Answers
The graph located in the upper right corner of the image attached shows the graph of y = 3[x]+1.
In order to solve this problem we have to evaluate the function y = 3[x] + 1 with a group of values.
With x = { -3, -2, -1, 0, 1, 2, 3}:
x = -3
y = 3[-3] + 1 = -9 + 1
y = -8
x = -2
y = 3[-2] + 1 = -6 + 1
y = -5
x = -1
y = 3[-1] + 1 = -3 + 1
y = -2
x = 0
y = 3[0] + 1 = 0 + 1
y = 1
x = 1
y = 3[1] + 1 = 3 + 1
y = 4
x = 2
y = 3[2] + 1 = 6 + 1
y = 7
x = 3
y = 3[3] + 1 = 9 + 1
y = 10
x y
-3 -8
-2 -5
-1 -2
0 1
1 4
2 7
3 10
The graph that shows the function y = 3[x] + 1 is the one located in the upper right corner of the image attached.
Answer:
The answer you picked was correct. I just took the test and that's it.
Step-by-step explanation:
Related Questions
If f(x) =1/9 x-2, what is f-1(x)?
Answers
Answer:
f^-1(x) = 9(x+2)
Step-by-step explanation:
To find the inverse function, exchange x and y and then solve for y
y = 1/9 x -2
Exchange x and y
x = 1/9 y-2
Solve for y
Add 2 to each side
x+2 = 1/9 y-2+2
x+2 = 1/9y
Multiply each side by 9
9(x+2) = 9*1/9y
9(x+2) = y
The inverse function
f^-1(x) = 9(x+2)
Answer:
9x+18
Step-by-step explanation:
[tex]f^{-1}[/tex] means they want you to find the inverse function of y=1/9 x-2.
The inverse is just a swapping of x and y.
People tend to remake the y part the subject again because they want to write it as a function.
Let's start:
[tex]y=\frac{1}{9}x-2[/tex]
Swap x and y:
[tex]x=\frac{1}{9}y-2[/tex]
Now it's time to solve for y:
Add 2 on both sides:
[tex]x+2=\frac{1}{9}y[/tex]
Multiply both sides by 9:
[tex]9(x+2)=y[/tex]
Distribute:
[tex]9x+18=y[/tex]
So The inverse function is:
[tex]f^{-1}(x)=9x+18[/tex]
What is the solution set of - x = -8?
Answers
[tex]-x=-8\\x=8[/tex]
Answer:
x = 8
Step-by-step explanation:
The solution set of - x = -8 is x=8.
- x = -8 = x = 8
40 pts!! please help T^T
A football quarterback enjoys practicing his long passes over 40 yards. He misses the first pass 40% of the time. When he misses on the first pass, he misses the second pass 20% of the time. What is the probability of missing two passes in a row?
Answers
A football quarterback enjoys practicing his long passes over 40 yards. He misses the first pass 40% of the time. When he misses on the first pass, he misses the second pass 20% of the time. What is the probability of missing two passes in a row?
30%
Probability of missing two passes in a row is 0.08.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Given
Event E = A football player misses twice in a row.
P(E) = ?
Event X = Football player misses the first pass
P(X) = 0.4
Event Y = Football player misses just after he first miss
P(Y) = 0.2
Both the events are exclusive so the probability of occurring of these two events can be calculated by the formula:
P(E) = P(X).P(Y)
P(E) = 0.4*0.2
P(E) = 0.08
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There are 2200 students in a school. 52.5% of them are male. How many are female?
Answers
Answer:
1045 females
Step-by-step explanation:
First, lets calculate how many males there are.
52.5% of 2200 = 1155
Then, calculate the difference between the males and the total.
2200-1155=1045
Have a wonderful day!
There are 1045 female students in the school
How to determine the number of female students?The proportion of male students is given as:
Male proportion = 52.5%
This means that the female proportion is:
Female = 100% - 52.5%
Female = 47.5%
The number of female students is then calculated as:
Female = 47.5% * 2200
Evaluate
Female = 1045
Hence, there are 1045 female students in the school
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which is the approximate solution for the system of equations 8x - 10y = -23 and 9x + 10y =-16
Answers
Answer:
The approximate solution is: x = -2.29; y = 0.46
Step-by-step explanation:
8x - 10y = -23
9x + 10y =-16
Since you have -10y in one equation and 10y in the other equation, add the equations to eliminate y and solve for x.
17x = -39
x = -39/17
Now substitute -39/17 for x in the first equation, and solve for y.
8(-39/17) - 10y = -23
-312/17 - 10y = -391/17
-10y = -79/17
y = 79/170
The exact solution is x = -39/17; y = 79/170
The approximate solution is: x = -2.29; y = 0.46
help please Compute the volume of a sphere with a radius of 6 inches. a. 864π in3 b.72π in3 c. 216π in3 d. 288π in3
Answers
Answer:
d. 288π in3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
The radius is 6
V = 4/3 pi 6^3
V = 288 pi in^3
A certain triangle has a 30 angle and a 60 angle.
Answers
Answer:
Step-by-step explanation:
It is B, The longest side is sqrt 3 times as long as the shortest side.
Attached is a image showing the side length rules for 30-60-90 triangles.
Hope this helps :)
30-60-90 triangle is twice the length of the shortest side. That’s why the sine of 30 is 1/2, because it’s half the length of the hypotenuse
Which of the following is a geometric sequence? Help pleaseee!
Answers
=====================================
How I got that answer:
A sequence is geometric if you are able to divide any term over its prior one and get the same result each time. Note with something like choice A we have...
term2/term1 = 13/6 = 2.17 (approx) and term3/term2 = 19/13 = 1.46
the results 2.17 and 1.46 are not the same, so we can rule out choice A
---------
Choice B however, we have...
term2/term1 = 3/(-3) = -1
term3/term2 = -3/3 = -1
term4/term3 = 3/(-3) = -1
each time we get -1, so this is the common ratio. We can multiply each term by the common ratio -1 to get the next term, for instance,
term2 = (common ratio)*(term1) = -1*(-3) = 3
term3 = (common ratio)*(term2) = -1*3 = -3
and so on. This proves that sequence B is geometric. Sequences C and D are not geometric for similar reasoning to choice A.
Factor completely 4h2 + g.
Answers
The expression 4h² + g has no common factors or recognizable factoring patterns, and is thus already in its simplest form; it cannot be factored further.
To factor completely the expression 4h² + g, we would look for common factors or recognizable patterns like the difference of squares, perfect square trinomials, or other factoring techniques. However, since 4h² and g have no common factor and the expression is not a difference or sum of cubes, or any other known factoring pattern, it cannot be factored further (assuming g is a constant). In other factoring scenarios, one might look for techniques like grouping, but that's not applicable here either. Therefore, the expression 4h² + g is already in its simplest, factored form as there are no common factors between the terms.
What is the equation of the line (in point-slope form) that passes through the point (2,3) and is parallel to the line y−9=2/3(x+7)?
Answers
Answer:
[tex]\large\boxed{y-3=\dfrac{2}{3}(x-2)}[/tex]
Step-by-step explanation:
[tex]\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===============================[/tex]
[tex]\text{The point-slope form of an equation of a line:}\\\\y-y_1=m(x-x_1)\\\\m-slope\\\\(x_1,\ y_1)-point\ on\ a\ line\\\\===============================[/tex]
[tex]\text{We have the equation of a line:}\ y-9=\dfrac{2}{3}(x+7)\to m_1=\dfrac{2}{3}.\\\\\text{A slope of parallel line:}\ m_2=m_1=\dfrac{2}{3}.\\\\\text{Put the value of the slope and the coordinates of the point (2, 3)}\\\text{to the equation of a line in point-slope form:}\\\\y-3=\dfrac{2}{3}(x-2)[/tex]
Answer:
The answer is y = -3/2x + 6
Step-by-step explanation:
1. Which kind of triangle is shown?
A.right
B.equilateral
C.isosceles
D.scalene
ANSWER ASAP
Answers
Answer:
I believe it's a scalene triangle
D. Scalene
Hope this helps
Step-by-step explanation:
Scale = No equal sides and No equal angles
In geometry, you can use deductive rules to.
O
A. make conjectures
O
B. prove conjectures
O
C. define terms
O
D. find patterns
Answers
In geometry, you can use deductive rules to prove conjectures
What is Coordinate Geometry?A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.
Deductive reasoning is used in geometry to start with a set of given premises or axioms, and then use logical reasoning and previously established theorems to draw conclusions or prove conjectures.
The main use of deductive rules in geometry is to prove conjectures.
A conjecture is considered proven only when it has been shown that it is logically impossible for it to be false.
Hence, in geometry, you can use deductive rules to Prove conjectures
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A bag contains 4 blue balls, 7 yellow balls and 4 white balls. Event A is defined as drawing a blue ball on the first draw and event B is defined as
drawing a white ball on the second draw. If two balls are drawn from the bag, one after the other and not replaced,
what is P(B|A) expressed in simplest form?
Answers
Final answer:
The conditional probability of drawing a white ball on the second draw after a blue ball has been drawn on the first draw from a bag of balls without replacement is 2/7.
Explanation:
The question asks for the probability of drawing a white ball on the second draw, given that a blue ball has been drawn on the first draw (P(B|A)) from a bag containing 4 blue balls, 7 yellow balls, and 4 white balls, without replacement.
Firstly, we calculate the total number of balls in the bag: 4 blue + 7 yellow + 4 white = 15 balls.
For event A (drawing a blue ball first), there are 4 ways this can happen out of 15 total possibilities, so the probability of A is 4/15. After a blue ball is drawn, there are now 14 balls left in the bag for the second draw.
Since event B is drawing a white ball as the second ball, given that a blue ball has already been drawn on the first draw, there are still 4 white balls left in the bag after event A has occurred. Therefore, the probability of B given A is 4/14, which simplifies to 2/7.
Thus, P(B|A) = 2/7.
A ship at sea, the Gladstone, spots two other ships, the Norman and the Voyager, and measures the angle between them to be 44°. The distance between the Gladstone and the Norman is 4510 yards. The Norman measures an angle of 36° between the Gladstone and the Voyager. To the nearest yard, what is the distance between the Norman and the Voyager?
Answers
Answer:
3181 yards.
Step-by-step explanation:
All the given information can be used to draw a simple diagram. The diagram shows a triangle which is formed by the ships. There are two angles given and one side is given. Therefore, the sine rule must be used to solve the question. The sine rule can be written as:
sin V / v = sin G / g.
It can be observed that the angle V is unknown, however, it can be calculated very easily. Simply use the law of triangle in which all the 3 angles sum up to 180 degrees. So V = 180 degrees - 44 degrees - 36 degrees = 100 degrees. So plugging in v = 4510 yards, V = 100 degrees, G = 44 degrees, and g = x yards into the sine rule gives:
sin 100 / 4510 = sin 44 / x.
Cross multiplying gives:
x*sin 100 = 4510*sin 44
Making x the subject gives:
x = (4510*sin 44)/sin 100.
x = 3181 yards (to the nearest yard).
Therefore, Norman and Voyager are 3181 yards apart from each other!!!
Genesis is using her savings account to pay standard bills over 6 months without replenishing the funds.use the table to write a linear function that models her spending
month. savings account balance in $
0 1,500
2 1,200
4 900
6 600
A. f(x)=150x+600
B. f(x) =-150+1500
C. f(x)= 1/150x+600
D. f(x) = -1/150x+1500
Answers
Answer:
B. f(x) =-150+1500
Step-by-step explanation:
Let x represents the number of months and y represents the savings account balance ( in dollars )
Thus, table would be,
x 0 2 4 6
y 1,500 1,200 900 600,
Let the linear function that represents the above table is,
y = mx + c
By the table,
1500 = m(0) + c ⇒ c = 1500,
Again by the table,
1200 = m(2) + c
1200 = 2m + 1500
-300 = 2m ⇒ m = -150
The function would be,
y = -150x +1500
Since, 900 = -150(4) + 1500
600 = -150(6) + 1500
The whole table satisfy the equation y = -150x +1500,
Hence, the linear function that models the given table is,
y = -150x +1500
Option 'B' is correct.
Answer:
b
Step-by-step explanation:
Find the equation for the linear function that passes through the points ( see photo )
Answers
Answer:
[tex]f(x)=\frac{3}{2}x-2[/tex]
Step-by-step explanation:
step 1
Find the slope m
we have
(-2,-5) and (4,4)
The slope is equal to
[tex]m=\frac{4+5}{4+2}[/tex]
[tex]m=\frac{9}{6}[/tex]
simplify
[tex]m=\frac{3}{2}[/tex]
step 2
Find the equation of the line into slope point form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=\frac{3}{2}[/tex]
[tex](4,4)[/tex]
substitute
[tex]y-4=\frac{3}{2}(x-4)[/tex]
step 3
Convert to slope intercept form
[tex]y-4=\frac{3}{2}(x-4)[/tex]
[tex]y=\frac{3}{2}x-6+4[/tex]
[tex]y=\frac{3}{2}x-2[/tex]
Convert to function notation
[tex]f(x)=\frac{3}{2}x-2[/tex]
Solve the equation 225x^2+4=0
Answers
Answer:
-2i/15 and 2i/15
Step-by-step explanation:
Difference of Squares:
(15x+2i)(15x-2i)
Answers: -2i/15 and 2i/15
a keycode must contain 4 letters followed by 3 numbers. The letters may be any letters of the alphabet. The numbers should be any number from 0 to 5. How many different keycode combinations are there?
Answers
Answer:
98,706,816 combinations
Step-by-step explanation:
Let's make a little graphic of it:
Letters (4): ___ ___ ___ ___
Numbers (3): ___ ___ ___
In the 4 lines/placeholders of the letters, it can be ANY letter of the alphabet, it can be any 26 of them.
In the 3 lines of the numbers, it can be any number from 0 - 5, which is 6 numbers.
Thus we can say:
Letters = 26 * 26 * 26 * 26 = 456,976
Numbers = 6 * 6 * 6 = 216
Their PRODUCT is the number of combinations possible.
456,976 * 216 = 98,706,816 combinations
Write 0.00021 correct to 1 significant figure
Answers
Answer:
0.0002
Step-by-step explanation:
0.00021 is a 2 significant figure .after the decimal point the zero can be counted as a significant figure or not ,it depends
Answer:
0.0002.
Step-by-step explanation:
The first significant figure is 2 and since 1 is the second significant figure ( 1 is < 5) the 2 is retained.
Write a numerical expression for each verbal phrase? How many more pencils Chet has than Benito if Benito has ten pencils and Chet has seventeen pencils
Answers
Answer:
-10 + 17 [OR 17 - 10]
Step-by-step explanation:
To find out how MANY MORE of something someone has THAN the other, you use the operation of deduction [subtraction].
I am joyous to assist you anytime.
Answer:
Chet has 7 more pencils than Benito.
Step-by-step explanation:
We have to Write a numerical expression for each verbal phrase:
Number of pencils Benito has = 10
Number of pencils Chet has = 17
The number of more pencils Chet has than Benito is = [tex]17-10=7[/tex]
Therefore, Chet has 7 more pencils than Benito.
What is true about triangle ABC. Select three options
Answers
Answer: The answer is sin A = cos C
Step-by-step explanation: sin A = cos C
Answer:
It should be A, B, C
Step-by-step explanation:
3 integers less than 25 range of 10 mean of 13
Answers
Answer:
8, 13, 18
Step-by-step explanation:
If we want the mean to be 13, and there are 3 integers, that means the sum of all 3 integers must be 39. I started at 13 and counted 5 up and 5 down, which already makes sure of the range and the mean is 13 (since it's balanced with 13 being the middle), therefore, 13+5 is 18, 13-5=8.
A, B, C, and D have the coordinates (-8,1), (-2,4), (-3, -1), and (-6,5) respectively. which sentence about the points is true?
A. A, B,C, AND D LIE ON THE SAME LINE
B. LINE AB AND LINE CD ARE PERPENDICULAR
C. LINE AB AND LINE CD ARE PARALLEL LINES
D. LINE AB AND LINE CD ARE INTERSECTING LINES BUT ARE NOT PERPENDICULAR
E. LINE AC AND LINE BD ARE PARALLEL LINES
Answers
Answer:
Option B is correct.
Step-by-step explanation:
To check if the lines are parallel or perpendicular, we need to find the slope of lines AB and CD
A=(-8,1), B= (-2,4), C= (-3, -1), and D= (-6,5)
Slope of AB = y₂-y₁/x₂-x₁
Slope of AB = 4-1/-2-(-8)
Slope of AB = 3/-2+8
Slope of AB = 3/6
Slope of AB = 1/2
Slope of CD = y₂-y₁/x₂-x₁
Slope of CD = 5+1/-6-(-3)
Slope of CD = 6/-6+3
Slope of CD = 6/-3
Slope of CD = -2
Lines are parallel if Slope of AB = Slope of CD
Lines are perpendicular if Slope of Ab = -1/Slope of CD
So, Slope of AB = 1/2
Slope of CD = -2
So, LINE AB AND LINE CD ARE PERPENDICULAR
Option B is correct.
Write the equation of the piecewise function ƒ that is represented by its graph.
Answers
A piecewise function is a function that is defined by several different formulas depending on the input (x). In this case, the function f(x) is a horizontal line for 0 ≤ x ≤ 20. The equation for this function would be y = constant, for 0 ≤ x ≤ 20, where the constant value is defined by the height of the horizontal line on the graph.
Explanation:To write the equation of the piecewise function that is represented by a graph, you need to identify the different segments of the function and write a mathematical expression that describes each segment. In your case, the function f(x) is a horizontal line and is only defined between x = 0 and x = 20 (both inclusive). So, if we let y = f(x) be the horizontal line, then for the domain 0 ≤ x ≤ 20, the piecewise function can be written as:
y = constant, for 0 ≤ x ≤ 20.
Note that the 'constant' value of y is defined by the height of the horizontal line on the graph. This specification assumes that there are no other pieces to the function outside the range of x = 0 to x = 20.
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Using side lengths only could the triangles be similar?
Answers
Answer:
no
Step-by-step explanation:
There is no consistent scale factor.
Answer:
No
Step-by-step explanation:
For triangles to be similar there must be a proportion between their measurements.
That is, for example if from one triangle to another one side doubled, all other sides must also double.
The triangle side on the left sides measure 1.5, 1 and 2.
In the right triangle the sides measure 0.5, 1 and 1.5
There is no proportion factor that serves to convert all the measures of the first triangle to those of the second triangle.
So the triangles are not similar.
What number must be added to the expression below to complete the square x^2+3x
Answers
Answer:
9/4
Step-by-step explanation:
x^2+3x
Take the coefficient of the x term, 3
Then divide by 2, 3/2
Then square it (3/2) ^ = 9/4
This is what you need to add to complete the square
SEE IMAGE! Which of the following expressions is equal to the value of x?
A) 0.9(sin50)
B) (sin50)/0.9
C) 0.9(cos50)
D) (cos50)/0.9
Answers
Answer:
A) 0.9(sin50)
Step-by-step explanation:
Since this is a right triangle, we can use
sin a = opposite side/ hypotenuse
sin 50 = x /.9
Multiply each side by .9
.9 * sin 50 = x/.9 * .9
.9 (sin 50) = x
The function below represents the annual interest Victoria earns on a savings account. Identify the term that represents the amount of money originally deposited in the account.
f(x) = 300(1 + 0.03)x
300
1
0.03
x
Answers
Answer:
[tex]\$300[/tex]
Step-by-step explanation:
In this problem we have a exponential function of the form
[tex]f(x)=a(b)^{x}[/tex]
where
a is the initial value ( value of the function when the value of x is equal to zero)
b is the base
r is the rate
b=1+r
we have
[tex]f(x)=300(1+0.03)^{x}[/tex]
therefore
The term that represents the amount of money originally deposited in the account is the initial value
For x=0
substitute
[tex]f(0)=300(1+0.03)^{0}[/tex]
[tex]f(0)=\$300[/tex]
Answer:
The correct option is 1.
Step-by-step explanation:
The function is
[tex]f(x)=300(1+0.03)^x[/tex]
We need to find the term that represents the amount of money originally deposited in the account. It means we need to find the initial amount.
Substitute x=0 in the given function, to find the initial value of the function.
[tex]f(0)=300(1+0.03)^(0)[/tex]
[tex]f(0)=300(1)[/tex]
[tex]f(0)=300[/tex]
The term 300 represents the amount of money originally deposited in the account. Therefore the correct option is 1.
In general, the point ___is on the graph of the function f(x) = a×b^x.
Answers
Answer:
Option A (0,a)
Step-by-step explanation:
we know that
[tex]f(x)=a(b^{x})[/tex]
Is a exponential function
where
a is the initial value
b is the base
Remember that
The initial value is the value of the function when the value of x is equal to zero (y-intercept)
therefore
For x=0
[tex]f(0)=a(b^{0})[/tex]
[tex]f(0)=a(1)=a[/tex]
The y-intercept is the point (0,a)
Answer:
(0, a)
Step-by-step explanation:
The boat speed in still water is 30 miles per hour. A boat travels for 3 hours downstream and returns the same distance in 5 hours.find the speed of the stream
Answers
Answer:
7.5 mph.
Step-by-step explanation:
Speed downstream = d / 3 = 30 + x where d = the distance , x =speed of the stream.
Speed upstream = d / 5 = 30 - x.
30 + x = d/3
30 - x = d/5
Adding the 2 equations
60 = d/3 + d/5
8/15 d = 60
d = 60 * 15 / 8 = 112.5 miles.
Now calculate x , the speed of the stream:
112.5 / 3 = 30 + x
x = 112.5 / 3 - 30
= 7.5 mph.