The slope-intercept form of the line is [tex]y=\dfrac{1}{4}x[/tex].
Given:
A line passes through the two points [tex](4,1)[/tex] and [tex](8,2)[/tex].
To find:
The slope-intercept form of the line.
Explanation:
The slope-intercept form of a line is:
[tex]y=mx+b[/tex]
Where, [tex]m[/tex] is slope and [tex]b[/tex] is the y-intercept.
The line passes through the two points [tex](4,1)[/tex] and [tex](8,2)[/tex]. So, the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-1=\dfrac{2-1}{8-4}(x-4)[/tex]
[tex]y-1=\dfrac{1}{4}(x-4)[/tex]
Using the distributive property, we get
[tex]y-1=\dfrac{1}{4}(x)+\dfrac{1}{4}(-4)[/tex]
[tex]y=\dfrac{1}{4}x-1+1[/tex]
[tex]y=\dfrac{1}{4}x[/tex]
Therefore, the slope-intercept form of the line is [tex]y=\dfrac{1}{4}x[/tex].
Learn more:
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2 A large water tank holds 600 gallons of water. It is losing water at the rate shown in
the table.
Hours (x)
0
1
2
3
4
Gallons of Water in Tank (y)
600
540
480
420
360
Answer:
its losing 60 gallons an hour
Step-by-step explanation:
If three cards are drawn at random from a standard deck of 52 cards, what is the probability that they will all be queens?
Answer:
0.01809955% or about 0.018%
Step-by-step explanation:
You do the multiplication of 4/52 by 3/51 by 2/50
What is the probability of rolling a 3? ASAP!!!!
Answer:
im sure its [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
hope it helps and Merry Christmas xx
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Proabability = favorable outcomes / total outcomes
A die has a total of 6 possible outcomes: 1 to 6
You want to roll a 3, so the number of favourable outcomes is 1.
[tex]\therefore[/tex] P(3) = [tex]\frac{1}{6}[/tex]
Hope this helps :)
Solve x − y = 5 for y.
Answer:
-y=5-x
Step-by-step explanation:
This oneeeee ty pleaseeee
Answer:
multiple choice?
Step-by-step explanation:
The price of an item yesterday was $140. Today, the price rose to $238. Find the percentage increase.
%
Answer:
216$
Step-by-step explanation:
Answer:
41.2%
Step-by-step explanation:
[tex]Percentage\ change = (\frac{Final\ Price\ - Initial\ Price}{Final\ Price})100\\\\Percentage\ change=(\frac{238-140}{238})100\\\\Percentage\ change=(\frac{98}{238})100\\\\Percentage\ change=(0.412)100\\Percentage\ change=41.2\\[/tex]
So the percentage increase was 41.2%
Order the following numbers from least to greatest (15 Pts)
Answer:
-5.1 , -14/3, -4
Step-by-step explanation:
In the negative side of the numberline -5 is lesser than -14/3 and -4.
Also -14/3 is aproximatedly -4. 6. so its less than -4
Answer:
1. -5.1
2. - 14/3
3. -4
Explanation:
- 14/3 is equal to -4.6 repeating. We can check this by dividing 14 by 3 and adding the negative sign. So -4 is the greatest number of the numbers, and -5.1 is the least since it is the most of the negative numbers. - 14/3 would go in the middle because it isn't greater than -4 nor less than -5.1.
Hope this helps!
I hope I explained well!
ONLY ANSWER IF YOU HAVE SOLUTION OR ELSE U WILL BE REPORTED!
How many five-digit positive integers that are divisible by 3 can be formed using the digits 0, 1, 2, 3, 4 and 5, without any of the digits getting repeating
a) 15 b) 96
c) 216 d) 120
I am pretty confused with this, kindly explain it in detail and get a brainliest too!
Answer:
there are a total of 120 + 96 = 216, 5 digit numbers divisible by '3' that can be formed using the digits 0 to 5.
Which expressions are equivalent to sqrt root of 32x^6
Yes or No
A.(32x^6)^2
B.(32x^6)^1/2
C.x^3sqrt root of 2^5 D.4x^3sqrt root of 2 E.2x^3sqrt root of 2
F.2 2/5 x 2/6
G.2x^3 sqrt root of 8
H.(2^5x^6)^1/2
PLEASE HELP FIRST WILL GET BRAINIEST Thank you for your time! :)
Aaliyah learned to play a total of 16 pieces over the course of 8 weeks of piano lessons. After 10 weeks of piano lessons, how many total pieces will Aaliyah be able to play? Solve using unit rates.
Answer:
20
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
:P
helppppp pleaseeeeeeeeeeeeeeeeeeeee
Answer:
Communicative property is the third one second one is assositave and first one is distributive
Step-by-step explanation:
0=(2y−1)(8−y) Let y=u, y=d. What is the value of u×d
Answer:
The value of uxd=4
Step-by-step explanation:
since y=u, y=d, y=y
y=1/2 and 8
2y-1=0
2y=1
y=1/2
8-y=0
8=y
1/2*8=4
Answer:
4
Step-by-step explanation:
0=(2y−1)(8−y)
Using the zero product property
2y-1 =0 8-y =0
2y =1 8=y
y =1/2 y= 8
Let y=u, y=d
u = 1/2 d = 8
We want the value of u*d
u*d = 1/2 *8 = 4
anyone know? plz help any oen
Consider the polynomial function
g(x) = -x^4 + 2x^3 + 5x^2 – 1.
What is the end behavior of the graph of g ?
Answer: as x > infinity, g(x)> - infinity and as x> - infinity, g(x)> - infinity
Step-by-step explanation:
Left and right ends of the given poynomial function will fall downwards (towards negative infinity).
End behavior of a polynomial: If a polynomial function is f(x) = ax⁴ + bx³ + cx² + dx + eLeading coefficient → a
Degree of the polynomial = 4
If the degree is even and leading coefficient is negative (-), left end and right ends fall downwards.Given in the question,
Poynomial function → g(x) = -x⁴ + 2x³ + 5x² - 1
Degree of the polynomial = 4 (even)
Leading coefficient = -1 (negative)
Therefore, left end of the graph will fall downwards (towards negative infinity) and the right end of the graph will fall downward (towards negative infinity).
Learn more about the end behaviour of a polynomial here,
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The demand for Titos Tacos increased so much that Tito has decided to increase his prices by 10%. Write a single term expression that represents the new price of one of Titos Tacos if the original price was t dollars
Answer:
Concept: Mathematical Representation
They increased their price by 0.10Let y be the new price of one of Titos TacosLet t be the original price Hence y= t * 0.10A baker is putting cupcakes on trays to cool. She put 2 cupcakes on the first tray, 4 cupcakes on the second tray, 8 cupcakes on the third tray, 16 cupcakes on the fourth tray, and 32 cupcakes on the fifth tray. If this pattern continues, how many cupcakes will the baker put on the sixth tray?
Answer:
64 cupcakes
Step-by-step explanation:
Tray 1 = 2 cupcakes
Tray 2 = 4 cupcakes
Tray 3 = 8 cupcakes
Tray 4 = 16 cupcakes
Tray 5 = 32 cupcakes
Tray 6 = ?
This is a geometric progression
First term, a = 2
Common ratio, r = 4/2
= 2
6th term = ar^n-1
= 2 × 2^6-1
= 2 × 2^5
= 2 × 32
= 64
The 6th tray will have 64 cupcakes
You are making a salad. The ratio of olives to croutons is 5 : 3. You put 12 croutons in your salad. How many olives do you put in your salad?
Answer:
20
Step-by-step explanation:
12/3 (the number of croutons) = 4
Since 4 is your base number, you would multiply 4 x 5.
20 olives
Answer:
20
Step-by-step explanation:
Ratio of olives : croutons is 5 : 3.
If you put 12 croutons, you put 4 times the amount of croutons in the ratio since 12/3 = 4.
That means you must also put 4 times the number of olives.
4 * 5 = 20
Answer: 20
Derek's truck used 8 gallons of gasoline to travel 320
miles. How far can Darek travel with 1 gallon of gas?
Answer:
40 miles
Step-by-step explanation:
8 gallons = 320 miles
1 = ?
320 miles / 8 gallons = 40
Derek's truck can drive 40 miles on 1 gallon
Answer:
40 miles
Step-by-step explanation:
320/8=40 miles
PLEASE HELP FAST WHAT IS THE ANSWER FOR THIS QUESTION I WILL GVIE BRAINLIST AND EXTRA POINTS FOR CORRECT ANSWER THANKS!!
Answer:
f(2) = -3
Step-by-step explanation:
This is the answer because:
1) The question is basically asking what the y-cordinate is.
2) In order to find the y-cordinate, look at the graph and find where 2 is on the x-axis. Then, see wheree the y-coordinate is on the same line a the x-cordinate which is 2.
3) When you line up the cordinates, you can see that where x is 2, y is -3.
Therefore, the answer is -3.
Hope this helps! :D
Help please:):):):):):)
do eat popcorn in a tub
:)
poopy face
f(2)=-2 and f(1)=1 write a linear function
Answer:
[tex]f(x) = -3x+4[/tex]
Step-by-step explanation:
We can use the form [tex]y=mx+b[/tex] to find the linear function.
From [tex]f(2)=-2[/tex] , we can write:
[tex]-2=2m+b[/tex]
From [tex]f(1)=1[/tex] , we can write:
[tex]1=m+b[/tex]
To find for [tex]m[/tex], we can substract the second equation from the first:
[tex]2m+b-(m+b) = -2-1[/tex]
[tex]2m+b-m-b=-3[/tex]
[tex]m=-3[/tex]
To find for [tex]b[/tex], we can use substitution:
[tex]1 = m+b[/tex]
[tex]1 = -3+b[/tex]
[tex]b=4[/tex]
∴ [tex]f(x) = -3x+4[/tex] is the linear function.
Hope this helps :)
Pauline eats 75% of the total candies in the goodie bag. she eats 21 candies. enter the number of candies in paulines goodie bag
Answer:
75% is = to 3/4 and 21/3= 7 and 7*4= 28 so there's 28 candies in the bag
Step-by-step explanation:
12/4 - 1 3/4 can someone please help?
Answer:
1.25 other words 1 1/4
Step-by-step explanation:
So I what I did was turn them into decimals: 12/4= 3 and 1 3/4= 1.75. So then I just subtracted 3 from 1.75 which equals 1.25 which is the same as 1 1/4
hope this helps! (lmk if have further questions)
algebra/algebra 2
The metric unit of force is the Newton (N) , which is kg⋅m/s2 .
Convert 10 kg⋅cm/s2 to Newtons.
1×10−1 N
1×10−2 N
1×10−5 N
1×10−6 N
Answer:
B
Step-by-step explanation:
If it’s right can you mark me brainliest ty
The conversion of 10 kg⋅cm/s2 in Newton is 1×10−1 N so option (A) will be correct.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.
Another example could be kilo gram to gram.
Given the metric unit of force,
10 kg⋅cm/s²
Since,
1 meter = 100 cm ⇒ 1 centimeter = 0.01meter
So,
10 kg⋅cm/s² = 10 kg (0.01)m/s²
10 kg⋅cm/s² = 10 × 0.01 kg m/s²
10 kg⋅cm/s² = 1×10−1 kg m/s²
Since,
kg m/s² = Newton (N)
So,
10 kg⋅cm/s² = 1×10−1 N
Hence "The conversion of 10 kg⋅cm/s2 in Newton is 1×10−1 N ".
To learn more about unit conversion,
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PLEASE HELP ASAP!!!!!!!!!!!!!!!!
Answer:
25
Step-by-step explanation:
180-130=50
50/2=25
Answer:
x = 25 degrees
Step-by-step explanation:
the figure is an isosceles triangle
x + x + 130 = 180
2x + 130 = 180
2x = 180 - 130
2x = 50
x = 25 degrees
i put $100 in a savings account at v% yearly interest. How much money will i have in my account at the end of the year
Complete question :
i put $100 in a savings account at v% yearly interest. How much money will i have in my account at the end of the year
Answer:
100 + v
Step-by-step explanation:
Given that:
Interest yearly = v%
Amount deposited = principal = $100
Amount earned at the end of the year:
A = P(1 + rt)
A = 100(1 + 0.01v)
A = 100 + v
Where A = final amount
Final amount at the end of the year = 100 + v
If I can read 54 pgs in 3 days, how many can I read in 1 day?
Answer:
18
Step-by-step explanation:
so all you have to do is divide 54 by 3
Which decimal is equivalent to Nine-elevenths?
0.0911
0.8
0.81
0.911
hey! the correct answer is 0.81
hope it helps :)
Answer:
Your correct answer 100 percent is option C, 0.81 hundredths. Hope this helps! :)
Step-by-step explanation:
Elevate the expression
(28-21) to the 2 power
Help!
Answer:
49
Step-by-step explanation:
28-21=7
7 to the power of two is the same as 7(7)
7(7)=49
There are 30 students in Ms. Prema's history class. 18 of these students turned in an extra credit project at the end of the semester.
Answer:
12 students didnt turn in a extra credit project at the end of the semester.
Step-by-step explanation: