what is the equation of the line shown?
what is the equation of a parallel line with a y-intercept of -1?
Answers
Answer:
y = -⅓x + 1.
y = -⅓ - 1
Step-by-step explanation:
The equation of the line shown can be expressed in slope-intercept form as [tex] y = mx + b [/tex].
b = y-intercept, which is where the line intercepts the y-axis.
The line intercepts the y-axis at 1. Therefore b = 1.
m = slope = rise/run = [tex] {y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{3 - 0} = \frac{-1}{3} = -\frac{1}{3} [/tex].
Substitute b = 1 and m = -⅓ into y = mx + b to get the equation of the line shown. Thus, the equation would be:
y = -⅓x + 1.
The equation of a line with y-intercept (b) of -1 that is parallel to the line shown, would have the same slope as the line shown but different y-intercept.
Thus, the slope of the line shown is m = -⅓, this would also be the slope of the line parallel to it.
Therefore, substitute m = -⅓ and b = -1 into y = mx + b.
y = -⅓x + (-1)
y = -⅓ - 1
The equation of the line with y-intercept big -1 that is parallel to the line shown on the graph, is y = -⅓ - 1
Related Questions
Select all polynomials that have (x + 2) as a factor.
Choose all answers that apply:
A A(x) = x^3– 3x^2 – 10x
B B(x)= x^3+ 5x^2 + 4x
C C(x)= x^3 – 2x^2 – 13x – 10
D D(x) = x^3– 6x² + 11x- 6
Answers
Answer:
A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2) YES
B. (x)= x^3+ 5x^2 + 4x / x (x + 1) (x + 4) NO
C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2) Yes
D. (x) = x^3– 6x² + 11x- 6 / x = (x - 3) (x - 2) (x - 1) NO
Step-by-step explanation:
The solution is:;
A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2)
C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2),
are the polynomials that have (x + 2) as a factor.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.
3x+2x-5, for example, is a polynomial.
EXPLANATION
We want to find which of the given polynomials has (x + 2) as a factor.
To do this, we have to equate (x + 2) to 0 and solve for x:
(x + 2) = 0
x = -2
Now, substitute that into each of the polynomials. If (x + 2) is a factor of a polynomial, the polynomial will become 0 after the substitution is made.
A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2) YES
B. (x)= x^3+ 5x^2 + 4x / x (x + 1) (x + 4) NO
C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2) Yes
D. (x) = x^3– 6x² + 11x- 6 / x = (x - 3) (x - 2) (x - 1) NO
Hence, The solution is:;
A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2)
C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2),
are the polynomials that have (x + 2) as a factor.
Know more about Polynomials here:
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Help pls I need help
Answers
Answer:
3 3/7
Step-by-step explanation:
8/1 divided by 2 1/3 = 8/1 x 3/7
8/1 x 3/7 = 24/7
24/7 = 3 3/7
Mrs. Wright sold t-shirts for $12.00, which was a 30% markup from what she paid for each. How much did Mrs. Wright pay for each t-shirt originally? (remember to round to the nearest hundredth so it looks like money
Answers
Answer:
She originally paid $3.60
Step-by-step explanation:
She originally paid for them $3.60 before the markup of 30%.
We can use this equation [tex]12 x 0.3 = 3.60[/tex] to confirm our answer. We also add a zero at the end because we are using units of money.
Please do all and I’ll mark brainliest!! I’ve added extra points and I really need help ASAP!! Don’t worry about the 3D shape one
Answers
Answer:
Answers in step step-by-step explanation.
Step-by-step explanation:
1. 7
2. 0.3
3. 3
4. x = 50 degree
5. 15 (Sorry I accidentally made the answer to five the answer to six, 15 is the right answer)
6. 10.408125
7. 240
8. -29
9. I think 1/4 but double-check.
10. $5.4
Pens cost $0.20 each. Pencils cost $0.15 each. Write an algebraic expression that represents the total cost of buying p pens and n pencils. (Will give brainliest if correct)
Answers
Answer:
y=0.20p + 0.15n
Step-by-step explanation:
I believe this is correct I am 90% positive that it is right.
The algebraic expression will be C = 0.20 p + 0.15 n
It is given that a pen cost $0.20 and a pencil cost $0.15.
We have to give expression for total cost of p pens and n pencils.
What will be the value if 2 times of x is added to x ?
The value will be 3x.
Cost of 1 pen = $0.20
Cost of p pens will be ;
= 0.20 p
Cost of 1 pencil = $0.15
Cost of n pencils = 0.15 n
If total cost is represented by C then ;
C = 0.20 p + 0.15 n
Thus , the algebraic expression will be C = 0.20 p + 0.15 n
To learn more about algebraic expressions click here ;
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answer this question
will give brainliest
Which of the following is the name for a substance made of two or more types of atoms that are not chemically bonded together? (2 points)
Compound
Mixture
Solute
Molecule
(who wants to talk and whatever)
Answers
Answer:
the correct answer i think is mixture
Step-by-step explanation:
answer the questions lots of points
Answers
Answer:
Radius is half of diameter; the distance around a circle.
Step-by-step explanation:
Answer:
Radius is half of diameter the distance around a circle
PLEASE HELP QUICKLY! 30 POINTS AND WILL MARK BRAINLIEST.
Write a recursive formula for the sequence.
6, 17, 28, 39, 50, ...
A. f(1)-6; f(n)=f(n-1)+11
B: f(1)=6; f(n)=6*f(n-1)+11
C. f(1)=6; f(n)=f(n-1)+6
D. f(1)=6; f(n)=11*f(n-1)
Answers
Answer:
C. f(1)=6; f(n)=f(n-1)+6
Step-by-step explanation:
A man starts out on a trip driving his car at a constant rate of 48 mph. A man riding a motorcycle starts out on the same route 1.5 hours later, traveling at a constant rate of 64 mph. How long will the car have been traveling when the motorcycle catches up?
Answers
Answer:
6 hours
Step-by-step explanation:
Pls help question is in the pic. Please give a right answer thx :D
Answers
Answer:
61.2
Step-by-step explanation:
5. A car travels at a speed of 72 miles per hour. Write a direct variation equation for the distance, y, the car will travel in x hours. How far will the car travels in 4.5 hours?
Answers
Answer:
y = 72x
324miles
Step-by-step explanation:
Given parameters:
Speed of the car = 72miles/hr
distance = y
time = xhrs
Unknown:
Write a direct variation equation for the distance= ?
Distance covered in 4.5hrs =?
Solution:
A. Write a direct variation equation for the distance;
A direct variation is a linear equation.
It often takes the form y = kx
For this problem;
Distance = speed x time
input the parameters;
y = 72x
The direct variation equation is y = 72x
B. Distance traveled in 4.5hrs
y = 72x
x is the time taken;
So;
y = 72 x 4.5 = 324miles
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answers
Answer:
see below
Step-by-step explanation:
shape LNMP is :
translated as 0,-7flip of mirrored along y-axisreflected imaged is ABCD as givenask me a question. any question. ill probably answer it. unless I'm lazy.
Answers
Answer:
What is your fav artist music wise
Step-by-step explanation:
twice the number is equal to 15 more than 5 times the number. What is the number
Answers
Answer:
35 answer
Step-by-step explanation:
I hope it help
Siguiendo la ley de los signos ¿qué signo obtenemos al multiplicar dos signos iguales?
•Suma?
•Menos?
•Positivo?
•Negativo?
Answers
Answer: Si se multiplica un número positivo por uno negativo, el resultado tiene signo negativo. Si se multiplican dos números con signos iguales, el resultado tiene signo positivo
Step-by-step explanation:
Heeelp Asap please
Has to be turned in at 7
Answers
Answer:
I think its 1/2 of the pizza
Step-by-step explanation:
Plz correct me if im wrong
Answer:
its 1/6
Step-by-step explanation:
1/4 of the pizza is left
joe eats 2/3 of the 1/4 which equals 2/12 or 1/6
whats is 183x194??????????
Answers
you could use a calculator or put it into the overlap form
Answer:
35502
Step-by-step explanation:
The product will be 35502, 183x100+183x90+183x4=18300+16500+732=35502. Hope it helps!
Noah walks to school from home by going 7 blocks north, to a post office, and then 24 blocks east. Noah's home, point H, is at (0,0); the post office, point P, is at (0,7); and the school, point S, is at (24,7). If Noah then walks home using the direct path, what would be the total distance Noah traveled to school and back home?
Answers
Answer:
25
Step-by-step explanation:
The total distance Noah traveled to school and back home will be Noah's displacement. Displacement of Noah can be gotten using Pythagoras theorem.
d² = y²+x²
Direction through north (along y-axis)
Direction through east (along x-axis)
Given
y = 7units
x = 24units
Substitute
d² = 24²+7²
d² = 576+49
d² = 625
d = √625
d = 25 units
Hence the total distance Noah traveled to school and back home is 25blocks from post office
1. Miles and Simon do chores to earn an allowance from their parents. Miles has $120 saved and gets a $10 allowance per week. His brother Simon has $75 saved but he does more chores so he gets $15 a week. What is the solution and how did you find it?
How long will it take for them both to have the same amount saved?
How much will they both have when they have the same amount?
Answers
Answer:
120 +10w = 75 + 15w, w=weeks, found by adding savings to rate times and unknown variable of weeks and setting equal to each other. 9 wks, $210
Step-by-step explanation:
120 +10w = 75 + 15w
120-75= - 10w+15w
45=5w
45/5=9
9 weeks
120 + 90 = 75 + 135
210= 210
If f(x) = 2x - 3, find f(-2).
Answers
Answer:
0.5
Step-by-step explanation:
-2 = 2x - 3
1 = 2x
0.5 = x
Answer:
f(x) = -7
Step-by-step explanation:
f(x) = 2x - 3 turs into
f(x) = 2 x -2 - 3
f(x) = -4 - 3
f(x) = -7
If the perimeter of a
square is 60 feet, what is
the area of the square?
Answers
Answer:
225 ft I believe
Step-by-step explanation:
Answer:
225
Step-by-step explanation:
Well, the formula for perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be 2x+2x (since length = width), or 4x . Therefore, if given an area, all you'd do is take the square root (to get from x2 to x , and then multiply by 4 to find perimeter.
In a lab, a substance was heated by 48 Degrees Celsius over a period of 8 hours at a constant rate. what was the change in temperature each hour?
Answers
Answer: The change in temperature each hour was 6 degrees celsius.
Step-by-step explanation: 48 divided by 8 = 6
What is the decimal equivalent of 23/9
A. 25
B. 0.39
C. 2.39
D. 2.55
Answers
2.55
To find a decimal you need to divide y and x (y/x)
What I did was I divided 23/9 and got 2.55555555556. And 2.55 is closest to 2.55555555556.
-x + 7 <10
Solving inequalities
Answers
Answer:
x>-3
Step-by-step explanation:
−x+7<10
Step 1: Subtract 7 from both sides.
−x+7−7<10−7
−x<3
Step 2: Divide both sides by -1.
−x−1<3-1
x>−3
I dont get the question
Answers
Can's box of chocolates is a rectangular prism. The dimensions are 10 inches by 5 inches by 8 inchesEach chocolate in the box is 2 inches by 2 inches by 2 inches. How many chocolates are in Cam's box
Answers
Answer:
I think 50 (not too sure)
Step-by-step explanation:
First find the volume of the Chocolate Box which is 400. (10 · 5 · 8)
Then find the volume of each chocolate which is 8. (2 ·2 ·2)
Then divide 400 by 8 to see how many chocolates can fit.
400 ÷ 8 = 50
And that's how I got the answer! Hope that helped! <3
Will mark brainliest if correct!!!
(Evaluate 3 + 11t - 9u when t = 9 and u = 11)
Answers
Answer:
the answer is 3
Step-by-step explanation:
3 plus 99 minus 99
Answer:
3
Step-by-step explanation:
11 x 9=99
9x11=99
99+3=102
102-99=3
Dan has already written 27 pages,and he expects to write 1 page for every additional hour spent writing . After spending 21 hours writing this week ,how many pages will Dan have written in total ?
Answers
Answer:
48 pages total
Step-by-step explanation:
hope this helps
Her friend comes to the rescue and brings 15 more cups of chocolate chips! How many more muffins will they be able to make with the additional chocolate chips?
Answers
Answer:
Not enough context.
Step-by-step explanation:
Please give us the full question. How many chocolate chips in a muffin?
PLEASE HELP!! Please show me work also!