Answer:
Translations
y = f (x) + k up k units
y = f (x) - k down k units
y = f (x + h) left h units
y = f (x - h) right h units
Stretches/Shrinks
y = m·f (x) stretch vertically by a factor of m
y = ·f (x) shrink vertically by a factor of m (stretch by
y = f (x) stretch horizonally by a factor of n
y = f (nx) shrink horizontally by a factor of n (stretch by )
Reflections
y = - f (x) reflect over x-axis (over line y = 0)
y = f (- x) reflect over y-axis (over line x = 0)
x = f (y) reflect over line y = x
Hope this helps
Step-by-step explanation:
Which line is parallel to y=2/3x+1 and passes through the point (1, 1)? a) y=2/3(x-1) b) y-1=-3/2(x-1) c) y-1=2/3(x-1) d) y=-3/2x-1
Answer:
The answer is option CStep-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
Equation of original line is y = ⅔x + 1
Comparing with the general equation above
Slope = 2/3
Since the lines are parallel their slope are also the same
Slope of parallel line = 2/3
So the equation of the line using point
( 1,1) and slope 2/3 is
[tex]y - 1 = \frac{2}{3} (x - 1)[/tex]Hope this helps you
Answer:
C
Step-by-step explanation:
Which of the following measurements is a little more than 3 feet?
None of the measurements on the list you provided is more than 3 feet.
If 1 gallon of paint covers 300 square feet, how many gallons
are needed for a room 30' long x 20' wide x 12' high?
To cover the room of given dimensions 4 gallons of paint is needed.
What is an Area?The area of a two-dimensional figure is defined as the amount of space covered by the shape in a two-dimensional plane.
Given that 1 gallon of paint covers 300 square feet, there is a room of dimensions 30' long x 20' wide x 12' high
Surface area of room = 2(l+b)*h
= 2(30+20)*12
= 1200 in²
1 gallon for 300 in², therefore 1200/300 =4 gallons for 1200 in²
Hence, To cover the room of given dimensions 4 gallons of paint is needed.
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Help ASAP!!!!!!!!!!!!!!!!!!!!
Choose a number line to model the following situation. After walking 5 steps forward, Julie walked 5 steps backward.
Answer:
B
Step-by-step explanation:
She walked 5 steps foward and stoped. Then turned around and walk back the same distance. So she walked the same place twice once to get their and once to get back to the starting pouint.
please helppp The correct equation is S=2r+7 verify this equation matches your table for r=1 r=2 and r=3
Answer:
Step-by-step explanation:
Part (A).
Row Number of seats
1 9
2 11
3 13
4 15
5 17
6 19
7 21
(B). Jonathan models the equation for the pattern of number of seats as,
S = 7r + 2
Where S = number of seats in every row 'r'
For r = 1,
S = 7(1) + 2 = 9
Models for row 1.
For r = 2,
S = 7(2) + 2 = 16
Not correct.
For r = 3,
S = 7(3) + 2 = 23
Not correct.
Therefore, this equation doesn't work for the rows above the first row.
(C). Correct equation is,
S = 2r +7
For r = 1,
S = 9
For r = 2,
S = 4 + 7 = 11
For r = 3,
S = 6 + 7 = 13
Therefore, this equation works for all the rows.
(D). Number of seats in 15th row = 2(15) + 7 = 37 (For r = 15)
(E). 91 = 2r + 7
2r = 91 - 7
2r = 84
r = 42
Therefore, in 42nd row number of seats = 91
Nancy decides to roll a dice three times. What is the probability that she will roll all even numbers?
Given:
Nancy decides to roll a dice three times.
To find:
The probability that she will roll all even numbers.
Solution:
If a dice is rolled, then the possible numbers are
Total number = {1,2,3,4,5,6} = 6
Even numbers = {2,4,6} = 3
Odd numbers = {1,3,5} = 3
Probability of getting an even number [tex]=\dfrac{\text{Even number}}{\text{Total numbers}}[/tex]
[tex]P(\text{Even})=\dfrac{3}{6}[/tex]
[tex]P(\text{Even})=\dfrac{1}{2}[/tex]
So, probability of getting all even numbers is
[tex]P(\text{All even})=P(\text{Even})\times P(\text{Even})\times P(\text{Even})[/tex]
[tex]P(\text{All even})=\dfrac{1}{2}\times \dfrac{1}{2}\times \dfrac{1}{2}[/tex]
[tex]P(\text{All even})=\dfrac{1}{8}[/tex]
Therefore, the required probability is [tex]P(\text{All even})=\dfrac{1}{8}[/tex].
The probability that Nancy will roll all even numbers will be:
"[tex]\frac{1}{8}[/tex]".
ProbabilityAccording to the question,
Number of times dice rolled = 3
Total numbers = {1, 2, 3, 4, 5, 6}
= 3
Even numbers = {2, 4, 6}
= 3
Odd numbers = {1, 3, 5}
= 3
Now,
The probability of getting even numbers will be:
= [tex]\frac{Even \ numbers}{Total \ numbers}[/tex]
= [tex]\frac{3}{6}[/tex]
= [tex]\frac{1}{2}[/tex]
hence,
The required probability be:
= P(Even) × P(Even) × P(Even)
= [tex]\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}[/tex]
= [tex]\frac{1}{8}[/tex]
Thus the above answer is correct.
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What degree is the polynomial function shown on the graph? A) third B) fourth C) fifth D) sixth
Answer:
Step-by-step explanation:
Zander and Chloe were comparing the number of texts they send. Zander has already sent 38 texts and says he sends 28 texts per day. Chloe has sent 52 texts already and says she send 26 texts a day. After __ days, Zander and Chloe will have sent the same amount of texts. A. 5 days B. 6 days C. 7 days D. 9 days
Answer:
(C) 7
Step-by-step explanation:
We can create an equation here.
We know that Zander has 38 texts. He sends 28 texts per day.
Let us represent x as the number of days.
This can be represented as an expression, [tex]38+28x[/tex].
Same logic for Chloe.
52 texts already, 26 texts per day: [tex]52+26x[/tex]
If their texts are equal, both expression are equivalent to each other.
[tex]38+28x = 52+26x[/tex]
We can simplify this equation to get x on one side of it.
Subtract 38 from both sides:
[tex]28x = 14+26x[/tex]
Subtract 26x from both sides:
[tex]2x =14[/tex]
Divide both sides by 2:
[tex]x = 7[/tex]
So, Chloe and Zander will have sent the same amount of texts after 7 days.
Hope this helped!
The sum of three consecutive integers is -216. List the numbers from smallest to largest:
Check Answer
Answer:
Step-by-step explanation:
One
Answer:
-73,-74 and -75
Step-by-step explanation:
1st No=x
2nd No=x+1
3rd No=x+2
x+(x+1)+(x+2)=-216
x+x+x+2+1=-216
3x+3=-216
3x=-216-3
3x=-219 (÷ b.s by 3)
x=-73
1st No=-73
2nd No=-73+1
3rd No=-73+2
Given that every fifteenth person in line will get a coupon for a free box of popcorn at the movies, what is the probability that you don’t get a coupon when you’re in line? Enter a fraction or round your answer to 4 decimal places, if necessary.
Answer:
We know that every 15th person gets a free box of popcorn.
This depends on order, but nobody knows what is his actual position, so we can assume that:
of 15 people, 1 will get a free box of popcorn.
Then the probability of getting free popcorn is:
1/15
And the negation, (the probability of not getting a free box) is:
1 - 1/15 = 14/15 = 0.93...
The probability of not getting a free box is, [tex]\frac{14}{15}[/tex]
Probability :Given that, from 15 people, 1 will get a free box of popcorn.
Then the probability of getting free popcorn is:
[tex]P(E)=\frac{1}{15}[/tex]
the probability of not getting a free box is,
[tex]P=1-P(E)\\\\P=1-\frac{1}{15}=\frac{14}{15}[/tex]
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Given f(x) = 3x + 4. Find F-1(7)
Please help I’ll give you brainiest answer 100points!!!!!
Answer:
f⁻¹(7) = 1
Step-by-step explanation:
Step 1: Write out function
f(x) = 3x + 4
Step 2: Find f⁻¹(x) (or known as inverse f(x))
y = 3x + 4
x = 3y + 4
-3y + x = 4
-3y = 4 - x
y = -4/3 + x/3
Step 3: Plug in 7 into inverse f(x)
f⁻¹(7) = 7/3 - 4/3
f⁻¹(7) = 3/3
f⁻¹(7) = 1
Answer: Guy above me is right
Step-by-step explanation:
x +2y = 5
5x -y = 3
I need help with my homework please anyone
Answer:
Step-by-step explanation:
Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.40. After one month, Paul bought 21 passes and spent a total of $38.40. How much did he spend on the student discount card? Paul spent $ on the student discount card.
1.40 x 21 passes = 29.40 for passes.
38.40 - 29.40 = 9.00
He spent $9.00 on the card
How do you solve this?
Answer:
1
Step-by-step explanation:
I would think (I'm not sure, but it's an idea)
[tex]\frac{x^{2} +2}{x^{2} -1} =\frac{x^{2} -1+1+2}{x^{2} -1}\\\\=\frac{(x^{2}-1) +3}{x^{2} -1}=\frac{x^{2} -1}{x^{2}-1}+\frac{3}{x^{2} -1}\\\\=1+\frac{3}{x^{2} -1}[/tex]
so when x becomes bigger and bigger
the
[tex]\frac{3}{x^{2} -1}[/tex]
will become smaller and smaller
to a point that it's practically 0
so the limit is 1
y-3x=13 for y. Can someone plz help i don’t know what this is and please explain the steps well
Answer:
3x-y=-13
Step-by-step explanation:
y-3x=13
Use the commutative property to reorder the terms
-3x+y=13
Change the signs on both sides of the equation
3x-y=-13
Torque (or moment) is the measure of turning force or twist on an object. If a mechanic is applying 12 Newton centimeters of torque on a bolt how many pound inches would this be?
Answer:
1.0638
Step-by-step explanation:
Given the question:
If a mechanic is applying 12 Newton centimeters of torque on a bolt how many pound inches would this be?
Torque = 12 Newton centimeter
Torque which is the turning effect on an object :
1 Newton = 0.225 pound force
1 centimeter = 0.394 inch
Hence ;
1 Newton centimeter = (1 × 0.225 × 0.394) = 0.08865 pound inch
12 Newton centimeter is hence, equals :
(12 × 0.225 × 0.394) pound inch
= 1.0638 pound inch
If 40% of a number is 32, find 10% of that number.
Answer:
8
Step-by-step explanation:
Can anyone help me with my algebra work for #14 and #15?
A claim is made that expression 1 and expression 2 are equivalent. A student is asked to provide proof that the claim is true.
Expression 1: −3(2x−6y)−2x
Expression 2: 18y−8x
Which of the following options could the student use to provide proof that the two expressions are equivalent? Select TWO that apply.
A
They could multiply expression 2, (18y−8x) by −3 and then compare their result to expression 1.
B
For expression 1, they could multiply (2x−6y) by −3 and then subtract 2x from −6x to combine terms. They then can compare their result to expression 2.
C
For expression 1, they could multiply (2x) by −3 and then subtract 2x from −6x to combine terms. They then can compare their result to expression 2.
D
They could substitute in the values x=1 and y=2 into both expressions, solve the expressions, and determine if both expressions result in the same value.
E
They could substitute in the values x=1 and y=1 into expression 1 and x=2 and y=2 into expression 2. Then, they could solve both expressions and determine if both expressions result in the same value.
Answer:
The answer is B
Answer:
The answer is B and A
Step-by-step explanation:
What is ZT?
4x + 1
W
Х
2x
T
Z
Y
5x - 6
A 7
B. 14
C. 28
D. 29
Answer:
2x+14=12
Step-by-step explanation:
when you look the figure you can see the 2 arrows on the side which means they are constant and so you go on the xY and do 5x-6+4x+1 and solve
The value of the variable x is 7. Then the length of the line segment ZT will be 7 units.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
The parallelogram WXYZ is shown.
We know that the opposite sides of a parallelogram are congruent to each other. Then we have
YZ = WX
5x - 6 = 4x + 1
5x - 4x = 1 + 6
x = 7
Then the length of the ZT will be
ZT = 2x / 2
ZT = x
ZT = 7
The value of the variable x is 7. Then the length of the line segment ZT will be 7 units.
More about the parallelogram link is given below.
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When people clear land to build a house or to plant corn and other crops, they are primarily modifying the __________. A. atmosphere B. hemisphere C. hydrosphere D. lithosphere
Answer:
d lithosphere
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
i just took the test
ax + b = c for x. is what I want to know
Answer:
[tex]x=\frac{c-b}{a}[/tex]
Step-by-step explanation:
[tex]ax+b=c\\\\ax+b-b=c-b\\\\ax=c-b\\\\\frac{1}{a}(ax)=\frac{1}{a}(c-b) \\\\x=\frac{c-b}{a}[/tex]
Convert 50 grains to milligrams
Answer:
3239.95
Step-by-step explanation:
Find the value of x.
Answer:
x + 43 = 180
x = 180 -43 = 137
Step-by-step explanation:
How do you do both questions?
1. We have all the information we need here to set up our 'least-squares regression equation.'
Given: r = 0.68, x = 260, y = 70, s₁ = 33, s₂ = 6, remember that the general equation for our least-squares line is in the form y = a + bx. The slope of the regression equation is the linear correlation coefficient multiplied by the standard deviation for x:
b = r(s₂ / s₁) = 0.68(6 / 33) = 0.12363...
Remember that the constant of the regression equation is the mean of y decreased by the product of the slope and the mean of x:
a = y - bx = 70 - 0.12363(260) = 37.8562
The equation of the least-squares regression line would then be y = 37.8562 + 0.12363x. We know that the Jane's previous score was 279, so if we plug that into our equation as 'x' we will receive Jane's final score. The set up will be y = 37.8562 + 0.12363(279) = 72.34897. Your solution for the first part is absolutely correct!
2. Actually the values of 'y' could have been much larger. r^2 = 0.4624, thus the proportion of y explained by x is only about 46%. It would negatively affect her final course grade.
Given 4 c + 5 not-equals 0 and c is a real number, what is the multiplicative inverse of 4 c + 5 not-equals 0
Answer:
1 / 4c+5
Step-by-step explanation:
Given :
4c + 5 ≠ 0
c is a real number.
Find the multiplicative inverse of equation ?
The multiplicative inverse of a number is reciprocal of number
Let
x = a number
The multiplicative inverse = 1/x
Let 4c + 5 ≠ 0 be a number x
Then, the multiplicative inverse of x = 1/x
x = 4c + 5
1/x = 1 / 4c+5
Therefore, the multiplicative inverse of 4c + 5 = 1 / 4c+5
Answer:
yes what he said
Step-by-step explanation:
on edge
Researchers measured the average blood alcohol concentration C(t) of eight men starting one hour after consumption of 30 mL of ethanol (corresponding to two alcoholic drinks). (Round your answers to two decimal places.) t (hours) 1.0 1.5 2.0 2.5 3.0 C(t) (mg/mL) 0.35 0.26 0.2 0.14 0.09 (a) Find the average change of C with respect to t over each time interval. (i) [1.0, 2.0] (ii) [1.5, 2.0] (iii) [2.0, 2.5] (iv) [2.0, 3.0]
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data below:
Time, t (hours)__1.0__1.5__2.0__2.5__3.0
C(t) (mg/mL)__0.35_0.26_0.20_0.14_0.09
Average change of C with respect to t over the interval :
(i) [1.0, 2.0] (ii) [1.5, 2.0] (iii) [2.0, 2.5] (iv) [2.0, 3.0]
Average change = ( change in C / change in t) = C2 - C1 / t2 - t1
1) [1.0, 2.0]
C at t = 1 = 0.35 ; C at t = 2 = 0.20
(0.20 - 0.35) / (2 - 1) = - 0.15 / 1 = - 0.15 mg/mL hr
11) [1.5, 2.0]
(0.20 - 0.26) / (2.0 - 1.5) = - 0.06 / 0.5 = - 0.12 mg/mL hr
111) [2.0, 2.5]
(0.14 - 0.20) / (2.5 - 2.0) = - 0.06 / 0.5 = - 0.12mg/mL hr
iv) [2.0, 3.0]
(0.09 - 0.20) / (3.0 - 2.0) = - 0.11 / 1.0 = - 0.11 mg/mL hr
what is the area of a small triangle.
Answer:
u can figure it out by using the formula 1/2 the base x height
Step-by-step explanation:
Answer:
to find the area of a triangle you will do A(area)=h(height)times b(base) over 2
Leah is 2 less than 3 times Rachel's Age. 3 years from now, Leah will be 7 more than twice Rachel's Age. How old will Rachel be in 3 years from now?
Answer:
I THINK rachel will be 12
Step-by-step explanation: