Answer:
Step-by-step explanation:
The stumbling block for most people is what exactly do you do the what's in the brackets of something like g(x+ 4) = 2x
The answer is, whatever you see on the left side where g(x) gets modified, you put on the right side wherever you see an x.
In this question
H( x) = x ^2
So if you see anything besides x on the left, then that's what goes on the right for x.
H(x + a) - H(x)/a = (x + a)^2 - (x^2)/a
You can expand this, but I don't see a reason for doing it.
H(x + a) - H(x)/a = (x + a)^2 - (x ^2)/a = x^2 + 2a + a^2 - x^2/a which gets you nowhere.
could someone please help me on one of these and explian to me too? plz show work
Answer:
3) rate of change = -5/4
4) rate of change = 3
5) rate of change = 1
6) steepest slope = #4
7) Please see the attached graph and explanation below
8) Please see the attached graph and explanation below
Step-by-step explanation:
Note:I will do questions 3, 4, 6, 7, and 8, and will let you work on question 5 (since it involves the same process of solving for the rate of change as questions 3 and 4). However, the rate of change for question 5 is 1.
3) Calculate the Rate of Change from the Graph:The rate of change is essentially the same as the slope of a linear equation, where it represents the ratio of a change in y to a corresponding change in x.
In order to solve for the rate of change, choose two points from the given graph.
Let (x₁, y₁) = (0, 200)
(x₂, y₂) = (80, 100)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (100 - 200)/(80 - 0)
m = -100/80
Reduce to lowest terms by dividing the numerator and the denominator by 20/20:
m = -5/4
Therefore, the rate of change is -5/4.
4) Calculate the Rate of Change from the Table:Similar to what we did in question 3, choose two ordered pairs from the given table:
Let (x₁, y₁) = (0, -1)
(x₂, y₂) = (3, 8)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
[tex]m = \frac{8 - (-1)}{3 - 0}[/tex]
[tex]m = \frac{8 + 1 }{3}[/tex]
[tex]m = \frac{9}{3}[/tex]
m = 3
Therefore, the rate of change from the given table is 3.
6) Which linear function has the steepest slope?The positive-sloped lines whose rate of change has the highest value will have the steepest slope. For lines with negative slopes (downward-tilting lines), the highest absolute value for its rate of change will have the steepest negative slope.
Hence, the linear function with the steepest slope is #4 because the value of y changes by 3 units for every unit of change in x values.
7) Graph the equation: y = -6x - 4:The linear equation, y = -6x - 4, where the slope, m = -6, and the y-intercept is (0, -4).
To graph this equation, start by plotting the y-intercept. Then, use the slope, m = -6/1 (down 6 units, run 1 unit to the right) to plot other points on the graph. In doing so, your next graph should occur at point, (1, -10). Connect the two points to create a line that will represent the given equation, y = -6x - 4.Technically, two points are sufficient enough to connect and create a line with. Please see the attached screenshot of the graph for y = -6x - 4.
8) Graph the following equation: 3x - 4y = 12The given linear equation is in its standard form, Ax + By = C. It is easier to graph when the equation is in its slope-intercept form, y = mx + b.
In order to transform the given standard equation to slope-intercept form, start by subtracting 3x from both sides:
3x - 4y = 12
3x -3x - 4y = -3x + 12
-4y = -3x + 12
Divide both sides by -4 to isolate y:
[tex]\frac{-4y}{-4} = \frac{-3x + 12}{-4}[/tex]
y = ¾x - 3 ⇒ This is the slope-intercept form where the slope, m = ¾, and the y-intercept is (0, -3).
Graph:Similar to how we graphed the equation from question 7, start by plotting the y-intercept (0, -3) on the graph. Then, use the slope, m = ¾ (3 units up, 4 units run), to plot other points on the graph. Your next point occurs at the x-intercept, (4, 0). The x-intercept is the point on the graph where it crosses the x-axis. Connect the two points to create a line that will represent the given equation, 3x - 4y = 12.
Please see the attached screenshot of the graph for 3x - 4y = 12.
The first truck carries 35 tons less rice than the second truck. The number of paddy in the first truck is 2/3 of the amount in the second truck. How many tons of paddy does each cart hold?
Answer:
First truck = x
Second truck = y
x + 35 = y
x = 2/3y
So
2/3y +35=y
1/3y = 35
y = 35*3
y = 105
And ,
x = 2/3y = 70
The first truck carry 70 tons while the second carry 105 tons
Let the amount the first truck can carry be xLet the amount the second can carry be y
If the first truck carries 35 tons less rice than the second truck, then;
x = y - 35
If the number of paddy in the first truck is 2/3 of the amount in the second truck
x = 2/3 y
Equate both to have:
2/3 y = y - 35
2/3y - y = -35
-y/3 = -35
y = 105
Since x = 2/3 y
x = 2/3 * 105
x = 70
Hence the first truck carry 70 tons while the second carry 105 tons
Laern more on equations here: https://brainly.com/question/16863577
Factorizing by grouping
xy + 2x + 3y + 6
Answer:
(x+3)(y+2)
Step-by-step explanation:
(xy+2x)+(3y+6)
x(y+2)+3(y+2)
(x+3)(y+2)
Rewrite 1/3 book for 5/6 an hour as a unit rate.
A.2/5 book/an hour
B. 1/5 book/hour
C. 2 1/2 books/hour
D. 5 books/hour
Answer:
A
Step-by-step explanation:
Calculate the simple interest on investing $650 for 3 years at rate of 11% per annum.
Answer:
214.5 usd
Step-by-step explanation:
blc we will do 650 times 11 .over 100 to get the annual the multiply it by 3
HOPE HELPED!!
What is the solution of (sqrt of)1-3x = x+3?
Answer:
x=-1/2
Step-by-step explanation:
if you need a explanation tell me but I’m in Math class rn
A student solved a system of equations by elimination. The answer is not correct. Describe the error in the solution.
Original Problem:
3x−2y=8
x+y=2
Student Work:
3x−2y=8
2x+2y=2
5x=10
x=2
The student went from x+y = 2 to 2x+2y = 2, which is not correct. They multiplied the left side by 2, but forgot about the right hand side.
They should have gone from x+y = 2 to 2x+2y = 4 after multiplying both sides by 2.
So they should have this new equivalent system
[tex]\begin{cases}3x-2y = 8\\2x+2y = 4\end{cases}[/tex]
Add straight down and we end up with the new equation 5x = 12 which solves to x = 12/5 = 2.4
Use that x value to solve for y. You should get y = -2/5 = -0.4
Determine whether each function is even, odd, or neither.
f(x) = x²_9
g(x) = |x-3
f(x) = 22-1
g(x) = x + x2
Rule for even
[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=f(x),x\in D_f}[/tex]
Rule for odd
[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=-f(x),D_f}[/tex]
Here D_f means domain of function.#1
[tex]\\ \sf\longmapsto f(x)=\sqrt{x^2}-9[/tex]
Take x=4[tex]\\ \sf\longmapsto f(4)=\sqrt{4^2}-9=4-9=-5[/tex]
[tex]\\ \sf\longmapsto f(-4)=\sqrt{(-4)^2}=4-9=-5[/tex]
Even function✓#2
[tex]\\ \sf\longmapsto g(x)=|x-3|[/tex]
Take x=2[tex]\\ \sf\longmapsto g(2)=|2-3|=|-1|=1[/tex]
[tex]\\ \sf\longmapsto g(-2)=|-2-3|=|-5|=5[/tex]
[tex]\\ \sf\longmapsto -g(2)=-1[/tex]
Odd function✓#3
[tex]\\ \sf\longmapsto f(x)=\dfrac{x}{x^2-1}[/tex]
Take x=3[tex]\\ \sf\longmapsto f(3)=\dfrac{3}{3^2-1}=\dfrac{3}{9-1}=\dfrac{3}{8}[/tex]
[tex]\\ \sf\longmapsto f(-3)=\dfrac{-3}{(-3)^2-1}=\dfrac{-3}{8}[/tex]
[tex]\\ \sf\longmapsto -f(3)=\dfrac{-3}{8}[/tex]
Odd function ✓#4
[tex]\\ \sf\longmapsto g(x)=x+x^2[/tex]
Take x=1[tex]\\ \sf\longmapsto g(1)=1+(1)^2=2[/tex]
[tex]\\ \sf\longmapsto g(-1)=-1+(-1)^2=0[/tex]
[tex]\\ \sf\longmapsto -g(1)=-2[/tex]
Neither✓please help i really need it.
change the subject of the formula to x
x/6 − 5 = w
Step-by-step explanation:
x/6=w+5
x=6(w+5)
x=6w+30.
hope this helps you.
The value of x is x = 6w + 30
Data;
[tex]\frac{x}{6} - 5 = w[/tex]Subject of FormulaThis is a mathematical terms used to represent a value from an entire equation.
In the given equation, we are given a value required to make x the subject of formula
Step 1
Add 5 to both sides of the equation
[tex]\frac{x}{6}-5 + 5 = w + 5\\\\\frac{x}{6} = w + 5[/tex]
Step 2
Cross multiply both sides
[tex]\frac{x}{6} = w + 5\\\frac{x}{6} = \frac{w+5}{1} \\x(1) = 6(w+5)\\x = 6(w+5)\\x = 6w + 30[/tex]
From the calculations above, the value of x is x = 6w + 30
Learn more on subject of formula here;
https://brainly.com/question/790938
Can some one help me with this simple project GIVING EXTRA BRAINLIST!!!!
Okay,
Im not going to do the project because you draw that but, ill give an online overview of ur "project."
very time Luisa bakes a batch of brownies, she uses 12 cup of chocolate. If she has 32 cup(s) of chocolate remaining, how many batches of brownies can Luisa make? Input your answer as a whole number
Answer:
4
Step-by-step explanation:
Answer:she can make 4 batches of brownies
Step-by-step explanation:
since she already made a batch of brownie with 1/2 cup and she has 3/2 cups left, that means she can make 3 more
3+1=4
hope this helps
Step-by-step explanation:
Also try searching you question in brainly some of these questions are asked and answered
What is the solution for the system of equations?
y=−x+4y=x−2
Question 1 options:
(1, 3)
(−2, 1)
(3, 1)
(1, −2)
Answer:
(3, 1)
Step-by-step explanation:
y = −x + 4
y = x − 2
-x + 4 = x - 2
4 = 2x - 2
6 = 2x
3 = x
y = (3) − 2
y = 1
Answer:
x = 3 and y = 1
Step-by-step explanation:
In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?
The probability that a student who does not have a brother has a sister is 53.33%.
ProbabilityGiven that in a class of 20 students, 5 have a brother and 11 have a sister, and there are 3 students who have a brother and a sister, to determine what is the probability that a student who does not have a brother has a sister the following calculation must be performed:
20 - 5 = 10011 - 3 = X15 = 1008 = X8 x 100 / 15 = X800 / 15 = X53.33 = XTherefore, the probability that a student who does not have a brother has a sister is 53.33%.
Learn more about probability in https://brainly.com/question/13553988
Determine the value Y, if X is -2
Y=X-12
A line goes through the points (8,11) and (-2,7). What is the slope of the line? Show your work. Write the equation of the line in point-slope form. Show your work. Write the equation of the line in slope-intercept form. Show your work.
Answer:
Step-by-step explanation:
Help is appreciated! Ty
Answer:
Step-by-step explanation:
Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes it would take her to eat
35 hot dogs if she can keep up the same pace.
Answer: Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes it would take her to eat
35 hot dogs if she can keep up the same pace.
Step-by-step explanation: Hope I am right.
Two people agree to meet at a given time, but they are both late. the amount of time that they are late is a random variables uniformly distributed between 0 and 10, in minutes. Additionally, the amounts of time they are late are independent. Compute the probability that the person who arrives first will wait more than two minute for the other.
How did the Twenty-fourth Amendment to the Constitution affect African Americans?
A. By defining citizenship, it meant all African Americans were entitled to due process.
B. By allowing citizens to directly elect senators, it gave African Americans a greater voice in the government.
C. By banning slavery, it meant millions of African Americans were free from bondage.
D. By eliminating poll taxes, it meant more African Americans could vote.
Answer:
The answer is D,..................
Step-by-step explanation:
D
Celeste wants to have her hair cut and permed and also go to lunch. She knows she will need $68. The perm costs twice as much as her haircut and she needs $5 for lunch .
Answer:
42 dollars
Step-by-step explanation:
2h+h+5=68
3h+5=68
3h=63 divided by 3
21*2=$42
Will give brainly crown (if shown step by steps I'll give half of my entire points)
Felix and Oscar applied for the same credit card from the same bank. The bank checked both of their FICO scores. Felix had an excellent credit rating, and Oscar had a poor credit rating.
a. Felix was given a card with an APR of 14%. What was his monthly percentage rate? Round to the nearest hundredth of a percent.
b. Oscar was given a card with an APR of 21%. What was his monthly percentage rate? Round to the nearest hundredth of a percent.
c. If each of them had an average daily balance of $800 for a specific month, and had to pay a finance charge, how much more would Oscar pay than Felix?
A) The monthly percentage rate of Felix is;
B) The monthly percentage rate of Oscar is;
C) The amount that Oscar will pay more than Felix is; $0.96
Annual Percentage Rate
A) Felix was given a card with APR of 14%.
Thus;
Monthly percentage rate = 14%/12 = 1.63%
B) Oscar was given a card with an APR of 21%. Thus;
Monthly percentage rate = 21%/12 = 1.75%
C) We are told that each of them had an average daily balance of $800 for a specific month.
Thus;
Amount paid by Felix = 800 * 1.63%
Amount paid by Felix = $13.04
Amount paid by Oscar = 800 * 1.75%
Amount paid by Oscar = $14
Difference in Payments = $14 - $13.04 = $0.96
Thus, Oscar pays $0.96 more than Felix.
Read more about Annual Percentage rate at; https://brainly.com/question/11686424
a. felix: 14/12 = 1.167% (round to nearest hundredth = 1.17%)
b. oscar 21/12 = 1.75% (no need to round here)
c.
felix: (1.17/100) x 800 = 9.36
oscar: (1.75/100) x 800 = 14.00
14.00 - 9.36 = 4.64
oscar will pay $4.64 more than felix.
PLEASE HELP
What is required in order to win a game of pickleball?
Group of answer choices
The winning team must serve.
The winning team must smash the ball.
The winning team must return service.
Answer:
I think A
Step-by-step explanation:
Unlike tennis or badminton, only the serving team can win a point.
Answer:
I believe its c but I barely know how to play that
round 87,255 to the nearest ten thousand.
Answer:
90,000
Step-by-step explanation:
What expressions are equivalent to -6+4q+(-6q)
Simplified answer:
-6 - 2q
Step-by-step explanation:
-6 + 4q + (-6q)
=> -6 + 4q - 6q
=> -6 + (-2q)
=> -6 - 2q
I think this is the expression. Try to simplify your options and see if one of them equal to -6 - 2q. Hoped this helped.
Trigonometry:
Find the value of θ
Answer:
θ ≈ 50.1°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{61}{95}[/tex] , then
θ = [tex]cos^{-1}[/tex] ( [tex]\frac{61}{95}[/tex] ) ≈ 50.1° ( to the nearest tenth )
all things algebra unit 5 homework 2
Jalil mixed
3/
8 cup of sugar with
1
of water. How many more cups of water
than sugar did he use in his mixture?
Answer:
Jalil used 5/8 more cups of water than sugar
Step-by-step explanation:
write any four means by which chemical action may be induced
Answer:
See below
Step-by-step explanation:
1. Addition of the second reagent when the reaction is spontaneous (It will proceed on its own with no additional stimulus).
2. Addition or subtraction of energy (heat, light, electricity, etc) for endothermic and exothermic reactions
3. Addition of a reaction site (catalyst)
4. I can't think of a fourth, but would suggest that #2 be broken into individual categories:
a. Addition of heat,
b. Exposure to light,
c. Addition of electrons (batteries or electrical power), and
d. Removal of energy for exothermic reactions
Write the statement "--5 times x subtracted from 22 is less than 9 more than
x" as a mathematical inequality. I dont know this sorry
Answer:
5x-22<9<x
Step-by-step explanation:
5 times x = 5x
subtract 22 = 5x-22
less then = 5x-22<
9 more then x = 5x-22<9<x
please help 100 pnts brainlist
Answer:
The principal is $6,000 when i = $14,400, r = 0.08 and t = 30 yr
Step-by-step explanation:
We are given i = prt, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.
We first solve i = prt for p. To accomplish this, divide both sides by rt, which results in:
i p
----- = -----
rt 1
Here we substitute $14,400 for p, 0.08 for r and 30 for t.
We get the following expression for p:
$14,400
p = ----------------- = $6,000
(0.08)(30)
The principal is $6,000 when i = $14,400, r = 0.08 and t = 30 yr
Answer:
6000
Step-by-step explanation:
14,400= .08 x 30 x p , .08 x 30 = 2.4, so divide 14,400 by 2.4 and you get 6000