Answers
Answer:
y = (1/2)^x-3 + 1
Step-by-step explanation:
The correct expression of the given graph is y = [tex](1/2)^{x - 3} + 1[/tex]
What is parabola?A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix). The issue of parabola is intertwined with the topic of conic sections, and all of its principles are discussed here.
In the given figure,
The curve represent the parabola
Since the curve is passing through
(0,9) from the Y axis and touches x axis at infinity
Now we can use hit and trial method to find the exact equation
So we plot the figure one by one
Hence,
we get the correct equation,
y = [tex](1/2)^{x - 3} + 1[/tex]
To learn more about parabola visit:
https://brainly.com/question/29267743
#SPJ2
Related Questions
What is the area of sector ACB? Leave your answer in terms of pi.
Answers
Answer:
c
Step-by-step explanation:
Question 17
5 pts
The population of fish in an aquarium can be modeled after exponential growth. If there
were originally 3 fish and after 6 weeks there were 31 fish, how many fish would there
be after 14 weeks?
321 fish
698 fish
452 fish
815 fish
Answers
Answer:
698 fishes
Step-by-step explanation:
Generally, we can represent an exponential growth function as;
y = a•(1 + r)^t
originally, there were 3 fishes
The original value in this case means a = 3
After 6 weeks, there were 31
31 in this case is y
r is the increase percentage or rate
t is the time
So, we have it that;
31 = 3•(1 + r)^6
31/3 = (1 + r)^6
10.33 = (1 + r)^6
ln 10.33 = 6 ln (1 + r)
ln 10.33/6 = ln (1 + r)
e^0.3892 = (1 + r)
1 + r = 1.476
r = 1.476-1
r = 0.476 or 47.6%
So the growth percentage or rate is 47.6%
For 14 weeks, we simply have the value of t as 14;
So ;
y = 3•(1 + 0.476)^14
y = 3(1.476)^14
y = 698 fishes
The wages w (in £) June earns is the number of hours she works n multiplied by her hourly rate r (in £ per hour). Enter a formula for June's wages and enter the wage she would earn if she worked 17 hours at a rate of £7.30 per hour
Answers
Answer:
Wages she earn = £124.1
Step-by-step explanation:
Given:
Number of hour work in June = 17 hour
Rate = £7.30 per hour
Find:
Wages she earn
Computation:
Wages she earn = Number of hour work in June x Rate
Wages she earn = 17 x £7.30
Wages she earn = £124.1
Out of 1,200 students that attend Norman Rockwell Middle School, how many would most likely sign up for after school tutoring, if 48 out of 80 students randomly surveyed said they would like to have extra help after school?
Answers
Answer:
720
Step-by-step explanation:
Out of 80 students the no. of students who sign up=48
So, out of 1200 students 48×1200÷80=720 students sign up.
plz help me on this one its really hard :(
Answers
Answer:
It will be 63.9
Step-by-step explanation:
Trust me, I got it right
Answer:
63.6mm² (the last option)
Explanation:
the formula for calculating the area of a circle is πr², where r is the length of the radius.
in this case, we know that 9mm is the length of the diameter of the circle, so we can divide that by 2 to get 4.5mm for the length of the radius.
the question has instructed us to use 3.14 for π (pi), so we can substitute these values into the formula:
πr² = 3.14 × 4.5² = 63.585mm²
we can now round this to the nearest tenth to get 63.6mm², which would be the last option.
i hope this helps! :D
Find the length of the missing side x ... please help me
Answers
Answer:
x = 10
Step-by-step explanation:
Use Pythagorean Theorem
c2 = a2 + b2
Here you must find the hypotenuse length (x) which is c in the equation. Thus substitute the values given into the equation:
c2 = 6^2 + 8^2
c2 = 100
Square root both sides so
c = 10
Thus length of x is 10
Dante buys 6 1/6 pounds of turkey and ham at the store. The weight of the turkey is 3 1/2 pounds. Which equation and solution shoes how much ham Dante bought?
A. 6 1/6 + 3 1/2=h h = 9 2/3
B. 3 1/2 +h = 6 1/6 h = 2 2/3
C. h − 3 1/2 = 6 1/6 h = 9 2/3
D. 3 1/2h = 6 1/6 h = 1 16/21
Answers
Answer:
prob a
Step-by-step explanation:
please answer xoxo will mark brainliest
Answers
Answer:22:2x10x10x10x10x10x10x10x10x10x10... 23:3.4x10 divided by 2.... 24:1.5x10 divided by 9...... 25:5.9x10x10x10x10x10x10x10x10x10x10.... 26: 4.8 x 10 divided by 3..... 27: 6.25x10x10x10x10x10.
Step-by-step explanation:I divide because on some of them it's a negative power so instead of multiplying I'll divide. Hope this helps
the tax rate is 8.5% what is the tax on $95 round to the nearest hundredth
Answers
Answer:
this should be right 103.075
Step-by-step explanation:
what is the answer to this.....
56kg X 3/8
Answers
Answer:
21 Kg
Step-by-step explanation:
Divide 56 Kg by 8 and multiply the answer by 3 , that is
56 Kg ÷ 8 = 7 Kg , then
3 × 7Kg = 21 Kg
The price of a technology stock was $9.84 yesterday. Today, the price fell to $9.73. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answers
Answer:
1.1 percent
Step-by-step explanation:
[(9.73 - 9.84) / 9.84 ] * 100 = -1.1 percent change = 1.1 percent decrease
standard deviation of the data. 221,228,218,319,224
Answers
Answer:
Population: 38.64. Sample: 43.20
Parallelogram ABCD has
coordinates A(1,5), B(6,3),
C(3,1), and D(2,1). What are the
coordinates of E, the intersection
of diagonals AC and BD?
Answers
Answer:
Step-by-step explanation:
Evaluate b2c-1 for b = -4 and c = 2.
-8
4
8
32
Answers
Answer:
-8
the way you meant to write it was -4^2 x 2^-1
Step-by-step explanation:
Answer:
it is 8 but it's not negative 8
I tried negative 8 and it said it was wrong so it must be 8
Can someone help me please
I will mark brainiest
Don’t need to show work
Answers
Answer:
24 classes
Step-by-step explanation:
Let
x = number of classes
Devaughn is a member at the local gym = 120 + 5x
Jerome is not a member = 10x
Equate the total cost of both individuals
120 + 5x = 10x
120 = 10x - 5x
120 = 5x
x = 120/5
x = 24 classes
The total cost of Devaughn and the total cost of Jerome will be equal in 24 classes
Write and equation and find the value of x in the following problems
x =
degrees
Answers
Answer:
x = 5
Step-by-step explanation:
6x and 30 are vertically opposite angles and are congruent, then
6x = 30 ( divide both sides by 6 )
x = 5
Use what you know about the angle sum theorem for triangles and your algebra skills to solve for x and find the measure of all three angles:
Answers
Answer:
2x° = 45°, 3x° = 67.5°
Step-by-step explanation:
Sum of angles in a triangle = 180°
2x+3x+3x=180°
8x=180°
x=22.5°
2x=22.5°x2=45°
3x=22.5°x3=67.5°
Solve for x.each figure is a parallelogram.show steps
Answers
Answer:
opposite sides of a parallelogram are equal
2x+15=x+15
2x-x=15-15
x=0
Answer:
x = 0
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, that is
ST = RU , substitute values
2x + 15 = x + 15 ( subtract x from both sides )
x + 15 = 15 ( subtract 15 from both sides )
x = 0
The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find the discounted price?
plz answer in comments i have ads
Answers
Answer:
All you would do is times 12 by .15 or 15% you get 1.8 then all you do is 12 minus 1.8 you get $10.20 that is the price of a discounted pizza
I hope this helps
Find the value of X. Please help ASAP!! I have no idea how to do this and I have to have it done soon!!
Answers
Answer:
[tex]x=\frac{3}{4}=0.75[/tex]
Step-by-step explanation:
From the shape of the quadrilateral, we can assume that it is a parallelogram. In a parallelogram, opposite sides are congruent and thus have the same length.
In this case, we are given that two opposite sides have lengths of [tex]4x+5[/tex] and [tex]8[/tex]. Therefore, since the quantities must be equal, we can write the following equation to solve for [tex]x[/tex]: [tex]4x+5=8[/tex]. Solving for [tex]x[/tex], we get:
[tex]4x+5=8[/tex]
[tex]4x=3[/tex] (Use the Subtraction Property of Equality to subtract [tex]5[/tex] from both sides of the equation, which isolates [tex]x[/tex])
[tex]x=\frac{3}{4} =0.75[/tex] (Use the Division Property of Equality to divide both sides of the equation by [tex]4[/tex] to get rid of [tex]x[/tex]'s coefficient)
Hope this helps!
what is the answer (2x+1)(3x−4)=0
Answers
Answer:
x= 4/3
x= -1/2
Step-by-step explanation:
2x (3x-4) +1(3x-4) = 0
Distribute
6x^-8x +1(3x -4) = 0
Multiply by 1
6x^2 -8x +3x-4=0
Answer:
(2x + 1) ( 3x - 4) = 0
solve by factoring
2x + 1 = 0
2x = -1
divided by 2 on both sides
x = -1/2
3x - 4 = 0
3x = 4
divided by 3 on both sides
x = 4/3
x¹ = -1/2 , x² = 4/3 is the solution
Please help Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of each item did she buy? Show your work
Will give points
Show your work it’s sublimation
Will give points
Answers
Answer: Chnager your profile pic
Step-by-step explanation:
Answer:
noooooo nittt
Step-by-step explanation:well urv gay
Three line segments have measures of 17 units, 11 units and 12 units. Will the segments make a triangle?
Answers
Answer:
Yes
Step-by-step explanation:
Yes, they will form a triangle. This is so because when testing for, we use the simple and logical analysis of
Adding up the two shorter sides > the third longest side.
In the example of the question we have here. The two short sides are 11 and 12 respectively. Adding them up together, we have
11 + 12 = 23
And the third longest side to be 17. Now, is 23 greater than 17 or not?
Of course it is, so yes, the sides will form a triangle.
A rectangular prism is 114 inch tall, 112 inch wide, and 2 inches long. How many unit cubes with side length of 14 inch does it take to fill the rectangular prism?
Answers
Answer: 9
Step-by-step explanation:
Given
The dimension of a rectangular prism is
[tex]L=2\ in[/tex]
[tex]W=112\ in.[/tex]
[tex]h=114\ in.[/tex]
Volume of Prism [tex]V=L\times W\times h[/tex]
[tex]\Rightarrow V=2\times 112\times 114=25,536\ in.^3[/tex]
The volume of the unit cube
[tex]\Rightarrow V_c=14\times 14\times 14=2744\ in.^3[/tex]
Suppose there are n unit cubes to fit in a rectangular prism
[tex]\Rightarrow n=\dfrac{V}{V_c}=\dfrac{25,536}{2744}=9.306\approx 9[/tex]
11 12 + 1 - 43 x for
for x = 6.
a.
Evaluate
- 172
-162
. 367
d. 392
b.
C.
Answers
Answer:
- 125
Step-by-step explanation:
11 × 12 + 1 - 43x
132 + 1 - 43(6)
132 + 1 - 258
133 - 258
- 125
Can someone help me pls?
Answers
Factor 9x + 27.
A9x + 27)
B. 9(x + 3)
C. 3(3x + 3)
D. 3(3x + 7)
Answers
Answer:
the answer is B i think
Step-by-step explanation:
Answer:
9(x+3)
Step-by-step explanation:
9x+27
40% of students play an instrument if 8 represents the amount of students who play an instrument how many students are in this class
Answers
Answer:
500 students
Step-by-step explanation:
rise over run algebra one help please
Answers
Answer:
Slope is -3
Equation is y = -3x + 2
Step-by-step explanation:
(0 , 2) and ( -1 , 5)
m= (y2-y1)/(x2-x1)
m= (5 - 2)/(-1 -0)
m= 3/-1
m= -3
y - y1 = m(x - x1)
y - 2 = -3(x - 0)
y - 2 = -3x + 0
y = -3x + 2
last year ,david earned a salary of d dollars.This year ,he recieved a 1.5% raised.Which expression represents the salary david will earn this year? selet all that apply
A.0.015d
B.0.15d
C.1+0.015d
D.1+0.15d
E.1d+0.015d
F.1d+0.15d
G.1.015d
H.1.15d
Answers
Answer:
E. 1d+0.015d
G. 1.015d
Step-by-step explanation:
A is incorrect, as it only shows the 1.5% raise. B is incorrect, since that would be a 15% raise. C and D are incorrect because it's impossible to add a number with a variable to one without a variable. E is correct because it properly adds 100% (the amount he made without the raise) and 1.5% (the raise) together. F is incorrect because again, it adds 15%. G is correct because it is the total amount he makes, with the raise. H is incorrect because again, it adds 15%.