Find "both answers.
The answer to the different" question is
The answer to the same three questions is
Answers
The slope of the line is 3
The difference between the consecutive term of the sequence is (1, 3)
To get the slope of the graph, we will use the coordinate points (2, 10) and (3, 13)
Slope = 13-10/3-2
Slope = 3/1
Slope = 3
Hence the slope of the line is 3
The difference in the term for the x-coordinate is given as:
x = 3 - 2 = 4 - 3 = 5 -4 = 1The difference in the term for the y-coordinate is given as:
x = 13 - 10 = 16 - 13 = 19 -16 = 3Hence the difference between the consecutive term of the sequence is (1, 3)
Learn more about slope at: https://brainly.com/question/19417700
Related Questions
Is this all correct? Only answer If you know!
Answers
Answer:
Incorrect answers that were corrected:
Line CA is the same as line FD
angle B = angle E
angle C = angle F
Step-by-step explanation:
4. How many mugs could you make with 360 spoonfuls of cocoa mix?
Answers
Answer:
79
Step-by-step explanation:
because i said so
Two-thirds of a number is equal to negative one-fifth. What is the number
answers: -7 1/2, -3/10, -2/15, -3 1/3
Answers
Answer: -7 1/2
Step-by-step explanation:
The required number would be -3/10.which is the correct answer would be option (B).
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
We have been given that two-thirds of a number is equal to a negative one-fifth.
Let the number would be x
According to the given question, the required solution would be as:
⇒ (2/3)x = -1/5
Divided by (2/3) both sides of the above equation,
⇒ (2/3)x/ (2/3) = (-1/5)/(2/3)
⇒ x = (-1/5)/(2/3)
Reciprocal the term in the numerator,
⇒ x = (-1/5) × (3/2)
Apply the multiplication operation, and we get
⇒ x = -3/10
Therefore, the required number would be -3/10.
Hence, the correct answer would be option (B).
Learn more about the number system here:
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Niah has 34 gems and gives 8 to her sister how much does Niah have now?
Answers
Answer:
answer is 26 gems
Step-by-step explanation:
you subtract 8 from 34 and you get 26 as your answer
The graph shows the distance Liam traveled from school in miles (y) as a function of time in seconds (x). The graph is divided into four segments labeled P,Q,R, and S. Please answer fast!
Answers
Answer:
Step-by-step explanation:
P
Answer:
Answer is P
Hope this helps :)
Step-by-step explanation:
After 4 days, a plant is measured to be 10 inches tall. Later, after a total of 20 days, then height is measured to be 18 inches. What is the rate of growth for the plant? This is supposed to be for slopes in Algebra 1.
Answers
Given :
After 4 days, a plant is measured to be 10 inches tall.
Later, after a total of 20 days, then height is measured to be 18 inches.
To Find :
The rate of growth for the plant.
Solution :
We know, rate is given by :
[tex]Rat e=\dfrac{\text{Change in height}}{\text{Time taken}}\\\\Rate = \dfrac{18-10}{20-4}\\\\Rate = 0.5 \ inch/day[/tex]
Therefore, rate of increase of height is 0.5 inch/day .
Hence, this is the required solution.
Write the slope-intercept form of the equation of the line described.
1) through (2, 2), parallel to y=x+4
Answers
Answer:
Slope intercept form: y=mx+b; where m is the slope and B is the y intercept
For 2 lines to be parallel they must have the same slope. Thus, the slope of the new line is going to be 1.
To find the y intercept plug in the slope and the x, y into the equation y=mx+b:
y=mx+b
y=1x+b
2=1(2)+b
2=2+b
0=b
b=0
Now that we have your slope and y intercept we can make the equation:
y=1x+0
y=x
Step-by-step explanation:
It takes 111 pounds of seed to completely plant a 12-acre field.
How many acres can be planted per pound of seed?
Answers
Answer:
0.108 Acres
Step-by-step explanation:
We find the rate by dividing the amount of acres to the pounds
12/111
= 0.108
0.108 acres of land can be planted per pound of seed
Need help on this question! :)
Answers
Answer:
i think it's 42
Step-by-step explanation:
42 tiles
1 figure = +4 tiles
7 figures x 4 tiles = 28 tiles
28 + 14 = 42
The equation of the line with slope -3 that goes through the point (-9,-7) can be written in the form y=mx+b
where m is:
and where b is:
Answers
Answer:y= -9x-25
Step-by-step explanation: Write the slope-intercept form of an equation of the line with slope -9 and passes through the point (-2, -7).
--------
Form:: y = mx + b
Solve for "b"::
-7 = -9*-2 + b
-7 = 18 + b
b = -25
-----
Equation:
y = -9x - 25
---------------
Cheers,
Stan H.
-----------
point slope formula
y-y1=m(x-x1)
y+7= -9(x+2). Notice that we are subtracting a negative, so we have to add.
y+7=-9x-18
y= -9x-25
What is the answer to y=5x
Answers
please help which of the following statements could be a function?
Answers
Answer:
The first one height vs shoe size.
Step-by-step explanation:
Let's evaluate each choice
1) Generally, it is possible that the taller a person is, that his/her shoe size would generally get bigger also. Hence we can say that it is possible that there is a function correlation between height and shoe size.
2) hair length can be cut down short or left long regardless of the height of a person, so we cannot say for sure that hair length correlates with height. Hence this is probably not a function)
3) hair color has no bearing on a persons age. hence this is probably not a function.
4) student ID number doesn't depend on the name of the student. Hence this is probably not a function.
Using f(x) = 5x + 4 and g(x) = x - 3,find: 1. f(g(6)) 2. g(f(-7)) 3. f(f(8)) 4. g(f(x))
Answers
Answer:
Part 1):
[tex]f(g(6))=19[/tex]Part 2):
[tex]g(f(-7))=-34[/tex]Part 3):
[tex]f(f(8))=224[/tex]Part 4):
[tex]g(f(x))=5x+1[/tex]Step-by-step explanation:
Considering the function
[tex]f(x) = 5x + 4[/tex]
[tex]g(x) = x - 3[/tex]
Part 1)
To evaluate [tex]f(g(6))[/tex], you must find [tex]g(6)[/tex]
so
[tex]g(x) = x - 3[/tex]
Put x = 6
[tex]g(6) = 6 - 3[/tex]
[tex]g(6) = 3[/tex]
Then
[tex]f(g(6))=f(3)[/tex]
[tex]=5(3)+4[/tex]
[tex]=19[/tex]
Therefore, [tex]f(g(6))=19[/tex]
Part 2)
To evaluate [tex]g(f(-7))[/tex], you must find [tex]f(-7)[/tex]
so
[tex]f(x) = 5x + 4[/tex]
Put x = -7
[tex]f(-7) = 5(-7) + 4[/tex]
[tex]=-35+4[/tex]
[tex]=-31[/tex]
Then
[tex]g(f(-7))=g(-31)[/tex]
[tex]= (-31) - 3[/tex]
[tex]=-34[/tex]
Therefore, [tex]g(f(-7))=-34[/tex]
Part 3)
To evaluate [tex]f(f(8))[/tex], you must find [tex]f(8)[/tex]
[tex]f(x) = 5x + 4[/tex]
Put x = 8
[tex]f(8)=5(8)+4=40+4=44[/tex]
Then
[tex]f(f(8))=f(44)=5(44)+4=220+4=224[/tex]
Therefore,
[tex]f(f(8))=224[/tex]
Part 4)
Evaluate
[tex]g(f(x))[/tex]
As
[tex]f(x) = 5x + 4[/tex]
[tex]g(x) = x - 3[/tex]
so
[tex]g(f(x))=g(5x+4)[/tex]
[tex]=(5x+4)-3[/tex]
[tex]=5x+4-3[/tex]
[tex]=5x+1[/tex]
Therefore,
[tex]g(f(x))=5x+1[/tex]
Is the statement true? Explain.
Answers
Answer:
The statement is true.
Step-by-step explanation:
We know that line IJ=JK and that line IH=HK. We also know that the two triangles share a side meaning that every side of each triangle is equivalent to each other making them congruent by the Side Side Side postulate.
Trayvon wants to find out if tomato plants produce more tomatoes when they are fertilized. He grows 5 plants with fertilizer and 10 plants without fertilizer, and plans to compare the results. Which is the most appropriate quantity to measure for each group of plants
Answers
Answer:
The most appropriate quantity to measure for each group is the ; Independent variables ( quantity ) and dependent variables ( quantity
Step-by-step explanation:
In this kind of experiment the most appropriate quantity to measure for each group is the ; Independent variables ( quantity ) and dependent variables ( quantity
for plants with fertilizer
Independent variable/ quantity ; quantity of fertilizer applied and other controlled quantity like amount of sun and water
Dependent variable ; Number of tomatoes produced by plant
For plants without fertilizer
Independent variable/quantity ; Absence of fertilizer and other controlled quantity like the amount of sun and water
Dependent variable ; Number of tomatoes produced by plant
Hi . Please I need help with these questions :
See image for question.
Answer no 5 and 6.
Answers
Answer:
(i) √23
(ii) 196√23
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define
Standard Form: x² - 10x + 2 = 0
Step 2: Define variables
a = 1
b = -10
c = 2
Step 3: Find roots
Substitute: [tex]x=\frac{10\pm\sqrt{(-10)^2-4(1)(2)} }{2(1)}[/tex]Exponents: [tex]x=\frac{10\pm\sqrt{100-4(1)(2)} }{2(1)}[/tex]Multiply: [tex]x=\frac{10\pm\sqrt{100-8} }{2}[/tex]Subtract: [tex]x=\frac{10\pm\sqrt{92} }{2}[/tex]Simplify: [tex]x=\frac{10\pm 2\sqrt{23} }{2}[/tex]Factor: [tex]x=\frac{2(5\pm \sqrt{23}) }{2}[/tex]Divide: [tex]x=5\pm \sqrt{23}[/tex]Step 4: Define roots
α > β
α = 5 + √23
β = 5 - √23
Step 5: Evaluate
i
Substitute: [tex]\frac{1}{5-\sqrt{23} } -\frac{1}{5+\sqrt{23} }[/tex]Subtract: [tex]\sqrt{23}[/tex]ii
Substitute: [tex](5+\sqrt{23})^3-(5-\sqrt{23})^3[/tex]Evaluate: [tex](98\sqrt{23} +470)-(470 - 98\sqrt{23} )[/tex]Subtract: [tex]196\sqrt{23}[/tex]Answer:
(i) √23(i) 196√23Step-by-step explanation:
Given equation:
x² - 10x + 2 = 0Roots are:
α and βSum of the roots:
α + β = -b/a ⇒ α + β = -(-10)/1 ⇒ α + β = 10Product of the roots:
αβ = c/a ⇒ αβ = 2/1 ⇒ αβ = 2Finding the following:
(i)
1/β - 1/α =(α - β)/αβ =√(α - β)² / αβ =√((α + β)² - 4αβ) / αβ = √(10² - 4*2) / 2 =√92 / 2 =2√23 / 2 =√23(ii)
α³ - β³ =(α - β)(α² + αβ + β²) =√(α - β)²× ((α + β)² - αβ)√((α + β)² - 4αβ) × ((α + β)² - αβ) =√(10² - 4*2) × (10² -2) =√92 × 98 =2√23 × 98 =196√23The information is in the picture PLEASE HELP ME
Answers
Answer:
The answer is C
Step-by-step explanation:
n^3+4n = 4n+5
n^3+4n + 4n+5
n^3+8n+5
Using the formula z=Kx/y
If z = 6 when x = 3 and y = 4, then what is z when x = 5 and y = 2?
Answers
Answer:
z=kx/y
zy=kx
zy/x=kx/x ( divided both side by x. to find k)
k=zy/x
k=6×4/3(z=6,y=4,x=3)
k=24/3
k=8
so z=kx/y
z=8×5/2(replace the numbers in the place of variables,k=8,x=5,y=2)
z=40/2
z=20
multiply (x+1)^2
a. x^2+1
b. x^2+2x+2
c. x^2+x+1
d. x^2+2x+1
PLEASE HELP
Answers
Answer:
D
Step-by-step explanation:
We have:
[tex](x+1)^2[/tex]
Expand:
[tex]=(x+1)(x+1)[/tex]
Distribute Property:
[tex]=(x+1)x+(x+1)(1)[/tex]
Distribute:
[tex]=x^2+x+x+1[/tex]
Add:
[tex]=x^2+2x+1[/tex]
Hence, our answer is D.
Answer:
d. x^2 + 2x + 1
Step-by-step explanation:
(x+1)(x+1)
use the FOIL method:
x^2 +1x +1x +2
combine like terms 1x and 1x
x^2 +2x +1
The sum of three numbers is 24. Twice the middle number is 2 more than the largest number, and the largest number is equal to the sum of the other two.
Answers
Answer:
x = 5, y = 7, z = 12Step-by-step explanation:
Let the numbers be x, y and z
x + y + z = 242y = z + 2z = x + ySolving by substitution:
x + y + z = z + z = 242z = 24z = 122y = z + 22y = 12 + 22y = 14y = 7z = x + yx = z - y x = 12 - 7 = 5The answer:
x = 5, y = 7, z = 12What is the solution to the equation 9(x + 1)
27? (1 point)
Answers
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[tex]9(x + 1) = 27[/tex]
Divide sides by 9
[tex] \frac{9(x + 1)}{9} = \frac{27}{9} \\ [/tex]
[tex]x + 1 = 3[/tex]
Subtract sides 1
[tex]x + 1 - 1 = 3 - 1[/tex]
[tex]x = 2[/tex]
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a rotation of 270 degrees follows which notation?
(x,y) -> (x, -y)
(x,y) -> (y, x)
(x,y) -> (-x, y)
(x,y) -> (y, -x)
(x,y) -> (-x, -y)
(x,y) -> (-y, x)
Answers
what is the equation a line passes through the points p(2,4) q(-1,3) A y=3x+10 B y=x+10 C -x-10 D y=3x-8
Answers
Answer:
D
Step-by-step explanation:
Ayudaaaa porfavorrr se los suplico me
Answers
I have more questions like this so, if you can do a step by step i would love that!
Answers
y = 2/3x + 2
EXPLANATION:
Write the equation in slope intercept form
y=mx+b
-2x+3y=2
3y=2+2x
y=2/3x+2/3
From the slope intercept form, we know that the slope is m=2/3
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Substitute the slope 2/3 and the point (3,4) in the point slope form: y-y1=m(x-x1) which we get from m=y2-y1/x2-x1
y - (4) = 2/3 • (x-(3))
Simplify it
y - 4 = 2/3 • (x-3)
Solve for y
y - 4 = 2x/3 - 2
y = 2x/3 - 2 + 4
y = 2/3x + 2
What is the value of x in the solution to this system of equations?
3 x - 5 y = 22
y = -5 x + 32
Answers
2) x=-y/5 + 32/5
Based on all of these experiments, what is the maximum height for these plants at 12 weeks?
25 inches
17 inches
23 inches
15 inches
Answers
Answer:
25 inches
Step-by-step explanation:
take the horse to overtake the
17. A car completes a journey at an average speed of 40 km/h. At what
speed must it travel on the return journey if the average speed for the
complete journey (out and back) is 60 km/h?
Help
Answers
Answer:
120 km/hStep-by-step explanation:
Speed in one direction = 40 km/hSpeed on return = xAverage speed = 60 km/hLet the distance be d
Average speed
2d/(d/40 + d/x) = 60d/40 + d/x = 2d/601/40 + 1/x = 1/301/x = 1/30 - 1/401/x = (4-3)/1201/x = 1/120x = 120 km/hPlease help!!! Look at image. Excuse my answers I’m not sure if there right.
Answers
Quotient: 6x+2
Remainder: 20/x^2+3 (20 over x to the power of 2 plus 3)
18-
Quotient: x^2+3 (x to the power of 2 plus 3)
Remainder: 6/4x^2+2 (6 over 4 x to the power of 2 plus 2)
what is 0.34 of 112?
Answers
Answer:
i think its 30.36
Step-by-step explanation:
Answer:
Step-by-step explanation:
112 × 0.34 = 38.08