examine the graph below. select the solutions to the graph from the following points. select three that apply.
Answers
Answer:
Options (1), (2), (3)
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Here m = slope of the line
b = y-intercept
Given line on the graph is passing through two points (-3, 0) and (0, 1).
Slope of this line will be,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{1-0}{0+3}[/tex]
= [tex]\frac{1}{3}[/tex]
y-intercept of the line 'b' = 1
Equation of the line will be,
y = [tex]\frac{1}{3}x+1[/tex]
If the points given in the options satisfy the equation, they will be the solution of the line.
Option (1),
For (3, 2),
2 = [tex]\frac{3}{3}+1[/tex]
2 = 2
True.
(3, 2) is the solution.
Option (2)
For (21, 8),
8 = [tex]\frac{21}{3}+1[/tex]
8 = 8
True.
(21, 8) is the solution.
Option(3)
For (-15, -4),
-4 = [tex]\frac{-15}{3}+1[/tex]
-4 = -4
True.
(-15, -4) is the solution.
Option (4)
For (12, 9)
9 = [tex]\frac{12}{3}+1[/tex]
9 = 5
False
(12, 9) is not the solution.
Option (5)
For (-6, 1)
1 = [tex]\frac{-6}{3}+1[/tex]
1 = -1
False
(-6, 1) is not the solution.
Therefore, Options (1), (2), (3) are the solutions.
Related Questions
For a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. How much did the family spend on pizza? Fill in the blank with the numerical answer only. The family spent $_______ on pizza.
For a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. How much did the family spend on soda? Fill in the blank with the numerical answer only. The family spent $_______ on soda.
For a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. How much did the family spend in all? Fill in the blank with the numerical answer only. The family spent $_______ in all. *
PLZ PLZ PLZ HELP I WILL GIVE BRAINLIEST PLZ HELP AND READ ALL QUESTIONS REMEMBER GOD IS GOOD.
Answers
Answer:
1) The amount the family spent on pizza is $300
2) The amount the family spent on soda is $43.2
3) The amount the family spent in all is $343.2
Step-by-step explanation:
The number of pizzas bought by the family = 24
The price of each pizza = $12.50
The number of bottles of soda the family bought = 36
The price of each bottles of soda = $1.20
1) The amount the family spent on pizza = 24 × $12.50 = $300
2) The amount the family spent on soda = 36 × $1.20 = $43.2
3) The amount the family spent in all = The amount the family spent on pizza + The amount the family spent on soda
∴ The amount the family spent on soda = $300 +$43.2 = $343.2.
What is the simplest form of the expression (14.2a + 9.8b) – (13.1b – 0.2a) – (3.7a + 4.8b)?
A. 10.7a – 8.1b
B. 10.7a + 27.7b
C. 18.1a - 8.1b
D. 18.1a + 27.7b
Answers
Answer:
A) 10.7a - 8.1b
Step-by-step explanation:
(14.2a + 9.8b) - (13.1b - 0.2a) - (3.7a + 4.8b)
Combine like terms.
(14.2a + 0.2a - 3.7a) = 10.7a
(9.8b - 13.1b - 4.8b) = -8.1b
Answer:
10.7a – 8.1b
Step-by-step explanation:
An arithmetic sequence is represented by the recursive formula A(n) = A(n-1) + 8. If the first term in the sequence is 4, write the explicit formula
Answers
Answer:
A(n) = 4 + 8(n-1)
Step-by-step explanation:
A(n) = A(n-1) + 8
A(1) = 4
So A(2) = A(1) + 8 = 4 + 8
A(3) = A(2) + 8 = A(1) + 8 + 8 = 4 + 8 + 8
A(n) = 4 + 8(n-1)
The explicit formula for the arithmetic sequence with the given recursive formula A(n) = A(n-1) + 8 and the first term A(1) = 4 is A(n) = 8n - 4.
Given that the first term (A(1)) is 4, we can observe that each subsequent term is obtained by adding 8 to the previous term.
The general formula for an arithmetic sequence is A(n) = A(1) + (n-1)d, where A(n) represents the nth term, A(1) is the first term, n is the term number, and d is the common difference.
The first term (A(1)) is 4, and the common difference (d) is 8.
Plugging these values into the general formula, we have:
A(n) = 4 + (n-1)×8
A(n) = 4 + 8n - 8
A(n) = 8n - 4
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What is the equation of the line in slope-intercept form that passes through the point (1,8) and is PARALLEL to line y =
4x - 72
Answers
Answer:
y=4x+4
Step-by-step explanation:
substiute the 1 for the y and the 8 for the x in the form (8=4*1+b)
subtract for so it cancels out on the right and leaves you with 4 on the left equals b on the right.
20 POINTS HELP NOW PLEASE
Answers
Answer:
The relation is a FUNCTION
Step-by-step explanation:
as you can see the value of domain or the x there's no repeating number at all.
Answer:
Not a function
Step-by-step explanation:
(0,3),(3,5) and (0,3),(-6,-2) hit (3,5),(-2,6)
Please answer this correctly, and you'll recieve brainliest.
Answers
Answer:
The first one. The square is bc the diamond is actually a square just switching it's placement. SO IT OS THE FIRST ONE
Molly read 50 out of the 200 pages in her fiction book. Joel is also reading a fiction book, but his book has 280 pages in total. If Joel reads x pages such as the ratio of pages he read is a equivalent to the ratio of pages molly has read, find the value of x.
Answers
Answer:
[tex]x = 70[/tex]
Step-by-step explanation:
Given
Molly: 50 out of 200
Joel: x out of 280
Required
Find x
Start by representing the giving parameters as ration
Molly= 50 : 200
Joel = x : 280
From the question, the ratios are equivalent. So,
[tex]50 : 200 = x : 280[/tex]
Convert to fractions
[tex]\frac{50}{200} = \frac{x}{280}[/tex]
Solve for x
[tex]x = \frac{50}{200} * 280[/tex]
[tex]x = \frac{1}{4} * 280[/tex]
[tex]x = \frac{280}{4}[/tex]
[tex]x = 70[/tex]
Given that a minute hand travels through 360 degrees in an hour, how many degrees does it turn in only 23 minutes?
Answers
Answer:
138 degrees
Step-by-step explanation:
360 divided by 60 equals 6
every minute equals 6 degrees
23 * 6 equal 138 degrees
A graphic artist created the design for a rectangular poster. The design is 12 inches by 9 inches. The poster is 48 inches by 36 inches
What scale factor did the graphic artist use to create the design?
Answers
Answer:
4
Step-by-step explanation:
Step one:
given data
The design is 12 inches by 9 inches.
[tex]length = 12 in\\\\width = 9 in[/tex]
The poster is 48 inches by 36 inches
[tex]length = 48in\\\\width = 36 in[/tex]
Step two:
divide the dimension of the poster by the dimension of the design to get the scale factor
[tex]L= 48/12= 4\\\\W= 36/9= 4[/tex]
Hence the scale factor is 4
Answer:
if im wrong im sorry but i think it is 1/4
Stet is p-by-step explanation:
what 1+6? idk guys really confused
lo que uno más seis. Estoy confundido. ¡¡ayuda!!
Answers
Answer:
1+6=7
Step-by-step explanation:
If x = 45, solve for y y = 5/9 x
Answers
Answer: Let's solve your equation step-by-step.
yy=59(45)
Answer:
y=5 or y=−5
Answer:
y = 25
Step-by-step explanation:
y = 5/9 x, x = 45
y = 5/9 × 45
y = 5 × 5
y = 25
I am doing a science project and need a fun or short title. The project is on whether filtered water affects plant growth. Any creative title ideas? Will give brainliest for best one!
Answers
Heres an idea, ask if you need more :)
Step-by-step explanation:
I Wet My Plants: The Effect of Different Types of Water on the Growth of Plants
what is 4h-8h simplified
Answers
Answer:
it is -4h
step-by-step explanation:
I need help with these questions ( see image for question ).
Please show working.
Answers
Answer:
k = -4 ± 2√5Step-by-step explanation:
#22
Given Equation x² -4x + 1 = k(x - 4) with equal rootsTo findThe value of kSolutionThe equation in standard form is:
x² -4x + 1 = k(x - 4)x² - 4x - kx + 1 + 4 = 0x² - (k + 4)x + 5 = 0When the quadratic equation has equal roots its discriminant is zero
D = 0b² - 4ac = 0(k + 4)² - 4*5 = 0(k + 4)² = 20k + 4 = ± √20k = - 4 ± √20ork = -4 ± 2√5Is the order pair 1,2 2,4 3,8 4,16 a function if yes then why
Answers
Which integer represents 8ºC below 0?
Answers
8ºC below 0 is -8ºC (negative eight degrees celsius).
Below means subtract. 0 - 8 = -8.
Pls help ASAP this is due tmr
Answers
Answer: "add by>" ; "65>" ; "go" im pretty sure
Step-by-step explanation:
my brain
is Jerome's brother correct?
Answers
Answer:
No he is not the 3+3 is incorrect and the 3+2 is incorrect everything after 3+1 is wrong because 3+1=4 correct 3+2 =6 incorrect 3+3=9 incorrect and so on
Step-by-step explanation:
Answer:
The table is wrong its + not x
Step-by-step explanation:
two customers went to a dry cleaners to get clean their shirts and pants. Each shirt cleaning costs the same amount, and each pants cleaning costs the same amount. The first customer paid $30.00 for 5 shirt cleanings and 3 pants cleaning. The second customer paid $29.00 for 3 shirt cleanings and 4 pants cleaning. What was the cost, in dollars, of each shirt cleaning?
Answers
Answer:
$3.00
Step-by-step explanation:
5x + 3y = 30 - - - - - 1 x 4
3x + 4y =29 - - - - - -2 x 3
--------------------------------------------
20x +12y = 120 - - - - 3
9x + 12y = 87 - - - - - 4
--------------------------------------------
3-4
20x - 9x= 120 - 87
11x = 33
X= 33
11
X = 3
The cost of cleaning each shirt is 3 dollars.
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Assuming the cost of cleaning 1 shirt is x and the cost of cleaning 1 pant is y.
The first customer paid $30.00 for 5 shirt cleanings and 3 pants cleaning.
∴ 5x + 3y = 30...(i)
The second customer paid $29.00 for 3 shirt cleanings and 4 pants cleaning.
∴ 3x + 4y = 29...(ii)
Now to cancel out 'x' in both equations we multiply eqn(i) by 3 and eqn(ii) by 5.
So, 15x + 9y = 90...(iii) and 15x + 20y = 145...(iv)
Now subtracting (iii) from (iv) we get 11y = 55 ⇒ y = 5 and substituting the value of y in eqn(iv) we get x = 3.
The cost of cleaning each shirt is 3 dollars.
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Pls help I will give brainliest . The answer choices are
x=45, y=90
x=45, y=25
x=57, y=25
x=57, y=90
Answers
Answer:
The answer is B
Step-by-step explanation:
Answer:
C. x = 57, y = 25Step-by-step explanation:
∠LKU = 1/2∠EKU ⇒ ∠LKU = 1/2(90°) = 45°
(x - 12)° = 45°x = 57°∠KCE = 90° as diagonals of a square are perpendicular
(4y - 10)° = 90°4y = 100°y = 100°/4y = 25°Correct option is C. x = 57, y = 25
What times 2 is -9? plz help
Answers
Answer:
-4.5
Step-by-step explanation:
-9/2= -4.5
A restaurant has 26 tables in its dining room. It takes the waitstaff 10 minutes to clear and set 4 tables. At this rate, how long will it take the waitstaff to clear and set all the tables in the dining room? please hurry
Answers
Answer: 65 minutes
Step-by-step explanation: 26 / 4 = 6.5
6.5 tables per 10 minutes so 6.5 x 10 = 65 min
Answer:
1 hr and 5 minutes
Step-by-step explanation:
here's why... because 4 goes into 26 6 times with a remainder of 2 and there is 5 mins for every 2 tables and 6 times 10 is 60 which equals a hour and that will be a hour and 5 mins
Solve one fifth ÷ 3 = ___.
a one seventh
b one eighth
c one tenth
d one fifteenth
Answers
Answer:
1/5 divided by 3 is 1/15
Step-by-step explanation:
Answer:
D. one fifteenth
Step-by-step explanation:
awnser please thank you
Answers
Answer: [tex]y=\frac{1}{2} x+2[/tex]
Step-by-step explanation:
The format for these equations are y=mx+b. Find the slope, which is the change in y over the change in x. When you apply this formula, you get 1/2. To find the y-intercept, just count from the origin to the place the line meets the y-axis, which is 2. Putting it together, you get the equation [tex]y= \frac{1}{2}x+2[/tex]
What is (3x2+x-1)(x^4-2x+1)
Answers
Answer:
3x^6+x^5-x^4-6x^3+x^2+3x-1
Step-by-step explanation:
Multi Step equations 11x+4=37
Answers
Solve the following equation for x.
-4x = 28
Answers
Answer:
The answer is x=-7
Step-by-step explanation:
hope that helps
To find the x divide both side by -4
-4x = 28
-4x/-4=28/-4
x= -7
What is the vertex for the equation f (x) = 6(x – 10)2 – 4?
Answers
Answer:
(10, -4)Step-by-step explanation:
The vertex form of the equation of quadratic function with vertex (h, k) is:
f(x) = a(x - h)² + q
f(x) = 6(x - 10)² - 4 - given function
so:
a = 6, h = 10, q = -4
question: what are the equation and slope of the line shown on the grid
A. Y=-4
slope Unidentifiable
B. y=-4
slope is 0
C. X=-4
slope is unidentifiable
D. X=-4
Slope is 0
Answers
Answer:
B. y = -4. Slope is 0
Which representation does NOT show Y as a function of X?
Answers
Answer:
D
Step-by-step explanation:
A function is valid if each x input has a different y counterpart
In picture D both 3 and 5 repeat --> (3,2)(2,6) and (5,6)(5,8)
This would create an undefined line that would fail the vertical line test (multiple x values on one y value)