If there are nine people in a square, then there will be 3 rows and 3 columns.
Because 3² = 9 or √9 = 3
state if the given functions are inverses
NO LINKS!!!! Part 1
Step-by-step explanation:
3:
h(x)=(-3x-15)/5
let y=(-3x-15)/5
interchanging role of x &y
x=(-3y-15)/5
5x+15=-3y
y=-(5x+15)/3
h-1(x)=-(5x+15)/3
not
equal to f(x)=(-3x-6)/4
Given function are not function of each other .
4:
g(x)=2/3x-2/3
let
y=2/3(x-1)
interchanging role of x &y
x=2/3(y-1)
3/2x+1=y
g-1(x)=3/2x+1
not equal to f(x)=½x+1
Given function are not function of each other .
Problem 1
Answer: You are correct. They are inverses--------------------
Explanation:
One way to see if we have an inverse pair or not is to compute these two composite functions
f(g(x))g(f(x))If both result in x, and just that, then we have shown that they are inverses of one another.
f(x) = (2x)/3
f(x) = (2/3)x
f(g(x)) = (2/3)*g(x)
f(g(x)) = (2/3)*(3/2)x
f(g(x)) = x
The steps to show that g(f(x)) = x are very similar
g(x) = (3/2)x
g(f(x)) = (3/2)*f(x)
g(f(x)) = (3/2)*(2/3)*x
g(f(x)) = x
So this verifies that you have the correct answer.
======================================================
Problem 2
Answer: These functions are inverses of each other.--------------------
Explanation:
We'll use the same idea as problem 1
f(x) = 2 - (3/4)*x
f(g(x)) = 2 - (3/4)*( g(x) )
f(g(x)) = 2 - (3/4)*( (-4/3)x + 8/3 )
f(g(x)) = 2 - (3/4)*(-4/3)x - (3/4)*(8/3)
f(g(x)) = 2 + x - 2
f(g(x)) = x
So far so good, but we need to check the other way around as well
g(x) = (-4/3)x + 8/3
g(f(x)) = (-4/3)*( f(x) ) + 8/3
g(f(x)) = (-4/3)*( 2 - (3/4)*x ) + 8/3
g(f(x)) = (-4/3)*(2) + (-4/3)*(-3/4)*x + 8/3
g(f(x)) = -8/3 + x + 8/3
g(f(x)) = x
This verifies that f(x) and g(x) are inverses of each other.
Problems 3 and 4 will have similar steps.
3 x 1/2 in fraction form
Answer:
3*1/2= 3/2
Step-by-step explanation:
[tex]\frac{3}{1}[/tex]*[tex]\frac{1}{2}[/tex] = 3/2
3*1/2= 3/2
3 is equal to 3/1
we then directly multiply
equation: (3/1)(1/2)
(3/1)(1/2)
3*1 = 3
1*2= 2
3/2 or 1 1/2.
How do you write in fraction form?
Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenth place, so we place 6 over 10 to create the equivalent fraction, 6/10.
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Find the equation of the line. Use exact numbers
y= ?x+ ?
Answer:
y=3x+3
Step-by-step explanation:
slope is 3 because rise over run. Rise is 3 and run is 1. 3/1 is 3. and b= y-intercept and the poiunt wehre the line intercepts the y axis is 3. so your answer is y=3x+3
Answer:
y = 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line
m = [tex]\frac{3-0}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3
the line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 3x + 3 ← equation of line
Mark bought a plasma TV for $2,499 on the installment plan. He paid a down payment of $300 and agreed to pay $101.50 a month for the next 24 months.
How much will he pay in all for the TV?
$2,499
$2,635
$2,736
$2,850
Can someone help me with this?
Answer:
add to 180, equal, add to 180, equal
Step-by-step explanation:
<1 + <2 = 180
<1 = <3
<3 + <4 = 180
<2 = <4
5. Michelle sells flowers for weddings. The
price she charges (P) can be approximated by
the equation: P = 40 + 12d , where d
represents how many dozens of flowers are
ordered. Ann paid Michelle $400 for the
flowers at her wedding. How many dozens of
flowers did Ann order?
A. 37
B. 30
C. 25
D. 22
Answer:
B. 30
Step-by-step explanation:
since Ann paid $400, you set the equation equal to 400
400=40+12d
Then you solve for d to find how many dozen of flowers Ann ordered.
400-40=12d
360=12d
360/12=d
d=30
Use the model to represent 80% as a fraction in simplest form.
0 A 9
10
O
В.
83
100
O
C.
4
5
o
D.
15
20
Answer: 45.
Step-by-step explanation:
Answer:
80% of 100 in fraction form is 4/5
Step-by-step explanation:
Use the completing the square method to transform the equation 2.2 + 2x = 13 into an equation of the form
(2 + a)? = b, where Q and bare real numbers. What are the values of Q and br?
Answer:55
Step-by-step explanation:
Caleb has shelves that hold
a total of 600 boxes. What
percent of the shelves are
Full if he has 60 boxes?
Please help no links thank you!
Answer:
10%
Step-by-step explanation:
if he has 60 boxes then it would be 60/600
simplify that to 6/60 which further simplifies to 1/10 which is 10%
Answer:
600-100%
60-10%
Odp-Wynosi 10% tep-by-step explanationu Pozdrawami
Three people invest at a ratio of 1:4:7. If the partnership is worth $636,000, what did
each person invest?
Step-by-step explanation:
212×3= 636 two hundred and twelve multiple by three equals six hundred and thirty six
Mrs. Shiroff charges $97 for materials for each bookcase she builds.
She also charges $30 for each hour she works building them. It takes
Mrs. Shiroff 90 hours to build 9 bookcases. How much will she charge?
18
The measures tanker are shown
12 inches
10 inches
8 inches
Enter the come of the coolerin cubie inches
Answer:
78
Step-by-step explanation:
Researchers wish to examine the effectiveness of a new weight-loss pill. A total of 200 obese adults are randomly assigned to one of four conditions: weight-loss pill alone, weight-loss pill with a low-fat diet, placebo pill alone, or placebo pill with a low-fat diet. The weight loss after six months of treatment is recorded in pounds for each subject. To analyze this data, you would use __________.
a. a z-test
b. a t-test
c. an ANOVA F test
d. a Chi-square test
Answer:b
Step-by-step explanation:
To analyze this data, you would use An ANOVA F test.
What is a normal distribution?An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range, while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center
The study involves comparing the weight loss of four groups of participants (weight-loss pill alone, weight-loss pill with a low-fat diet, placebo pill alone, or placebo pill with a low-fat diet) after six months of treatment. ANOVA (Analysis of Variance) is a statistical method used to analyze the differences among means of two or more groups.
In this case, ANOVA can be used to determine if there are significant differences in weight loss among the four treatment conditions.
A t-test or z-test would be appropriate if there were only two groups being compared.
A chi-square test is used to analyze categorical data, which is not applicable in this scenario where the data is continuous.
Therefore, an ANOVA F test would be used.
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x and y are two integers and x ≠ 0. Which of the following is not a rational number? a) z b) y c)x/y d) y/x
Answer: Choice A) z
==========================================================
Explanation:
x and y are two integers, with x being nonzero
This means x/y is rational as long as y is nonzero as well. If y = 0, then we have a division by zero error. Try something like 1/0 on your calculator and you'll find it doesn't work.
Similarly, y/x is rational as well. Any rational number is simply dividing two integers as a fraction like this. Other examples include stuff like 1/2, 4/5, 8/17, and so on.
Since y is an integer, this means we can write it like this: y = y/1. This shows any integer is also rational, but not the other way around. A fraction like 2/3 is rational but not an integer.
All of what was discussed above indicates that choices B, C and D can be ruled out. The only thing left is choice A. The variable z isn't defined, so it's not clear what it is exactly. But it's likely the answer as it's the only thing left after the eliminations.
PLEASE HELP! I WILL GIVE BRAINLIEST! Determine whether the statement is always, sometimes, or never true.
13. If a triangle is acute triangle, then it is an equilateral triangle.
14. If a triangle has two acute angles it must be an acute triangle. 15.An obtuse triangle can have a right angle.
Answer:
Step-by-step explanation:
13. All equilateral triangles are acute triangles. An equilateral triangle has three sides of equal length and three equal angles of 60.~ I think it is False.
14. If a triangle has two acute angles, then the third angle must also be acute.~ I think it is true.
15. A triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute. Therefore, an obtuse-angled triangle can never have a right angle; and vice versa. ~I think it is false.
Please don't trust me... I hope I helped
~LampteyJ
Consider the sequence 1, 3, 9, 27, 81, … Which statement describes the sequence? The sequence diverges. The sequence converges to 1. The sequence converges to ∞. The sequence converges to –∞.
ANSWER: A
Answer:
a
Step-by-step explanation:
just took it!
Consider the three isotopes of carbon. What do the three isotopes have in common? Choose all that apply.
A)
They have the same atomic number.
B)
They have the same number of protons.
c)
They all have four valence electrons.
D)
They have the same number of neutrons.
E)
They have the same average atomic mass number,
Answer:
a) they have the same atomic number.
c) they all have 4 valence electrons.
I NEED HELP ASAP PLEASE HELP ME
Answer:
Can't help you on an ASIT
Step-by-step explanation:
Two planes start from the same point and fly opposite directions. The first plane is flying 20 mph slower than the second plane in 2 h the planes are 540 mi apart. Find the rate of each plane
Answer:
This
Step-by-step explanation:
let x = rate of the slower plane (First plane!)
x+25 = rate of the faster plane (Second plane!)
The planes fly for 2 hours, where Distance = R*T
Distance between the planes = SUM of the distances.
R*T + R*T= 470 miles
2*x + 2*(x+25)=470
2x+2x + 50 = 470
4x+50=470
4x=420
x=105 mph First plane
x+25= 105+25=130 mph Second plane.
Answer:
4x+50=470
4x=420
x=105 mph First plane
x+25= 105+25=130 mph Second plane.
R^2
Step-by-step explanation:
The volume of the cylinder is 13,665.28 cm³ and the height is 17 cm what is the radius
Answer:
V = π²h
r = √V/πh
r = √13,665.28cm³/(3.14)(17cm)
r =√13,665.28/53.38 cm
r = √256 cm
r = 16 cm
If y varies directly as x and y = 24 when
x= 16, what is y when x = 50?
Answer:
[tex]y = 75[/tex]
Step-by-step explanation:
Given
[tex]y\ \alpha\ \ x[/tex]
[tex]y=24; x =16[/tex]
Required
Find y when [tex]x = 50[/tex]
We have:
[tex]y\ \alpha\ \ x[/tex]
Express as equation
[tex]y = kx[/tex]
Solve for k
[tex]k = \frac{y}{x}[/tex]
When [tex]y=24; x =16[/tex]
[tex]k = \frac{24}{16}[/tex]
[tex]k = \frac{3}{2}[/tex]
When [tex]x = 50[/tex], we have:
[tex]y = kx[/tex]
[tex]y = \frac{3}{2} * 50[/tex]
[tex]y = 75[/tex]
Can someone please help me i will mark u brilliant
Answer:
11
Step-by-step explanation:
The line plot shows how many people read many many books with the number of "x"s above each number. So, through this graph, we see that 0 people read 0 books, 5 people read 1 book, 3 people read 2 books, 6 people read 3 books, 3 people read 4 books, 3 people read 5 books, 2 people read 6 books, 2 people read 7 books, and 1 person read 8 books. The problem asks how many people read 4 or more books. So, we add up all the people that read 4 or more books shown on the graph, which is 4, 5, 6, 7, and 8.
3 people read 4 books, 3 people read 5 books, 2 people read 6 books, 2 people read 7 books, and 1 person read 8 books.
3 + 3 + 2 + 2 + 1 = 11. 11 students read 4+ books.
Average rate change to the nearest hundredth can be which answer ?
Answer:
0.47
Step-by-step explanation:
f(x) = (x - 2)^(1/3)
average rate of change from x = -2 to x = 4 is [f(4) - f(-2)]/[4 - (-2)]
f(-2) = (-4)^(1/3) = -1.587401
f(4) = 2^(1/3) = 1.25992
[f(4) - f(-2)]/[4 - (-2)] = [1.25992 - (-1.587401)]/[4 - (-2)] = 0.47
At football games, Stagg Boosters charges $2 for hot chocolate and $3 for Gatorade. The boosters sold
126 drinks totaling $306. How many hot chocolates did they sell?
Pleas help!
Answer:
72 hot chocolates
Step-by-step explanation:
2h + 3g=306 equation 1 h=hot chocolate g=Gatorade
h + g =126. equation 2
h=126-g isolate h in equation 2
2(126-g) + 3g =306 substitute h value of equation 2 (126-6) into h value eq 1
252-2g+3g=306
g=54
solve for h:
h + g = 126
h+54=126
h=72
check answer:
2h + 3g=306
2(72) +3(54)=306
144+162=306
306=306
which equation best represents the relationship between x and y in the graph
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line
m = [tex]\frac{3-0}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 3x + 3 ← equation of line → A
you need to put a, b, c, d in the right four spots
Answer:
A: Southeast
B: Northwest
C: Southwest
D: Northeast
Step-by-step explanation:
Answer:
B: Northwest
C: Southwest
D: Northeast A: Southeast
You went out to lunch with three friends and your subtotal was $42 not including the sales tax of 6%.
Calculate what the total bill would be with the sales tax.
Answer:
It's DEFINITELY 2.52
Step-by-step explanation:
Change 6% to a decimal, which will be .06! Times $42 Times.06 and you'll end with the answer $2.52 !!!
If a fair coin is tossed 7 times, what is the probability, to the nearest thousandth, of getting exactly 5 heads?
Answer:
0.164
Step-by-step explanation:
delta math said so but
n=7 ; r=5; p=1/2
q= 1- 1/2 = 1/2
7c5(1/2)^5 (1/2)^2 = 0.16406 which is 0.164
A recipe for pancakes requires 3/4 cup of oil. If Mr. Darcy wants to triple the recipe, how much oil will he need?
Answer:
2.25, or 2 1/4 or 9/4.
Step-by-step explanation:
3/4 times 3 = 9/4
One more question 50 points
Answer:
5 complete scarves
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Total yarn = (amount of yarn per scarf) (amount of scarfs)
(8/9) = (1/6) (amount of scarfs)
amount of scarfs = (8*6)/9 = 48/9 = 5. 33333, so the amount of complete handkerchiefs she can make is 5.