Answers
Answer:
[tex] y = \frac{1}{4}x + 1 [/tex]
Step-by-step explanation:
Line is passing through the points (0, 1) & (4, 2)
Slope of line = (2 - 1)/(4 - 0) = 1/4
y-intercept (b) = 1
Equation of line in slope-intercept form is given as:
[tex]y = mx + b \\ \\ y = \frac{1}{4}x + 1 [/tex]
Answer:
[tex]y = \frac{1}{4}x + 1[/tex]
Step-by-step explanation:
Slope intercept form allows one to write an equation for a line from only the y-intercept and the slope, so we need to identify those two things.
The slope is simply [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]=>[tex]\frac{2-1}{4-0}[/tex]=> 1/4
The slope intercept is the y value when x = 0, and since we have the point (0,1), the y-intercept must be 1
The equation is: y = mx + b where m is the slope and b is the intercept so the final equation is:
[tex]y = \frac{1}{4}x + 1[/tex]
Related Questions
5. 14,5.13) 1. Amelia has 16 ounces of perfume to divide equally among 3 bottles. How many ounces of perfume will she pour into each bottle?
Answers
Answer:
-16/3 = -5.3333333333
Step-by-step explanation:
The length of a rectangle is 4 inches less than its width and the area is 21 square inches. Find
the smallest dimension of the rectangle.
Answers
How many times does the digit 6 appear in the numbers between 1 to 99 I’m suffering
Answers
Answer:
21 times
Step-by-step explanation:
Answer:
20 Times
Step-by-step explanation:
What is the value? 3/4 + 7/12 - (-4)
Answers
Answer: 3/4 + 7/12 - (-4) = 3/4 + 7/12 + 4 (two minuses make a plus)
3/4 + 7/12 + 4/1 = 9/12 + 7/12 + 48/12 (4 = 4/1 or 4 divided by 1)
(to add the fractions the denominators need to be the same. Multiply both the denominator and numerator by the same number)
(9+7+48)/12 = 64/12 = 5 and 1/3 or 16/3
We can also get this answer by leaving the 4 as a whole number:
9/12 + 7/12 +4 = 16/12 + 4 = 1 and 1/3 + 4 = 5 and 1/3
If you put the sum in a calclator you also get 5 and 1/3.
Hope this helps :)
Johnny Appleseed was creating a fractal tree design:
The first tree, (a1), only has 1 leaf (the green point). The second tree, (a2), has leaves. The third tree, (a3), has 7 total leaves. How many total leaves will be on the 7th tree?
a) 63
b) 127
c) 128
d) 256
Answers
Answer:
The total leaves on the 7th tree is, 127.
Explanation:
Definition of sequence and series:A sequence is defined as a set of integers arranged in a specific order. A series, on the other hand, is defined as the sum of a sequence's elements.
Step by step:
The total leave will be on 7th tree are calculated.
Multiply term 2 and add term 1, to get the next digit.
According, to the question:
[tex]1[/tex]×[tex]2+1=3[/tex]
[tex]3[/tex]×[tex]2+1=7[/tex]
[tex]7[/tex]×[tex]2+1=15[/tex]
[tex]15[/tex]×[tex]2+1=31[/tex]
[tex]31[/tex]×[tex]2+1=63[/tex]
[tex]63[/tex]×[tex]2+1=127[/tex]
Hence, the 7th tree will have a total of 127 leaves.
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3/14 x 2/12 multiply then simplify
Answers
Answer:
1/28
Step-by-step explanation:
6/168=1/28
Answer:
hi
Step-by-step explanation:
I think so...
[tex] \frac{3}{14} \times \frac{2}{12} = \frac{1}{7} \times \frac{1}{4} = \frac{1}{28} [/tex]
hope it helps
have a nice day
Last year, scientists claimed there were 10,000 different species of ants around the world. Since then, the number of different species have decreased by 5.1%. How many different species of ants are estimated currently? Round to the nearest whole number.
help..
Answers
Answer:
9490 species
Step-by-step explanation:
Hope this helps! You take 5.1% of 10,000 which is 510. Then you take 10,000-510= 9490
Answer: there are more than 12,500 species of ants today like right now
Step-by-step explanation:
find which fraction is larger 3/12 ,2/6 ,1/24
Answers
Answer:
3/12
Step-by-step explanation:
Answer:
2/6
Step-by-step explanation:
it is equal to 1/3. The others are equal to 1/4 and 1/24 so 1/3 is the largest
The length of rectangular garden is 3 feet longer than the width. If the area of the garden is 40 square feet, find the length and width of the garden.
The length is _____________ ft
The width is ______________ ft
Answers
Answer:
length = 8 ft
width = 5 ft
Step-by-step explanation:
width = w
length = w + 3
Area of rectangular garden = 40 square feet
length *width = 40
(w + 3) *w = 40
w*w + 3*w = 40
w² + 3w = 40
w² + 3w - 40 = 0
w² + 8w - 5w - 8*5 = 0
w(w + 8) - 5 (w +8) =0
(w + 8) (w - 5) = 0
w - 5 = 0 {Ignore w + 8 =0, as measurement will not be in -ve}
w = 5 ft
l = 5 + 3
l = 8 ft
What is the volume of the right rectangular prism, in cubic centimeters? A prism has a length of 4 centimeters, width of 9 centimeters, and a height of 10 centimeters
Answers
Answer:
360
Step-by-step explanation:
length times width of the base then multiply by the height of the prism.
(4)(9)10
A rocking horse has a weight limit of 60 pounds. What weight is 95% of the limit? *
Answers
Answer:
57
Step-by-step explanation:
60*0.95 = 57
Answer:
57 pounds is 95 percent of the limit.
Step-by-step explanation:
To ship a package, a shipping company charges $1.68 for each pound. How much would it cost to ship a 5.5 pound package?
Answers
Answer:
$9.24
Step-by-step explanation:
1.68÷2=0.84
1.68×5+0.84=9.24
(39-7) divided by 4^2 = ?
Answers
32/16=2
I think the question is straight forward
Answer:
Its 2
Step-by-step explanation:
(39-7) / 4^2
32 / 4^2
32 / 2^4
2^5 / 2^4 divide which gets you
2
Plz help I don't know how to salve the question
Answers
Answer:
24
Step-by-step explanation:
someone please anwser at this point im sad and listening to nirvana
Answers
Answer:
6) 9 3/5
7) 1/50
8) 28/45
Step-by-step explanation:
6) 8÷5/6=8x6/5=48/5=9 3/5
7) 1/5÷10=1/50
8) 7/5÷9/4=7/5x4/9=28/45
Me.Bernstein will cut 8 pies into pieces that are each 1/6 of the whole After he cuts the 8 pies. how many pieces will Mr.Bernstein have
Answers
9514 1404 393
Answer:
48
Step-by-step explanation:
If each piece is 1/6 of the whole pie, then the whole pie has been divided into 6 equal pieces. The number of pieces resulting from 8 pies being cut that way is ...
(8 pies)(6 pieces/pie) = 8×6 pieces = 48 pieces
Solve for x to the nearest degree.
Answers
Answer:
71
Step-by-step explanation:
The square represents 90 degrees.
A triangle’s three angles ALWAYS adds up 180.
To find the missing angle:
180 - 90 = 90
90 - 19 = 71.
Therefore, the answer is 71
Which question is statistical?
A.How many Monarch butterflies live in the stake park?
B.How many of each species of butterflies did you see on your camping trip?
C.How many different species of butterflies are there in the world?
D.How many Monarch butterflies migrated south this year?
Answers
Answer:
i think c
Step-by-step explanation:
Leonard wrote the sequence of numbers below. 9, 15, 21, 27,... Which expression did be use to form the sequence, where n is the term number?
A 3n + 3
B 3n - 3
C 6n+3
D 6n-3
Answers
Answer:
I think they took 3 * 3 is equals to 9
3 * 5 equals to 15
3 * 7 equals to 21
and 3 * 9 equals to 27.
Step-by-step explanation:
can can you realise that they skipped 3 * 4 3 * 6 and 3 * 8 and the difference between 9 and 15 is 6 meaning there's a gap of 6 at each sequence so I guess my answer is 3 and + 3 if it's not if this is not the answer please tell me if it is not matching with your book tell me so that i can ask the people around me. answer 3n + 3
rewrite the function by completing the square. f(x)=x^2-9x+14
Answers
Answer:
f(x)=(x-9/2)²-25/4
Step-by-step explanation:
f(x)=x²-9x+14
f(x)=x²-9x+(-9/2)²-(-9/2)²+14
f(x)=(x-9/2)²-81/4+14
f(x)=(x-9/2)²+(-81+56)/4
f(x)=(x-9/2)²-25/4
Answer:
Step-by-step explanation:
Select all the factor pairs. What are the factor pairs of -144 that add to 0.
Answers
(factoring polinonomials) help help help help help help please:(((
Answers
which of the following sequences of transformation maps MNO onto ABC?
Answers
Answer:
MNO no se estoy en 6th y no se pero esta es mi respuesta espero y me la saco bien
The sequence of transformations T(–2, 4) ry-axis ry-axis T(2, –4) can be used to map triangle MNO onto M"N"O".
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given sequence of transformations is:
T(–2, 4) - translation by (-2, 4)
ry-axis - reflection across the y-axis
ry-axis - reflection across the y-axis
T(2, –4) - translation by (2, -4)
We can check whether this sequence of transformations maps triangle MNO onto M"N"O" by applying each transformation to the coordinates of triangle MNO in order:
T(–2, 4) maps M(5,-4) to M'(3,0), N(3,-2) to N'(1,2), and O(1,-3) to O'(-1,1).
ry-axis reflects M'(-3,0) to M"(-3,0), N'(1,2) to N"(-1,2), and O'(-1,1) to O"(1,1).
ry-axis reflects M"(-3,0) back to M"(-3,0), N"(-1,2) back to N"(-1,2), and O"(1,1) back to O"(1,1).
T(2, –4) maps M"(-3,0) to M'(-1,-4), N"(-1,2) to N"(1,-2), and O"(1,1) to O"(3,-3).
The resulting coordinates M'(-1,-4), N'(1,-2), and O'(3,-3) are the coordinates of triangle M"N"O".
Therefore, the given sequence of transformations T(–2, 4) ry-axis ry-axis T(2, –4) can be used to map triangle MNO onto M"N"O".
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what is the lateral of a cone with 10 yd and 12.1 yd
Answers
Answer:
190.07 yd²
Step-by-step explanation:
Given that :
Base of cone = 10 yards
Height of cone = 12.1 yards
The lateral area of a cone is obtained using the relation :
π × r * l
Where r = Radius = base / 2
l = height of cone
Radius, r = 10/ 2 = 5 yards
Lateral area = π * 5 * 12.1
Lateral area = 190. 0666
Lateral area = 190.07 yd²
The sales tax rate is 5%. If Carmen buys a fountain priced at $329.97, how muchztax will
she pay?
Round your answer to the nearest cent: $
Answers
Answer:
$16.50
Step-by-step explanation:
Take the total price, convert the percentage to a decimal and multiply the two together.
329.97*0.05=16.498
Round to the nearest cent.
$16.50
Answer:
346.47
Step-by-step explanation:
the equation is: 329.97 * 5/100 + 329.97
= 16.4985 +329.97=346.4685
rounding to the nearest cent we get 346.47
If L 1and"2 are parallel lines and l1 has a slope of -2 what is the slope of l2
Answers
Answer:
-2
Step-by-step explanation:
If these two lines are parallel, they have the same slope, which is -2.
ILL GIVE BRAINLEST, tell whether the angles are adjacent or vertical. then find the value of x.
Answers
Answer:
The angles are adjacent and x=100
I don't understand this question like for example what do you do with the $28.00 if it's not in the graph?
Answers
Answer:
Choice C
Step-by-step explanation:
You find the ratio, so every if 4 McDonalds is $28 thats 4:28
You find the unit rate 1:x
divide each side by 4 and the unit rate is 7. Graph c shows cordinate (1,7)
The 25th term of a sequence is 121. The 80th term is 506. What is the first term
Answers
Answer:
-47
Step-by-step explanation:
that's the correct answer
Find Angel C !!!
Thank you
Answers
Answer:
c = 24
Step-by-step explanation:
Angle c is supplementary to 146 and their sum is 180
c + 146 = 180 subtract 146 from both sides
c = 34