Answers
Step-by-step explanation:
the line equation is in the slope-intercept form.
that looks like
y = ax + b
"a" is the slope (always the factor of x). "b" is the y-intercept (the y value when x = 0).
so, when it says "the same slope", we know we have to use the same factor of x.
and yes, the coordinates of a point are (x, y). so, you really need to use it in the places of x and y to get "b".
9.
y = -4x + b
2 = -4×0 + b = b
so, yes, the equation is
y = -4x + 2
but as you can see : b is NOT y in general.
10.
y = 2/3 x + b
-1 = 2/3 × 4 + b = 8/3 + b
now, let's multiply both sides by 3 to get rid of the fraction :
-3 = 8 + 3b
-11 = 3b
b = -11/3
so, the equation is
y = 2/3 x - 11/3
or
y = 1/3 × (2x - 11)
Related Questions
hi, please help with these questions. i’ve attempted them but i am not too sure if they’re correct. thank you.
Answers
Let the number of sweets Mrs. Chua has be x
And the number of children be y
So,
x-8y=3 ------- 1️⃣
x-9y= -2 ------- 2️⃣
Change the signs of equation 2️⃣
x-8y=3
+x-9y=-2
- + +
__________
y = 5 ----- 3️⃣Substitute equation 3️⃣ in equation 1️⃣ :
[tex] \sf \: x - 8y = 3[/tex]
[tex] \sf \: x - 8 \times 5 = 3[/tex]
[tex] \sf \: x - 40 = 3[/tex]
[tex] \sf \: x = 3 + 40[/tex]
[tex] \tt \: x = 43[/tex]
Therefore, The total number of children i.e. y is 5 and the total number of sweets Mrs. Chua i.e. x is 43...
The extra number of sweets required by Mrs. Chua is 2 because when each child gets 9 Mrs Chua has 2 sweets short...Adam is re tilling his rectangular bathroom floor with one-square foot tiles.the bathroom floor is 1,770 square feet and the width is.he wants to know the approximate length of the bathroom show two methods
Answers
Answer:
length = area/width
Step-by-step explanation:
The width is missing.
area = length × width
length = area/width
Divide the area by the width to find the length.
Hihi! make sure you double-check before submitting and answer, and also provide a reasonable explanation. It has happened on one too many instances where people got an answer wrong, and "just didn't check", and I had to suffer because they simply went to fast
So please just make sure you are correct or I won't give 5 stars, thanks, and might be reported. that's all!
Answers
Answer:
0.6
Step-by-step explanation:
Divide 2 by 3 to convert 2/3 in its decimal form.
The quotient obtained on dividing 2 by 3 will be 0.6
So, the decimal form of 2/3 is a non-terminating and recurring decimal number 0.6
Solve for the system:
-w+3z=18
5w+6z=15
Answers
A scale that allows one to determine only if there is more, less, or an equal amount of the attribute in comparison to another observation is called a(n) _____ scale.
Answers
Ordinal is the answer.
In the given statement is:
A scale that allows one to determine only if there is more, less, or an equal amount of the attribute in comparison to another observation is called a(n) ____ scale.
Ordinal Scale is the 2nd level of measurement that reports the ranking and ordering of the data without actually establishing the degree of variation between them. Ordinal level of measurement is the second of the four measurement scales. "Ordinal" indicates "Order".
Hence, The answer is Ordinal
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Florencia depositó algún dinero en una cuenta en la que ganaba interés.
La tabla a continuación nos muestra la cantidad en la cuenta en distintos momentos.
AYUDAAAA PORFA
Answers
Usando una función lineal, tenemos que:
Con cada año adicional, la cantidad en la cuenta es incrementada en 60.
¿Qué es una función lineal?Una función lineal es modelada por:
y = mx + b
En el cual:
m es la pendiente, que es la tasa de cambio, es decir, cuánto cambia y cuando x cambia en 1.b es la intersección con y, que es el valor de y cuando x = 0, y también se puede interpretar como el valor inicial de la función.En este problema, hay que la pendiente es de 60, puesto que en cada año la cantidad aumenta en $60, por eso:
Con cada año adicional, la cantidad en la cuenta es incrementada en 60.
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Ian wants to promote his band on the internet. site a offers website hosting for $5 per month with a $50 start-up fee. site b offers website hosting for $15 per month with no start-up fee. for how many months will site b be less expensive than site a?
Answers
For 5 months site b be less expensive than site a.
From the given question we get to know that on-site $50 is a must and %5 will be paid per month, and on-site b $15 will be per to promote his brand and there is no start-up fee.
Let's take the n to be x.
We have to find how many months will b site be less expensive than site a.
So total expenses for site a = 50 + 5x
and total expenses for site b = 15x
We get an equation
50+5x =15x
10x=50
x=5
Therefore for 5 months site b will be less expensive than site a.
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Write and simplify an expression for the ratio of the volume of the cylindrical tank to its surface area (including the bases).
Answers
The ratio of the volume of the cylindrical tank to its surface area will be r / 2.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
Let r be the radius and h be the height of the cylinder.
Then the volume of the cylinder will be
V = π r²h cubic units
Then the surface area of the cylinder will be
SA = 2πrh square units
Then the ratio of the volume of the cylindrical tank to its surface area will be
V / SA = π r²h / 2πrh
V / SA = r / 2
The ratio of the volume of the cylindrical tank to its surface area will be r / 2.
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385 people get on an empty train at a station. At the first stop, 264 more people get on the train, and 89 people get off. There are no more stops until the train reaches it final destination, where everybody gets off the train.
How many people get off the train at the final destination?
Answers
385 people get on an empty train at a station. At the first stop, 264 more people get on the train, and 89 people get off. There are no more stops until the train reaches it final destination, where everybody gets off the train.
560 is the answer
560 people get off the train at the final destination.
Given that 385 people get on an empty train. At the first stop, 264 more people get on, and 89 people get off.
There are no more stops until the train reaches it final destination,
We need to find the number of the people who get off the train at the final destination.
To find out how many people get off the train at the final destination, let's break down the information given step by step.
385 people get on the empty train at the station.
At the first stop, 264 more people get on the train, bringing the total number of people on the train to 385 + 264 = 649.
Additionally, 89 people get off the train at the first stop.
After the first stop, there are no more stops until the final destination.
To find out how many people get off at the final destination, we need to subtract the number of people who got off at the first stop from the total number of people on the train after the first stop.
Total number of people on the train after the first stop = 649 (from step 2)
People who got off at the first stop = 89 (from step 3)
Number of people who get off at the final destination = Total number of people on the train after the first stop - People who got off at the first stop
Number of people who get off at the final destination = 649 - 89 = 560
Therefore, 560 people get off the train at the final destination.
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an insulated cooler holds 558 ounces of lemon how many full 12.4-ounces glasses of lemonae can be poured from the cooler
Answers
The number of glasses of lemonade that can be poured from the cooler is 45.
Given that, an insulated cooler holds 558 ounces of lemon.
We need to find how many full 12.4-ounces glasses of lemonade can be poured from the cooler.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, the number of glasses of lemonade = 558/12.4
=45
Hence, the number of glasses of lemonade that can be poured from the cooler is 45.
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Which graph represents the equation y=34x−3?
Answers
Answer:
The graph in the top right hand corner.
Hope this helps :)
Step-by-step explanation:
The formula y = mx + b
shows that m is the slope and b is the y-intercept.
m = 34
b = - 3
So to find the equation of the graph I looked at the y-intercept which is -3 and the graph in the right hand corner has a y-inyercept of -3 so that graph represents the equation y = 34x - 3
Reason:
The equation is y = (3/4)x - 3 which is in y = mx+b form
m = slope = 3/4
b = -3 = y intercept
The y intercept of -3 means the point (0,-3) is on the line. Start at this point and go up 3, then to the right 4 to arrive at (4,0) which is the x intercept. The motion "up 3, right 4" is directly from the slope 3/4
slope = rise/run = 3/4
rise = 3 = go up 3
run = 4 = go right 4
Please help - Will give BRAINLIEST!!
Answers
Answer:
For the first one:
A' (-8,6)
B' (-9,10)
C' (-3,9)
D' (-2,5)
Step-by-step explanation:
Find the mode(s) for the given sample data. (if there are more than one, enter the largest value for credit. if there is no mode, enter 0 for credit.) 42, 25, 86, 30, 25, 15, 42, 42
Answers
For the given sample data, 42, 25, 86, 30, 25, 15, 42, 42, the mode is 42.
In statistics, the mode, denoted by Mo, refers to the most frequent value or values in the data set. If all the numbers in the data set appears only once, then the data set has no mode.
For the given sample data,
42, 25, 86, 30, 25, 15, 42, 42
the number 42 appears thrice, 25 appears twice and the rest appears only once.
The number 42 appeared the most frequent among all the other data.
Hence, the mode of the data set that contains 42, 25, 86, 30, 25, 15, 42, 42 is 42.
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Given the function f(x)=-6x-1, then what is f(-x) as a simplified polynomial?
Answers
he zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
A.
f(x) = (x + 6)(x + 4)
B.
f(x) = (x + 6)(x − 4)
C.
f(x) = (x − 6)(x + 4)
D.
f(x) = (x − 6)(x − 4)
Answers
Answer:
C
Step-by-step explanation:
given the zeros x = a and x = b then the corresponding factors are
(x - a) and (x - b)
then f(x) is the product of these factors
given zeros x = 6 and x = - 4 then the factors are
(x - 6) and (x - (- 4)) , that is (x - 6 and (x + 4) , then
f(x) = (x - 6)(x + 4)
Which relationships are likely to have a positive association? select all that apply.
a. the distance traveled on a trip and the travel time
b. the distance remaining on a trip and the travel time
c. the amount of money spent and the number of shirts bought
d. the height of an eighth- grade student and the time to complete a puzzle
e. the amount of money owed on a computer and the time making payments
would be great if someone helped :))
Answers
The relationships
a. the distance traveled on a trip and the travel time
c. the amount of money spent and the number of shirts bought
are have the positive associations.
Positive associations:
Two variables have a positive association when the values of one variable tend to increase as the values of the other variable increase.
Given,
Here we have the following relationships,
a. the distance traveled on a trip and the travel time
b. the distance remaining on a trip and the travel time
c. the amount of money spent and the number of shirts bought
d. the height of an eighth- grade student and the time to complete a puzzle
e. the amount of money owed on a computer and the time making payments
We need to find the positive associations in it.
Based on the definition of positive association,
The options (a) and (c) are the relationships that are in positive association.
Because while we look into the option (a),
When the traveling distance is increased then the time taken for it also increased.
Similarly in option (c),
While we increase the amount then the number of shirt we brought will also be increased.
The other options are not fit in this case.
So, option (a) and (c) are in positive association.
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a rectangular piece of metal is 5in longer than it is wide, squares of 1in long are cut from the four corners and the flaps are folded upward to form an open box. if the volume of the box is 456in^(3) , what were the original demensions of the piece of metal?
Answers
The original dimensions (length and width) of this rectangular piece of metal are 19.81 inches and 14.81 inches respectively.
How to calculate the volume of a rectangular prism?Mathematically, the volume of a rectangular prism can be calculated by using this formula:
Volume = L × W × H
Where:
L represents the length of a rectangular prism.H represents the height of a rectangular prism.W represents the width of a rectangular prism.Given the following data:
Length, L = W + 5
Since squares of 1 in long are cut from the four corners, the length and width are reduced by 2 in. Also, the height of the box would be 1 inches.
Therefore, the volume of this rectangular box is given by:
456 = (L - 2) × (W - 2) × 2
456 = (W + 5 - 2) × (W - 2) × 2
456 = (W + 3) × (W - 2) × 2
228 = (W² - 2W + 3W - 6)
228 = W² + W - 6
W² + W - 6 - 228 = 0
W² + W - 234 = 0
Next, we would solve the quadratic equation by using the quadratic formula:
[tex]W = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\\\\W = \frac{-1\; \pm \;\sqrt{1^2 - 4(1)(-234)}}{2 \times 1}\\\\W = \frac{-1\; \pm \;\sqrt{1 + 936}}{2}\\\\W = \frac{-1\; \pm \;\sqrt{937}}{2}[/tex]
Width, W = 14.81 or -15.81
Since the width cannot be negative, the value of W is equal to 14.81 inches.
For the length, we have:
Length, L = W + 5
Length, L = 14.81 + 5
Length, L = 19.81 inches.
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If 6 people evenly share 3/4 of cake, what fraction of the whole cake does each person gets?
Answers
Answer:
1/8
Step-by-step explanation:
(3/4)÷6
3/24
1/8
pls pls pls helppp!!! will give brainliest!!!!
Answers
Answer:
x = 64
Step-by-step explanation:
The interior angles of a triangle add up to 180 degrees, so the missing angle in the triangle on the right has an angle measurement of 180 - 47 - 81 = 52 degrees.
Since the angle and the rightmost angle in the triangle on the right are vertical angles. They are congruent.
Finally, since the triangle on the left is an isosceles triangle and the base angles, the angles on the top left and bottom left, are congruent and therefore their angle measures are both x degrees. So, 2x + 52 = 180 and x = 64.
Laney walks 13 miles to school from her
house and rides the bus home. If she walked five
days last week, how many total miles did Laney
walk?
Answers
The Total number of miles that Laney walked is 65 miles.
How to calculate the value?From the information, Laney walks 13 miles to school from her house and rides the bus home and she walked five days last week.
Therefore, the total number of miles that he walked will be:
= 13 × 5
= 65 miles.
Therefore the miles is 65 miles.
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4. The figure below is a rectangle. What is the value of x?
Hint: opposite sides of a rectangle are congruent
3(x + 4)
5x-9
Answers
Answer:
3(x+4)=5x-9
or,3x+12=5x-9
or,12+9=5x-3x
or,21=2x
orx=21/2
x=10.5
The value of x from the given rectangle is 10.5 units.
The opposite sides of a rectangle are 3(x+4) and 5x-9.
What is a rectangle?A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.
Now, the opposite sides of a rectangle are congruent
So, 3(x+4) = 5x-9
⇒ 3x+12=5x-9
⇒ 5x-3x=12+9
⇒ 2x=21
⇒ x=10.5 units
Therefore, the value of x from the given rectangle is 10.5 units.
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f(x) = 12x² - 81, find f(0).
Answers
Answer:
f(0) = - 81
Step-by-step explanation:
f(0) means what is the value of f(x) when x = 0
substitute x = 0 into f(x)
f(0) = 12(0)² - 81 = 12(0) - 81 = 0 - 81 = - 81
HELP!!!! i need a mathematician!!!
Answers
An appliance store is having a liquidation where everything in the store is 70% off the regular price. what is the price of a dishwasher that is regularly $519.89? a. $36.39 b. $70.00 c. $155.97 d. $363.92 please select the best answer from the choices provided a b c d
Answers
With 70% off the regular price, a dishwasher, regularly priced at $519.89, will be $155.97 only. The answer is C.
Discount is the deduction in the price of a good or service. When this reduced price is expressed in percentage then we call it a discount rate.
If the discount is given in percent, then the amount of discount can be found by using the formula:
Amount of Discount = Regular Price × Rate of Discount
If the regular price of a dishwasher is $519.89, and the discount rate is 70%, using the formula, solve for the discount value.
Amount of Discount = $519.89 x 70%
Amount of Discount = $519.89 × 0.70
Amount of Discount = $363.92
To get the final price of the dishwasher, subtract the discount value from the original or regular price.
price = $519.89 - $363.92
price = $155.97
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Which operation should be used to solve x + 7 = 19?
Answers
Answer:
-7
Step-by-step explanation:
If you use -7 the LHS will get cancelled.
x + 7 = 19
or, x + 7 - 7 = 19 - 7
or, x = 12
X = 12
12+7=19
Simplfyy -3x plus7y plus21y -21
Answers
Answer:
-3x + 28y - 21
Step-by-step explanation:
[tex]7y+21y=28y\\=-3x+28y-21[/tex]
• Add the similar factors and carry over the uncommon factor, -3x.
ents
PQ bisects ST at R. SR=3x+3 and ST 30. Find z.
S
Ox=8
Ox=6
O x = 2
Ox=4
Answers
If line PQ bisects line ST at point R and SR=3x+3 and ST=30 then the value of x = 4.
As given in the question,
Line PQ bisects ST at point R
SR=3x+3
ST=30
R is the midpoint of ST as PQ bisects ST this implies
Line SR=1/2 of line (ST)
⇒SR=ST/2
Substitute the value of SR and ST in the given condition
3x+3=30/2
⇒3x+3=15
Subtract 3 from both the sides
⇒3x=12
Divide both the side by 3
⇒3x/3=12/3
⇒x=4
Therefore, for the line PQ bisects line ST at point R and SR=3x+3 and
ST=30 then the value of x is equal to 4.
The complete question is:
If the line PQ bisects line ST at point R. SR=3x+3 and ST = 30. Find x.
a. x= 8 b. x =6 c. x =2 d. x= 4
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(-3,4), (2, y); m=5
Answers
Answer:
I think y is 29
Step-by-step explanation:
It's what the results gave me
Please find me the value of x
Answers
Answer:
x = 60°
Step-by-step explanation:
See picture below. When two parallel lines are cut by a transversal there are some special relationships.
Answer:
x = 60°
Step-by-step explanation:
∠ ABO and ∠ CBO are a linear pair and sum to 180° , that is
∠ ABO + ∠ CBO = 180°
150° + ∠ CBO = 180° ( subtract 150° from both sides )
∠ CBO = 30°
∠ XYO and ∠ CBO are alternate angles and are congruent , so
∠ XYO = 30°
∠ XOY and ∠ COY are a linear pair and sum to 180° , then
∠ XOY + ∠ COY = 180°
∠ XOY + 90° = 180° ( subtract 90° from both sides )
∠ XOY = 90°
the sum of the 3 angles in Δ XOY = 180° , that is
x + 90° + 30° = 180°
x + 120° = 180° ( subtract 120° from both sides )
x = 60°
Alyssa spent 365 hours commuting on the train over the course of 54 days.if she rode the same amount of time per day , approximately how many hours did she spend on the train per day.
Answers
Approximately 6.8 hours Alyssa spends on the train per day.
Given that, Alyssa spent 365 hours commuting on the train over the course of 54 days.
We need to find the number of did Alyssa spend on the train per day.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of hours Alyssa spends on the train per day be x.
Now, x=365/54
=6.759≈6.8 hours
Therefore, approximately 6.8 hours Alyssa spends on the train per day.
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