Answers
Answer: y = 4x + 2
Step-by-step explanation:
A linear equation is usually in y= mx + b form, where m is the slope and b is the y-intercept.
In order to calculate the slope, we choose two-point from the graph. (-1 ,-2) and (0, 2).
slope = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]
= (2 - (-2)) / (0 - (-1))
= (2 + 2) / (0 + 1)
= 4 / 1
= 4
y-intercept means the y value when x is 0, according to the graph, the y value when x at 0 was 2. So the y-intercept is 2.
Plug both slope and y-intercept in, we get the equation:
y = 4x + 2
Answer: y = 4x + 2
Step-by-step explanation:
Related Questions
You and your friend are selling magazine subscriptions for a fundraiser after W weeks if you have sold (4w+1) subscriptions and your friend has sold (8w+6) subscriptions
Answers
Answer:
(4w+1)-(8w+6)
Step-by-step explanation:
Hope this helps :)
What is the least common multiple (lcm)of 2,3, and 6
Answers
Explanation:
List list the multiples of each value
multiples of 2 = {2, 4, 6, 8, 10, ...}multiples of 3 = {3, 6, 9, 12, 15, ...}multiples of 6 = {6, 12, 18, 24, ...}In each list, we see 6 show up. This is the smallest multiple that is in common; therefore, the LCM is 6
Side note: The LCM is useful to help add and subtract fractions.
Given $P(10,12)$ and $Q(20,36)$, find the coordinates of a point whose distance from both $P$ and $Q$ is exactly $13.$
Answers
The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)
The distance between points, P and Q can be evaluated by the Pythagoras theorem as follows;
Distance, PQ = √(20-10)² + (36-12)²PQ = √(100+576)PQ = √676PQ = 26.Therefore, a point whose distance from both P and Q is exactly 13 is the midpoint of PQ.
Therefore,
x = (20 + 10)/2x = 15y = (36 + 12)/2y = 24.The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)
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The tables of ordered pairs represent some points on the graphs of two lines. What is the solution to the system of equations represented by the two lines?
Answers
Answer:
(-9, 5)
Step-by-step explanation:
1. Find the equations of both lines (y = mx +b).
For the table on the left, we can see that the y-intercept is 23 (at x=0, y=23). Hence, b = 23. We can also see that the y-value for the left table increases by increments of 2, meaning that the slope (m) will be 2. Thus:
f1(x) = 2x + 23
For the right table, do the same thing. The table tells us that when x = 0, y = -58 (so b = -58). We also see that the y-value DECREASES in increments of 7, meaning that the slope, m = -7. Thus,
f2(x) = -7x - 58
2. Set the equations equal to each other to find the x-value at which the two equations will intersect.
2x + 23 = -7x - 58
9x = -81
x = -9
3. Plug your newfound x-value into any of the two equations to find the y-value at which both equations will intersect.
y = 2x + 23
y = 2(-9) + 23
y = 5
OR
y = -7x - 58
y = -7(-9) - 58
y = 5
ANSWER: At the point (-9, 5), the two lines intersect. Hence, the solution to the equation is (-9, 5).
Answer:
x = -9 and y =. 5
Step-by-step explanation:
(-2, 19) and (-1, 21)
Slope: (21-19)/(-1- -2) = 2
y-intercept = 21 - (2)(-1) = 23
a) y =2x + 23
(-2,-44) and (-1,-51)
Slope: (-51- - 44)/(-1- -2) = -7/1 = -7
y-intercept: -44-(-7)(-2)=-58
b) y = -7x - 58
Substitute y in equation a.
-7x-58 = 2x + 23
-9x = 81
x = -9
Substitute X by -9 in equation b: y = -7(-9) - 58= 5
y = 5
5y+40z what is the factor
Answers
Answer:
the factored form is 5(y + 8z)
Step-by-step explanation:
Because 5 divides evenly into both 5y and 40z, the GCF is 5 and the factored form is 5(y + 8z)
Find the slope of the line represented by the data below x| 0 2 4 6 8
y|15 9 3 -3 -9
Slope=[?]
Answers
Answer:
it's answer is 10/-15.........
dose anyone know how to solv ethis??
Answers
no[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Instantaneous velocity of particle at 2 minutes is ~
[tex]1 \: \: m/s[/tex]Refer to the attachment for solution ~
solve pls brainliest
Answers
Answer:
5/2
Step-by-step explanation:
please mark me brainiest
1/10 = 10%
a percent is
[tex] \frac{part}{whole} = \frac{x}{100} [/tex]
If u take 1/10, 10 is one tenth of 100 (10*10=100).
solve for c 11=-1-c/2 and have a bless day
Answers
c=-24.
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solve for x:
4x-14=-2x+24
Answers
Answer: 6 1/3
Step-by-step explanation:
4x-14 = -2x+24
4x = -2x+24 + 14 [Add 14 to both sides]
4x + 2x = 24 + 14 [Add 2x to both sides]
6x = 38 {Combine like terms]
x = (19/3) or 6 1/3
1. Write the following statements in the from of equations. a. One third of a number plus 7 is 26
pls tell step by step
Answers
Answer:
1/3x+7=26
Step-by-step explanation:
1/3 of a number which could anything so mark as X
add 7
equals 26
1/3x+7=26
This is not urgent, so thank you even if you don’t help.
Answers
Answer:
(1/2) and 9/10
Step-by-step explanation:
[tex]\dfrac{1}{2}+\dfrac{9}{10}=\dfrac{1*5}{2*5}+\dfrac{9}{10}\\\\\\=\dfrac{5}{10}+\dfrac{9}{10}\\\\=\dfrac{14}{10}\\\\=\dfrac{7}{5}\\\\=1\dfrac{2}{5}[/tex]
Given the graph below, which of the following could be the quadratic equation?
A.
[tex]3(x + 2 {)}^{2} + 5[/tex]
B.
[tex] - {x}^{2} + 8x + 18[/tex]
C.
[tex] - 2(x - 3 {)}^{2} + 1[/tex]
D.
[tex] {x}^{2} - 8x + 18[/tex]
Needs to be answered quickly
Answers
Answer:
only D as the correct answer
Step-by-step explanation:
The correct quadratic could not be B or C, because the negative sign in each indicates that the parabola opens down, which is not what we see here.
A is not appropriate either, because of the (x + 2)^2; that + sign tells us that the vertex lies 2 units to the left of the y-axis.
This leaves only D as the correct answer.
solve the proportion (someone pls help)
Answers
3x=2x+8+15
3x=2x+23
3x−2x=23
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.
Brad and Laura are playing a board game. In the game, a player rolls two standard number cubes to move his or her game piece along
a path on the board. On the first three turns in the game, both number cubes land on six each turn.
The theoretical probability of rolling a six on both number cubes three times in a row is 1/?
(are/ are not)
Based on the probability of rolling a six on both number cubes three times in a row, Brad and Laura
likely using unfair number cubes.
Answers
Answer:
1/46,656 and Brad and Laura ARE like using unfair number cubes.
Step-by-step explanation:
What is the slope of this line?
−15
15
5
−5
Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 5 comma 3 end ordered pair
Answers
Step-by-step explanation:
if I understand your text right, we are looking at the line going through the points (0, 2) and (5, 3).
the slope is in a line equation always the factor of x.
anyway, it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.
so, we are simply going from (0, 2) to (5, 3).
x changes by +5 (from 0 to 5).
y changes by +1 (from 2 to 3).
so, the slope is y/x = 1/5.
Answer:
B. [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answers
Answer:
3a+ 16
Hope this helps!
10. The perimeter of a rectangular field is 100 ft and its width is 20 ft. Find
the length and the area of this rectangular field.
Answers
Answer:
Length is 30ft, area is 600ft squared
Step-by-step explanation:
The sides of a triangle are in the ratio 4:4:3.What kind of triangle is it
Answers
Answer:
Isosceles triangle. An Isosceles triangle is a triangle that has 2 equal sides and 2 equal angles
Step-by-step explanation:
Jason gets 15 gallons of gas at $3.90 a gallon. 15 gallons gives him 20 miles to the gallon. How many miles can Jason travel on 1 tank of gas?
Answers
I need help with these questions
Answers
Answer:
segment addition postulate
the second answer is true
Step-by-step explanation:
my teacher taught me this recently
Which statement describes the system of equations? The system has infinitely many solutions. The system has no solution. The system has one solution The system has one solution
Answers
Factor completely:
–abc –5ac –4ab –20a
Answers
Answer:
[tex]-a(b+5)(c+4)[/tex]
Step-by-step explanation:
[tex]-abc-5ac-4ab-20\\-a(bc+5c+4b+20)\\-a*c(b+5)+4(b+5)\\-a*(b+5)(c+4)[/tex]
The factor of the given expression is -a(b+5)(c+4)
What is factorization?Factorization in maths is the process of breaking down a number or a mathematical object into smaller or simpler factors that can be multiplied together to get the original number or object
Given is an expression, –abc –5ac –4ab –20a, we need to factor it completely,
-abc -5ac-4ab-20
- a(bc +5c+4b+20)
- ac(b+5)+4(b+5)
- a(b+5) (c+4)
Hence, the factor of the given expression is -a(b+5)(c+4)
Learn more about factorization, click;
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8. The sum of two numbers is 52. Find the larger number if their ratio is 1: 3.
Answers
Answer:
39
Step-by-step explanation:
Lets solve for x:
We know the ratio is 1:3
1x+3x = 52
4x = 52
x = 13
Since the ratio is 1:3:
13(3) = 39
13:39
Which makes 39 the larger number
divide 75 liters in the ratio 12 8 5
Answers
Answer:
According to the question,
[tex]12x + 8x + 5x = 75[/tex]
_____________________
[tex]12x + 8x + 5x = 75[/tex]
[tex]25x = 75[/tex]
[tex]x = \frac{75}{25} [/tex]
[tex]x = 3[/tex]
Now,
[tex]12x = 36[/tex]
[tex]8x = 24[/tex]
[tex]3x = 15[/tex]
So,
75 in the ratio of 12 : 8 : 5 is
36, 24 and 15
Answer:
36 : 24 : 15
Step-by-step explanation:
sum the parts of the ratio, 12 + 8 + 5 = 25 parts
Divide the quantity by 25 to find the value of one part of the ratio
75 l ÷ 25 = 3 l , then
12 parts = 12 × 3 = 36 l
8 parts = 8 × 3 = 24 l
5 parts = 5 × 3 = 15 l
a function, f(x)=4x+5, has a domain 0<=x<=50. What is the range? How do you do this??
Answers
Step-by-step explanation:
remember the domain is the interval or set of valid input (x) values. the range is the interval or set of the valid result (y) values.
so, the given domain tells us the interval to look at.
what are the functional values of the function between 0 and 50 ?
since the function is continuous (there are no gaps) in this interval, we can safely assume that all values between f(0) and f(50) are valid y values.
f(0) = 4×0 + 5 = 5
f(50) = 4×50 + 5 = 205
so, the range is 5 <= y <= 205
To reach his office on time, Mr Chin usually drives to work at an average speed of 75 km/h. However, if Mr Chin increases his average driving speed by 5 km/h, he will reach his office 10 minutes earlier. If the distance Mr Chin needs to travel to reach his office is represented by x km, form an equation in x and solve for x.
Answers
Answer: x = 200 km
Step-by-step explanation:
Distance(x) = Speed(s) x Time(t)
t is in hours
x=s*t
At 75km/h: 75*t = x
At 80km/h: 80*(t-(10/60)) = x [the -(10/60) is the 10 minutes saved, in hours]
We know the distance, x, is the same, so we can set these equal to each other:
75*t = 80*(t- (10/60))
75*t = 80*t - 13.3333
-5*t = -13.3333
t = 2 2/3 hours
Both situations should give the same distance with 2 2/3 and 2 2/3 - :
x = (75 km/hr) x ( 2 2/3 hr)= 200 km
x = (80 km/hr) x (2 2/3 - 1/6 hr) = 200 km
13. Rachel is building a book shelf. The wood she is using is sold in sections that are 8 feet long and 16 inches
wide.
All of the boards Rachel needs will be 16 inches wide.
She needs 5 boards that each measure 48 inches long,
She needs 2 boards that each measure 32 inches long.
What is the minimum number of 8 foot sections of wood Rachel will need to make the book shelf?
.
.
A. 3
B. 4
C. 6
D. 7
Answers
solve the equation −4(m+6)=−8
Answers
.,........................
8.3g of sugar is needed for every cake made. How much sugar is needed for 5 cakes?
Answers
Answer:
41.5g of sugar
Step-by-step explanation:
8.3 x 5