Graph g(x)=-2|x -5|-4g(x)=−2∣x−5∣−4
Answers
The graph of the given function is attached below.
What is a absolute function?
A function that wraps an algebraic expression in absolute value symbols is known as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value. The definition of the absolute value parent function is given as follows: f(x)=x if x > 0 and f(x) = -x if x 0.
Given function is g(x)= - 2|x -5|-4.
Finding some points on the graph:
Putting x = 5
g(5)= - 2|5 -5|-4
g(5) = -4
Putting x = 0
g(0)= - 2|0-5|-4
g(0) = -2 ×5 - 4
g(0) = -14
Putting x = 10
g(10)= - 2|10 -5|-4
g(10) = -2 ×5 - 4
g(10) = -14
The points on the graph are ( 5,-4), (0,-14), (10,-14).
Plot the points and joint them.
To learn more about graph, click on below link:
https://brainly.com/question/14364803
#SPJ1
Related Questions
PLEASE HELP ITS URGENT I INCLUDED THE PROBLEM IN IMAGE I WROTE IT DOWN!!!
Answers
Answer:
B
Step-by-step explanation:
We know that 4×6=24.
Now using the radical rule, we can simplify to find 2 √ 6.
PLEASE ANSWER I NEED HELP ASAP
The table shows the running speeds of 10 randomly
selected ostriches.
Speed (miles per hour)
35 40 37 33 36 34 32 36 41 36
Based on the data, select the most reasonable prediction about the speed of
ostriches.
A. The typical ostrich runs at speeds greater than 40 miles per hour.
B. The top speed of an ostrich is 40 miles per hour.
C. The typical ostrich runs at a speed of about 30 miles per hour.
O D. The typical ostrich runs at a speed of about 36 miles per hour.
Answers
U work this out by adding all number together then diving by number of results
So total of results = 360
360/10 results = 36
Answer:
D 36MPH
Step-by-step explanation:
When 43,55 and 67 are divided by a certain number, the remainder is 7 in each case. Find the number?
Answers
Answer:
12
Step-by-step explanation:
First subtract 7 from 43, 55 and 67
43 - 7 = 36 ; 55 - 7 = 48 ; 67 - 7 = 60
Now find the GCF of 36 , 48 , 60
36 = 2 * 2 * 3 * 3
48 = 2 * 2 * *2*2 * 3
60 = 2 * 2 * 3 * 5
GCF = 2 * 2 * 3 = 12
The required number is 12
When you divide 43 by 12, the remainder is 7.
When you divide 55 by 12, the remainder is 7
When you divide 67 by 12, the remainder is 7
-3xsquared -12x -23= y-8 use complete ig the square to find the vertex of the parabola
Answers
The vertex of the parabola represented by the equation -3x² - 12x - 23 = y - 8 is (-2, -63).
To find the vertex of the parabola using completing the square, we can rewrite the equation in the form:
\(y = a(x - h)^2 + k\)
Where (h, k) represents the coordinates of the vertex.
Let's complete the square for the given equation:
\(-3x^2 - 12x - 23 = y - 8\)
First, we'll move the constant term to the right side of the equation:
\(-3x^2 - 12x = y - 8 + 23\\-3x^2 - 12x = y + 15\)
Next, we'll factor out the coefficient of \(x^2 (-3)\) from the first two terms:
\(-3(x^2 + 4x) = y + 15\)
To complete the square, we need to take half of the coefficient of x (4), square it (16), and add it inside the parentheses. However, since we added it inside the parentheses, we need to subtract 16 * (-3) from the right side to maintain the equality:
\(-3(x^2 + 4x + 4) = y + 15 - 16 * (-3)\\-3(x + 2)^2 = y + 15 + 48\\-3(x + 2)^2 = y + 63\\\)
Now, we can rewrite the equation in the vertex form:
\(y = -3(x + 2)^2 - 63\)
Comparing this with the vertex form equation: \(y = a(x - h)^2 + k\), we can see that the vertex is at the point (-2, -63).
To know more about parabola,
https://brainly.com/question/33549692
#SPJ11
The vertex of the parabola is (-2, -19).
To find the vertex of the parabola given by the equation \(-3x^2 - 12x - 23 = y - 8\), we can complete the square. The general form of a quadratic equation is \(y = ax^2 + bx + c,\) where (h, k) represents the vertex of the parabola.
First, let's rewrite the equation in the standard form:
\(-3x^2 - 12x + 15 = y.\)
Now, we can complete the square. To do this, we need to take half of the coefficient of x (-12) and square it: \((-12/2)^2 = 36.\)
Add 36 to both sides of the equation: \(-3x^2 - 12x + 15 + 36 = y + 36.\)
Simplify: \(-3x^2 - 12x + 51 = y + 36.\)
Now, we can rewrite the equation in vertex form by factoring the left side: \(-3(x^2 + 4x - 17) = y + 36.\)
Next, we complete the square within the parentheses:
\((x + 2)^2 = -3(y + 19).\)
Now, the equation is in the form \((x - h)^2 = 4p(y - k)\), where (h, k) represents the vertex. In this case, the vertex is (-2, -19).
Overall, the process involves rewriting the equation in standard form, completing the square, and then rearranging the equation to match the vertex form. This allows us to identify the vertex of the parabola.
Learn more about vertex of the parabola
https://brainly.com/question/29267743
#SPJ11
The sun rises at 7:12 a.m. on December 1 in Dallas and at 7:28 a.m. on December 27. What is the rate of change?
Answers
Answer: A 8/13 minutes later each day
Step-by-step explanation:
Answer:
Step-by-step explanation:
see
Hannah says that 3.33 is a rational number. Gus says that 3.33 is a repeating decimal. Who is correct and why?
a. Gus is correct because 3.33 has two numbers that repeat.
b. Hannah is correct because 3.33 can be written as a fraction.
Gus is incorrect because 3.33 cannot be written as a fraction
d. Hannah is incorrect because 3.33 should have a repeating bar
What is the answer
Answers
Answer:
B
Step-by-step explanation:
you can write 3.33 as 10/3
Which of these strategies would eliminate a variable in the system of equations? 5x + 3y = 9
4x - 3y = 9 Choose all answers that apply: (Choice A) A Subtract the top equation from the bottom equation. (Choice B) B Add the equations. (Choice C) C Subtract the bottom equation from the top equation.
Answers
Answer:
(Choice B) Add the equations
Step-by-step explanation:
The equations that were given are:
\(5x + 3y = 9 \\ 4x - 3y = 9\)
If we add the equequatiothen the y variable would be eliminated:
\( +3y + (-3y) = 0\)
Please helppp as fast as possible 20 points ***
FIND THE DOMAIN & RANGE OF THE FUNCTION
g(x)=|x + 4|
Please helppp as fast as possible
Answers
Answer:
Domain: (−∞,∞),{x | x ∈ R}
Range: [0,∞),{y|y≥0}
Step-by-step explanation:
A television stand was priced P1659 after a discount of 30%. Calculate the price of the television stand before the discount?
Answers
Answer:
2156.7
Step-by-step explanation:
first, after discount is meant now $1659 and 30% up, that way we need to do 1659 x 1.3 it gives us 2156.7
Sally owns a souvenir shop that is open 5 days a week. One week she sold about 150 T-shirts. Which of the following sets of numbers, when rounded to the nearest 10, could represent the number of shirts sold each day?
Answers
bill is an avid coin collector and belongs to a coin collectors' club, receiving a monthly magazine and invitations to exclusive events. this coin collectors' club is an example of a(n) group. question 26 options: a) comparative b) normative c) membership d) informal e) symbolic
Answers
Bill enjoys collecting coins and is a member of a club for coin collectors. This club for coin collectors is an illustration of a(n) membership group.
Given that,
Bill enjoys collecting coins and is a member of a club for coin collectors, which grants him access to events and a monthly magazine. This club for coin collectors is an illustration of a(n) ________ group.
We have to fill the blank.
We know that,
Option- C is correct .
Bill enjoys collecting coins and is a member of a club for coin collectors, which grants him access to events and a monthly magazine. This club for coin collectors is an illustration of a(n) membership group.
To learn more about membership visit: https://brainly.com/question/17155102
#SPJ4
The map below shows the locations of the houses of Maria, Reese, and Paul. Which are the coordinates of Maria’s house at point M?
Answers
Answer:1.2 A.
Step-by-step explanation:
-5-3x ≥ 2(10+2x)+3
Can you solve this as an inequality?
Answers
Answer: x ≤ -4
Step-by-step explanation: The explination will be placed in the comment area :)
Answer:
x ≤ -4Step-by-step explanation:
\(-5-3x \geq 2(10+2x)+3\\\)
Expand
\(2\left(10+2x\right)+3:\quad 4x+23\\\\-5-3x\ge \:4x+23\\\\\mathrm{Add\:}5\mathrm{\:to\:both\:sides}\\-5-3x+5\ge \:4x+23+5\\\\Simplify\\-3x\ge \:4x+28\\\\\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\-3x-4x\ge \:4x+28-4x\\\\Simplify\\-7x\ge \:28\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\left(-7x\right)\left(-1\right)\le \:28\left(-1\right)\\\\Simplify\\7x\le \:-28\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7x}{7}\le \frac{-28}{7}\)
\(Simplify\\x\le \:-4\)
At Townsend High School there are four class years 9th grade, 10th grade grade, and 12th grade There are 300 students in the 9th grade year and as the class year increases each subsequent grade year has approximately 20% more students in its class than does the previous year (For example the 10th grade class year has 20% more students in it than the grade class year) About how many students attend Townsend High School in total
Answers
We are asked to determine the total number of students in a school. To do that we need to add the number of students in each of the year classes. Beginning with the 9th class we have:
\(N_9=300\)Now, the number of students in the 10th year class is 20% more, this means:
\(N_{10}=300+300\times\frac{20}{100}=360\)Now, the number of students in the 11th year class is:
\(N_{11}=360+360\times\frac{20}{100}=432\)The 12th year class is:
\(N_{12}=432+432\times\frac{20}{100}=518.4\)Now we add all the students in each class:
\(\begin{gathered} N=N_9+N_{10}+N_{11}+N_{12} \\ N=300+360+432+518.4 \\ N=1610.4 \end{gathered}\)Therefore, there are about 1610 students in Townsend High School.
Can we use the z test? In each of the following cases, state whether or not the Normal approximation to the binomial should be used for a significance test on the population proportion p. Explain your answers. a. n=20 and H0:p=0.3. b. n=70 and H:p=0.2. c. n=100 and H0 : p=0.08. d. n=150 and H0:p=0.01.
Answers
Yes, we can use z test.
The normal approximation to the binomial can be used for the hypothesis test of population proportion for option b but not for options a, c and d.
The Z-test is used to test the hypothesis about population parameters when the sample size is large and the population standard deviation is known or can be estimated from the sample.
For the case of a hypothesis test for a population proportion,
the Z-test can be used when the sample size is large enough to satisfy the conditions of normal approximation to the binomial distribution.
The conditions for normal approximation to the binomial distribution are:
The sample size, n, is large enough that np ≥ 10 and n(1-p) ≥ 10, where p is the population proportion.
The observations are independent.
Based on these conditions, we can determine whether or not the normal approximation to the binomial should be used for each of the following cases:
a. n=20 and H0:p=0.3.
In this case, np = 20 × 0.3 = 6 and n(1-p) = 20 × 0.7 = 14, both of which are less than 10. Therefore, the normal approximation to the binomial should not be used.
b. n=70 and H0:p=0.2.
In this case, np = 70 × 0.2 = 14 and n(1-p) = 70 × 0.8 = 56, both of which are greater than 10. Therefore, the normal approximation to the binomial can be used.
c. n=100 and H0 : p=0.08.
In this case, np = 100 × 0.08 = 8 and n(1-p) = 100 × 0.92 = 92, both of which are less than 10.
So, the normal approximation to the binomial should not be used.
d. n=150 and H0:p=0.01.
In this case, np = 150 × 0.01 = 1.5 and n(1-p) = 150 × 0.99 = 148.5, both of which are less than 10. Therefore, the normal approximation to the binomial can be used for the hypothesis test of population proportion for option b but not for options a, c and d.
In the cases where the normal approximation cannot be used, alternative methods like the exact binomial test or the chi-square test can be used.
Learn more about hypothesis here,
https://brainly.com/question/15980493
#SPJ4
Mrs. Oakes drove for 2 hours and went 50 miles. She then drove 3 more hours an
went 60 miles. What was her average speed for the whole journey?
Options
-22 miles per hour
-37 miles per hour
-42 miles per hour
-75 miles per hour
Can someone help me please
Answers
9514 1404 393
Answer:
22 miles per hour
Step-by-step explanation:
Her average speed for the journey is found by dividing the total distance by the total time:
(50 mi + 60 mi)/(2 h + 3h) = (110 mi)/(5 h) = 22 mi/h
the significance level refers to the total area under the distribution in the region of rejection. what happens to this area in a two-tailed test?
Answers
In a two-tailed test, the significance level refers to the combined area under the distribution in both rejection regions, which are located in the extreme ends of the distribution.
1. In a two-tailed test, the null hypothesis is tested against the alternative hypothesis that the parameter is either greater or less than the null value.
2. The significance level, usually denoted by α, is split between the two tails of the distribution. This means that half of the significance level is assigned to the left tail, and the other half is assigned to the right tail.
3. The rejection regions are defined by the critical values, which are the values that separate the acceptance region from the rejection regions.
4. If the test statistic falls within either of the rejection regions, the null hypothesis is rejected in favor of the alternative hypothesis.
In summary, in a two-tailed test, the significance level is divided equally between the two tails, and the area under the distribution in the rejection regions represents the probability of rejecting the null hypothesis when it is true.
Learn more about test statistic here:
brainly.com/question/14128303
#SPJ11
Kendrick attends a private school where he must wear a uniform. Last year, the price of the uniform was $52. This year's uniform price was $65. What is the percent of increase in the cost of the uniform?
Answers
The percent increase in the cost of the uniform from last year to this year is 25%.
What is the percent of increase in the cost of the uniform?To find the percent increase in the cost of the uniform from last year to this year, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100 to express the result as a percentage.
The difference between this year's price and last year's price is:
$65 - $52 = $13
The original price (last year's price) is $52.
So the percent increase in the cost of the uniform is:
percent increase = (difference / original price) x 100
percent increase = ($13 / $52) x 100
percent increase = 0.25 x 100
percent increase = 25%
Therefore, the percent increase in the cost of the uniform from last year to this year is 25%.
Read about percentage change at
https://brainly.com/question/11360390
#SPJ1
For the following three vectors, what is 3⋅
C
⋅(2
A
×
B
) ?
A
=3.00
i
^
+3.00
j
^
−3.00
k
^
B
=−3.00
i
^
+3.00
j
^
+4.00
k
^
C
=7.00
i
^
−7.00
j
^
Number Units
Answers
The value of 3⋅C⋅(2A×B) is 126.00. This is obtained by calculating the cross product of A and B, then taking the dot product with C and multiplying by 3.
To find the value of the expression 3⋅C⋅(2A×B), we need to calculate the cross product of vectors A and B, and then perform the dot product with vector C. Let's break it down step by step.
Vector A = 3.00i^ + 3.00j^ - 3.00k^
Vector B = -3.00i^ + 3.00j^ + 4.00k^
Vector C = 7.00i^ - 7.00j^
Step 1: Calculate the cross product of A and B.
A × B = (3.00i^ + 3.00j^ - 3.00k^) × (-3.00i^ + 3.00j^ + 4.00k^)
The cross product of two vectors can be calculated using the following formula:
A × B = (AyBz - AzBy)i^ + (AzBx - AxBz)j^ + (AxBy - AyBx)k^
Using the given vectors A and B:
A × B = (3.00 * 4.00)i^ + (-3.00 * -3.00)j^ + (3.00 * -3.00 - 3.00 * 3.00)k^
= 12.00i^ + 9.00j^ - 18.00k^
So, A × B = 12.00i^ + 9.00j^ - 18.00k^
Step 2: Perform the dot product of C and (2A×B).
C ⋅ (2A×B) = (7.00i^ - 7.00j^) ⋅ (2(12.00i^ + 9.00j^ - 18.00k^))
The dot product of two vectors can be calculated by multiplying corresponding components and summing them up:
C ⋅ (2A×B) = 7.00 * 2 * 12.00 + (-7.00) * 2 * 9.00 + 0
= 168.00 - 126.00 + 0
= 42.00
Therefore, 3⋅C⋅(2A×B) = 3 * 42.00 = 126.00.
The value of 3⋅C⋅(2A×B) is 126.00.
To learn more about vectors click here brainly.com/question/30958460
#SPJ11
Write the equivalent expression of 2/3(3x+21)
Answers
Answer:
2 / 9x + 63
Expand 2 / 3 (3x + 21)
Whats 4.87 rounded to the nearest tenths
Answers
Answer:
4.9
Step-by-step explanation:
Tenths is the number directly after the "." so the 8 in 4.87 is the tenth. Rounding is quite easy, since 7 is bigger than 5 you add 1 to the 8 thus rounding the 4.87 to 4.9
Answer:
4.90
Step-by-step explanation
in 4.87 the 7 hundredth is closer to 4.90 rather than 4.80
2 3/4 + 5 1/2 please answer fast
Answers
hope this helps you
8 1/4
PLZ MARK BRAINLY
Step-by-step explanation:
2¾+5½
4x2+3=11
2x5+1=11
therefore we have
11/4 + 11/2
(11+22)/4
33/4= 8¼
I will mark brainliest to the correct ans
Answers
a fast food restaurant executive wishes to know how many fast food meals adults eat each week. they want to construct a 90% confidence interval with an error of no more than 0.06 . a consultant has informed them that a previous study found the mean to be 3 fast food meals per week and found the variance to be 1.69 . what is the minimum sample size required to create the specified confidence interval? round your answer up to the next integer.
Answers
The minimum sample size required to construct a 90% confidence interval with an error of no more than 0.06, given a population mean of 3 fast food meals per week and a population variance of 1.69, is 166.
To find the minimum sample size required to construct the specified confidence interval, we need to use the following formula
n = [Z² × σ²] / E²
where n is the sample size, Z is the Z-score for the desired level of confidence (90% in this case), σ² is the population variance, and E is the maximum error or margin of error.
First, we need to find the Z-score for the 90% confidence level using a standard normal distribution table or calculator. For a two-tailed test, the Z-score is 1.645.
Next, we plug in the given values
n = [1.645² × 1.69] / 0.06²
n = 165.82
We round up to the nearest whole number since we cannot have a fraction of a person in our sample
n = 166
Learn more about confidence interval here
brainly.com/question/29680703
#SPJ4
the product of a rational and irrational number is always
Answers
The product of a rational and an irrational number can be either rational or irrational, depending on the specific numbers involved.
To illustrate this, let's consider an example:
Let's say we have the rational number 2/3 and the irrational number √2.
Their product would be (2/3) * √2.
In this case, the product is irrational.
The square root of 2 is an irrational number, and when multiplied by a rational number, the result remains irrational.
However, it's also possible to have a product of a rational and an irrational number that is rational. For example, if we consider the rational number 1/2 and the irrational number √4, their product would be (1/2) * 2, which equals 1. In this case, the product is a rational number.
Therefore, we cannot make a definitive statement that the product of a rational and an irrational number is always rational or always irrational. It depends on the specific numbers involved in the multiplication.
To learn more about rational number
https://brainly.com/question/19079438
#SPJ11
Which histogram represents a set of data that is left-skewed?.
Answers
The histogram that represents a set of data that is left-skewed is the one where the majority of the data is on the right side of the histogram, and the tail of the histogram extends to the left.
A left-skewed histogram is also called a negatively skewed histogram. In a left-skewed distribution, the majority of the data values are on the right side of the histogram, and the tail of the histogram extends to the left. This means that the data is clustered around higher values and gradually decreases as the values become smaller.
For example, imagine a dataset that represents the ages of a group of people. If most of the people in the group are young adults, but there are a few older individuals, the histogram would be left-skewed because the tail of the histogram (representing the older individuals) would extend to the left.
To know more about histogram,
https://brainly.com/question/30354484
#SPJ11
Instructions: Determine whether the following polygons are similar.
If yes, type 'yes' in the Similar box and type in the similarity
statement and scale factor. If no, type 'None' in the blanks. For the
scale factor, please enter a fraction. Use the forward dash (i.e. /) to
create a fraction (e.g. 1/2 is the same as
15
B
12
18
G
m
LL
F
N
30
20
M
25
Answers
The angles exist in the exact place in both triangles. So we will obtain the decision that they exist different.
Therefore, the the measure of their angles exists different.
How to define the polygons are similar?
No, because the measure of their angles exists different. If the angle measurements existed the exact, they would have been equivalent.
You see in the smaller triangle, the given angle exists at 55 degrees while in the bigger triangle the given angle exists at 30 degrees.
The angles exist in the exact place in both triangles. So we will obtain the decision that they exist different.
To learn more about triangles refer to:
https://brainly.com/question/1058720
#SPJ9
a bag contains 6 red marbles, 4 blue marbles and 2 white marbles. 4 marbles chosen. probability of 4 red marbles?
Answers
The probability of selecting 4 red marbles out of the bag is approximately 0.0303, or 3.03%.
To find the probability of selecting 4 red marbles out of a bag containing 6 red, 4 blue, and 2 white marbles, we first need to determine the total number of possible combinations of 4 marbles that can be selected from the bag. This can be calculated using the formula for combinations, which is:
\(nC_{r}= \frac{n!}{r!(n-r)}\)
where n is the total number of items in the set, and r is the number of items being chosen. In this case, we have:
n = 12 (6 red + 4 blue + 2 white)
r = 4 (the number of marbles being chosen)
So the total number of possible combinations is:
\(12C_{4}= \frac{12!}{(4!8!)} = 495\)
Next, we need to determine the number of combinations that contain 4 red marbles. Since there are 6 red marbles in the bag, the number of ways to choose 4 of them is:
\(6C_{4}= \frac{6!}{(4!2!)} = 15\)
Therefore, the probability of selecting 4 red marbles out of the bag is:
\(p( 4 red) = \frac{15}{495}=\frac{1}{33}\)
So the probability of selecting 4 red marbles out of the bag is approximately 0.0303, or 3.03%.
To know more about "Probability" refer here:
https://brainly.com/question/30034780#
#SPJ11
Which could be the function graphed below?
a. f(x)=√x-2
b. f(x)=√x-3+1
c. f(x)=√2x+4
d. f(x)=√x+1+8
Answers
Answer:A
Step-by-step explanation:
It would have the greatest chance to be the line on the graph
I need help please!!!!
This is interior and exterior angles of a triangle
Due at 3:00 pm
Answers
Answer:
it's 3am for me but the image doesn't seem to be loading
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Exterior angles are always the sum of two angles in the triangle, so let's make an equation!!
3x + 8x - 8 = 157
Add like terms-- 3x + 8x = 11x
Now, the equation is 11x -8 = 157
Now solve for x.
Add 8 on both sides,,
11x = 165
Now divide 11 on both sides to cancel it out and isolate x.
x=15
Hope this helps!!
-Ketifa