Answer:
[tex]y=6x-10[/tex]
Step-by-step explanation:
First, we can find the slope using the two given points.
[tex]m=\frac{y2-y1}{x2-x1}=\frac{-22-8}{-2-3}=\frac{-30}{-5}=6[/tex]
Then, we can use the slope we just found and one of the given points to find the y-intercept.
[tex]y=mx+b\\y=6x+b\\8=6(3)+b\\8=18+b\\b=-10[/tex]
And we can put our equation together.
[tex]y=6x-10[/tex]
Hope this helps!
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.
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]
What is (3x2+x-1)(x^4-2x+1)
Answer:
3x^6+x^5-x^4-6x^3+x^2+3x-1
Step-by-step explanation:
Solve the following equation for x.
-4x = 28
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
omg I WILL MARK BRANLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! THIS IS DUE TODAY
PLZ HELP
Answer:
A
Step-by-step explanation:
Its the first letter of the English alphabet
Answer:
Please give more context to what you desire help for.
Given that a minute hand travels through 360 degrees in an hour, how many degrees does it turn in only 23 minutes?
Answer:
138 degrees
Step-by-step explanation:
360 divided by 60 equals 6
every minute equals 6 degrees
23 * 6 equal 138 degrees
Is the order pair 1,2 2,4 3,8 4,16 a function if yes then why
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
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
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
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
Which representation does NOT show Y as a function of X?
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)
20 points, and if you're right I'll give you big brain lol, graph too please!
Answer:
The correct answer would be A I believe
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?
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:
If x = 45, solve for y y = 5/9 x
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
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
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:
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?
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.
learn more about linear equations here :
https://brainly.com/question/11897796
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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
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
To learn more on Sequence click:
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Solve one fifth ÷ 3 = ___.
a one seventh
b one eighth
c one tenth
d one fifteenth
Answer:
1/5 divided by 3 is 1/15
Step-by-step explanation:
Answer:
D. one fifteenth
Step-by-step explanation:
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
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.
What times 2 is -9? plz help
Answer:
-4.5
Step-by-step explanation:
-9/2= -4.5
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
Answer:
B. y = -4. Slope is 0
Pls help ASAP this is due tmr
Answer: "add by>" ; "65>" ; "go" im pretty sure
Step-by-step explanation:
my brain
Multi Step equations 11x+4=37
what is 4h-8h simplified
Answer:
it is -4h
step-by-step explanation:
is Jerome's brother correct?
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:
Please answer this correctly, and you'll recieve brainliest.
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
what 1+6? idk guys really confused
lo que uno más seis. Estoy confundido. ¡¡ayuda!!
Answer:
1+6=7
Step-by-step explanation:
I need help with these questions ( see image for question ).
Please show working.
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√5the difference bettween 2x and 3
Answer:
-6
Step-by-step explanation:
Answer:
3 is a whole number but 2x is 2 multiplied by a variable
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!
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
awnser please thank you
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 the vertex for the equation f (x) = 6(x – 10)2 – 4?
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