Answers
Answer:
y = 4x + 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
here m = 4 , then
y = 4x + c ← is the partial equation
to find c substitute (2, 9 ) into the partial equation
9 = 8 + c ⇒ c = 9 - 8 = 1
y = 4x + 1 ← equation of line
Related Questions
What is the solution to the system of equations y 1 3x 10 2x y 4?.
Answers
The solution to the system of equations y = 1/3x - 10 and 2x + y = 4 is (6, -8).
What is the system of equations ?A system of equations is a collection of two or more equations with a same set of unknowns.
What is a Subsitution method ?The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
The given system of linear equations are :
y = 1/3x - 10 and 2x + y = 4
On solving two equations by using substitution method, It is given that
[tex]y = \frac{1}{3}x-10[/tex] … (1)
2x + y = 4 … (2)
Substituting (1) in (2)
⇒ [tex]2x + (\frac{1}{3}x-10) = 4[/tex]
By further calculation
⇒ [tex]2x + \frac{1}{3}x - 10 = 4[/tex]
⇒ [tex]2x + \frac{1}{3} x = 4 + 10[/tex]
⇒ [tex]2x + \frac{1}{3} x = 14[/tex]
Taking LCM
⇒ [tex]\frac{(6+1)}{3}x = 14[/tex]
⇒ [tex]\frac{7}{3}x = 14[/tex]
By cross multiplication
⇒ 7x = 14 × 3
⇒ 7x = 42
Divide both sides by 7
⇒ x = 6
Substitute the value of x in equation (1)
[tex]\Rightarrow\ y = (\frac{1}{3} \times (6) - 10)[/tex]
So we get
⇒ y = (2-10)
⇒ y = -8
Therefore, the solution to the system of equations is (6, -8).
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(-6,4)
(-4,0)
(4,4)
(2,8)
what’s the perimeter
Answers
Answer:
Step-by-step explanation:
ANSWERS LESS THAN , GREATER THAN , SAME . PLEASE HELP WILL MARK BRAINLYEST IF YOU REMIND ME AND GIVE ME THE CORRECT ANSWER!!!!!
Answers
Answer:volume of pyramid is equal to the volume of prism
Step-by-step explanation:
find the critical value za/2 needed to construct a confidence interval with level 82%. round the answer to two decimal places.
Answers
Using the z table, the critical value [tex]z_{a/2}[/tex] needed to construct a confidence interval with level 82% is 1.34.
In the given question,
We have to find the critical value [tex]z_{a/2}[/tex] needed to construct a confidence interval with level 82%.
The confidence interval is 82%.
We can write 82% as 82/100 and 0.82.
Now the value of
[tex]\alpha[/tex]=1−0.82
[tex]\alpha[/tex]=0.18
Now finding the value of [tex]\alpha[/tex]/2
[tex]\alpha[/tex]/2=0.18/2
[tex]\alpha[/tex]/2=0.09
Now finding the value of [tex]z_{a/2}[/tex].
[tex]z_{0.82}[/tex] = 1.34
Hence, the critical value [tex]z_{a/2}[/tex] needed to construct a confidence interval with level 82% is 1.34.
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Mark says that the expression 2+3 is a binomial since it had two terms. Layla says that it is a monomial since 2+3=5,and 5 is just one term. Who is correct
Answers
The given expression in monomial. 2+3 is a monomial as it will give 5 which has only one degree. Layla is correct
What is monomial?
When an expression has only one similar like term of all the terms are of same degree then it is known as Monomial. When there are two distinct terms then it is said to be binomial.
We Are given an expression 2+3
Now both the number 2 and 3 have degree 0
Hence we can add them directly hence it become 5 which again has a degree 0 only
Hence it is a monomial term
Therefore Layla is correct
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Meredith's new scale measures in both pounds
and kilograms. The information on the box says the
scale has a weight limit of 200 kilograms or 440
pounds.
What is the approximate unit rate of kilo per pound and pound per kilo
Answers
The unit rate of kilo per pound = 0.4545
And the unit rate of pound per kilo = 2.2
Meredith's new scale measures in both pounds and kilograms.
The information on the box says the scale has a weight limit of 200 kilograms or 440 pounds.
We have a weight limit of 200 kilograms or 440 pounds.
We need to find the unit rate of kilo per pound and pound per kilo
The unit rate of kilo per pound would be,
r1 = 200/440
r1 = 0.4545
and a unit rate of pound per kilo would be,
r2 = 440/200
r2 = 2.2
Therefore, The unit rate of kilo per pound = 0.4545
And the unit rate of pound per kilo = 2.2
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Krystal was able to drive her car 300 miles on 12 gallons of gasoline. At this rate, how many miles did she drive using 8 gallons of gasoline?
Answers
Answer:
523
Step-by-step explanation:
the game
All numbers that round to 400 when rounded to the nearest hundred
Answers
211 children went on a picnic. Each child drank 400 milliliters of pineapple juice. How many liters were consumed altogether?
Answers
84.4 liters were consumed.
Step-by-step explanation:211 x 400 = 84400
In total 84400 milliliters were consumed
1000 milliliters are in one liter
So that means 84.4 liters were consumed.
(2.979 x 10^3) - (9.9 x 10^2)
Answers
Answer: -39.57
Step-by-step explanation:
Steps:
2.979x10-9.9) x 10^2
(29.79-9.9) x 10^2
19.89 x 100
A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 35 books. There were twice as many small boxes sent as large boxes, which altogether can hold 225 books. Determine the number of small boxes sent and the number of large boxes sent.
Answers
A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 35 books.
The system of equation will be x+y = 7 and 20x+35y = 225.
Let x be the no of small boxes and y be the no. of large boxes.
Given here each small box can hold 20 books and each large box can hold 35 books.
A total of 7 boxes were sent.
So, x+y = 7.......equation 1
Also given that 7 boxes can hold 225 books altogether.
So, 20x+35y = 225.....equation 2
Hence the system of equation will be x+y = 7 and 20x+35y = 225.
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It costs $6.25 to purchase 7/8 Ib. of ham. how much does it cost to purchase 2.5 Ibs of ham?
Answers
Answer:
Step-by-step explanation:
0.875/2.5 = 6.25/x
0.875x=15.625
x=$17.85
Which functions have a horizontal asymptote? check all that apply.
Answers
Answer:
This is a incomplete questions.
Step-by-step explanation:
So, is there options or do you do a graph.
Feel free to ask
Answer:
B, C, and E for Edge
Step-by-step explanation:
did it and got it right lol :)
Trey believes that 1/3 written as a decimal is the terminating decimal 0.3. Lilly believes that 1/3 written as a decimal is is the repeating decimal 0.33333…. Who is correct?, explain your reasoning.
Answers
Answer:
Lily is correct.
Step-by-step explanation:
Because 0.3 is out of a part that is split into 10 parts.
simplify the following expression 9^-53·9^37
Answers
The simplification of the given expression would be = 9^-¹⁶
What is simplification?Simplification is defined as editing of a given mathematical expression in a more easy to under form or less complex form.
To simplify the given expression such as 9^-53·9^37 the law of exponents should be observed.
According to the law of exponents, a^m * a^n = a^m + n
9^-53·9^37
= 9^ -53+37
= 9^-16
Therefore, the simplification of the expression above would be = 9^-¹⁶.
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Find the slope and y-intercept of each graph
Answers
Answer:1. m=1 3. m=1/3
Step-by-step explanation: your slope on number one was wrong it is 1. the slope on question 3 is 1/3. subtract two of the x-values. then subtract two y-values. they do not have to correspond with the x-values. the x will be your numerator the y your denominator. simplify the fraction
Tonya deposited one check for $56.93, a second check for
$761.29, and a third check into a savings account for her daughter. She also
deposited $75.00 in currency and $25.00 in coin. If she withdrew $150.00 in
cash and their total deposit was $1,785.23, what was the amount of her
third check?
Answers
First you add the 1st and 2nd checks which gives you 56.93+761.29=818.22
Then you add 100 for the currency and coin and subtract 150 for the cash withdraw which gives you 918.22-150=768.22.
Then you subtract that from the total deposit which gives you $1,785.23-$768.22=$1,017.01
A cell phone is on sale at $35 more than half of the regular price. The sale price is $140. Determine the regular price.
Answers
The regular price for the cell phone is $210
How to calculate the price?From the information given, the cell phone is on sale at $35 more than half of the regular price and the sale price is $140.
Let the regular price be represented as x.
This will be illustrated as:
1/2x + 35 = 140
0.5x + 35 = 140
Collect like terms
0.5x = 140 - 35
0.5x = 105
Divide
x = 105 / 0.5
x = 210
The regular price is $210.
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In a drawer, there are 10 pairs of socks, 6 of which are white. If you randomly select two pairs of socks,
what is the probability that both are white? Express your answer as a reduced fraction.
Answers
The probability that both selected pairs of socks are white is 1/3.
We have a drawer. The drawer contains 10 pairs of socks. Six out of ten pairs of socks are white. We randomly selected two pairs of socks. We need to find the probability that both selected pairs of socks are white. Let the probability be represented by the variable "P". To select the first pair of white socks, the chances are six out of ten. Once the first pair is selected, the chances of selecting the second white pair of socks are five out of nine.
P = (6/10)*(5/9) = 1/3
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a(1)=-11
a(n)=a(n-1)x10
what is the 4th term?
Answers
The fourth term a₄ of the sequence aₙ is 15
How to determine the value of a₄?The definition of the function is given as
a(1)=-11
a(n)=a(n-1)x10
When this definition is rewritten properly, we have the following representation
a₁= 11
aₙ = aₙ₋₁ * 10
The above definitions imply that we simply multiply 10 and the previous term to get the current term
Using the above as a guide,
So, we have the following representation
a₂ = 11 * 10
Evaluate the products
So, we have
a₂ = 110
Also, we have
a₃ = 110 * 10
Evaluate the products
So, we have
a₃ = 1100
Lastly, we have
a₄ = 1100 * 10
Evaluate the products
So, we have
a₄ = 11000
This represents the 4th term of the sequence
Hence, the value of a₄ is 11000
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A student noticed that when she gets less than 8 hours of sleep at night, she scores lower on her test grades. Can one conclude that this positive correlation shows a casual relationship?
A. Yes, because it is well known that less sleep lowers test scores.
B. Yes, because it is not a negative correlation.
C. No, because all students get less than 8 hours of sleep at night.
D. No, because it is possible that the student gets lower test grades because of another factor, such as not studying.
Answers
D. No, because it is possible that the student gets lower test grades because of another factor, such as not studying.
What are positive and negative co-relations?When two variables behave in unison, rising or falling in lockstep with one another, there is a positive correlation.
When two variables move in opposition to one another—that is, when one rises, the other falls, this is known as a negative correlation.
Given, A student noticed that when she gets less than 8 hours of sleep at night, she scores lower on her test grades.
No, Because it is possible that the student gets lower test grades because of another factor, such as not studying.
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Write an equation of a line that is
parallel to y = 1/3x + 5 and goes
through (3,5)
A) y = -3x + 14
B) y = 1/3x + 4
C) y = 1/3x + 4/3
D) y = 3x + 1
E) y = 1/2x + 7/2
Answers
Answer:
Step-by-step explanation:
We'll look for an equation in the format y = mx + b where m is the slope and b the y-intercept. A characteristic of parallel lines is that they have the same slope. That means the same value of m for both equations.
The reference equation is y = 1/3x + 5, It has a slope of (1/3). This means the new line will also have a slope of (1/3), and so we can write:
y = (1/3)x + b
Any value of b will result in a parallel line to y = 1/3x + 5. But the new line comes with the requirement that it go through point (3,5). That's easily done if we choose the correct value for b, the y-intercept. We could graph the line to visually determine what value of b will make the line go through this point, or we can simply enter the given point in the above equation and solve for b:
y = (1/3)x + b (for point (3,5)
5 = (1/3)(3) + b
5 = 1 + b
b = 4
A b value of four will shift the line so that it intersects (3,5). See the attached graph.
The table represents the amount of money in a bank account each month.
Month Balance ($)
1 3,600.00
2 2,880.00
3 2,304.00
4 1,843.20
5 1,474.56
What type of function represents the bank account as a function of time? Justify your answer.
This is a linear function because there is a common difference in the balance between the months.
This is a linear function because there is a common ratio in the balance between the months.
This is an exponential function because there is a common difference in the balance between the months.
This is an exponential function because there is a common ratio in the balance between the months.
Answers
The type of function that represents the bank account as a function of time is: this is an exponential function because there is a common ratio in the balance between the months.
How to determine the type of function?In order to determine the type of function that models or represents the bank account as a function of time, we would check whether or not there is a common difference or common ratio.
In Mathematics, a linear function is used to model a situation when there exist a constant or common difference between its consecutive terms. On the other hand, an exponential function there is used to model a situation when there exist a constant or common ratio between its consecutive terms.
For the common difference, we have:
d = 1,474.56 - 1,843.20 = -368.64
d = 1,843.20 - 2,304.00 = -460.8
Therefore, the bank account as a function of time is not a linear function.
For the common ratio, we have:
r = 1,474.56/1,843.20 = 0.8
r = 1,843.20/2,304.00 = 0.8
Therefore, the bank account as a function of time is an exponential function.
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Answer:
the bank account as a function of time is an exponential function.
Step-by-step explanation:
A man whose height is 1. 8 m casts a shadow that is 2. 9 m in length. What is the height of a building that casts a shadow of 11. 3 m?.
Answers
The height of a building is 7 m that casts a shadow of 11.3 m
The ratio between height to shadow length of man will be equal to the ratio of building. So, equating these two to find the height of building.
Height : Shadow length (man) = Height : shadow length (Building)
Keep the values as fraction
1.8/2.9 = Height/11.3
Height of building = (1.8 × 11.3) ÷ 2.9
Performing multiplication in numerator on Right Hand Side of the equation
Height of building = 20.34 ÷ 2.9
Performing division on Right Hand Side of the equation
Height of building = 7 m
Thus, the height of building is 7 m.
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LIBERTY
$1
10
FEDERAL RESERVE NOTE
THE UNITED STATES OF AMERICA
K
H88750416A
10 Catika kund
H88750416A
ONE
Zachen 7. Buy 10
10
2
Answers
Answer:
Step-by-step explanation:
$1.65
Find the equation of the line passing through the given point and parallel to the given line.
( 1 , 9), y = 4
(-1 ,-3), y= 2
(4, -6), y = -5
Answers
Answer:
y = 9, y = - 3 and y = - 6
Step-by-step explanation:
a line with equation y = c is a horizontal line parallel to the x- axis.
c is the value of the y- coordinates the line passes through.
Thus parallel lines must also be horizontal with equation y = c
a line parallel to y = 4 passing through (1, 9 ) with y- coordinate 9 is
y = 9
a line parallel to y = 2 passing through (- 1, - 3 ) with y- coordinate - 3 is
y = - 3
a line parallel to y = - 5 passing through (4, - 6 ) with y- coordinate - 6 is
y = - 6
Tommy was going to sell all of his Pokemon
cards to buy NBA 2K21. After selling half of
them he changed his mind and bought 17
more Pokemon cards. How many did he start
with if he now has 34?
Answers
Answer: [tex]x = 34[/tex]
Step-by-step explanation:
Let x be the original amount of Pokémon cards Tommy had, we know that he sold half of them; this can be express as:
[tex]\frac{x}{2}[/tex]
After this he changed his mind and bought 17 cards, then he has:
[tex]\frac{x}{2} + 17\\[/tex]
We know that he has 34, then we have the equation:
[tex]\frac{x}{2} + 17 = 34[/tex]
Solving for x we have:
[tex]\frac{x}{2} + 17 = 34[/tex]
[tex]\frac{x}{2} = 34 - 17[/tex]
[tex]\frac{x}{2} = 17[/tex]
[tex]x = (2)(17)[/tex]
[tex]x = 34[/tex]
722 divided by 68 =?
Answers
Answer:
Step-by-step explanation:
What is the range of this relation?
Answers
Answer:
{-4,-2,4}
Step-by-step explanation:
range are y values so we just look at the y values of the coordinates plotted on the graph
Hopes this helps
The range of the relation that is graphed above is: {-4, -2, 4}.
What is Range of a Relation?All values of x that are plotted on a graph of a relation is the domain, while the corresponding y-values on the graph is the range of the relation.
Given the graph of the relation above, the x-values of each of the points make up the domain of the relation, while the corresponding y-values of each point make up the range of the relation.
The y-values of each of the points are: -4, -2, and 4
Therefore, the range is: {-4, -2, 4}.
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Calculate this equation,3×y+(5/8)×y
