Examine the graph. Which statements are true about the function represented by the graph? Select all that apply.
The function is negative over the interval (−16,0).
The function is negative over the interval (−5,3).
The function is positive over the interval (3,∞).
The function is positive over the interval (−∞,−5).
The function is positive over the interval (−5,3).
The function is negative over the interval (−∞,−5).
Answers
====================================================
Explanation:
The portion below the x axis is when f(x) is negative. This happens on the interval [tex]-5 < x < 3[/tex]. Note how -5 and 3 are the x intercepts or roots. So because f(x) is negative when [tex]-5 < x < 3[/tex] we can say f(x) is negative over the interval (-5, 3). This is interval notation and not ordered pair notation.
----------
The function f(x) is positive in two places. When x < -5 and when x > 3. This is where the purple parabola is above the x axis.
The x < -5 portion converts to the interval notation (−∞,−5)
The x > 3 portion converts to the interval notation (3,∞)
The function is positive over the interval (3,∞) and interval (−∞,−5) while negative over interval (−5,3) so options (B),(C), and (D) will be correct.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
After that, we need to substitute the values of x's and y's into the coordinate geometry.
If we look at the graph
The value of graph is positive after x = 3 and it is positive before x = -5
Let's say the graph is going infinitely in both directions.
Then the function is positive over the interval (3,∞) and interval (−∞,−5).
The function is negative from x = -5 to 3 so it will be negative over that.
Hence "The function is positive over the interval (3,∞) and interval (−∞,−5) while negative over interval (−5,3)".
For more information about the graph of a function
brainly.com/question/27757761
#SPJ5
Related Questions
Use braces and digits to designate the set of natural numbers.
Answers
Answer:
[tex]N = \{1,2,3,4,5,6,.....\}[/tex]
Step-by-step explanation:
Required
Determine the sets of natural number
Represent this set with letter N
From definition of natural numbers, they are integer numbers starting from 1;
In other words: 1,2,3,4,5, and so on.
To represent this as a set of N, we have
[tex]N = \{1,2,3,4,5,6,.....\}[/tex]
The ..... means that the counting still continues
A bat and ball cost $1.10.
The bat costs one dollar mire than the ball.
How much does the ball cost?
Answers
Answer: Hi!
We already know that we can subtract a dollar from the total, because the bat is a dollar more than the ball. However, there's one more step! We have to divide the cost left, 10 cents, by 2 as well, because the bat is a dollar more than the ball, and if we said that the answer was a dollar, we would be wrong, because there would be 10 cents left as the cost of the ball - and if the bat was a dollar more than the ball, then the bat would be $1.10 and the total cost would be $1.20. 10 divided by 2 is 5, so the ball is 5 cents and the bat is $1.05.
Hope this helps!
5 cents
as the ball costs 5 cents the bat costs $1.05
what transformation(s) is taking place
Answers
Answer:
Dilation is the transformation
Which of the following does not describe a control group? O A. a group of patients given a new drug B. a group of patients given a placebo O C. a group of trees not given a new growth hormone O D. a group of students not given a new software package
Answers
Answer:
the answer = C (may be but not sure)
Answer:
The answer has to be A
Step-by-step explanation:
The trees have nothing changed about them, so they can be considered to be the control. In additon, placebo is given as a control in medical trials, so it cannot be correct. And, the students have nothing changed in D, so the answer to this question has to be A, where the patients are given a new drug.
Two distinct lines, l and m, are each perpendicular to the same line n. Select all the true statements. Lines l and m are perpendicular Lines l and n are perpendicular Line m and n are perpendicular Lines l and m are parallel Lines l and n are parallel Line m and n are parallel
Answers
Answer:
The correct options are;
Lines l and n are perpendicular
Lines m and n are perpendicular
Step-by-step explanation:
Where two lines l an m are said to be perpendicular to a given line n, then we have;
1) When l and m are in different planes,
a) l and m can be parallel lines to each other or
b) l and m can be perpendicular to each other or
c) l and m can be at an angle x, to each other
2) When l and m intersect with the line n at a point p, then, we have;
l and m must be in the same plane with each other.
What is the y-intercept of the polynomial f(x)f(x) f(x) defined below? Write the y-value only. f(x)=−4x2+x5+10x3+5x+8x4f(x)=-4x^2+x^5+10x^3+5x+8x^4 f(x)=−4x 2 +x 5 +10x 3 +5x+8x 4
Answers
Answer:
y = 0
Step-by-step explanation:
Given
f(x) = 4x² +x⁵ +10x³ +5x+8x⁴
Required
Determine the y intercept
The y intercept of a function is a point where x = 0
So, we have to substitute 0 for x in the above function
f(x) = 4x² +x⁵ +10x³ +5x+8x⁴ becomes
f(0) = 4(0)² +(0)⁵ +10(0)³ +5(0)+8(0)⁴
f(0) = 4 * 0 + 0 + 10 * 0 + 5 * 0 + 8 * 0
f(0) = 0 + 0 + 0 + 0 + 0
f(0) = 0
Substitute y for f(0)
y = 0
Hence, the y intercept is 0
Evaluate the function. f(x) = -x2 - 6x + 12 Find f(4)
Answers
Answer:
f( 4 ) = - 28Step-by-step explanation:
f(x) = - x² - 6x + 12
To find f(4) substitute the value of x that's 4 into the expression above and solve.
That's
f( 4) = - (4)² - 6(4) + 12
= - 16 - 24 + 12
= - 40 + 12
We have the final answer as
f(4) = - 28Hope this helps you
The function y = (x - 4)2 + 3 is a transformation of the function y = x?. How is the function's vertex affected by the
transformation?
The vertex of the graph of y = x? is shifted to the left 4 units and down 3 units.
The vertex of the graph of y = x? is shifted to the left 3 units and down 4 units.
The vertex of the graph of y = x is shifted to the right 3 units and up 4 units.
The vertex of the graph of y = x?is shifted to the right 4 units and up 3 units.
Answers
Answer: The vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units
Step-by-step explanation:
Option (D) the vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units is the correct answer.
What is graph of a function?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).
For the given situation,
The function y = (x - 4^)2 + 3
Plot the graph on substituting the function [tex]y=x^{2}[/tex] as shown in the graph below.
On comparing the two functions, the transformation of the vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units.
Thus the function y = (x - 4)^2 + 3 is a transformation of the function y = x^2.
Hence we can conclude that option (D) the vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units is the correct answer.
Learn more about graph of a function here
https://brainly.com/question/2275360
#SPJ3
The sum of 4 consecutive even integers is 180. What are the integers? (Detailed Explanation)
Answers
Answer:
Step-by-step explanation:
Let the consecutive even numbers be 2n , (2n + 2) , (2n +4), (2n + 6)
2n + 2n+2 + 2n+4 + 2n+6 = 180
Add like terms
2n + 2n + 2n + 2n + 2 + 4 + 6 = 180
8n + 12 = 180
Subtract 12 from both sides
8n + 12 - 12 = 180 - 12
8n = 168
Divide both sides by 8
8n/8 = 168/8
n = 21
2n = 2*21 = 42
2n + 2= 2*21 +2 = 42 +2 = 44
2n +4 = 2*21 + 4 = 42 + 4 = 46
2n +6 = 2*21 + 6 = 42 + 6 = 48
The 4 consecutive even integers: 42, 44 , 46 , 48
It takes Zina 1 hours to build a model skyscraper and Rachel 3 hours to do the
same job. It will take hours to build a model skyscraper working
together?
Answers
(ignore this answer, i cant delete it srry..)
Answer:
It takes them 45 minutes
Step-by-step explanation:
Let's say that x is the amount of work in one hour that zina does
so the amount of work that rachel does in the same hour is 1/3x, because 3 times slower
so we have
x+1/3x=100%
what does that mean?
it means the amount of hours taken to complete a skycraper
so we solve for x
x=75%
so we need to figure out how much hours does zina takes to complete 75% of the skycraper
1 hour ----- 100%
x hours ---- 75%
1 hour *75%/100%=x hours
1 hour (3/4)=x hours
60 minutes (3/4)= x minutes
x=45 minutes
Find the circumference if the area of the circle is 64π m2.
Answers
Answer:
C = 50.27 m
Step-by-step explanation:
A = πr²
64π = πr²
64 = r²
r = ±8
r = 8
C = 2πr
C = 2π(8)
C = 50.27 m
5,
5,
6,
8,
11,
What is the next number
Answers
3 is what my answer was
============================================
Explanation:
From 5 to 5, we add 0
From 5 to 6, we add 1
From 6 to 8, we add 2
From 8 to 11, we add 3
Assuming this pattern keeps up, the next term is found by adding 4.
So 11+4 = 15 is the next term.
Describe and correct the error a student made when solving the equation 7=-4(x+7)-3+2x. What is the correct solution?
Answers
Answer:
7=-4(x+7)-3+2x
BODMAS
7=-4x-28-3+2x
7=-2x-31
7+31=-2x
x=38/2
x= -19
Imagine that you stop at a nearby coffee chain and purchase a $5 coffee every morning on your way to work. You do this 5 days a week for 50 weeks out of the year. While it may seem like a small expense each day, this habit can add up and affect your personal finances. How much would this habit cost you over the next five years
Answers
Answer:
$6250
Step-by-step explanation:
Hello!
First, we find out how much you spend a week.
Since you buy a $5 coffee 5 days a week we multiply the price for a coffee by 5.
5 * 5 = 25.
Next, we find out how much you spend a year.
Since you do it 50 weeks a year we multiply the amount you spend a week by 50
25 * 50 = 1250
Then, we find out how much you spend in 5 years.
We multiply the cost a year by the amount of years
1250 * 5 = 6250
The answer is $6250
Hope this helps!
Answer:
$6250 Just took a quiz
Step-by-step explanation:
Find the area of the triangle.
A.54
B.18
C.36
D.27
Answers
Answer:
B. 18
Step-by-step explanation:
Base: 3-(-6)=9
Height: 6-2=4
Area =1/2bh = 1/2(9)(4)= 18 square units
a carpenter works one third as long after lunch as he worked before lunch if he worked 8 hours total how long did he work before lunch
Answers
Answer:
6 hours before lunch
Step-by-step explanation:
Let x = hours before lunch
after lunch = 1/3x
Total time worked = 8 hours
x+1/3 x = 8
Combine like terms
4/3x = 8
Multiply each side by 3/4
3/4 * 4/3x = 8 * 3/4
x = 6
6 hours before lunch
Answer:
The carpenter worked 3x, or 6 hrs, before lunch.
Step-by-step explanation:
Represent the time worked before lunch as 3x and the time worked after lunch as x. Then 3x + x = 8 hrs, and so:
4x = 8 hrs, and
x = 2 hrs
The carpenter worked 3x, or 6 hrs, before lunch.
Solve the inequality and enter your solution as an inequality in the box below, using "" for if necessary. 8 >4-x>6
Answers
Answer:
-4 < x < -2
Step-by-step explanation:
8 > 4 - x > 6
4 > -x > 2
-4 < x < -2 (flip the sign when multiplying / dividing by a negative number)
What is the equation of the quadratic function represented by this graph
Answers
Answer:
f(x) = - x² + 2x + 8or f(x) = - (x - 1)² + 9 or f(x) = - (x + 2)(x - 4)Step-by-step explanation:
f(0) = 8 {y-axis intercept = (0, 8)}
Vertex = (1, 9)
f(x) = a(x - 1)² + 9
8 = a(0-1)² + 9
8 = a + 9
a = -1
f(x) = - (x - 1)² + 9
f(x) = - (x² - 2x + 1) + 9
f(x) = - x² + 2x - 1 + 9
f(x) = - x² + 2x + 8
x₁ = -2 and x₂ = 4, so also:
f(x) = -(x + 2)(x - 4)
Answer:
g(x) = -1 (x + 2)(x − 4)
Step-by-step explanation:
To write the equation of the function in factored form, g(x) = a(x − r1)(x − r2), find the values of r1, r2, and a.
The function has x-intercepts of -2 and 4, so (x − (-2)), or (x + 2), and (x − 4) are factors of the equation.
To find a, look at how the value of y changes for 1 unit to the right of the vertex. The y-value goes down 1 unit for a point 1 unit to the right of the vertex, so a = -1.
The equation of this quadratic function is g(x) = -(x + 2)(x − 4).
Thank me later ᵇⁱᵗᶜʰᵉˢ
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
x ≥ −5 and x < 4
Step-by-step explanation:
-4x + 1 ≤ 21 and 5x + 2 < 22
5x + 2 < 22 = x < 4
We can plug it in: 5 x 3 + 2 < 22 = 17 < 22
-4x + 1 ≤ 21 = x= -5 and lower
Plug it in: -4 x -5 + 1 ≤ 21 = 21 ≤ 21 = x ≥−5
So both answers would be:
x ≥−5 for -4x + 1 ≥ 21
x < 4 for 5x + 2 < 22
Sally begins hiking at an elevation of 224 feet. Then, she descends 131 feet
and climbs 67 feet higher than her current position. She then descends
163 feet. Write an addition sentence to describe the situation. Then determine
and interpret the sum.
Answers
Answer:
-3 feets
Step-by-step explanation:
Given the following :
Starting point = 224 feets
Then descends 131 feets
Then climbs 67 feets higher than her current position
Then descends 163 feets
Addition sentence to describe the situation :
224feets + (-131)feets + 67feets + (-163)feets
Negative (-) points represents descent
224feets - 131feets + 67feets - 163feets = - 3feets
This means Sally is - 3 feets below her initial position.
Which line segment shows the height that corresponds to the given base of the triangle btw it isnt high school
Answers
Answer:
B
Step-by-step explanation:
The height has to be perpendicular ( 90 degrees) to the base
B is the height to the base
One spring day, Dylan noted the time of day and the temperature, in degrees
Fahrenheit. His findings are as follows: At 6 a.m., the temperature was 56° F. For the
next 2 hours, the temperature rose 3° per hour. For the next 3 hours, it rose 4º per
hour. The temperature then stayed steady until 6 p.m. For the next 4 hours, the
temperature dropped 3° per hour. The temperature then dropped steadily until the
temperature was 61° at midnight. On the set of axes below, graph Dylan's data.
Helppppp pleaseeee I’m terrible with graphing
Answers
Answer:
Please find attached the required graph for the temperature time relationship
Step-by-step explanation:
The parameters given are arranged in a tabular form as follows;
At
Time [tex]{}[/tex] Temperature
6 a. m. [tex]{}[/tex] 56° F
7 a. m. [tex]{}[/tex] 59° F
8 a. m. [tex]{}[/tex] 62° F
9 a. m. [tex]{}[/tex] 66° F
10 a. m. [tex]{}[/tex] 70° F
11 a. m. [tex]{}[/tex] 74° F
12 p. m. [tex]{}[/tex] 74°F
1 p. m. [tex]{}[/tex] 74°F
2 p. m. [tex]{}[/tex] 74°F
3 p. m. [tex]{}[/tex] 74°F
4 p. m. [tex]{}[/tex] 74°F
5 p. m. [tex]{}[/tex] 74°F
6 p. m. [tex]{}[/tex] 74°F
7 p. m. [tex]{}[/tex] 71°F
8 p. m. [tex]{}[/tex] 68°F
9 p. m. [tex]{}[/tex] 65°F
10 p. m. [tex]{}[/tex] 62°F
11 p. m. [tex]{}[/tex] 61.5°F
12 a. m. [tex]{}[/tex] 61°F
With the above table as the data points, the graph can be drawn
From Excel, The Mean temperature is approximately 68.1°F
The standard deviation is 6.079 °F
Since Dylan noted the time of day and the temperature, in degrees Fahrenheit, and his findings are as follows: At 6 am, the temperature was 56 ° F, for the next 2 hours, the temperature rose 3 ° per hour, for the next 3 hours, it rose 4º per hour, and the temperature then stayed steady until 6 pm, while for the next 4 hours, the temperature dropped 3 ° per hour, and the temperature then dropped steadily until the temperature was 61 ° at midnight , to determine the average temperatures, the following tables must be made:
6 AM = 56
7 AM = 59
8 AM = 62
9 AM = 66
10 AM = 70
11 AM = 74
6 PM = 74
7 PM = 71
8 PM = 68
9 PM = 65
10 PM = 62
11 PM = 61.5
12 AM = 61
Thus, the average daily temperature was 68°F.
Learn more in https://brainly.com/question/21853806
Find the slope and then write the slope as a simplified fraction
A) (-6,3) (9,7)
B)(4,-10)(-2,-6)
Answers
Answer:
slope: (y² - y¹) / (x² - x¹)
(-6, 3) (9, 7)
(7 - 3) / (9 + 6) = 4 / 15
y = 4/15x + b
slope: (4/15)x
(4, -10) (-2, -6)
(-6 + 10) / (-2 - 4) = 4 / -6 = 2 / -3
y = (-2/3)x + b
slope: (-2/3)x
The total money earned if Lee sold four scarves at twenty dollars each.
Answers
Answer:
$80
Step-by-step explanation:
If we have four scarves, and each costs $20, we can multiply these two numbers to find the total profit made.
[tex]20\cdot4[/tex]
2 times 4 is 8, and adding a 0 to that is 80.
Hope this helped!
PLZ HELP ME ASAP!!!!
Answers
Answer:
33.05°
Step-by-step explanation:
The diagram above is a right angled triangle.
To solve for this question, we would be making use of the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse
From the above diagram,
Opposite side = 162.5 yards
Hypotenuse = 298 yards
θ = unknown
sin θ = 162.5 yards/298 yards
sin θ = 0.5453020134
θ = arc sin(0.5453020134)
θ = 33.045304587°
Approximately
θ = 33.05°
Name four points in the diagram.
B
B
S
С
A
E
D
point A
to
point B
С BC
point D
DE
point E
points
point T
Answers
Answer: Point A ,Point E , Point B, Point D
Step-by-step explanation:
In the given figure we have two planes named as S and T that are join by a line .
There is one line on each of them .
On plane S points are B and C.
On plane T points are D, and E.
On the intersection of planes, we have point A.
Now from the given options, the four points are:
Point A ,Point E , Point B, Point D
In 1940, the average size of a privately owned farm in a particular country was 171 acres. In a recent year, the average size of a privately owned farm in the country had increased to 446 acres. What is this percent increase
Answers
Answer:
There is 160.81 % of increase.
Step-by-step explanation:
Given that,
The average size of a privately owned farm in a particular country was 171 acres.
Now, the average size of a privately owned farm in the country had increased to 446 acres.
We need to find the percent increase.
[tex]\%=\dfrac{\text{increase}}{\text{original}}\times 100\\\\\%=\dfrac{446-171}{171}\times 100\\\\\%=160.81\%[/tex]
So, there is 160.81 % of increase.
cos x° = sin(3x+10°) find tan x°
Answers
Answer:
Step-by-step explanation:
we can write sin(3x+10)= cos{90-(3x+10)}
now
cosx= cos{90-(3x+10)}
eliminating cos from both sides we get
x=90-3x-10
4x=80
x=20
tan 20=0.364
it can be 40 also if we take the sin part
Evaluate each expression if a =2, b = -3 and c = -1 and d =4. 2cd+3ab
Answers
Step-by-step explanation:
Given
a = 1
b = -3
c = -1
d = 4
Everything is given to us ,we have to replace variable by numbers and solve the equation
put the values of variables in th given equation we get our answer
[tex]2( - 1)(4) + 3(2)( - 3)[/tex]
[tex] - 8 - 18[/tex]
[tex] - 26[/tex]
-26 is ur answer
Hope it helps u mate
If a =2, b = -3 and c = -1 and d =4. 2cd+3ab is - 26.
What is a variable ?As name suggests variables can have different values.We put a certain values to a variable according to our desired results also can be thought as inputs that determines output.
According to the given question we have to evaluate an expression with variables and the values of the variables are given so we will just substitute their values and obtain our result.
Given a =2, b = -3 and c = -1 and d =4.
∴ 2cd+3ab
= 2(-1)(4) + 3(2)(-3)
= 2(-4) + 6(-3)
= - 8 - 18
= - 26.
learn more about variables here :
https://brainly.com/question/17344045
#SPJ2
3 2/3 + 2.3 (the three is repeating) and the answer choices are
a) 5
b) 5 2/3
c) 6
d) 6 1/3
i need help please :/
Answers
Answer: C) 6
================================================
Explanation:
2.33333... where the 3s go on forever is the same as 2 + 1/3 or 2 & 1/3
So we really have 3 & 2/3 added onto 2 & 1/3
The fractional portions add to 2/3 + 1/3 = 3/3 = 1, which will carry over.
The whole number portions add to 3+2 = 5, and we add on the carry of 1 to get 5+1 = 6
--------------
Using your calculator
3 & 2/3 = 3 + 2/3 = 3 + 0.667 = 3.667 approximately
adding this onto 2.333 leads to
3.667 + 2.333 = 6
Technically the 6's go on forever in the decimal form of 3 & 2/3, but rounding wont have an effect on the answer when we add
The sum of the given fraction is 6. Therefore, option C is the correct answer.
Given that, 3 2/3 + 2.3333....
We need to find the sum of the given fractions.
How to find the sum of fractions?To add fractions follow these steps:
Step 1: Make sure the bottom numbers (the denominators) are the same.
Step 2: Add the top numbers (the numerators), and put that answer over the denominator.
Step 3: Simplify the fraction (if possible).
Now, 2.3333.... can be written as
x=2.333.... ------(1)
10x=23.333.... ------(2)(Multiply by 10 to both sides of the equation)
Subtract equation (1) from (2)
That is, 10x-x=23.333.....-2.333......
⇒9x=21
⇒x=21/9
⇒x=7/3
⇒x=2 1/3
Now, 3 2/3 + 2 1/3
=(3+2) 2/3 + 1/3
=5 3/3
=5+1=6
The sum of the given fraction is 6. Therefore, option C is the correct answer.
To learn more about the sum of fractions visit:
https://brainly.com/question/23853550.
#SPJ2