Find an equation of the line through (3,5) and parallel to y = 3x -7. Write the equation using function notation
f(x)=__
Given:
Equation of line is [tex]y=3x-7[/tex].
To find:
The equation of line which is parallel line to [tex]y=3x-7[/tex] and passes through (3,5) in function notation.
Solution:
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
On comparing the equation [tex]y=3x-7[/tex] with slope intercept form, we get
[tex]m=3[/tex]
So, slope of given line is 3.
Slope of parallel lines are same. Thus, the slope of parallel line is also 3.
Point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
The parallel line passes through (3,5) with slope 3. So, the equation of line is
[tex]y-5=3(x-3)[/tex]
[tex]y-5=3x-9[/tex]
Add 5 on both sides.
[tex]y=3x-9+5[/tex]
[tex]y=3x-4[/tex]
Function notation of this equation is
[tex]f(x)=3x-4[/tex]
Therefore, the equation equation in function notation is [tex]f(x)=3x-4[/tex].
Mary was able to make 3 necklaces and 2 bracelets in 30 minutes. It takes her 5 minutes longer to make a necklace than a bracelet. How long does it take to make each necklace and each bracelet?
A. Bracelets take 3 minutes to make, and Necklaces take 8 minutes to make.
B. Bracelets take 8 minutes to make, and Necklaces take 3 minutes to make.
C. Bracelets take 15 minutes to make, and Necklaces take 20 minutes to make.
D. Bracelets take 20 minutes to make, and Necklaces take 15 minutes to make.
Answer:
A. Bracelets take 3 minutes, and necklaces take 8 minutes.
Step-by-step explanation:
If Mary made 3 necklaces at that rate, it would add up to 24 minutes. A bracelet takes 3 minutes to make, and she made 2, so that would take 6 minutes. Add 24 to 6 and you'll get 30 minutes. I hope this helped :^)
Answer:
23 56
Step-by-step explanation:
yt
In AABC, mZA (3x + 1)º, m B = (x + 14)", and mZC = (4x + 5)º. What is the value of x?
Answer:
x = 20
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
3x + 1 + x + 14 + 4x + 5 = 180, that is
8x + 20 = 180 ( subtract 20 from both sides )
8x = 160 ( divide both sides by 8 )
x = 20
.
Solve the system of equations 3x + 2y = 22 and x - 2y = -6.
solve system of equations
Answer:
x=4
y=5
Step-by-step explanation:
inform me if u cant open the image
Answer:
(4,5)
Step-by-step explanation:
I solved through substitution
3x+2y=22
x-2y=-6 ----> -2y=-6-x ----> -2y=-x-6 -----> y=1/2x+3
Solving for x:
3x+2y=22
3x+2(1/2x+3)=22
3x+x+6=22
4x+6=22
4x=16
x=4
Solving for y:
x-2y=-6
4-2y=-6
-2y=-10
y=5
(4,5)
whats 9-7 1/4 ASAP PLEASE
Answer:
The answer is 1 3/4
Answer:
1 3/4
Step-by-step explanation:
7 1/4 + 1 3/4 = 9
Please choose my answer as the most helpful if it is. I want brainliest. :)
kaede's grades for math in first term are 70,80,60,90,100 . what is his average plz help me and thank u
Answer:80
Step-by-step explanation:
take 20 from 100 and give them to 60.
take 10 from 90 and give to 70.
adds ut to avg 80
Please help no one has answered this I really do appreciate answers!
Answer:
[tex]8x^{9}[/tex]
Step-by-step explanation:
to solve [tex](2x^{3} )^{3}[/tex], you multiply the exponents and do [tex]2^{3}[/tex].
Ieep doing this one wrong can someone tell me what it is? Please
Answer:
1.64 inches or about 1.6 inch
Step-by-step explanation:
The big skittle is 5.5 by 3 and the smaller one is 3 by ? which can be written out like [tex]\frac{5.5}{3}[/tex]=[tex]\frac{3}{?}[/tex] since the skittles proportional then ? = [tex]\frac{3times3}{5.5}[/tex]= 1.636363636...
so it's about 1.64
test the symmetric of a function f(x)=x5+x3+x plz answer my question and you will be mark as brainly
Answer:
Step-by-step explanation:
2000264(X) b x a =177777082
Zoe bought 11 chicken wings for $20.90. What's the unit cost of one wing?
Answer:
$1.90
Step-by-step explanation:
Question: In Boston, Massachusetts, there is a 60% probability of rain on a specific day. How was this probability most likely determined?
Options:
A. On this day each year, it rains 60% of the time.
B. On days with similar conditions as this day, it has rained 60% of the time in Massachusetts.
C. During this month, it rains 60% of the days.
D. On days with similar conditions as this day, it has rained 60% of the time in Boston, Massachusetts
E. The probability was determined randomly.
Answer:
On days with similar conditions as this day, it has rained 60% of the time in Boston, Massachusetts
Step-by-step explanation:
I got it right on the quiz
The correct answer is "On days with similar conditions as this day, it has rained 60% of the time in Massachusetts."
What is probability?Probability is the possibility of happening an event.
Given that, there is a 60% probability of rain on a specific day.
Therefore, it rained 60% of the time on that day.
Hence, the correct answer is "On days with similar conditions as this day, it has rained 60% of the time in Massachusetts."
Learn more on probabilities here:
https://brainly.com/question/19557377
#SPJ2
-3/7 + 1/7 please help me i am on a text and i need help
Answer:
-3/7 + 1/7 equals - 2/7
Step-by-step explanation:
Think of it this way: 3/7- 1/7, then add the negative
Hopefully this helps you!
Answer:
-2 / 7 . Crown?
Step-by-step explanation:
1 / 7 + ( -3 ) / 7 = -2 / 7
Because the positive number is bigger than the negative number on a number line.
Negative numbers are on the left of a number line
Positive numbers are on the right of a number line
If you draw a number line you would go backwards 1 then -3, would become -2 because -2 is greater than -3
Hope this helps.
CAN I also get the crown from your other question and on here too?
The floor of a room is 12m long and 7.5m broad i) Find the area of the floor ii) Find the cost of carpeting the floor at rs 80 per sq.m
(Unitary method)
A=90m^2
Cost=RS.7200
I hope that helps
Answer:
this is the formula that you want
The no. Of adel beads to that of claire's beads was the ratio 7 :4 .When adel gave 68 beads to claire the ratio become 25 :41 . How many beads did claire did claire have finally
Answer:
37 beads
Step-by-step explanation:
Given that:
Adel : Claire = 7 : 4
Let Adel be = A; &
Let Claire be = C
A: C = 7 : 4
[tex]\dfrac{A}{C} =\dfrac{7}{4}[/tex]
7C = 4A
[tex]C = \dfrac{4A}{7}[/tex] --- (1)
When Adel gave 68 beads to claire, we have:
C + 68 = 25:41
[tex]\dfrac{A}{C+68}= \dfrac{25}{41}[/tex]
25(C + 68) = 41A
C + 68 = [tex]\dfrac{41}{25}A[/tex]
[tex]C = \dfrac{41}{25}A - 68[/tex] --- (2)
Equating (1) and (2) together;
[tex]\dfrac{4 * A}{7} = \dfrac{41 *A}{25} - 68[/tex]
[tex]\dfrac{4 * A}{7}-\dfrac{41 *A}{25} = - 68[/tex]
[tex]\dfrac{100A - 287 A}{175} =- 68[/tex]
[tex]\dfrac{-187A}{175} = -68[/tex]
- 187 A = 175 × (-68)
-187 A = - 11900
A = - 11900/ -187
A ≅ 64
From; [tex]C = \dfrac{4A}{7}[/tex]
[tex]C = \dfrac{4*64}{7}[/tex]
C = 36.57
C ≅ 37 beads
Carrie earns $8.50 per hour for tutoring her little brother. How many hours must Carrie tutor to earn $408?
Answer:
48 hours
Step-by-step explanation:
The number of hours that Carrie must tutor to earn $408 will be 48 hours.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Carrie earns $8.50 per hour for tutoring her little brother.
Let x be the number of hours. Then the equation is given as,
8.50x = 408
Simplify the equation, then we have
x = 408 / 8.50
x = 48 hours
The number of hours that Carrie must tutor to earn $408 will be 48 hours.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
1.Read the passage given below.
I have found that nothing in life is worthwhile unless you take risks. Nothing.
Nelson Mandela said: “There is no passion to be found playing small, in settling
for a life that is less than the one you are capable of living.”
I am sure your experiences in school… in applying to college… in picking your
major…in doing what you want to do with life, people have told you to make
sure you’ve something to “fall back on”.
But if I am going to fall, I don’t want to fall back on anything, except my faith.
I want to fall forward. At least I figure that way I will see what I am about to hit.
Thomas Edison conducted 1,000 failed experiments. Did you know that? I
didn’t either, because 1,001 was the light bulb.
Fall forward.
Every failed experiment is one step closer to success. You have got to take risks.
And I am sure you’ve probably heard that before. But I want to talk about why
it is so important.
You will fail at some point in life. Accept it. You will lose. You will embarrass
yourself. There is no doubt about it. That’s not a traditional message for a
graduation ceremony.
But, hey, I am telling you- embrace it. Because it is inevitable.
And I should know; in the acting business you fail all the time.
Early in my career, I auditioned for a part in a Broadway musical. A perfect role
for me, I thought- except for the fact that I can’t sing. So, I start to sing and
they are not saying anything. I think I must be getting better, so I start getting
into it. The director cuts me off saying I will be hearing from him.
I assumed I didn’t get the job.
But the next part of the audition, the acting part, he called me back, though I
didn’t get that too.
But here’s the thing. I didn’t quit. I didn’t fall back.
I walked out of there to prepare for the next audition, and the next audition,
and the next one. I prayed and I prayed, but I continued to fail, and failed and
failed.
But it didn’t matter because if you try long enough you’ll catch your break.
And I did catch a break.
On the basis of your understanding of the passage, answer the questions that
follow. (1x5=5)
I. The speaker will fall back only on his
a) savings
b) faith
c) relations
d) physical strength
II. Which of the following does not mean the same as ‘fall forward’ here?
a) try again
b) another attempt
c) retry
d) fall on the ground
III. What are the two things that the listeners would have heard before,
according to the speaker?
1.making sure that one has something to fall back on.
2.one has got to take risks.
3.always settle for what one has
4.every failure is one step close to success.
a) 1 and 2
b) 2 and 3
c) 3 and 4
d) 1 and 3
IV. What is the Literary Device used in the paragraph “I walked out of there
to prepare for the next audition, and the next audition, and the next one.
I prayed, and I prayed, but I continued to fail, and failed and failed.”
a) parallelism
b) hyperbole
c) repetition
d) irony
V. What do you understand about the profession of the speaker from the
passage?
a) singer
b) writer
c) poet
d) actor
Answer:
singe
writer
poiter
and many many things
What’s the answer to this? Thanks!
Answer:
D
Step-by-step explanation:
I used a triangle calculator I'm not really sure how to calculate it by hand. if the angle of sides 4 and 15 is set to 1 then the min is 11.33 and if the andle of sides 4 and 15 are set to 179 then the max is 18.99952
Sorry if this isnt enough, but i am sure.
Answer:
D. 11 < x < 19.
Step-by-step explanation:
The third side x is between 11 and 19 cm.
Consider sides AB (length 4) and BC (length 15) of the triangle.
Consider the angle between AB and BC is slightly less than 180 degrees. To get from point A to point C, we have to travel almost the entire length of A to C, which is from A to B and then B to C, so a bit less than 19 cm.
Consider the angle between AB and BC is slightly more than 0 degrees. To get from point A to point C, we subtract the length of AB (because we're already further along BC), so 15 - 4, a bit greater than 11.
At the start of the month, the value of an investment was $53.92. By the end of the month, the value of the
investment changed by a loss of $17.40.
What was the value, in dollars, of the investment at the end of the month?
Answer:
$36.52
you're welcome :)
please help , giving brainliest and a thanks!!
Answer:
E
Step-by-step explanation:
When the absolute value of a number is trying to be found, you take the number inside and if its a negative it turns to a positive and if its a positive inside then it stays the same.
Answer:
BDE, absolute value is how far away it is from 0 so it is BD and E
Step-by-step explanation:
It says select all that apply aswell which is why there is more then one answer
Data collected on the depth of the Mississippi River and the water discharge are given in the table:
Depth Discharge (ft3)
1.59 63
2.90 97
3.10 123
3.31 254
3.31 398
4.27 550
4.55 583
6.67 603
6.79 655
6.82 726
Find r2, and interpret the results. (4 points)
0.81; The least-squares regression line, given by ŷ = −126.08 + 122.67x, is not a good fit for the data.
0.90; The least-squares regression line, given by ŷ = −126.08 + 122.67x, is a good fit for the data.
0.81; The least-squares regression line, given by ŷ = −126.08 + 122.67x, is a good fit to the data.
0.81; The least-squares regression line, given by ŷ = 122.67 − 126.08x, is a good fit to the data.
0.90; The least-squares regression line, given by ŷ = 122.67 − 126.08x, is not a good fit to the data.
Answer:
C. 0.81; The least-squares regression line, given by ŷ = −126.08 + 122.67x, is a good fit to the data.
A family has two cats named Gordo and Flaco. Gordo weighs 15 pounds and Flaco weighs 8 pounds. A cat’s weight is classified as unhealthy if the weight is located in the top 5% or bottom 5% of all cat weights. The distribution of cat weights is approximately normal with mean 9.5 pounds and standard deviation 1.5 pounds. Which of the following is the best description of Gordo’s and Flaco’s weights?
Answer:
Gordo's weight = 15 pounds
It is outside the healthy weight range and is in the top 5% of weights of cats.
Gordo's weight makes Gordo unhealthy.
Step-by-step explanation:
μ = mean weight = 9.5 pounds
σ = standard deviation = 1.5 pounds
This is a normal distribution problem
We first calculate the limit of the bottom 5% of weights
Let the z-score for this limit be z'
P(z < z') = 0.05
From the normal distribution table,
z' = -1.645
And the limit for the top 5% which is z" = 1.645.
The weight that corresponds to these scores are then calculated.
Standardized scores are given as
z = (x - μ)/σ
So,
z' = (limit for the bottom 5% - μ)/σ
-1.645 = (limit for the bottom 5% - 9.5)/1.5
limit of the bottom 5% = (-1.645)(1.5) + 9.5 = 7.033 pounds
z" = ( (limit for the top 5% - μ)/σ
1.645 = (limit for the top 5% - 9.5)/1.5
limit of the bottom 5% = (1.645)(1.5) + 9.5 = 11.968 pounds
Therefore the healthy weight range for cats is (7.033 < x < 9.968)
Gordo's weight = 15 pounds
It is outside the healthy weight range and is in the top 5% of weights of cats.
Gordo's weight makes the cat unhealthy.
Flaco's weight = 8 pounds
Flaco's weight lies in the healthy weight range for cats. Hence, Flaco is a healthy cat.
Can someone pls gave me an idea for a business letter.
U get brainliest if i like it!
Answer:
Try writing to your teacher, why students should have game time on Fridays.
Step-by-step explanation:
Children at school are getting worried about recent events, but letting kids play Video games will keep their minds more focus on the game, instead of their worries. Plus this can give teachers extra time to plan lessons or just take a relaxing break, teachers deserve it anyways.
Find the inverse of the function y = x2 – 12.
Answer:
y = √ x+12(square root of x+12)
Step-by-step explanation:
x = y^2 - 12
x+12 = y^2
y^2 = x+12
y = √ x+12
Answer:
Question 1. Find the inverse of the function y = x2 – 12.
B. y=+/- sqrt x+12 end sqrt
Question2. Find the inverse of the function y=2x2+2
D. y= +/- sqrt 1/2x-1 end sqrt
Which number line correctly shows 0.8 + 0.3?
Answer:
B
Step-by-step explanation:
Answer:
B. Is the correct way to show the problem.
Step-by-step explanation:
A: The number line is useless. It shows working backwards from the answer. You want to show how the answer was obtained. + goes right - goes left. Not A. This actually shows 1.1 - 0.8 - 0.3
C: C shows 0.8 - 0.3. Remember + goes right - goes left.
D: D is wrong. It shows 0.3 to 1.1 and then 0.3 back to 0.8. You are not doing that.
Performance Matters
Welcome, Sanjay McCall!
Connection Status: G
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Question 3 of 20 -
E
ZahraouiAziz Midterm Geometry Pt 1 2020-2021 Question: 134
A line segment has an endpoint at (4.6). If the midpoint of the line segment is (1,5), what are the.coordinates of the point at the other endorine ne segment?
O (3, 1)
O (-2,4)
O (7.7)
O (5, 11)
Chrome OS. 28m)
Switched network connection
Your connection
has switched td al
Previous
O
Fo
Answer: most likely be (7,7) not sure right or wrong but i tried so yeah
Step-by-step explanation:
Which system matches the graph below?
y = -4 x and y = 2 x - 3
y = -4 x and y = 2 x + 3
y = 4 x and y = 2 x - 3
y = -4 -x and y = 2 x - 3
Answer:
(a)
Step-by-step explanation:
[tex]y= -4^{x}[/tex] and y = 2x - 3
Simplify the expression.
(42 − 2)2
Answer:
80
Step-by-step explanation:
Mrs. Billings has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Mrs. Billings can buy. *
20 points
60≥22x-8
22x+8≤60
22-8x≥60
22+8x≤60
Answer:
I believe the answer is D.
Step-by-step explanation:
22= jeans 8x= 8 dollars PER shirt
All of this has to be less than or equal to $60 because that is all the money she has. I hope this helps!! Please mark me brainliest!!
Answer:
[tex] 22 + 8x \le 60 [/tex]
Step-by-step explanation:
She has at most $60, so the amount she spends is less than or equal to $60.
[tex] amount~she~spends \le 60 [/tex]
The jeans cost $22.
The shirts cost $8 each, so for x shirts, she'll pay 8x.
The total amount she spends is 22 + 8x. It must be less than or equal to 60.
[tex] 22 + 8x \le 60 [/tex]
help again:)!
Mr. Phuong stayed in a hotel room for 2 nights that cost $210. The hotel room tax rate is 12%. What is the total cost for the hotel room?
Answer:
$235.2
Step-by-step explanation:
$210 * (100%+12%)
= $210 * 112%
= $210 * 1.12
= $235.2
Hope this helped!
Answer:
The final answer is $470.40.
Step-by-step explanation:
210 x 2 = $420
To find the final price including tax, we must find 12% of $420.
420 x 0.12 = $50.4
Now, we must finalize the price by adding the tax to the price without tax.
$420 + $50.4 = $470.40
Therefore, the final cost for the hotel room is $470.40.
Hope this helps you out! :)
The solutions to the inequality y ≤ 2x − 4 are shaded on the graph. Which point is a solution?
(−1, 1)
(1, −1)
(3, 2)
(2, 3)
Answer:
it's the point (3, 2)
Step-by-step explanation:
Plug in 3 into x and plug in 2 into y. You will get 2≤2(3)-4. This ends up equalling 2≤2. THis is the answer cuz 2 is equal to or less than 2. :)
Answer:
C.✔(3, 2)
Step-by-step explanation:
E-2021