The equation of the function which is graphed on the right is specified by: Option C: y = 2^{x-2} + 3
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
Since there is no graph available, we will work with the image attached below.
The function, as visible is tending to output 3 and x goes more and more negative.
That means:
[tex]\lim_{x\rightarrow -\infty}f(x) = 3[/tex] (assuming the predicted pattern is true).
Checking this for all the options:
Case 1: [tex]y = f(x) = 2^{x+3} - 2[/tex]
[tex]\lim_{x\rightarrow -\infty}f(x) = \lim_{x\rightarrow -\infty} 2^{x+3} -2 = -2[/tex]
Thus, the graph doesn't belong to this function.
Case 2: [tex]y = f(x) = 2^{x-3} + 2[/tex]
[tex]\lim_{x\rightarrow -\infty} f(x) = \lim_{x\rightarrow -\infty}2^{x-3} + 2 = 2[/tex]
Thus, the graph doesn't belong to this function.
Case 3: [tex]y = f(x) = 2^{x-2} +3[/tex]
[tex]\lim_{x\rightarrow -\infty}f(x) = \lim_{x\rightarrow -\infty} 2^{x-2} +3 = 3[/tex]
Thus, the graph may belong to this function. (we are still not sure since the last option may also have same limit, which if is found to be true, then additional findings would've to be done too).
Case 4: [tex]y = f(x) = 2^{x-2} - 3[/tex]
[tex]\lim_{x\rightarrow -\infty}f(x) = \lim_{x\rightarrow -\infty} 2^{x-2} -3 = -3[/tex]
Thus, the graph doesn't belong to this function.
Thus, assuming at least one option is true, the graph of the considered function on the right is of the function [tex]y = f(x) = 2^{x-2} +3[/tex]
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Answer:
c
Step-by-step explanation:
A bus travels 25 yards in 1 second. How many miles will it travel in 2 hours?
Answer:
102 miles
Step-by-step explanation:
In 2 hours there are 7200 seconds ([tex]60*60 = 3600 * 2 = 7200[/tex])
In one second the bus travels 25 yards, so; [tex]7200 * 25 = 180,000 yards[/tex]
Converting yards to miles is: [tex]x (yards) / 1760[/tex]
[tex]180000/1760 = 102.2727272...[/tex]
∴ The bus will travel 102 miles in 2 hours.
you flip a coin and get heads 11 times, so the chance of getting heads in 11/30. Is this an example of theoretical or expiremntal probabilty
can someone help me out with this question
bh step by step procedure?
Answer:
60°
Step-by-step explanation:
the angle Θ between vectors a and b is
cosΘ = [tex]\frac{a.b}{|a||b|}[/tex] = [tex]\frac{\frac{15}{2} }{3(5)}[/tex] = [tex]\frac{\frac{15}{2} }{15}[/tex] = [tex]\frac{1}{2}[/tex] , then
Θ = [tex]cos^{-1}[/tex] ( [tex]\frac{1}{2}[/tex] ) = 60°
Answer:
cos θ= 60°
Step-by-step explanation:
cos θ= a . b/।a। ।b।
=15/2/3×5
=15/30
=1/2
cos θ=cos60°
θ=60
What is the measure of z?
Needing help badlyyyyyy
Answer:
D, D, B
Step-by-step explanation:
multiply 744 by 1,000 to get your meters.
7 times the cost of each lawn, X will equal 210.
25 minus 12 is 13
this holds true for the one below also
Can someone help me
Answer:
A) 24
Step-by-step explanation:
½(6)(6+2) = ½ (48) = 24
store pays $50 for a pair of shoes. The markup is 25%.
a. What is the selling price for the shoes?
The selling price is $_
.
Question 2
b. What is the total cost for a person to buy the shoes including a 6% sales tax?
The total cost is $_
.
Answer:
75%
Step-by-step explanation:
Answer:
The selling price is $62.50 And b is is 75%
Step-by-step explanation:
HELP ME!! I'LL GIVE BRAINLYIEST!!
What is b and the linear equation?
Rebecca and Jago are proving the Pythagorean Theorem for a triangle. They arrange four congruent right triangles with sides
r
,
s
,
and
t
in the shape of a square, as shown.
Which equation could Rebecca and Jago use in their proof?
I'm sure the answer is B if it's not B it's A trust
the diagram shows a right angled triangle 15cm 37 degrees
Answer:
h = 11.3 cm
use tane rule:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
Here:
x = 37°opposite = hadjacent = 15 cm=========
[tex]\hookrightarrow \sf tan(37)= \dfrac{h}{15}[/tex]
[tex]\hookrightarrow \sf h = tan(37) * 15[/tex]
[tex]\hookrightarrow \sf h = 11.3 \ cm[/tex]
How to get rid of a square root in the denominator?.
Step-by-step explanation:
you multiply both the top and bottom by the root if it was alone.
let's say if we had (1 - sqrt(2)) in the denominator. here we multiply both the numerator and the denominator by the conjugate.
the conjugate is formed by changing the sign between two terms in a binomial. so in this case the conjugate is
(sqrt(2) -1)
make sure to ask if you need any further guidance :)
I do not know this answer Write an expression for the operation described below.
add a to 4
Answer:An expression for the sequence of operations described is: In this exercise, you're required to write an mathematical (algebraic) expression
Step-by-step explanation:hope this can help you :)
WILL GIVE BRAINLIEST (08.03) Consider the following pair of equations:
y = 3x + 3
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answer:
(- 2, - 3 )
Step-by-step explanation:
y = 3x + 3 → (1)
y = x - 1 → (2)
substitute y = 3x + 3 into (2)
3x + 3 = x - 1 ( subtract x from both sides )
2x + 3 = - 1 ( subtract 3 from both sides )
2x = - 4 ( divide both sides by 2 )
x = - 2
substitute x = - 2 into either of the 2 equations and evaluate for y
substituting into (2)
y = - 2 - 1 = - 3
solution is (- 2, - 3 )
Answer:
y = -3, x = -2
Step-by-step explanation:
1. Substitute "y = x - 1" in for y in the first equation:
x - 1 = 3x + 3
2. Isolate x:
x = 3x + 3 + 1
3. Combine like terms:
-2x = 4
4. Solve for x:
-2x/-2 = 4/-2
x = -2
5. Solve for y with substitution (using the second equation):
y = -2 - 1
y = -3
hope this helps!
A student uses the equation tangent theta = startfraction s squared over 49 endfraction to represent the speed, s, in feet per second, of a toy car driving around a circular track having an angle of incline theta, where sine theta = one-half. to solve the problem, the student used the given value of sine theta to find the value of tangent theta and then substituted the value of tangent theta in the equation above to solve for s. what is the approximate value of s, the speed of the car in feet per second? 5.3 7.5 9.2 28.3
The approximate value of the speed of the car in feet per second is A. 5.32 ft/s.
How to find the spped?An equation is an expression that shows the relationship between two or more numbers and variables. In this case, tan(θ) = s² / 49
sinθ = 1/2
θ = sin⁻¹ (0.5) = 30⁰
tan(30) = s² / 49
s = 5.32 ft/s
Therefore, the approximate value of the speed of the car in feet per second is 5.32 ft/s.
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Which graph is defined by the function given below?
y= (x + 2)(x + 7)
Answer:
Graph A
Step-by-step explanation:
solve for x x(x+3)=2(x+15)
Answer:
x = -27
Step-by-step explanation:
x(x+3)=2(x+15)
x+3=2x+30
x+3-2x+30
x-2x=30-3
-x=30-3
-x=27
x = -27
The bus will leave in 38 minutes. what time will it leave ?
Answer:
4:08
Step-by-step explanation:
The current time is 3:30, 38 minutes later would be 4:08
Select all ratios that are in their simplest form.A 25:21B 4:22C 6:28D 5:25E 30:27
Factor. Step by step.
Answer:
(3x-2)^2
Step-by-step explanation:
3^2x^2-2*3x*2+3^2
(3x)^2 -2*3x*2+2^2
And youll get (3x-2)^2
Please answer. Correct answer will be brainliest.
Answer:
161
Step-by-step explanation:
It's a system of equations, let's solve it step-by-step!
Equation: [3 * 2^5 + 13 * (-2)] + 7[8 - (4 - 9)]
2^5 = 32
so we have [3 * 32 + 13 * (-2)] + 7[8 - (4 - 9)].
3 * 32 = 96
so we have [96 + 13 * (-2)] + 7[8 - (4 - 9)].
13 * (-2) = -26
so we have [96 - 26] + 7[8 - (4 - 9)].
96 - 26 = 70
so we have 70 + 7[8 - (4 - 9)].
4 - 9 = -5
so we have 70 + 7[8 - (-5)].
8 - (-5) = 13 (the signs cancel out)
so we have 70 + 7[13].
7 * 13 = 91
so we have 70 + 91.
70 + 91 = 161
Therefore our answer is 161.
triangle with side lengths 4 feet, 5 feet, and 8 feet
Answer:
Yed, it is possible as
Step-by-step explanation:
4 + 5 = 9
So, sum of two sides of a triangle is always greater than the third side(largest one)
The box-and-whisker plot below represents some data set. What is the value of the
lower quartile?
48
50
52
54
56
58
60
62
Answer:
53
Step-by-step explanation:
Given an array of integers nums and an integer target, return indices of the two numbers such that they add up to target.
We can try for loops along with conditional statements to get the indices of the needed numbers.
What is zero-based indexing?Zero-based indexing indexes the elements of an array or such container starting from 0, instead of starting from 1 (which is what we usually do in real life).
For this case, assuming we want to write code in python, and array being simple list, plus we want the index of only first two numbers found which add up to the target, we have:
for idx_1 in range(len(arr)//2 + 2):
num_1 = arr[idx_1]
found = 0
for idx_2 in range(idx_1 + 1, len(arr)):
num_2 = arr[idx_2]
if target == num_1 + num_2:
print(idx_1, idx_2)
found = 1
break
if found: break
Here we used 'range' function for first loop, which defaulty generates integers from 0, but can generate integers from whatever integer. Like in the second loop, it generates number from idx_1 + 1. Also, it doesn't include the last integer, given by the upper limit for the range.
This python code gives the indices of a pair of two numbers from the array given which adds up to the target.
Thus, we can try for loops along with conditional statements to get the indices of the needed numbers.
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PLEASE HURRY
Which graph shows the solution set for 2x+3 >-9?
-8-7-6-54-3-2-1012
+
-8-76-54-3-2-1012
-87-6-5-4-3-2-1012
-87-6-5-4
9
9
-1 0 1 2
The graph that represents the solution set for x > -6 is Graph D.
What is Number line?In mathematics, a number line is a straight line that represents numbers and their relative positions. It is a visual representation of the real number system.
To find the solution set for the inequality 2x + 3 > -9,
2x + 3 > -9
Subtract 3 from both sides:
2x > -12
Divide both sides by 2:
x > -6
The solution set for the inequality is x > -6, which means that x is greater than -6.
So, Among the given graphs, the graph that represents the solution set for x > -6 is Graph D.
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Which of the numbers below are common multiples of 4 and
6? Select all that apply.
A) 8
B) 12
C) 18
D) 24
E) 48
Answer:
B, D, E
Step-by-step explanation:
Two unique letters are chosen at random from the alphabet. What is the approximate probability that the first letter chosen is a? 0. 0385 0. 0400 0. 0769 0. 800.
Answer:
Option A :- 0. 0385
Step-by-step explanation:
Since a is the first letter in the alphabet
and in total there are 26 alphabet
We divide 1 by 26
⇢ 1 ÷ 26
⇢ 0.038461538461538
⇢ 0. 0385
Probability = 0. 0385
~Done~
Answer:
[tex]\huge\boxed{\bf\:0. 0385}[/tex]
Step-by-step explanation:
Told number of alphabets in the English language
= {A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z}
= 26 alphabets.
Out of all these 26 alphabets, we need to find the probability that the letter chosen at random will be 'A'.
Probability that the letter chosen at random is 'A'
= Alphabet 'A' / Total number of letters
= 1/26
= 0.0385
[tex]\rule{150pt}{2pt}[/tex]
HELP PLEASE. Question is in the file attached
Answer:
A
Step-by-step explanation:
a. 4350 * 0.25 = 1087.50, food + transportation = 500 + 150 = 650, 650<1087.50, correct
b. 4350*0.5=2175, 1600 doesnt equal 2175, wrong
c. 4350 * 0.2 = 870, 500<870, wrong
d. 200<1087.50, wrong
Find the area of each face of the triangular prism and the total surface area.
20 cm
10 cm
6 cm
20 cm
8 cm
Answer:
Area: Bottom face: A = (20 cm)(8 cm) = 160 cm²
Back face: A = (20 cm)(6 cm) = 120 cm²
Sloped face: A = (20 cm)(10 cm) = 200 cm²
Total: 528 cm²
Step-by-step explanation:
Hope this helps!
Find the lateral surface area of the cylinder. Use 3.14 for π, and round your answer to the nearest hundredth. Refer to your STAAR 8th Grade Math Reference Sheet for the appropriate formula.
A) 376.99 cm2
B) 362.16 cm2
C) 367.59 cm2
D) 354.18 cm2
I have a 10 question quiz that I'm really struggling on because i don't know how to work out problems like these, so if someone could please help me that would be great.
The area of the cylinder is the amount of space on it.
Using the assumed values, the lateral surface area of the cylinder is 314 square centimeter
How to determine the lateral surface area?The lateral surface area of a cylinder is:
L = 2πrh
The question is incomplete. Assume the following parameters
Radius, r = 10
Height, h = 5.
Then we have:
L = 2 * 3.14 * 10 * 5
Evaluate the product
L = 314
Using the assumed values, the lateral surface area of the cylinder is 314 square centimeter
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which functions corresponds with the table
Answer:
what table???
Step-by-step explanation: