Answers
vertex: (-4,-7)
x intercepts: (-5.5,0), (-2.5, 0)
and those two other points
the graph should look something like this:
Related Questions
Which of the following
examples have a constant rate of change?
A : You drive from Colorado to Texas. In the first 4 hours, you cover 240 miles, and in the second 5 hours, you cover another 240 miles.
B : The money you put in the bank earns 5% Interest. This means that the bank pays you 5% of the amount of the money kept in the bank each year.
C : A salesperson earns $50 plus $10 for every $100 of merchandise he sells.
D : The amount bacteria double every hour.
Answers
Answer:
C : A salesperson earns $50 plus $10 for every $100 of merchandise he sells.
Step-by-step explanation:
If a salesperson earns $50 plus $10 for every $100 of merchandise he sells, the rate of change is 100. The linear equation is T = 50 + 100h, where T is the total amount he earns and h is the number of $100 in merchandise he sells.
The example that represents the constant rate will be a salesperson who earns $50 plus $10 for every $100 of merchandise he sells. Then the correct option is C.
What is the average rate change?It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.
Let's check all the options, then we have
A: You drive from Colorado to Texas. In the first 4 hours, you cover 240 miles, and in the second 5 hours, you cover another 240 miles. It is an example of a linear function but the slope gets changed after 2 hours.
B: The money you put in the bank earns 5% Interest. This means that the bank pays you 5% of the amount of the money kept in the bank each year. It is an example of the exponential function.
C: A salesperson earns $50 plus $10 for every $100 of merchandise he sells. It is an example of a linear function.
D: The number of bacteria doubles every hour. It is an example of the exponential function.
The example that represents the constant rate will be a salesperson who earns $50 plus $10 for every $100 of merchandise he sells. Then the correct option is C.
More about the average rate change link is given below.
https://brainly.com/question/28744270
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Complete the following questions on the picture
Answers
Answer:
Step-by-step explanation:
Hello!
For this particular organism population the growth rate is so that is doubled every 20 years. Using the starting population of 9 billion individuals by year 2000 you have to calculate the expected population values every 20 years.
All you have to do is multiply the original population by 2 to obtain the next value.
Year 2000:
Population: 9*10⁹ or 9 000 000 000 x 2= 18 000 000 000
To express 18 billion in scientific notation you have to add a "comma" after the first digit and then count the number of digits behind it:
1, 8 000 000 000 there are 10 digits behind the first digit. This notation summarizes the number in base 10 exponents so 18 billion in scientific notation is:
1.8 * ten "exponent the number of digits behind the comma"
1,8*10¹⁰So the population for year 2020 will be 1,8*10¹⁰
Next for year 2040 you have to multiply the population of year 2020 by 2
1,8*10¹⁰ x 2= 3,6*10¹⁰
And so on:
2060: 3,6*10¹⁰ x 2)= 7.2*10¹⁰
2080: 7.2*10¹⁰ x2= 1.44*10¹¹
2100: 1.44*10¹¹ x2= 2.88*10¹¹
2120: 2.88*10¹¹x2= 5.76*10¹¹
2140: 5.76*10¹¹x2= 1.152*10¹²
2160: 1.152*10¹²x2= 2.304*10¹²
2180: 2.304*10¹²x2= 4.608*10¹²
2200: 4.608*10¹² x2= 9.216*10¹²
2220: 9.216*10¹²x2= 1.8432*10¹³
2240: 1.8432*10¹³x2= 3.6864*10¹³
2260: 3.6864*10¹³x2= 7.3728*10¹³
2280: 7.3728*10¹³x2= 1.47456*10¹⁴
2300: 1.47456*10¹⁴x2= 2.94912*10¹⁴
2320: 2.94912*10¹⁴x2= 5.89824*10¹⁴
2340: 5.89824*10¹⁴x2= 1.179648*10¹⁵
2360: 1.179648*10¹⁵x2= 2.359296*10¹⁵
2380: 2.359296*10¹⁵x2= 4.718592*10¹⁵
2400: 4.718592*10¹⁵x2= 9.437184*10¹⁵
So for year 2400 the expected population will be 9.437184*10¹⁵, writen in common notation that is:
9 437 184 000 000 000 individuals
I hope this helps!
g Given p, q, and r three propositional variables, how many different ways are for the propositional logic formula (p -> q) ^ (q -> r) ^ p to be evaluated to FALSE
Answers
Answer:
There are 7 ways in which the formula can be evaluated to False.
Step-by-step explanation:
In order to solve this problem we will need to build a truth table. In order to build the truth table, we must start by setting the possible truth values combinations. In total there must be 8 rows, which you can see on the first three columns of the attached table.
Next, it is advisable that you divide the formula in little chunks of information that will be easier to evaluate. One column can be (p->q).
Let's evaluate that first column. In general, that column can only be false if p=T -> q=F. Which happens only on the 3dr and 4th rows of the table. The rest of the statements are true.
The next column will be (q->r). The same condition is met here, but this time you take into account the values given on the q and r columns. The false values will happen only on the 2nd and 6th rows. The rest of the rows for that collumn should be true.
Finally you can test for the whole formula. the first, 4th and 5th columns must be true for the formula to be true as well, which will happen only on the first row. The rest of the rows will have at least one false statement which makes the whole row false. So the rest of the rows are false.
(see attached picture for the whole truth table)
The assistant principal set up chairs in the auditorum for graduation. She placed
the chairs in 24 rows with 28 chairs in each row. How many chairs are set up in
the auditorium
Answers
Answer:
672 chairs
Step-by-step explanation:
24 × 28 = 672
hope this helps
If the code for CAB is DEK, what is the code for BED?
Answers
Answer:
CIM
Step-by-step explanation:
C is the 3rd letter of the alphabet, A is the 1st, and B is the 2nd.
CAB = 3,1,2
Repeating for DEK:
DEK = 4,5,11
Comparing:
4−3 = 1
5−1 = 4
11−2 = 9
BED = 2,5,4, so adding the corresponding numbers:
2+1 = 3
5+4 = 9
4+9 = 13
So the code is CIM.
The code for BED is CIM. A further explanation is below.
As we know that,
"C" is the third letter of the alphabet"A" is the first letter of the alphabet."B" is the Second letter of the alphabet.then,
→ CIB = 3, 1, 2
Same as above,
→ DEK = 4, 5, 11
By comparing the values, we get
[tex]4-3 =1[/tex][tex]5-1 =4[/tex][tex]11-2 =9[/tex]Same as above,
→ BED = 2, 5, 4
then,
[tex]2+1=3[/tex][tex]5+4 =9[/tex][tex]4+9 =13[/tex]Thus the above approach is appropriate.
Learn more:
https://brainly.com/question/18804431
50 Points. Select all correct graphs. Choose the graph that indicate equation with no solutions.
Answers
Concepts:
Graph equationsAnswer:
First option and fifth option
-2x-1=3^(-x) and 2^(-x)+2= -5^x + 3 don't intersect.
Therefore, the graphs have no solution.
Which of the following lines are parallel to 2Y - 3X = 4?
A. Y = 2/3 X + 4
B. Y = 6/4 X
C. 2Y=8-3X
Answers
Answer:
B. Y = 6/4 X
Step-by-step explanation:
Well to find its parallel line we need to put,
2y - 3x = 4 into slope-intercept.
+3x to both sides
2y = 3x + 4
Now we divide everything by 2,
y = 3/2x + 2
So a line that is parallel to the given line will have the same slope but different y intercept, meaning we can cross out choices A and C.
To check look at the image below ↓
Thus,
answer choice B. Y = 6/4 X is correct.
Hope this helps :)
There were females and males present at the high school pep rally. Find the ratio of males to the total number of people present. Express as a simplified ratio.
Answers
Answer: 4:9
Step-by-step explanation:
The complete question is provide in the attachment below.
Given, Number of females = 125
Number of males = 100
Total people = 120+100=225
Now, the ratio of males to the total number of people present = [tex]\dfrac{\text{Total number of males}}{\text{Total people}}[/tex]
[tex]=\dfrac{100}{225}[/tex]
Divide numerator and denominator by 25 , we get
Ratio of males to the total number of people present =[tex]\dfrac{4}{9}[/tex]
Hence, the ratio of males to the total number of people present = 4:9
Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward along the z-axis a distance of 7 units. What are the coordinates of your position
Answers
Answer:
(4,0,-7)
Step-by-step explanation:
The initial position was (0,0,0) since it was the origin
Now, we have a movement of positive x at a distance of 4 units, with a distance of z a total of 7 units(negative since downward)
The current position is thus;
(4,0,-7)
Thus correlates to (x,y,z) and our y has remained zero as there is no movement along the y-axis
HELP ASAP I NEED THIS RIGHTNOW 30 points
Answers
Answer:
Pretty sure it is c
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
She will be painting the outsides of the table, so we need to find the surface area of the table.
There is the flat part of the table, which is a rectangular prism. There are also four legs, which are rectangular prism.
So, she will paint C. the surface area of 6 rectangular prisms.
Hope this helps!
Quick!!! Urgent!!!!!!!!!
Answers
Answer:
my best answer for this is B. False.
I calculated as fast as i can.
James determined that these two expressions were equivalent expressions using the values of x - 4 and x-6.
Which statements are true? Check all that apply.
7x+4 and 3x+5+4x-1
When x-2, both expressions have a value of 18.
The expressions are only equivalent for x = 4 and x-6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When x-0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if x - 8.
Answers
Answer:
1 - Correct
2 - incorrect
3- incorrect
4 - incorrect
5 - Correct
Step-by-step explanation:
Notice that
3x + 5 + 4x -1 = 3x + 4x + 5 -1 = 7x + 4
therefore the two expressions are equivalent for ANY number, specially x = 4 and x = 6 therefore
1 - Correct
Since that is true for all numbers
2 - incorrect
3- incorrect
4 - incorrect
The expressions are equivalent for all numbers therefore
5 - Correct
which point is a solution tot eh linear inequality y < -1/2x + 2?
(2,3)
(2,1)
(3,-2)
(-1,3)
Answers
Answer:
Step-by-step explanation:
(3,-2)
plug in 3 for x and -2 for y
-2< -1/2x3+2
-2<-1.5+2
-2<0.5
The Ambell Company uses batteries from two different manufacturers. Historically, 60% of the batteries are from manufacturer 1, and 90% of these batteries last for over 40 hours. Only 75% of the batteries from manufacturer 2 last for over 40 hours. A battery in a critical tool fails at 32 hours. What is the probability it was from manufacturer 2?
Answers
Answer:
The probability that the battery in a critical tool fails at 32 hours was from manufacturer 2 is 0.625
Step-by-step explanation:
Given that:
60% of the batteries are from manufacturer 1
90% of these batteries last for over 40 hours
Let the number of the battery duration be n = 0.90
Therefore n' = 1 - 0.90 = 0.10
Let p = manufacturer 1 and q = manufacturer 2
q = 1 - p
q = 1 = 0.6
q = 0.4
Thus ; 40% of the batteries are from manufacturer 2
However;
Only 75% of the batteries from manufacturer 2 last for over 40 hours.
Let number of battery duration be m = 0.75
Therefore ; m' = 1 - 0.75 = 0.25
A battery in a critical tool fails at 32 hours.
Thus; the that the battery in a critical tool fails at 32 hours was from manufacturer 2 is:
[tex]= \dfrac{q \times m' }{ p \times n' + q \times m' }[/tex]
[tex]= \dfrac{0.4 \times0.25 }{ (0.6 \times 0.1) + (0.4 \times 0.25 ) }[/tex]
[tex]=\dfrac{0.1}{0.06+ 0.1}[/tex]
[tex]=\dfrac{0.1}{0.16}[/tex]
= 0.625
The probability that the battery in a critical tool fails at 32 hours was from manufacturer 2 is 0.625
The probability that the battery was from manufacturer 2 is 62.5%.
Since the Ambell Company uses batteries from two different manufacturers, and historically, 60% of the batteries are from manufacturer 1, and 90% of these batteries last for over 40 hours, while only 75% of the batteries from manufacturer 2 last for over 40 hours, if a battery in a critical tool fails at 32 hours, to determine what is the probability it was from manufacturer 2 the following calculation must be performed:
You must establish the percentage of failure of the total batteries, and determine what percentage of failures corresponds to each manufacturer. Manufacturer 1 = 60 x 0.1 = 6 Manufacturer 2 = 40 x 0.25 = 10 Total = 16 16 = 100 10 = X 100 x 10/16 = X 62.5 = X
Therefore, the probability that the battery was from manufacturer 2 is 62.5%.
Learn more in https://brainly.com/question/14461509
If four times the brother's age is subtracted from three times the sister's age, the difference is 17. Give an equation that represents this statement using bbb as the age of the brother and s as the age of the sister.
Answers
Answer:
3s-4bbb=17
Step-by-step explanation:
brother=4bbb
sister=3s
3s-4bbb=17
In a Gallup poll of randomly selected adults, 66% said that they worry about identity theft. For a group of 1013 adults, the mean of those who do not worry about identify theft is closest to:
Answers
Answer:
[tex]Mean = 344[/tex]
Step-by-step explanation:
Given
[tex]Population = 1013[/tex]
Let p represents the proportion of those who worry about identity theft;
[tex]p = 66\%[/tex]
Required
Mean of those who do not worry about identity theft
First, the proportion of those who do not worry, has to be calculated;
Represent this with q
In probability;
[tex]p + q = 1[/tex]
Make q the subject of formula
[tex]q = 1 - p[/tex]
Substitute [tex]p = 66\%[/tex]
[tex]q = 1 - 66\%[/tex]
Convert percentage to fraction
[tex]q = 1 - 0.66[/tex]
[tex]q = 0.34[/tex]
Now, the mean can be calculated using:
[tex]Mean = nq[/tex]
Where n represents the population
[tex]Mean = 1013 * 0.34[/tex]
[tex]Mean = 344.42[/tex]
[tex]Mean = 344[/tex] (Approximated)
For the functions f(x)=2x−5 and g(x)=3x2−x, find (f∘g)(x) and (g∘f)(x).
Answers
Hi,
f°g means : apply first g then f . so calculate "g" and then use result as "x" in f.
g°f means : you apply first f then g
so : f°g = 2(3x²-x) -5 = 6x²-2x- 5
To improve in math, you need practice. have a try with g°f :)
give the answer in comments, and I will tell you if you are correct.
good luck.
WHat is the answer to this?
Answers
Answer:
0.9
Step-by-step explanation:
First, convert them all into fractions:
[tex]2\frac{1}{3}=\frac{7}{3}[/tex]
[tex].5=\frac{1}{2}[/tex]
Now, we have:
[tex]\frac{4x+9}{\frac{7}{3} } =\frac{3x}{\frac{1}{2} }[/tex]
Cross multiply:
[tex]\frac{1}{2} (4x+9)=\frac{7}{3} (3x)[/tex]
On the left, distribute. On the right, notice that the 3 in the denominator and the coefficient 3 cancel:
[tex]2x+4.5=7x[/tex]
[tex]4.5=5x[/tex]
[tex]x=0.9=9/10[/tex]
Answer and step-by-step explanation:
Photo
Andreas wants to estimate how many fish there are in a lake. One day he catches 20 fish,marks them,and returns them to the lake. The next day he catches 10 fish of which four are marked. Estimate the number of fish in the lake.
Answers
Answer:
50
Step-by-step explanation:
The ratio of marked fish to caught fish is 4:10, we need to solve for x in 20:x, since 4 * 5 = 20, 10 * 5 = x so x = 50 fish.
Change Y = 3X to the standard form of the equation of a line.
Answers
Answer:
-3x+y=0
Step-by-step explanation:
Standard form= Ax+Bx=C
Add -3x both sides, answer -3x+1y=0
A drawer is filled with 3 black shirts, 8 white shirts, and 4 gray shirts. One shirt is chosen at random from the drawer. Find the probability that it is not a white shirt. Write your answer as a fraction.
Answers
The probability that the shirt that is chosen at random from the drawer is not a white shirt, can be found to be 47 %
How to find the probability ?The probability that the shirt picked is not a white shirt can be found by first finding the number of shirts that are not white shorts in the drawer. This number is :
= Number of black shirts + Gray shirts
= 3 + 4
= 7 shirts
Then, find the total number of shirts in the drawer, including the white shirts :
= Number of black shirts + Gray shirts + White shirts
= 3 + 8 + 4
= 15 shirts
The probability that when a shirt is chosen at random, that it is not a white shirt is :
= Number of shirts that are not white / Total number of shirts
= 7 / 15
= 47 %
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limit xtens to 0 x^2logx^2 what is the ans of interminate forms?
Answers
Rewrite the limit as
[tex]\displaystyle\lim_{x\to0}x^2\log x^2=\lim_{x\to0}\frac{\log x^2}{\frac1{x^2}}[/tex]
Then both numerator and denominator approach infinity (with different signs, but that's not important). Applying L'Hopital's rule, we get
[tex]\displaystyle\lim_{x\to0}\frac{\log x^2}{\frac1{x^2}}=\lim_{x\to0}\frac{\frac2x}{-\frac2{x^3}}=\lim_{x\to0}-x^2=\boxed{0}[/tex]
Solve for x.
a) 5√12
b) 12√5
c) 33
d) 6√5
Answers
Answer:
b
Step-by-step explanation:
Altitude- 0n- hypotenuse theorem
(leg of big Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse ), that is
x² = (30 - 6) × 30 = 24 × 30 = 720 ( take square root of both sides )
x = [tex]\sqrt{720}[/tex]
= [tex]\sqrt{144(5)}[/tex] = [tex]\sqrt{144}[/tex] × [tex]\sqrt{5}[/tex] = 12[tex]\sqrt{5}[/tex] → b
Two ballpoint pens are selected at random from a box that contains3 blue pens, 2 red pensand 3 green pens. If X is the number of blue pens
Answers
Answer: 3/(28) ≈ 10.7%
Step-by-step explanation:
3 blue + 2 red + 3 green = 8 total pens
First pick and Second pick
[tex]\dfrac{3\ blue\ pens}{8\ total\ pens}\quad \times \quad \dfrac{2\ remaining\ blue\ pens}{7\ remaining\ total\ pens}\quad =\large\boxed{\dfrac{3}{28}}[/tex]
Find the average rate of change of the function f(x), represented by the graph, over the interval [-4, -1]. Calculate the average rate of change of f(x) over the interval [-4, -1] using the formula . The value of f(-1) is . The value of f(-4) is . The average rate of change of f(x) over the interval [-4, -1] is .
Answers
Answer:
2
Step-by-step explanation:
We are given that a graph which represents f(x).
Interval:[-4,-1]
We have to find the average rate of change of the function f(x).
From the graph we can see that
f(-4)=-3
f(-1)=3
We know that the average rate of change of the function
Average rate =[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Using the formula
Average rate of change of f=[tex]\frac{3-(-3)}{-1-(-4)}[/tex]
Average rate of change of f=[tex]\frac{6}{3}=2[/tex]
j/2 +7=-12 solve for j
Answers
Answer:
j/2+7= -12
(j+14)/2= -12
cross-multiply
j+14= -24
j= -38
Answer:
[tex]\boxed{j=-38}[/tex]
Step-by-step explanation:
[tex]\frac{j}{2} +7=-12[/tex]
Subtract 7 on both sides.
[tex]\frac{j}{2} +7-7=-12-7[/tex]
[tex]\frac{j}{2}=-19[/tex]
Multiply both sides by 2.
[tex]\frac{j}{2}(2)=-19(2)[/tex]
[tex]j=-38[/tex]
WHY CAN'T ANYONE HELP ME PLEASE? THANKS! A student at a university makes money by buying and selling used cars. Charles bought a used car and later sold it for a 15% profit. If he sold it for $4669, how much did Charles pay for the car?
Answers
Step-by-step explanation:
Given,
a student (Charles) bought a car and sold it in 15 % profit for $4669.
we have the formula,
[tex]cp = \frac{sp \times 100}{100 + p\%} [/tex]
so,
[tex]cp = \frac{4669 \times 100}{100 + 15} [/tex]
by simplifying it we get,
CP is $4060.
Therefore, the cp was $4060.
Hope it helps...
The snowfall from this snowstorm above covered most of IA, northern IL, northern IN, and southern MI. While some locations in that swath saw over a foot of snow, let’s assume the average depth of the snow over this area was 8 inches. If the total area covered by the 8 inch average depth was 72,150 square miles, what percentage of the volume of the Grand Canyon would this amount of snow fill?
Answers
Answer:
Percentage volume of the Grand Canyon filled by the snow = 0.911 %
Step-by-step explanation:
This question is incomplete; please find the complete question in the attachment.
Given :
Area of the snow cover = 72150 square miles
Depth of the snow = 8 inches
Volume of the Grand Canyon = 4.166 × 101² m³
Solution:
Area of the snow cover = 72150 square miles
≈ 72150 × 2589988 square meter
≈ 1.868 × 10¹¹ square meter
Depth of the snow = 8 inches ≈ 0.2032 m
Volume of the snow on this area = Area × depth of the snow
= 1.868 × 10¹¹ × 0.2032
= 3.796 × 10¹⁰ m³
Volume of the Grand Canyon = 4.166 × 10¹² m³
Percentage volume of the Grand Canyon filled by the snow
= [tex]\frac{\text{Volume of the snow}}{\text{Volume of the Grand Canyon}}\times 100[/tex]
= [tex]\frac{3.796\times 10^{10} }{4.166\times 10^{12} }\times 100[/tex]
= 0.911%
A salesperson earns 6% commission on $25.000. How much
commission was earned?
The commission earned was $
Answers
Answer: $1500
Step-by-step explanation:
6% commission on $25,000
= 25000 x .06
= 1500
I need help! I don’t understand and need helping
Answers
Answer:
125
Step-by-step explanation:
30+25+x=180
55+x=180
x=180-55
x=125
Answer:
x = 64.3Step-by-step explanation:
To find x we use tan
tan ∅ = opposite / adjacent
From the question
x is the adjacent
30 is the hypotenuse
So we have
tan 25 = 30/x
x = 30/tan 25
x = 64.33
x = 64.3 to the nearest tenth
Hope this helps you