Answer: A) y = 1/3x − 4
Step-by-step explanation:
Find the Equation Using Point-Slope Formula
slope: 1/3
point: (6, −2)
Use the slope 1 and a given point (6, −2) to substitute for [tex]x_1[/tex] and [tex]y_1[/tex] in the point-slope form
y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]), which is derived from the slope equation m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
y − (−2) = 1/3 ⋅ (x − (6))
Simplify the equation and keep it in point-slope form.
y + 2 = 1/3 ⋅ (x − 6)
Solve for y.
1/3 ⋅ (x − 6).
Apply the distributive property.
y + 2 = 1 /3 x + 1 /3 ⋅ − 6
Combine 1/3 and x.
y + 2 = x/3 +1/3 ⋅ −6
Cancel the common factor of 3.
y + 2 = x /3 − 2
Move all terms not containing y to the right side of the equation.
Subtract 2 from both sides of the equation.
y = x/3 − 2 − 2
Subtract 2 from −2. x
y = x/3 − 4
Reorder terms.
y = 1/3x − 4
List the equation in different forms.
Slope-intercept form:
y = 1/3x − 4
Point-slope form:
y + 2 = 1/3 ⋅ (x − 6)
which of the answers are correct? there is possibly more than one.
Answer:
[tex]b_2 = \frac{2A}{h} -b_1[/tex]
Step-by-step explanation:
Given
[tex]A = \frac{1}{2}h(b_1 + b_2)[/tex]
Required
Select equivalent expressions
Multiply through by 2
[tex]2*A = 2*\frac{1}{2}h(b_1 + b_2)[/tex]
[tex]2*A = h(b_1 + b_2)[/tex]
[tex]2A = h(b_1 + b_2)[/tex]
Divide through by h
[tex]\frac{2A}{h} = \frac{h(b_1 + b_2)}{h}[/tex]
[tex]\frac{2A}{h} = b_1 + b_2[/tex]
Subtract b1 from both sides
[tex]\frac{2A}{h} -b_1= -b_1 + b_1 + b_2[/tex]
[tex]\frac{2A}{h} -b_1= b_2[/tex]
[tex]b_2 = \frac{2A}{h} -b_1[/tex]
From the list of options, there is only one answer
a recipe needs 4/5 cup(s) of sugar for every 3 cups of flour. if you plan to use 7 1/2 cups of flour, how much sugar will you need?
Answer:
2 cups of sugar
Step-by-step explanation:
Set up a proportion where x is the amount of sugar for 7.5 flour cups
[tex]\frac{3}{0.8}[/tex] = [tex]\frac{7.5}{x}[/tex]
Cross multiply and solve for x:
3x = 6
x = 2
So, you will need 2 cups of sugar
HELP I HAVE TILL 12 AND IRS IN 20 MINUTES
What is the equation of the line that has a slope of 13 and goes through the point (6,−2)?
y=13x−8
y=13x
y=13x−4
y=13x+4
Answer:
y = 13x - 80{Or, if you mean slope of 1/3: y = ¹/₃x - 4 }
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = 13
(6, -2) ⇒ x₀ = 6, y₀ = -2
The point-slope form of the equation:
y + 2 = 13(x - 6)
So:
y + 2 = 13x - 78 {subtract 2 from both sides}
y = 13x - 80 ← the slope-intercept form of the equation
{Or, if you mean slope of ¹/₃: m = ¹/₃
The point-slope form of the equation: y + 2 = ¹/₃(x - 6)
y + 2 = ¹/₃x - 2 {subtract 2 from both sides}
y = ¹/₃x - 4 ← the slope-intercept form of the equation}
In a gram panchayat election, candidate A
won with 220 votes where the number of
voters was 1,000. In another such election,
candidate B won with 300 votes where
the number of voters was 1,300. Who won
with the greater majority?
Which fraction has a a value that’s equal to 3/4?
Mariah is training for the marathon. Today she ran 12 miles for 1 hour and 30 minutes . If the relationship between her distance covered and the number of minutes is proportional, write an equation that Mariah can use to represent the proportional relationship between her distance ( d ) and her time ( t).
Answer:
d= 8 t
Step-by-step explanation:
In 1 hour 30 minutes it ran for 12 miles.
So, time t =1.5 hours(Because 1 hour 30 minutes)
distance d =12
We know distance d= rate 'r' * time 't'.
So, using given information , find the rate
12= r *1.5
Divide both sides by 1.5
8=r
So, equation would be d =8 t.
Where 't' is in hours.
Floyd is an aspiring music artist. He has a record contract that pays him a base rate of \$200$200dollar sign, 200 a month and an additional \$12$12dollar sign, 12 for each album that he sells. Last month he earned a total of \$644$644dollar sign, 644.
Write an equation to determine the number of albums (a)(a)left parenthesis, a, right parenthesis Floyd sold last month.
Answer:
Equation to determine number of albums sold: 12a +200 = 644
Step-by-step explanation:
Given that:
Base rate earned by Floyd = $200
Amount for per album sold = $12
Let,
a be the number of albums sold by Floyd
Amount earned last month = $644
According to given statement;
Total earned = 12a + 200
12a +200 = 644
Hence,
Equation to determine number of albums sold: 12a +200 = 644
pls help me look at the screen shot below
Answer:
7241.25 mm squared
Step-by-step explanation:
The surface area of a cylinder is denoted by: , where r is the radius and h is the height.
Here, we know that the diameter is 39.2 mm, and since diameter is twice the radius, then r = d/2 = 39.2/2 = 19.6 mm. We also know that the height is 39.2 mm
using this formula for surface area of cyclinder: 2πrh+2π
diameter = 2r --> 39.2 = 2r
so r= 19.6
The answer is 7241.25 mm squared.
↓Practice Provided Below ↓
I NEED HELP ASAP!!!!!!!!!!!!!!!
PLS AWNSER IS LOTS OF POINTS
Johnny pays $5 a month to use an online ordering service for his company. He has to pay an additional $2 for each order placed. Graph the
equation y=2x+5 to model this equation
4) Get Fit Headquarters charges $40 per month and $3 per exercise class. Fit Planet
charges $20 per month and $8 per exercise class. After how many exercise classes
will the monthly cost be the same at each gym? What will that cost be?
Answer:
After 4 exercise classes, the monthly cost will be the same at each gym
The cost will be $52
Step-by-step explanation:
Assume that the number of the exercise classes is x
∵ Get Fit Headquarters charges $40 per month and $3 per exercise class
∵ The number of the exercise classes is x
→ Add $40 to the product of x and $3 to get the monthly cost
∴ The monthly cost of Get Fit = 3x + 40
∵ Fit Planet charges $20 per month and $8 per exercise class
∵ The number of the exercise classes is x
→ Add $20 to the product of x and $8 to get the monthly cost
∴ The monthly cost of Fit Planet = 8x + 20
∵ They have the same monthly cost
→ Equate their monthly cost to find x
∴ 8x + 20 = 3x + 40
→ Subtract 3x from both sides
∵ 8x - 3x + 20 = 3x - 3x + 40
∴ 5x + 20 = 40
→ Subtract 20 from both sides
∵ 5x + 20 - 20 = 40 - 20
∴ 5x = 20
→ Divide both sides by 5
∴ x = 4
∵ x is the number of the exercise classes
∴ After 4 exercise classes the monthly cost will be the same at each gym
→ Substitute the value of x in one of the monthly cost to get it
∵ The monthly cost of the Get Fit = 3(4) + 40
∴ The monthly cost of the Get Fit = 12 +40
∴ The monthly cost of the Get Fit = 52
∴ The cost will be $52
1. In a survey of villagers it is found that 20% of the people have visited Kano and 25% have visited Port Harcourt and 5% have been to both cities, what percentage have visited neither place
2. in a survey of 290 newspaper readers 181 of them read the daily times 142 read the guardian 117 read punch and each reads at least one of the three papers. If 75 read the daily times and the guardian, 60 read the daily times and punch and 54 read the gardian and and punch
a. draw a venn diagram to illustrate this information
b. how many readers read
I. all three papers
ii. exactly two of the papers
iii.exactly one of the papers
iv. the guardian alone
Answer:
1. 60%
2a. (the diagram is attached)
b-i. 39
b-ii. 72
b-iii. I dont know...sorry :(
b-iv. 52
Step-by-step explanation:
1. U= 100%
Kano alone = 20-5= 15%
PH alone= 25-5= 20%
Kano n PH = 5%
None of the two= x
15+20+5+x= 100
40+x=100
X= 100-40
X= 60%
Let P(–2, 5) and Q(–5, 9). The component form of Vector P Q is . The magnitude of Vector P Q is . To the nearest degree, the direction angle of Vector P Q is . If Vector P Q is multiplied by the scalar –10, the new vector will be the original vector.
Answer:
Let P(–2, 5) and Q(–5, 9).
The component form of Vector P Q is – 3, 4
The magnitude of Vector P Q is 5
To the nearest degree, the direction angle of Vector P Q is 127º
If Vector P Q is multiplied by the scalar –10, the new vector will be in the opposite direction but longer than the original vector.
Answer:
Step-by-step explanation:
What is the slope of the line plz help
Answer:
The slope is 3!
Step-by-step explanation:
In the equation y=3x+2, whatever constant is with the variable "x" is the slope.
Hope this helps :)
Solve the system by substitution.
y = 5x
y = 9x + 8
Answer:
(-2,-10)
Step-by-step explanation:
So if y=5x and if y=9x+8 then those should be able to equal each other (substitution):
5x=9x+8
Subtract 5x from both sides:
0=4x+8
Subtract 8 from both sides:
-8=4x
Divide both sides by 4:
x=-2
If x=-2, then we can just plug it back into the first equation:
y=5(-2)
Simplify:
y=-10
Answer:
x = -2
y = -10
Step-by-step explanation:
So if y = 5x
Then you can put that in place of the y
5x = 9x + 8
Get the x's all on one side by subtracting
-4x = 8
Divide both sides by -4
x = -2
Then insert x into the first equation, so
y = 5(-2)
y = -10
what expression is equivalent to h + 5 + 3 - 2h
The equivalent expression of h + 5 + 3 - 2h is -h+8.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
We have the expression:
h + 5 + 3 - 2h
To find the equivalent expression:
We simplify the expression,
h + 5 + 3 - 2h
= h -2h +5+ 3
= -h +8
-h+8 is the equivalent expression of h + 5 + 3 - 2h.
Therefore, -h +8 is the equivalent expression.
To learn more about the equivalent expression;
https://brainly.com/question/28170201
#SPJ2
HI PLS HELP!!! A student scored 83 and 91 on their first two quizzes. Write and solve a compound inequality to find the possible values for a third quiz score that would give them an average between 85 and 90, inclusive.
Answer:
between 81 and 96 inclusive
Step-by-step explanation:
well the average of 3 scores is
something / 3
so we have
[tex]85\leq \frac{83+91+x}{3}\leq 90[/tex]
now solving it
[tex]85(3)\leq 174+x\leq90(3)\\\\255\leq 174+x\leq 270\\\\81\leq x \leq 96[/tex]
In June, Tara gathered data about amusement park attendance on days with different temperatures. Tara used the equation y=−3.5x+400 to model the number of children, y, at the amusement park as a function of the temperature, x. On a day in July, the temperature was 90°F and there were 60 children at the park. Which is the residual of this data point?
Answer:
25
Step-by-step explanation:
Given the model:
y=−3.5x+400
Number of children in amusement park = y
Temperature = x
On a certain day:
Temperature = 90°F
Number of children in park = 60
Using the model :
The predicted number of children in park when temperature is 90°F would be :
y = - 3.5(90) + 400
y = - 315 + 400
y = 85
Model prediction = 85 children
Actual figure = 60
Residual :
|Actual - predicted | = |60 - 85| = 25 children
If mZLKO = 72°, then what is mZJKH?
B
C
E
A
►F
H Η
M
Answer:
d-"5"_""__"_'uvyctxycuvycycycyv
8. The Listening Example is one of A. 27 I B. 24 preludes in this set, Opus 28. C. 20 D. 28
Answer:
28
Step-by-step explanation:
I'm not sure sorry..........
Element X decays radioactively with a half life of 13 minutes. If there are 530 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 11 grams?
Answer:
72.7 minutes
Step-by-step explanation:
From the above question, we can deduce that we are to find the time(t) of decay.
The formula used for this calculation is given as:
N(t) = No(1/2)^t/t½
N(t) = quantity of the substance remaining = 11 grams
No = initial quantity of the substance = 530 grams
t = time elapsed
t½ = half life of the substance = 13 minutes
Making t , the subject of the formula
t = t½ × In(N(t)/No)/-In2
t = 13 × In(11/530)/-In2
t = 72.675420100572minutes
Approximately 72.7 minutes
Please help this is a grade
Answer:
I don't see the answer to the problem
C=(y-6)h solve for y
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:y=c/h +6
PLEASE ANSWER ASAP. WILL MARK AS BRAINLYEST
What is the area, in square units, of the parallelogram shown below?
O 12 square units
O 24 square units
O 48 square units
O 96 square units
Answer:
96
Plzzzzz give me Brainliest!!!!!
Answer:
A=b×h
Hence: 12 × 8= 96 square units
Which statement describes the mapping?
Group of answer choices
A. The mapping does not represent y as a function of x, because two of the x-values corresponds to the same y-value.
B. The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value.
C. The mapping does not represent y as a function of x, because there are more x-values than different corresponding y-values.
D. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.
Answer:
b. The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value.
Step-by-step explanation:
PLEASE HELP I NEED TO RAISE MY GRADE PLEASE
Answer:
AC, AB. BC
Step-by-step explanation:
HELPPPP!!!! ASAPPPPP!!!! TIMEDDDDD!!!!
Answer:
Yoyo and yoyo
Step-by-step explanation:
What is the domain and range?
Answer:
The domain D = {0, 1, 2, 3, 4, 5}
The range R = {3, 4}
Step-by-step explanation:
Given the ordered pairs or points on the graph
{(0, 4), (1, 4), (2, 4), (3, 3), (4, 3), (5, 3)}
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
Domain refers to all the possible sets of input values on the x-axis.It means the set of all the x-coordinates of the given points or ordered pairs on a graph will be the domain.
Thus,
The domain D = {0, 1, 2, 3, 4, 5}
Determining the range:
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.It means the set of all the y-coordinates of the given points or ordered pairs on a graph will be the range.
Thus,
The range R = {3, 4}
Note: Please note that the duplicated elements in the range are written only once.
Y-2#)_424-435 help me
Thanks for the points!
Answer:
thanks for points
Step-by-step explanation: