Answers
Answer:
The equation of the line fully simplified slope-intercept form:
[tex]y\:=\:\frac{5}{3}x-5[/tex]Step-by-step explanation:
We know the slope-intercept form of the line equation is
[tex]y = mx + b[/tex]
where m is the slope and b is the y-intercept
Given the points on the line
(0, -5)(3, 0)Finding the slope between the points (0, -5) and (3, 0)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:-5\right),\:\left(x_2,\:y_2\right)=\left(3,\:0\right)[/tex]
[tex]m=\frac{0-\left(-5\right)}{3-0}[/tex]
[tex]m=\frac{5}{3}[/tex]
We know the y-intercept can be determined by setting x = 0 and solving for y.
From the graph, it is clear that
at x = 0, y = -5
Thus, the y-intercept = b = -5
now substituting b = -5 and m = 5/3 in the slope-intercept form
[tex]y = mx+b[/tex]
[tex]y\:=\:\frac{5}{3}x+\left(-5\right)[/tex]
[tex]y\:=\:\frac{5}{3}x-5[/tex]
Thus, the equation of the line fully simplified slope-intercept form:
[tex]y\:=\:\frac{5}{3}x-5[/tex]Related Questions
Select the correct answer.
What is the zero of function f?
A. x= 1
B. x= -3
C. x= 9
D. x= -1
Answers
Explanation:
The zero of the given function f(x) is x = 1. The correct answer is an option (A).
To find the zero of the function f(x) = 3√(x + 3) - 6, we set the function equal to zero and solve for x:
3√(x + 3) - 6 = 0
Adding 6 to both sides:
3√(x + 3) = 6
Dividing both sides by 3:
√(x + 3) = 2
Squaring both sides to eliminate the square root:
x + 3 = 4
Subtracting 3 from both sides:
x = 1
Therefore, the zero of the function f(x) is x = 1.
Thus, the correct answer is A.
Learn more about the functions here:
brainly.com/question/12431044
#SPJ4
The complete question is as follows:
What is the zero of function f?
f(x)=3√(x+3)-6
A. x= 1
B. x= -3
C. x= 9
D. x= -1
HELP FAST
An account earns annual simple interest.
Find the balance of the account.
$2000 at 9% for 6 months
Answers
Answer:
3000
Step-by-step explanation:
2000 x 9 = 18000
18000 divided by 6 is 3000
The answer would be 3,000
i don’t understand pleas hell
Answers
Answer: x = 40
Step-by-step explanation:
4= x/-4 + 14 Remember that in front of every variable there is a number 1.
4 = - 1/4x + 14 subtract 14 from both sides
-14 -14
-10 = -1/4x Divide both sides by -1/4
x = 40
PLEASE HELP HELP HELP HELP
Answers
Answer:
bro r u good its .77
Step-by-step explanation:
Answer:
the first answer is 2.37, and the second one is 12.21
Step-by-step explanation:
(1 point) 1. The height (in feet) and volume of usable lumber (in cubic feet) of 32 cherry trees are measured by a researcher. The goal is to determine if volume of usable lumber can be estimated from the height of a tree. The results are plotted below.(a) In this study, the response variable isA. neither height nor volume. The measuring instrument used to measure height is the response variable.B. height or volume. It doesn't matter which is considered the response.C. volume.D. height.
Answers
Answer:
C. volume
Step-by-step explanation:
The response variable in this scenario would be the volume of the usable lumber. That is because this variable depends completely on the height of the cherry trees that are being measured. The higher that the cherry trees are the more volume can be expected to get from cutting these trees down. The opposite goes for trees that are smaller, they would decrease the total expected volume that will be received from the usable lumber since there would be less amount of tree to cut down.
Help me pleaseeeeeee.
Answers
Step-by-step explanation:
1. x = 1/2 or 3
2. x = 3 or 2
plz mark my answer as brainlist plzzzz vote me also
Kelsey jog 60 feet in 6 second what is thus rate in miles per hour round to the nearest tenth
Answers
Answer:
0.1mph
Step-by-step explanation:
I plugged in the equation into a ratio(m=miles); 60/m*5280/1 =0.01*10 = 0.1 I basically just plugged and chungged all the numbers.
PLEASE HELP IN ONE MINUTE. WILL MARK BRAINLEST
Answers
Answer:
20 + 2x = y
Step-by-step explanation:
The rate of change of the function in the graph is that of the function in the table by unit(s).
Answers
Answer:
The rate of change of the function of the graph is more than that of the function in the table by 4 unit (s)
Solve for z. Assume the equation has a solution for 2. -p: (8 + x) = -22 +59 Anybody?
Answers
Answer:
z= pd + 59 / (2-p)
Step-by-step explanation:
-p (d+z) = -2z +59
-pd - pz = -2z +59
-pz +2z = pd +59
z ( 2-p) = pd + 59
z= pd +59 / (2-p)
if you comment something random for points ur getting reported
Answers
V = (lwh)/3
V = (5*5*3)/3
V= 25 in^3
then we’ll find the area of the cube
V = lwh
V= 5*5*5
V= 125 in^3
we add 25+125
the volume of the form is 150 in^3
Answer:
150 in
Step-by-step explanation:
Alicia runs for exercise. If Alicia runs 32 miles in six days, how many feet does she run per day?
Answers
Answer: 192
Step-by-step explanation:
32x6=192
Sorry if I’m wrong
HELP URGENT!!!!
Find the equation of the line. Use exact numbers.
y=( )x + ( )
Answers
A rectangular room is 12 1/2 feet long and 10 1/3 feet wide. What is the area of the room?
Answers to choose from:
A 22 5/6 square feet
B 120 1/6 square feet
C 120 1/3 square feet
D 129 1/6 square feet
Answers
Answer:
D. 129 1/6 square feet
Step-by-step explanation:
L x W = A is the equation used to solve for the area of quadrilaterals
When we substitute the values of L and W for what the length and width actually are, we end up with the equation 12 1/2 x 10 1/3 = A.
Now you just need to multiply the length and width which will give you 129 1/6 square feet.
(sorry if this is confusing but I hope it helped)
what is 555/74?
Thank YOU!
Answers
Answer:
7.5
Hope this helps! :)
What is the solution to the equation 5.6 + n = 15?
4.4
9.4
20.6
71
Answers
9,4=n
The anser is 9,4
Answer:
9.4
Step-by-step explanation:
An easy way to solve this is to subtract 5.6 from 15, which equals 9.4
On a coordinate grid, point P is at (7, 2) and point R is at (−3, −6). Points Q and S are a reflection of both points across the x-axis. What are the coordinates of Q and S? (1 point) Q(−7, 2), S(3, −6) Q(−7, −2), S(3, 6) Q(−7, 2), S(−3, 6) Q(7, −2), S(−3, 6)
monkey questions
Answers
Answer:
If we use point P as point Q and point R as point S, the answer would be:
Point Q = (-7,2)
Point S = (-3,6)
Step-by-step explanation:
Hope this helps
Solve the following problem. Be sure to show all steps (V.E.S.T.) and work in order to receive full credit.
The sum of three numbers is 26. The second number is twice the first and the third number is 6 more than the second. Find the numbers.
Answers
Answer:
The numbers are 4, 8 and 14
Step-by-step explanation:
Required
Determine the three numbers
We start by declaring the variables
Let the three numbers be [tex]x,\ y\ and\ z\ respectively[/tex]
Next, we write the relationships between the numbers
[tex]y = 2 * x[/tex] --- Second = Twice the first
[tex]z = 6 + y[/tex] --- Third = 6 more than second
[tex]x + y + z = 26[/tex] --- Sum of the three numbers
Then, we solve for each number
[tex]y = 2 * x[/tex]
[tex]z = 6 + y[/tex]
[tex]x + y + z = 26[/tex]
Substitute 6 + y for x in [tex]x + y + z = 26[/tex]
[tex]x + y + 6 + y =26[/tex]
Collect Like Terms
[tex]x + y + y = 26 - 6[/tex]
[tex]x + 2y = 20[/tex]
Substitute 2 * x for y in [tex]x + 2y = 20[/tex]
[tex]x + 2(2*x) = 20[/tex]
[tex]x + 4*x = 20[/tex]
[tex]x + 4x = 20[/tex]
[tex]5x = 20[/tex]
Solve for x
[tex]x = \frac{20}{5}[/tex]
[tex]x = 4[/tex]
Recall that:
[tex]y = 2 * x[/tex]
[tex]y = 2 * 4[/tex]
[tex]y = 8[/tex]
Recall that:
[tex]z = 6 + y[/tex]
[tex]z = 6 + 8[/tex]
[tex]z = 14[/tex]
Hence, the numbers are 4, 8 and 14
To test the result:
[tex]x + y + z = 26[/tex]
[tex]4 + 8 + 14 = 26[/tex]
[tex]26= 26[/tex]
What type of triangle is formed with sides of lengths 4 feet, 12 feet, and 14 feet?
Answers
Answer:
An Obtuse Triangle
Step-by-step explanation:
An Obtuse triangle means that none of the 3 sides have equal sides lenghts
Abebe loves to eat pears. He ate 2 a day
for 48 days. How many pears did Abebe
eat?
Abebe ate pears.
IS:
Answers
mark me brainliest if the answer is correct, thank you in advance :)
Write an equation of a line which has a slope of -2 and goes through the point (-4, 11).
Answers
Answer:
y -11 = -2(x+4)
or
y = -2x+3
Step-by-step explanation:
We can use the point slope form of a line
y - y1 = m(x-x1) where m is the slope and (x1 ,y1) is a point on the line
y - 11 = -2(x- -4)
y -11 = -2(x+4)
We can rewrite it in slope intercept form
y-11 = -2x-8
Add 11 to each side
y = -2x+3
Answer:
the equation would be y=-2x+3
Step-by-step explanation:
you are given the slope and a point on this line, and the form for an equation of a line is y=mx+b, where m is the slope and b is the y-intercept. so since we know the slope already:
y=-2x+b
and we are given a point, (x, y), so plug in those numbers as x and y.
11=-2(-4)+b
now solve for b:
11=8+b
3=b
now plug in the slope, m, and y-intercept, b, back into the original equation:
so, y=-2x+3
What is the area for this triangle
Answers
Answer:
56
Step-by-step explanation:
I'm not 100% sure, use my answer at your own risk
I worked this out but saw the other person with the same thing so I assume it’s correct.
Find x and y!
X = ?
Y = ?
Answers
Answer:
x=23
y=88
Step-by-step explanation:
3x+23 and 4x have the same degree measure because they are corresponding angles
3x+23 = 4x
x=23
4(23) + y = 180
92 + y = 180
y = 88
3x + 23 = 4x
subtract the 3 on both sides
23 = x
plug the x in to one of the equations
4(23) = 92
180 = 92 + y
88 = y
your final answer would be
x = 23
y = 88
1. What is the product of 7/16, 4/3,and 1/2?
Answers
total tax: 0.05(50 + 40)
Answers
Answer:
i think it's 4.5
Which number line shows the solution to
1/4 X + 1 < 5
Answers
Answer:
I think it's the third one
Step-by-step explanation:
I've done this before, but try the 3rd one, if not then try the second one. it's been awhile since I've done this. I'm sorry if I'm wrong
Question 4 what is the value of the underlined digit 0.812
Answers
Answer: (8/10)+(1/100)+2/1000)=0.812
Step-by-step explanation: Um, what is the underlined digit
Answer:
I unsure about which digit is underlined but suppose it is all three 812. Then the correct representation as a fraction is 812/1000. If the undwrlined digit was just the 8 it would be 8/10. 1 would be 1/100, and 2 would be 2/1000
Step-by-step explanation:
In how many ways can one choose 4 edges of a cube so that no two of these edges have a common corner?
Answers
Answer:
2
Step-by-step explanation:
HELP. there are 45 coins consisting of nickels, dimes and quarter making a total of 7 dollars. the number of dimes exceeds the number of nickels by five how many quarters are there
Answers
9514 1404 393
Answer:
20
Step-by-step explanation:
Let n, d, q represent the numbers of nickels, dimes, and quarters, respectively. Then we have ...
n + d + q = 45
5n +10d +25q = 700
n -d = -5
__
Using n=d -5, we can substitute into the first two equations:
(d -5) +d + q = 45
2d +q = 50 . . . . add 5, collect terms [eq4]
__
5(d -5) +10d +25q = 700
15d +25q = 725 . . . . . . . . . . add 25, collect terms [eq5]
Multiplying [eq4] equation by 3 and subtracting that from 2/5 of [eq5], we have ...
(2/5)(15d +25q) -3(2d +q) = (2/5)(725) -3(50)
6d +10q -6d -3q = 290 -150
7q = 140 . . . . . . simplify
q = 20 . . . . . . . . divide by 7
There are 20 quarters.
Kendra took a total of 10 quizzes over the course of 2 weeks. After attending 7 weeks of school this quarter, how many quizzes will Kendra have taken in total? Assume the relationship is directly proportional.
Answers
well if Kendra took 10 quizzes in 2 weeks it means that she took 5 quizez each week 5*7=35 therefore she took 35 quizzez in 7 weeks
