Answer:
[tex]3x + y = 3 \\ 3 = x - y \\ 3 = x[/tex]
Answer:
y = -3x - 4
Step-by-step explanation:
Pre-SolvingWe are given the equation 3x + y = 3, and we want to find an equation of the line that is parallel to 3x + y = 3.
This same line also passes through the point (1, -7).
Parallel lines have the same slopes. This means that we'll first need to find the slope of 3x + y = 3.
The equation is written in standard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0. a is usually non-negative as well.
There is a shortcut into finding the slope when the equation is in standard form; the slope of the line is -a/b, where a is the coefficient in front of x and b is the coefficient in front of y).
The coefficient in front of x is 3, and 1 in front of y.
SolvingSubstitute 3 as a, and 1 as b in -a/b. Don't forget about the - in front of a!
-3/1 = -3
This means the slope of the line is -3.
It is also the slope of the line parallel to it.
We can write the equation of the line we are trying to solve for in standard form, too. However, we could also write it in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept.
As we are already given the slope, we can immediately plug that into the formula.
Replace m with -3.
y = -3x + b
Now we need to find b.
As the equation passes through the point (1, -7), we can use its values to help solve for b.
Substitute 1 as x and -7 as y.
-7 = -3(1) + b
Multiply.
-7 = -3 + b
Add -3 to both sides
-4 = b
Substitute -4 as b into the equation
y = -3x - 4
Identify the slope and y intercept
Step-by-step explanation:
the y-intercept (b) is the easiest :
it is the y-value, when x = 0 : -3
the slope (m) is the ratio (y coordinate difference / x coordinate difference) when going from 1 point to another.
so, we need to identify 2 points in the line.
one we have already with b : (0, -3)
another is the x-axis intercept, which is clearly (4, 0)
the difference is not important, but we need to use the same for both (x and y).
I prefer to go from left to right, so from (0, -3) to (4, 0) :
x changes by +4 (from 0 to 4)
y changes by +3 (from -3 to 0)
the slope is +3/+4 = 3/4
Here are six numbers
-4, -2, -1, 5, 6, 8
Arrange the numbers into two pairs with the same total
Answer: (8,-4), (6,-2), (5,-1)
Complete the table of values representing the linear equation 5x - 4y = -8.
Enter your answers as integers or decimals in the spaces provided.
X
-6
0
y
-3
0
Substitution method - the points are (-6, -11/2),(-4,-3), (-8/5,0), (0,2) and (4,7)
what is the substitution method?
To solve many simultaneous linear equations, use the substitution method in algebra. The value of a variable from one equation is substituted in the second equation in this procedure, as the name implies.
we are given the equation,
5x - 4y = -8
case I
when x = -6
5(-6) - 4y = -8
-30 - 4y = -8
-4y = -8 + 30
-4y = 22
y = -(22/4)
y = -11/2
(x,y) = (-6, -11/2)
case II
when y = -3
5x - 4(-3) = -8
5x + 12 = -8
5x = -8 -12
5x = -20
x = -20/5
x = -4
(x,y) = (-4,-3)
case III
when y = 0
5x - 4y = -8
5x - 4(0) = -8
5x = -8
x = -8/5
(x,y) = (-8/5,0)
case III
when x = 0
5(0) - 4y = -8
0 - 4y = - 8
y= 8/4
y = 2
(x,y) = (0,2)
case IV
when x = 4
5(4) - 4y = -8
20 - 4y = -8
-4y = -8-20
-4y = -28
y = 28/4
y = 7
(x,y) = (4,7)
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Find the value of “B,” that will make a perfect square trinomial. x² + Bx + 1.
*
Type the answer for B as a whole number.
Using algebraic identities, we found that for B=2 and B= -2 , the trinomial x² + Bx +1 makes a perfect square.
What are algebraic identities?Algebraic identities are the identities which aids in solving products or powers of algebraic expressions. Most common identities are :
(a+ b)² = a² + 2ab + b²
(a- b)² = a² - 2ab + b²
a² -b² = (a+ b) (a- b), where a and b can be variable or constants or algebraic expressions.
Let the perfect square of the trinomial be (x +a)²
x² + Bx +1 = (x+ a)² = x² + 2xa + a² (using identity (a+ b)² = a² + 2ab + b²)
⇒ x² + Bx +1 = x² + 2xa + a²
⇒ Bx = 2xa , a² =1
⇒B = 2a , a =± 1
if a =1 ⇒ B = 2
If a = -1 , B = -2
For B = 2 , x² + Bx +1 = x² + 2(1)x +1² = (x+1)² ( ∵(a+ b)² = a² + 2ab + b²)
For B = -2 , x² + Bx +1 = x² -2x + (-1)² = x² -2x +1 = ( x-1)² (∵(a- b)² = a² -2ab
+ b²)
Thus, the given trinomial x² + Bx +1 is perfect square when B =2 or -2
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What is -0.25 as a fraction in its simplest form
Answer:
-1/4
Explanation:
To write the decimal -0.25 as a fraction we need to multiply and divide by 100 as follows:
[tex]-0.25\times\frac{100}{100}=\frac{-0.25\times100}{100}=\frac{-25}{100}[/tex]We multiply by 100 because there are 2 digits after the decimal point.
Then, we need to simplify the fraction, so we can divide the numerator and the denominator by 25 as:
[tex]\frac{-25}{100}=\frac{-25\div25}{100\div25}=-\frac{1}{4}[/tex]So, the fraction in its simplest form is -1/4
according to a government study among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $1,875. assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $640. (round your z-score computation to 2 decimal places and final answers to 2 decimal places.) a. what percent of the adults spend more than $2,775 per year on reading and entertainment?
According to a government study among adults the percent of the adults spend more than $2,775 per year on reading and entertainment is
7.98%How to determine if the probability that the elevator is overloadedGiven data form the question
the mean amount spent per year on reading and entertainment is $1,875
standard deviation of $640
what percent of the adults spend more than $2,775 per year on reading and entertainment
Definition of variables
mean sample, μ = $1,875
standard deviation, σ = $640
measure X = $2,775
For normal distribution, the z-score of a measure X with mean μ and standard deviation σ is given by as follows:
Z = ( X - μ ) / σ
Z = (2775 - 1875) / 640
Z = 1.40625 gives p-value of 0.0798250014
This is equivalents to 7.98%
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please somebody help me I really need help with this
Answer:
54.4 %
Explanation:
The percent change in net sales can be calculated as:
[tex]\text{ \% Change = }\frac{\text{ Final number - Initial number}}{\text{ Initial number}}\times100[/tex]Where the final number is the net sales in quarter 2 and the initial number is the net sales in quarter 1. Replacing the values by 170 and 110, we get:
[tex]\text{ \% Change = }\frac{170-110}{110}\times100=\frac{60}{110}\times100=54.5\text{ \%}[/tex]Therefore, the answer is:
percent change = 54.5 %
What is the percentage change from 5 to 2?
Answer:
the percentage change is a 60% change.
Step-by-step explanation:
A change from 5 to 2 represents a negative change (decrease) of -60%
Use the formula found below on this webpage to find the percent change by replacing the given values:
Percent change = New - Old
|Old|
× 100%
Percent change = 2 - 5
|5|
× 100% =
-3
5
× 100 = -60% (decrease)
Where: 5 is the old value and 2 is the new value. In this case we have a negative change (decrease) of -60 percent because the new value is smaller than the old value.
Look at the distance vs. elevation graph. Describe the relationship between distance and elevation. Does the relationship support the continental drift theory? Provide at least one piece of support for your answer by referencing your graph
The relationship has no relation to continental drift theory, as it is a relation between distance and time, not distance and elevation.
What is continental drift theory?The continental drift theory states that the world's tectonic plates are in constant motion over time.
This is supported by the fact that some millions of years ago, there was only one continent, named Pangea, and now we have the continents as we know. These continents are also moving a small amount a year.
In this problem, the elevation decreases and the distance increases, however, the continental drift theory should have the distance increasing or decreasing over time, hence the graph relationship has no relation to the continental drift theory.
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A plane flies 1.7 hours at 140 mph on a bearing of 10 degrees. It then turns and flies 9.6 hours at the same speed on a bearing of 100 degrees. How far is the plane from its starting point?
The starting point is 1,365 miles .
Given :
→ initial time of plane = 1.7 hours
→ initial speed = 140 mph
→ final time of plane = 9.6 hours
→ final speed = same = 140 mph
The initial displacement of the plane is :
distance = speed × time
= 1.7 × 140
= 238 miles
The final displacement of the plane is :
distance = 9.6 × 140
= 1,344 miles
The angles between initial and final displacement is :
100° - 10 ° = 90 °
The distance of the plane from its starting point is calculated as follows
d = [tex]\sqrt{238^{2}+ 1344^{2} }[/tex]
d = [tex]\sqrt{56644 + 1806336}[/tex]
= [tex]\sqrt{1862980}[/tex]
= 1364.9 miles ≈ 1,365 miles
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A recipe calls for 4 apples to serve 6 people. If Jack is planning to serve a crowd of 33 people, how many apples should he use?
Answer:
22 apples
Step-by-step explanation:
33/6=5.5*4=22
Pls give brainliest
Answer:
I believe the answer would be 22 apples
help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Answer: 9 square inches
Step-by-step explanation:
Wukong and Nice are playing a soccer match and the probabilities of them scoring are 7/8 and 5/6 respectively. What is the probability that at least one of them will score a goal if they each play the ball once?
Answer:
Step-by-step explanation:
2038
Alayna is hanging a picture frame in the center of a wall that is 8 feet wide. If the picture frame is 21 1 over 4
inches wide, how far will each side of the picture frame be from the edge of the wall (in inches)? First, estimate the amount and then find the exact measurement. In two or more complete sentences, explain how you solved the problem. You may include a diagram in your explanation if you wish.
8 feet is known to equal 96 inches.
48 inches are divided in half,
and because the image is hung in the middle of the wall,
the subject of the image is that,
11 inches on each side, as well.
This is,
37 inches of wall on each side of 48-11.
How do you figure out a rectangle's area?A rectangle is a closed figure with four equal and opposite sides. Consequently, the length, which is also known as the height, and the width of a rectangle can be used to define it (sometimes called breadth).
The formula for a rectangle's surface area is as follows:
A=lxw
A=l×w
where:
A is the surface area of the rectangle;
L specifies the length of the rectangle.
Usually, it refers to the longest side of the rectangle.
W is the rectangle's width which is rectangle's shortest side.
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What is the answer to -6x - 11 = 19
And how to solve it?
-6x-11=19/+11 <=>
<=> -6x=30/:(-6) <=>
<=> x=-5
the average age of vehicles registered in the united states is 96 months. assume the population is normally distributed with a standard deviation of 15 months. find the probability that the mean age of a sample of 36 vehicles is between 98 and 100 months?
The probability that the mean age of a sample of 36 vehicles is between 98 and 100 months is 15.71%.
What exactly is the z-score?The Z-score indicates the measure's deviation from the mean.We analyze the z-score table after deciding the Z-score to ascertain the p-value associated with this z-score.This p-value symbolizes the likelihood that the value of the measure is less than X, or even the percentile of X.For the given question;
The data for the vehicles registered in the united states is given as-
mean μ = 196 monthsstandard deviation σ = 15 monthssample mean x = 98 and 100 monthsSample size n = 36 vehicles.The formula for the z score is-
z = (x - μ)/(σ/√n)
Put the values.
√n = √36 = 6
For x = 98 months
z = (98 - 96)/(15/6)
z = 0.8
p(z < 0.8) = 0.7881
For x = 100 months
z = (100 - 96)/(15/6)
z = 1.6
p(z < 1.6) = 0.9452
P(0.8<x<1.6) = 0.9452 - 0.7881
P(0.8<x<1.6) = 0.1571
Thus, the probability that the mean age of a sample of 36 vehicles is between 98 and 100 months is 15.71%.
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300 divided by 2(0.5 +4.5)^2
Answer: 6
Step-by-step explanation:
1. add (0.5 + 4.5) which equals 5, so now you have 2 x 5^2.
2. evaluate the power (5^2) which equals 25 and you end up with 2 x 25 which equals 50.
3. now you have 300 divided by 50.
300 divided by 50 is 6.
The value of the expression 300 divided by 2(0.5 +4.5)²is 6
What is Simplification ?Simplification is reducing the expression/fraction/problem to a simpler form. It makes the problem easy with calculations and solving.
Given an expression, 300 divided by 2(0.5 +4.5)²
300/2(0.5 +4.5)²
= 300/2x5²
= 300/2x25
= 300/50
= 6
Hence, The value of the expression 300 divided by 2(0.5 +4.5)²is 6
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Will give brainly pls help asap
Answer: [tex]\frac{\sqrt{x}^3 }{3}[/tex]
Step-by-step explanation:
Step 1: Insert f(x) in for the x in g(x). This will give you [tex]\sqrt{x^3}[/tex]
Step 2: Insert [tex]\sqrt{x^3}[/tex] into the x in h(x) giving you [tex]\frac{\sqrt{x}^3 }{3}[/tex]
please help!!!! will mark brainliest if correct!!!
The monomial in standard form is 6x¹¹y¹⁸.
The given expression is
[tex](-3xy^{2})^{3} .(-\frac{2}{3}x^{2} y^{3} )^{4}[/tex]
We to write the expression as a monomial in standard form
Monomial is an expression having a single term. It can be represented as kxⁿ, where k is any integer often known as the coefficient, x represents the variable/s in the given expression and n denotes the power.
In the expression
[tex](-3xy^{2})^{3} .(-\frac{2}{3}x^{2} y^{3} )^{4}[/tex]
we first need to multiply the powers
using the formula
(mn)ˣ = mˣnˣ
[tex](-3xy^{2})^{3} .(-\frac{2}{3}x^{2} y^{3} )^{4}\\(-3x^3y^{2.3}) .(-\frac{2}{3}x^{2.4} y^{3.4} )\\(-3x^3y^{6}) .(-\frac{2}{3}x^{8} y^{12} )\\[/tex]
Now, we need to multiply both the terms
The following formula is used
xᵃ . xᵇ = xᵃ+ᵇ
[tex](-3x^3y^{6}) .(-\frac{2}{3}x^{8} y^{12} )\\\\-3(-\frac{2}{3})x^{3+8} y^{6+12} \\\\6x^{11}y^{18}[/tex]
Therefore the monomial in standard form is 6x¹¹y¹⁸.
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Jordan is mixing water and flour to make tortillas. The number of cups of water, w, needed for f cups of flour is described by the equation w=0.75f . What does 0.75 tell us in this situation?
If the number of cups of water w, needed for f cups of flour is described by the equation w = 0.75f, 0.75 represents the number of cups of water needed for one cup of flour
The equation is
w = 0.75f
Where w is the number of cups waters needed for f cups of flour.
Here w is is dependent variable and f is the independent variable
We can see that w is proportional to the f, the 0.75 is the constant.
w = 0.75f
Move the f to left hand side of the equation
w/f = 0.75
Hence, If the number of cups of water w, needed for f cups of flour is described by the equation w = 0.75f, 0.75 represents the number of cups of water needed for one cup of flour
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Gino has a debit card. The account pays no interest. He keeps track of his purchases and deposits in this debit card register. Find the missing entries a through f.
SARL
778.19
8/4 Baseball Bat
42.19
8/5 Gas
8/7 Deposit
8/7 Gas
8/7
Dinner at Spooner's
On the Beach
8/11 Books for Fall Semester
a. 92.19
b. 51.00
C. $400.00
d. 25.00
e. 71.12
f. 491.51
**
**
92 19
ST 00
25 00
71 12
491 ST
400 00
a.
b.
C.
d.
e.
The missing entries are (a) $686, (b) $635, (c) $1035, (d) $1010, (e) $938.88 and (f) $447.37.
What is Debit Card?Debit card is a card owned by a person for which the money used for transaction will be withdrawn or added into the account of the holder immediately.
Given is a table showing the transactions of Gino with his debit card.
He has an initial deposit amount of $778.19.
New balance in the account will be the difference of previous balance and the payment amount.
He paid $92.19 for baseball bat.
a = $778.19 - 92.19 = $686
He paid $51.00 for gas.
b = $686 - $51 = $635
He deposited $400.
c = $635 + $400 = $1035
He paid $25 for gas.
d = $1035 - $25 = $1010
He paid $71.12 for dinner at Spooner's on the beach.
e = $1010 - $71.12 = $938.88
He paid $491.51 for the books for all semester.
f = $938.88 - $491.51 = $447.37
Hence the missing entries are found.
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What is the slope of the line that passes through the points (10, 4) and
(7, 3)? Write your answer in simplest form.
================================================
Work Shown:
[tex](x_1,y_1) = (10,4) \text{ and } (x_2,y_2) = (7,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - 4}{7 - 10}\\\\m = \frac{-1}{-3}\\\\m = \frac{1}{3}\\\\[/tex]
-----------------
Extra info:
A slope of 1/3 means "go up 1, then to the right 3"
Think of it like this
slope = rise/run = 1/3
rise = 1 = go up 1
run = 3 = go to the right 3
5) The lengths of the fours sides of a quadrilateral are consecutive integers. If the perimeter is 94 meters, find the value
of the shortest of the four side lengths.
The shortest side is 22 meters in the mentioned quadrilateral.
Let us assume the length of first side be x. So, the other three sides of length will be (x + 1), (x + 2) and (x + 3). The perimeter is sum of all sides of the quadrilateral.
Keep the values in the formula of perimeter -
94 = x + x + 1 + x + 2 + x + 3
Performing addition on Right Hand Side of the equation
94 = 4x + 6
Shifting 6 to other side of the equation
4x = 94 - 6
Performing subtraction on Right Hand Side of the equation
4x = 88
Shifting 4 to Right Hand Side of the equation
x = 88 ÷ 4
Performing division
x = 22
Thus, the shortest side of quadrilateral is 22 meters long.
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The varsity baseball team has won 15 out of their last
16 games. The junior varsity team has won 6 out of their
last 10 games. What is the probability that both teams
win their next game?
If you could give me step by step explanation that would be great.
Answer:
Step-by-step explanation:
a computer randomly selects 800 names from a list of all registered voters. those selected are surveyed to predict who will win the election for mayor.
a computer randomly selects 800 names from a list of all registered voters. Then option C is correct that is Simple random sampling
A simple random sample in statistics, is a subset of individuals chosen from a larger set. Each individual is chosen randomly and entirely by chance, such that each individual has the same probability for the entire larger set.
the complete question is
Identify the sampling method as simple random sampling, systematic sampling, convenience sampling, or stratified sampling. A computer randomly selects 800 names from a list of all registered voters. Those selected are surveyed to predict who will win the election for Mayor.
Choose the correct sampling technique below.
A. Systematic sampling
B. Convenience sampling
C. Simple random sampling
D. Stratified sampling
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For which of the following pairs (x,y)(x,y) does the inequality 12x^2 + 6y^2 \geq 17xy12x2+6y2≥17xy fail?
Answer:
=(3x - 2y( (4x - 3y)
Step-by-step explanation:
We have,
12x2 – 17xy + 6y2
The coefficient of x2 is 12
The coefficient of x is -17y
Constant term is 6y2
So, we express the middle term -17xy as -9xy – 8xy
12x2 -17xy+ 6y2 = 12x2 – 9xy – 8xy + 6y2
= 3x (4x – 3y) – 2y (4x – 3y)
= (3x – 2y) (4x – 3y)
Wes wants to treat his friends to some arcade games. He has 50 game tokens. Which three responses show a number of friends Wes could divide his tokens among evenly?
The three responses that can show a number of friends Wes could divide his tokens among evenly include:
25 tokens each for 2 friends.
5 tokens each for 5 friends.
10 tokens for 5 friends.
How to illustrate the information?From the information, Wes wants to treat his friends to some arcade games. He has 50 game tokens.
It should be noted that this information simply wants you to illustrate the factors of 50.
Therefore, the factors are 2, 5, 10, 25 and 50.
Therefore, 25 for 2 friends will be 50. Same with 5 for 10 friends. In this case, it should be noted that 25 × 2 = 50 and 5 × 10 = 50. This gives the original value and shows how he can divide the game tokens equally.
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a student missed 4 problems on a mathematics test and received a grade of 75%. if all the problems were of equal value, how many problems were on the test?
The problems in the test are 16.
In the given case a student missed four problems on a test.
The test happened to be a mathematics test and the student scored a total percentage of 75%.
It is mentioned that every question has of same score values.
To find out how many problems were actually on the test we need to solve the problem by following the steps.
Let,
Questions not attempted ( x ) = 4
Percentage gained ( y ) = 75%
The percentage lost is 25%
The total questions in the test are;
→ A = (100/25) * 4
A = 16
Therefore, the questions in the test are 16.
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PLease help it’s due tomorrow morning
Explain the step that is used to solve the equation
-3p-4<6. I rlly need help guys
Answer:
p > -10/3
Step-by-step explanation:
-4<6+3p
-10<3p
p>-10/3
:]
Answer: p > 10/-3
Step-by-step explanation:
1) Remove the whole numbers next to the variable
Add 10 on both sides.
-3p < 10
2) Set x by itself
Divide -3 on both sides. Dividing -3 will flip the operator sign. (Dividing/Multiplying negative number flips the sign)
p > 10/-3