current?
Answer:
Speed_still = 12.25 mi/h
Speed_current = 1.75 mi/h
Step-by-step explanation:
In the first trip, the motorboat goes upstream
Speed_boat = Speed_still - Speed_stream
The speed is defined as
Speed = Distance / time
This means
Speed_boat = 21 miles/ 2 h = 10.5 mi/h
Then
Speed_still - Speed_stream = 10.5 mi/h
In the second trip:
Speed_boat = Speed_still + Speed_stream
Speed_boat = 21 miles/ 1.5 h = 14 mi/h
Speed_still + Speed_stream = 14 mi/h
Then, the ystem of equations result
Speed_still + Speed_stream = 14 mi/h
Speed_still - Speed_stream = 10.5 mi/h
If we add them together
2*Speed_still = 24.5 mi/h
Speed_still = 12.25 mi/h
Speed_stream = 14 mi/h - 12.25 mi/ h = 1.75 mi/h
2w -5. when w = 16 HELP ME
Answer:
27
Step-by-step explanation:
Plug in
2(16) - 5
= 32 - 5
= 27
For this case we have the following expression:
[tex]2w-5[/tex]
We must evaluate the expression when w = 16. So, we have:
[tex]2 (16) -5 =\\32-5 =[/tex]
Different signs are subtracted and the sign of the major is placed:
[tex]32-5 = 27[/tex]
Thus, the value of the expression with [tex]w = 16[/tex] is 27
Answer:
[tex]32-5 = 27[/tex]
A game store sells 2 large puzzles for $16 and 3 small puzzles for $15. The store made $128 in puzzle sales this week.
The equation 8l+5s=128 represents this week's earnings from puzzle sales, where ll represents the number of large puzzles sold and s represents the number of small puzzles sold.
Which statements are correct regarding the equation 8l+5s=128?
select all the apply.
1.The coefficient 5 in the equation gives the cost of one large puzzle.
2.The coefficient 5 in the equation gives the cost of one small puzzle.
3.The constant 128 in the equation gives the total number of puzzles sold.
4.The coefficient 8 in the equation gives the cost of one large puzzle.
5.The coefficient 8 in the equation gives the cost of one small puzzle.
Answer:
2&4
Step-by-step explanation:
The equation 8l+5s=128 represents puzzle sales earnings, where the coefficients correspond to puzzle costs correctly.
Statements 1, 2, and 4 are correct regarding the equation 8l + 5s = 128:
The coefficient 5 in the equation gives the cost of one small puzzle.The coefficient 5 in the equation gives the cost of one small puzzle.The coefficient 8 in the equation gives the cost of one large puzzle.Maya is taking her friends to a concert. Each ticket costs
$25, and souvenir T-shirts are $12 each. There is a $4
service fee for the entire purchase. She has $130. If she
buys 3 tickets, what is the maximum number of T-shirts
she can buy?
Solve the inequality 25x + 12y+ 4 s 130, where x = number of tickets and
y= number of T-shirts, to answer the question.
A=12
B=3
C=4
D= 5
Answer:
C=4
Step-by-step explanation:
So you multiply 3 tickets by 25 and you get $75. You then subtract $130 from $75 and you get $55 you then multiply 12 by 4 to get $48. And that's how 4 is the correct answer.
Answer:
4 Is the answer
Step-by-step explanation:
lma0 i gotchu
which lists the fractions 2/3 , 5/6, 7/12 from least to greatest
Let p: A student plays basketball.
Let q: A student plays tennis.
How many students play both basketball and tennis?
Answer: 4 students
Step-by-step explanation:
We know that p is the set formed by the students who play basketball and q is the group formed by the students who play tennis, in this case we look for the group of students who play both sports. That is, we look for the intersection of the set p with the set q
In the Venn diagram shown, each set is represented by a circle and the area where both circles intersect represents the set formed by the intersection of p and q.
This diagram shows that the number of students who play tennis and play basketball is 4
Answer:
A
Step-by-step explanation:
whats the answer anyone
Answer:
Middle Answer.
Step-by-step explanation:
Given that Micah intends to spend less than $150 on paint and brushes
Hence
Cost of brushes+ cost of paint ≤ 150
150 ≥ Cost of brushes+ cost of paint
150 ≥ Cost of brushes+ (price of paint per gal) · (number of gallons)
Given that he buys x gal of paint,
For middle answer:
150 ≥ 42.21 + 21.64x (which matches the inequality in the question, so this is the right answer)
The 42.21 would represent the money spent on paintbrushes. This because the amount of money spent on paintbrushes doesn't change (it's a set amount). You can tell this by the fact that 42.21 is not being multiplied by anything (the 42.21 cannot change at all)
The 21.64x is the cost of paint per gallon.
Cost of paint per gallon means that the cost changes depending on many gallons you are getting.
The 21.64 represents the cost of 1 gallon of paint, and the 'x' represents the number of gallons.
------------------------------------------------------
So the Answer is option 2:
$42.21 on paintbrushes
Paint costs $21.64 per gallon
5(x-4)+3x-9x=6-(2x+5)+8x
Answer:
The value of x is -3
Step-by-step explanation:
We need to solve the given equation and find value of x
5(x-4)+3x-9x=6-(2x+5)+8x
First solving the brackets
5x-20+3x-9x = 6-2x-5+8x
Now combining the like terms,
5x+3x-9x-20 = -2x+8x+6-5
8x-9x-20 = 6x +1
-x-20=6x+1
Now moving x terms on one side and constants on other
6x+x=-20-1
7x = -21
Dividing both sides by 7
7x/7 = -21/7
x = -3
So, the value of x is -3
PLEASE HELP ME ASAP.....
MATHS.
In a triangle ABC, AD is the bisector of angle A ....If AB=5.6cm ,AC=4cm and DC=3cm, find BD and DC
PLS HELP ME
Step-by-step answer:
Given:
In a triangle ABC, AD is the bisector of angle A ....If AB=5.6cm ,AC=4cm and DC=3cm, find BD and DC
This problem can be solved by direct application of the angle bisector theorem, which states that the division of the side opposite to the bisected angles is proportional to the respective sides.
Here we have:
Bisector: AD
Side divided: DC = 3 cm
Length of AB = 5.6
Length of AC = 4.0
Then BD = AB/AC * DC = 5.6/4.0 * 3 = 4.2
BC = BD+DC = 4.2+3 = 7.2
Could ABC be congruent to ADC by SSS? Explain.
Answer:
To be determined (picture???)
Step-by-step explanation:
SSS means: side - side - side
This means that when you look at the two triangles, in this case ABC and ADC their sides MUST be corresponding to be congruent (equal). This is easily identifiable by the tics or little dash marks you see on the triangles. If the dashes correspond to the same sides (hence side-side-side rule) then the theorem is proven correct and the triangles of congruent. Take a look at the attached image for an example :D
The graph of F(x), shown below, has the same shape as the graph of
G(x) = x3, but it is shifted down 1 unit. What is its equation?
F(x) =
Answer:
x^3-1
Step-by-step explanation:
f(x)=g(x)-1 since was shifted down 1 unit x^3-1
f(x)=g(x)+1 would have been a shift up of 1 unit x^3+1
f(x)=g(x-1) shifted right 1 unit (x-1)^3
f(x)=g(x+1) shifted left one unit (x+1)^3
Anyways the answer is f(x)=x^3-1
What is the slope of a line that is parallel to the line shown
on the graph?
A -4
B -1/4
C 1/4
D 4
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Parallel lines have the same slope
The slope of the line shown is [tex]\frac{1}{4}[/tex]
Therefore, the slope of the parallel line will also be [tex]\frac{1}{4}[/tex]
An image of a parabolic lens is projected onto a graph.The y-intercept of the graph is (0, 90), and the zeros are 5 and 9. Which equation models the function? y = 90(x – 5)(x – 9) y = 2(x – 5)(x – 9) y = 90(x + 5)(x + 9) y = 2(x + 5)(x + 9)
Step-by-step explanation:
If the zeros are 5 and 9, then the equation will have the form:
y = a (x–5) (x–9)
We know the point (0, 90) is on the curve, so we can use this to find the coefficient a:
90 = a (0–5) (0–9)
90 = 45a
a = 2
y = 2 (x – 5) (x – 9)
Answer:
y = 2 (x-5) (x-9)
Step-by-step explanation:
Edge
6. You have $20.00 to spend. How many different food/drink combinations could you have?
List some of the combinations. Use the space on this page to show your work.
Food/Drink Item
Price
Fries
$2.75
Hot Dog
$1.75
Hamburger
$2.15
Cheeseburger
$2.25
Soda
$1.25
Ice Cream
$1.50
Cookies (3)
$1.00
Water
$1.00
Which is equivalent to 5√1,215^x
Answer:
here is the answer look at picture above
what is the sum of the arithmetic sequence 3,9,15..., if there are 22 terms
Answer:
The arithmetic sequence given above has a first term (a1) equal to 3 and the common difference (d) equal to 6. The sum of the first n terms of the sequence is calculated through the equation,
Sn = (n/ 2) x (2a1 + (n - 1) x d)
Substituting,
S22 = (22 / 2) x (2x3 + (22 - 1) x 6) = 1452
Therefore, the answer is the first choice, 1452.
Step-by-step explanation:
Please mark brainliest and have a great day!
Answer:
1452.
Step-by-step explanation:
Sum of n terms = n/2 [2a1 + d(n - 1) ] where a1 = the first term and d = the common difference.
Here a1 = 3 and d = 9-3 = 6.
So S22 = 11 [2*3 + 6(22-1)]
= 11 * 132
= 1452
Which of the following descriptions matches the tree diagram below?
Answer:
Its the first option.
Step-by-step explanation:
Game 1 - you win or lose.
Game 2 - you win or lose
So that makes 4 possible branches along the tree.
WW, WL LW and LL.
Hector surveyed students in his homeroom about how they got to school last Monday and noted whether they arrive on time or late. The data he gathered is shown in the two-way table below.
According to the data in the table, what percentage of students in Hector’s homeroom did not take the bus to school last Monday?
Answer: 48%
Step-by-step explanation:
25 students total
8 do not take the bus and are on time
4 do not take the bus and arrive late
12 in total do not take the bus
12/25total students = 0.48 and to get the percentage you multiply by 100 this gives you 48%
Ramon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?
Answer:
The graph of his initial step in the attached figure
Step-by-step explanation:
we have
[tex]f(x)=3(4)^{x}[/tex]
This is a exponential function of the form
[tex]y=a(b)^{x}[/tex]
where
a is the initial value
b is the base
r is the rate of change
In this problem
a=3 ---> the initial value ( value of the function when the value of x is equal to zero)
b=4
b=1+r ----> 4=1+r ----> r=3 ---> r=300%
therefore
The initial value is the point (0,3)
The graph of his initial step in the attached figure
Calculista · Quality Assurance - seems pretty accurate i was looking at their answer and he went as far as actually graphing it out for everyone... it shure as **** helped me not get confused. Thanks Calculista you got big brain lol!
A system of linear equations contains two equations with negative reciprocal slopes. How many solutions will it have?
Answer:
1 solution
Step-by-step explanation:
The number of solutions will be one.
( i.e. the system of equation has a unique solution )
Step-by-step explanation:We are given a system of equations such that:
One of the equation has a negative reciprocal slope as compared to the other.
This means that the two lines are perpendicular.
Hence, the two lines will definitely meet or intersect at just one point and at right angles.
Also we know that the solutions of a system of linear equations are the points where the two lines intersect.
Hence, we will have just one solution.
( since here the two lines will intersect at just one point )
Recipe ingredients remain in a constant ratio no matter how many servings are prepared. Which table shows a possible
ratio table for ingredients X and Y for the given number of servings?
Answer:
Table N 4
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
Verify the table 4
For x=1, y=2
so
y/x=2/1=2
For x=2, y=4
so
y/x=4/2=2
For x=3, y=6
so
y/x=6/3=2
therefore
The constant of proportionality k is equal to 2 and the equation is equal to
y=2x
The table 4 represent a direct variation, therefore is a possible ratio table for ingredients X and Y
Answer:
The correct option is 4.
Step-by-step explanation:
It given that recipe ingredients remain in a constant ratio no matter how many servings are prepared.
It means the relation between x and y is
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
where k is constant of proportionality.
We need to find a possible ratio table for ingredients X and Y for the given number of servings.
In table 1,
[tex]\frac{y_1}{x_1}=\frac{2}{1}[/tex]
[tex]\frac{y_2}{x_2}=\frac{3}{2}[/tex]
[tex]\frac{y_1}{x_1}\neq \frac{y_2}{x_2}[/tex]
Option 1 is incorrect.
In table 2,
[tex]\frac{y_1}{x_1}=\frac{2}{1}=2[/tex]
[tex]\frac{y_2}{x_2}=\frac{4}{2}=2[/tex]
[tex]\frac{y_3}{x_3}=\frac{8}{3}[/tex]
[tex]\frac{y_1}{x_1}\neq \frac{y_3}{x_3}[/tex]
Option 2 is incorrect.
In table 3,
[tex]\frac{y_1}{x_1}=\frac{2}{1}[/tex]
[tex]\frac{y_2}{x_2}=\frac{3}{2}[/tex]
[tex]\frac{y_1}{x_1}\neq \frac{y_2}{x_2}[/tex]
Option 3 is incorrect.
In table 4,
[tex]\frac{y_1}{x_1}=\frac{2}{1}=2[/tex]
[tex]\frac{y_2}{x_2}=\frac{4}{2}=2[/tex]
[tex]\frac{y_3}{x_3}=\frac{6}{3}=2[/tex]
[tex]\frac{y_}{x_1}=\frac{y_2}{x_2}=\frac{y_3}{x_3}[/tex]
Option 4 shows a possible ratio table for ingredients X and Y for the given number of servings.
Therefore the correct option is 4.
What are the coordinates of point P on the coordinate grid below?
A four-quadrant coordinate grid from negative 1 to 1 is drawn with grid lines to show increments of 1 over 8. Point P is plotted at the sixth grid line to the left of the y-axis and the second grid line above the x-axis.
the ordered pair 6 over 8, negative 2 over 8
the ordered pair negative 6 over 8, 2 over 8
the ordered pair negative 6 over 8, negative 2 over 8
the ordered pair 6 over 8, 2 over 8
Answer:
the ordered pair negative 6 over 8, 2 over 8
Step-by-step explanation:
Point P is plotted at the sixth grid line to the left of the y-axis
Going to the left of the y axis means negative, to the right is positive
We go left 6 units, each unit is 1/8
-6 * 1/6 = -6/8
That is the x coordinate
Second grid line above the x-axis.
Going up is positive and down would be negative
We go up 2 units, each unit is 1/8
+2 * 1/8= 2/8
That is the y coordinate
(-6/8, 2/8)
Answer:
Second grid line above the x-axis.
Going up is positive and down would be negative
We go up 2 units, each unit is 1/8
+2 * 1/8= 2/8
That is the y coordinate
(-6/8, 2/8)