The reason why both graphs are parallel because they have the same slope but different y-intercept.
Think about it. If both graphs have same slope and same y-intercept. The graph will intercept each others infinitely.
Then if we change the y-intercept into any numbers that aren't the same as another equations for ex.
y = -5x+1 and y = -5x+10
then we will get the parallel graph. Or if you solve the equation, the equation will not be true, thus giving the graph parallel.
But if it is y = -5x+1 and y = -5x+1 which both are the same graph. Then the graph will intercept each others infinitely. Or if we solve the equation, we will get 0 = 0 which makes the equation true for all real numbers.
Therefore, the reason why both graphs are parallel is because that they have the same slope but different y-intercept.
That's all.
Answer:
c
Step-by-step explanation:
In the diagram find the mZEFG.
A)
20 degrees
B)
30 degrees
C
40 degrees
D)
80 degrees
HELPPPPP
HELP HELP HELP Please
Answer:
y = 2x², 0, 2, 8
y = 2^x, 1, 2, 4
Step-by-step explanation:
For the first equation, multiply the input by itself and then multiply by two
y = 2x²
y = 2(2)²
y = 2(2*2) = 8
For the second equation, multiply 2 by itself depending on the value of the input
y = 2^x
y = 2²
y = 2 * 2 = 4
hich of the relations given by the following sets of ordered pairs is not a function? {(5,2),(4,2),(3,2),(2,2),(1,2)} {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} {(-8,-3),(-6,-5),(-4,-2),(-2,-7),(-1,-4)} {(-6,4),(-3,-1),(0,5),(1,-1),(2,3)}
{(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} is not the function .
• In mathematics, ordered pair is a pair of numbers which are written in a specific order. They are generally written in (x,y) form. For example (3,5) is a ordered pair.
• Function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have same value of x coordinate.
Case 1 : {(5,2),(4,2),(3,2),(2,2),(1,2)}
No two ordered pair have the same value of x coordinate. So it is a function.
Case 2 : {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)}
Two ordered pair have the same value of x coordinate (3,2) and (3,5). So, it can not be considered as a function.
Case 3 : {(-8,-3),(-6,-5),(-4,-2),(-2,-7),(-1,-4)}
No two ordered pair have the same value of x coordinate. So it is a function.
Case 4 : {(-6,4),(-3,-1),(0,5),(1,-1),(2,3)}
No two ordered pair have the same value of x coordinate. So it is a function.
Therefore, {(-4,-2),(-1,-1),(3,2),(3,5),(7,10)} is not the function.
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WRITE THE EQUATION, IN THE FORM y=mx + b, that represents the line shown on the graph.
Answer:
y = 3/2x - 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Find points from graph.
y-intercept (0, -2)
Random Point (2, 1)
Step 2: Find slope m
Substitute [slope formula]: [tex]m=\frac{1+2}{2-0}[/tex]Add/Subtract: [tex]m=\frac{3}{2}[/tex]Step 3: Write equation
Substitute into General Form
y = 3/2x - 2
Which equation has a solution of (-2,1)?
A. y=-2x+1
B. y=2x-1
C. y=-2x-3
D. y=2x+3
Sergio’s job is just a few bus stops away from his house. While it can be faster to take the bus to work, it’s more variable, because of variations in traffic. He estimates that the commute time to work by bus is approximately Normally distributed with a mean of 12 minutes and a standard deviation of 4 minutes. The commute time if he walks to work is also approximately Normally distributed with a mean of 16 minutes with a standard deviation of 1 minute. What is the probability that the bus will be faster than walking?
9514 1404 393
Answer:
A. 0.8340
Step-by-step explanation:
The mean difference between walking time and bus time is the difference of their means: 16 -12 = 4 minutes.
The variance of the difference between walking time and bus time is the sum of the variances of the two distributions:
(4 min)² +(1 min)² = 17 min²
Then the probability that walking will be slower is the probability that the difference is greater than 0.
P(dif > 0) = P(Z > (0 -4)/√17) = P(Z > -0.970143)
P(dif > 0) ≈ 0.8340
The probability the bus will be faster is about 0.8340.
Use the Discriminant to find the number and type of solutions to x^2 + 6x -5 = 4x^2
A 2 Real Solutions
B 1 Real Solution
C Real Solutions, 2 Imaginary Solutions
D 3 Solution
Answer:
The equation [tex]x^2 + 6x -5 = 4x^2[/tex] have 2 non-real solution, 2 imaginary solutions.
Step-by-step explanation:
Using the Discriminant to find the number and type of solutions to [tex]x^2 + 6x -5 = 4x^2\\x^2-4x^2+6x-5=0\\-3x^2+6x-5=0[/tex]
The discriminant is: [tex]b^2-4ac[/tex]
We have a = -3, b=6 and c=-5
Putting values and finding discriminant
[tex]b^2-4ac\\=(6)^2-4(-3)(-5)\\=36-60\\=-24\\[/tex]
So, we get discriminant = -24
if discriminant < 0 the solution will have two non-real imaginary solutions.
In our case discriminant < 0 i,e discriminant = -24
So, The equation [tex]x^2 + 6x -5 = 4x^2[/tex] have 2 non-real solution, 2 imaginary solutions.
Need help with this ASAP I accidentally put the second one but just ignore that
Answer:
it's A
Step-by-step explanation:
jsushskzhsonssjksjzisnsnsjs
Answer:
A: (3/5, 0)
Step-by-step explanation:
y = 3 - 5x
-5x = y - 3
x = -y/5 + 3/5
This is very easy!!
Answer:
product
Step-by-step explanation:
hope it helps
Answer:
yesn't
Step-by-step explanation:
5 questions plzzzzzz answer!!
1. 3x+10=4
X=?
2. 3x-8=13
X=?
3. 12=8x+4
X=?
4. -1+2x=11
X=?
5. -7=-3-x
X=?
Answer:
1) -2
2) 7
3) 1
4) 6
5) 4
Which expression is equivalent to (3x−4y5)−2?
−9x8y10
x raised to the eighth power over quantity 9 times y raised to the tenth power end quantity
negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power
1 over quantity 9 times x raised to the eighth power times y raised to the tenth power end quantity
The expression which is equivalent to -9x^8 / y^10 is "negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power". option B
Exponential-9x^8 / y^10
Check all that applies:
x raised to the eighth power over quantity 9 times y raised to the tenth power end quantityx^8 / (9×y)^10
= x^8 / 9y^10
No
negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power-(9×x)^8/y^10
= -9x^8 / y^10
Yes
1 over quantity 9 times x raised to the eighth power times y raised to the tenth power end quantity1/(9×x)^8 × y^10
= 1 / (9x^8) × (y^10)
No
Therefore, the expression which is equivalent to -9x^8 / y^10 is "negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power".
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Ok bet slovea customer comes in looking for items get started painting ariana offers her a paint pallet a paint brush and a sketch book she tells the customer that if she buys all three she will give her a 15% discount approximately how much would the coustmer save? Paint pallet cost 24.00 sketch book cost: 16.12 and paint brush costs 10.50
Answer:
Approximately what will be saved will be 8.00
Step-by-step explanation:
Here, we want to know the amount that the customer will save
Firstly, we need to know the amount that all will cost
Mathematically, that will be;
24 + 16.12 + 10.5 = 50.62
The amount to be discounted is 15% of this
That will be 15% of 50.62
= 15/100 * 50.62
= 7.593
Mr. Seidel filled up his 14-gallon gas tank for $44.26. What was the price per gallon of gas - to the nearest hundredth?
Answer:
$3.616
Step-by-step explanation:
cos2x-cos 4x
lim
x-0 1-cos 2x cos 4x
After evaluating the limit we get the answer as 3/5.
Given the expression is : limₓ₋₋₎₀ cos 2x ₋ cos 4x/1-cos2xcos4x
= limₓ₋₋₎₀ cos2x - (2cos²2x ₋ 1)/1-cos2x(2cos²2x - 1)
= limₓ₋₋₎₀ -2cos² + cos2x +1/₋2cos³2x + cos2x + 1
let u =cos2x that is, u → 0
= limu₋₋₎₁ -2u²+u+1/₋2u³+u+1
= limu₋₋₎₁ 2u + 1/2u²+2u+1
= 2+1/2×1² + 2 × 1 +1
= 3/2+2+1
= 3/5
hence we get the value as 3/5.
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HELPPPP!!!
Use the diagram to answer the question
the perimeter of a jamaican flag is 90 inches. the length is twice its width. find the dimensions of the flag
Answer:
width = 15 inches
length = 30 inches
Step-by-step explanation:
Finding the dimensions of a rectangular flag:[tex]\sf \boxed{\text{\bf Perimeter of rectangle =2*length + 2*width}}[/tex]
Let width = x inches
Length = 2*x = 2x inches
Perimeter = 90 inches
2 *length + 2* width = 90
2*2x + 2*x = 90
4x + 2x = 90
Combine like terms,
6x = 90
Divide both sides by 6,
x = 90/6
x = 15
Dimensions:
Width = 15 inches
Length = 2*15 = 30 inches.
Hi will you help me I can’t figure this out?
Answer: the first option
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
-20-------------------------------------0-------------------------------------20
moving right on ANY number line increases the number value. My example above also shows you that if you move left your number value will DECREASE.
HOPE THIS HELPS <3333
-Silver
find the mean(average) of this set of data 100 400 20 40 30
Answer:
118
Step-by-step explanation:
(100 + 400 + 20 + 40 + 30)/5
= 590/5
= 118
Answer:
118
Step-by-step explanation:
100+400+20+40+30= 590
then 590/5= 118
You can rent a bird scooter in Atlanta according to the function e(x)=0.15x+1.00 to unlock the scooter and $0.15 each minute to rent.
Let e(x) represent the total cost of the rental after x minutes.
a. interpret e(3)=1.45
b. find the e(10).
c. let e(x)-5.50. x=__
d. domain___ range___
Answer:
17.23
Step-by-step explanation:
Damian has a balance of $10,200 on his credit card. He threw the card away so he can never use it again. He has 3 1/2 years to pay off the balance. The interest rate on his card is 21%. At the end of the 3 1/2 years, how much interest has he paid?
Answer:
the interest that have to paid is $9,676.91
Step-by-step explanation:
The computation of the interest to be paid is as follows:
= Future value - initial value
= $10,200 × (1 + 0.21)^3.5 - $10,200
= $19,876.91 - $10,200
= $9,676.91
Hence, the interest that have to paid is $9,676.91
We simply applied the above formula so that the correct value could come
And, the same is to be considered
I need help with this whole page (if you can’t see zoom in)
Answer:
number
2.A
3.1/1
4.A
5.up right side ididnt see
6.5 right
7.place the positive for and walk in to the left side and count eleven start to 4
Easy math problems!!!!!
Answer:
We can use the Pythagorean theorem to solve this:
The Pythagorean theorem states that the hypotenuse of a triangle (the longest side), squared is equal to the sum of the other 2 sides of the triangle, squared. It can be expressed as so:
c^2=a^2+b^2 where c represents the hypotenuse; a and b represent the other 2 sides.
Now that we have an equation we can solve:
c^2=8^2+8^2
c^2=64+64
c^2=128
Since there is no perfect square for 128 we need to put in in simplest radical form
c=√128
Find a number that has a perfect square and multiplies by another number to equal 128
c=√64 x 2
This can be rewritten as so:
c=√64√2
Now for the last step find another perfect square for 64 and have it outside the square like so:
c=8√2
There is no perfect square for 8 so this is in simplest radical form
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
[20+(2.5x3)]-27 please help lol
Answer:
0.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
[20 + (2.5 × 3)] - 27
Step 2: Evaluate
[Brackets - Parenthesis] Multiply: [20 + 7.5] - 27[Brackets] Add: 27.5 - 27Subtract: 0.5A seal went 15 below sea level to catch a fish. A sea lion dove 6 feet less than two times as deep as the seal to catch a larger fish. What expression represents the sea lion's position in relation to sea level?
Answer:
[tex]2\times 15-6 = 24\ below\ sea\ level[/tex]
Step-by-step explanation:
Given that:
Distance traveled by seal to catch the fish = 15 below sea level
Sea lion wanted to catch a larger fish so sea lion dove 6 feet lesser than two time the distance that the seal traveled.
To find:
The expression to represent the position of the sea lion in the sea.
Solution:
If the distance traveled by seal is represented by [tex]D[/tex] then as per the question statement:
Twice of [tex]D[/tex] = [tex]2\times D[/tex]
6 lesser than twice of [tex]D[/tex] = [tex]2\times D[/tex] - 6
Now, putting the value of [tex]D[/tex] = 15
Therefore, the expression to represent the sea lion's position w.r.to sea level.
[tex]2\times 15-6\\ = 24\ below\ sea\ level[/tex]
Three of the following representations match while one does not. Which one is incorrect? How could the student correct it? DESCRIPTION EQUATION At Sherri's Sundae Shop, customers pay $4 for a bowl of ice cream plus $0.20 per topping. y = .25x + 4 SHERRI'S SUNDAE SHOP TOPPINGS TOTAL COST (S) 1425 2 $4.50 TOTAL COST (S) 3 $4.75 4 $5.00 5 15.25 $5.50 TOPPINGS TABLE GRAPH
Answer:
Description
Step-by-step explanation:
.20(8)+4=5.6
on the graph the point is (8,6)
.25(8)+4=6
(pre-calc) Use Limit Laws to determine the limit of a(n). It is not -∞, so what answer is it and why?
The limit of the function as the variable n tends to minus infinity is -1. Option C is correct
Limit of a functionGiven the limit of a function expressed according to the equation;
a(n) = 6n²-n-3n³/3n³+n-1
The value of the function if n tends to minus infinity is expressed as show:
a(n) = 6n²-n-3n³/3n³+n-1
Divide both all the terms by n³
a(n) = 6n²/n³-n/n³-3n³/n³/3n³/n³+n/n³-1/n³
a(n) = 6/n-1/n²-3/(3+1/n²-1/n³)
a(n) = 6/-∞ - 1/(-∞)²-3/(3+1/(-∞)²-1/(-∞)³)
a(n) = -3/3
a(n) = -1
Hence the limit of the function as the variable n tends to minus infinity is -1
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What is the answer to the question?
Answer:
360g plain flour
3 eggs
900ml milk
Step-by-step explanation:
To make 4 pancakes you would do 240g÷2=120g
2 eggs÷2=1
600ml÷2=300ml
all this makes a total of 4 pancakes.
to make 12 pancakes you do 4×3 soo..
120g×3=360g
1×3=3
300ml×3=900ml
.William sold half of his comic book collection and then purchased 10 more . He now has 24 comic books period how many books did William begin with?
Answer:
28 books
Step-by-step explanation:
Let x represent the number of books .William owned before anything happens
x/2 + 10 = 24
2(x/2 + 10) = 2(24)
x + 20 = 48
x = 48 - 20
x = 28
Answer:
28
Step-by-step explanation
subtract 10 by 24.multiply 14 by 2 and there's your answer hope this helps
A student answered 86 problems on a test correctly and receives a grade at 98% how many problems were only test if all the problems were worth the same number of points( round to the nearest whole number)
Answer:
88 questions
Step-by-step explanation:
86/0.98 = 87.755
pls mark brainliest :D
I’m not sure if this is correct or not !!!!!!!!!! Please HELP !!!!!! I will mark Brianliest !!!!!!
Answer:
CORRECT!!!!!!!!!
Step-by-step explanation:
Answer:
Your right!
(づ￣ 3￣)づ
I hope this helps! (❤´艸｀❤)