Answers
Answer:
y=.75x-2
Step-by-step explanation:
4,1
8,4
3/4 or .75x
to check answer:
(.75*8)=6
6-2
4
The equation of the line shown in the graph is y = 4x / 5 -2.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Points located on the graph that lies on the line are (0, -2), and (2.5, 0)
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute the value in the above equation,
m = 0+ 2 / 2.5 -0 = 20/25
m = 4 / 5
The equation of the line is given as
y - y₁ = m (x - x₁)
Substitute the one point (-2, 0) and m in the above equation,
y + 2 = 4/5 (x - 0)
y = 4x / 5 -2
Thus, the equation of the line shown in the graph is y = 4x / 5 -2.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ2
Related Questions
Fill in the blank with the correct number.
The number ________ is divisible by 2, 3, 4, 5, and 6.
A. 10
B. 30
C. 45
D. 60
Answers
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.51 and a standard deviation of 0.44. Using the empirical rule, what percentage of the students have grade point averages that are no more than 2.07? Please do not round your answer.
Answers
Answer:
15.87%
Step-by-step explanation:
Given that :
Mean (m) = 2.51
Standard deviation (σ) = 0.44
Percentage of students with grade point average no more than 2.07
Using the relation :
Zscore = (X - mean) / standard deviation
X = 2.07
Zscore = (2.07 - 2.51) / 0.44
Zscore = - 0.44 / 0.44
Zscore =. - 1
P(Z < - 1) : using the z table
P(Z < 1) = 0.1587
Hence, Percentage of students with grade point average no more than 2.07 is (0.1587 * 100%) = 15.87%
Problem ID: PRA3VP4 The veterinarian weighed Oliver's new puppy, Boaz, on a defective scale. He weighed 36 pounds. However, Boaz weighs exactly 34.5 pounds. What is the percent of error in measurement of the defective scale to the nearest tenth? Do not include units, %, in your answer. Modified
Answers
Answer: 4.1%
Step-by-step explanation:
Given data:
Measure value ( actual) = 36 pounds
Expected value = 34.5 pounds
Solution:
Percentage error = Actual value - expected value / expected value * 100
= 36 - 34.6 / 34.6 * 100
= 1.4/34.6 * 100
= 0.041 * 100
= 4.1
The percentage error is 4.1%
wich of the following is a factor of x^4-8x^2+16
Answers
Answer:
(x-2)^2 x (x+2)^2
Step-by-step explanation:
11037
have fun figuring out what i mean
Answers
Answer:
????????????????????
Answer:
I think 11037 is a clue to tell what the murder is
Step-by-step explanation:
Determine if √4 is rational or irrational and give a reason for your answer.
Answers
Answer:
rational
Step-by-step explanation:
Because if you take the square root of 4 you get 2
if it was irrational then it would be a decimal or fraction
(plz mark braillist)
What is a closed line of credit?
a.
A line of credit with a set maximum credit limit.
b.
A line of credit with no interest rate.
c.
A line of credit with a fixed total amount.
d.
A line of credit with a legally mandated repayment schedule.
Answers
Answer:
c. A line of credit with a fixed total amount.
Step-by-step explanation:
EDGE 2020
Answer:
C. A line of credit with a fixed total amount.
Step-by-step explanation:
Jordan invested $97,000 in an account paying an interest rate of 1.6% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $109,700?
Answers
Answer:
t≈ 8
Step-by-step explanation:
\text{Compounded Monthly:}
Compounded Monthly:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
A=109700\hspace{35px}P=97000\hspace{35px}r=0.016\hspace{35px}n=12
A=109700P=97000r=0.016n=12
Given values
109700=
109700=
\,\,97000\left(1+\frac{0.016}{12}\right)^{12t}
97000(1+
12
0.016
)
12t
Plug in values
109700=
109700=
\,\,97000(1.0013333)^{12t}
97000(1.0013333)
12t
Simplify
\frac{109700}{97000}=
97000
109700
=
\,\,\frac{97000(1.0013333)^{12t}}{97000}
97000
97000(1.0013333)
12t
Divide by 97000
1.1309278=
1.1309278=
\,\,1.0013333^{12t}
1.0013333
12t
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\log\left(1.0013333^{\color{blue}{12t}}\right)
log(1.0013333
12t
)
Take the log of both sides
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\color{blue}{12t}\log\left(1.0013333\right)
12tlog(1.0013333)
Bring exponent to the front
\frac{\log\left(1.1309278\right)}{\log\left(1.0013333\right)}=
log(1.0013333)
log(1.1309278)
=
\,\,\frac{12t\log\left(1.0013333\right)}{\log\left(1.0013333\right)}
log(1.0013333)
12tlog(1.0013333)
Divide both sides by log(1.0013333)
92.3402971=
92.3402971=
\,\,12t
12t
Use calculator
\frac{92.3402971}{12}=
12
92.3402971
=
\,\,\frac{12t}{12}
12
12t
Divide by 12
7.6950248=
7.6950248=
\,\,t
t
36,300,000 in scientific notation
Answers
Answer:
thirty-six million three hundred thousand
Step-by-step explanation:
It is just 36,300,000 in word form. Hope it helps!
Answer:
36300000 in scientific notation = 3.63 × 107.
Step-by-step explanation:
Which describes the graph of y=(x-5)^2 -4
Answers
Answer:
Use semi-log paper for plotting Y = log y instead of y against x.
The graph is the straight line Y = (log 2) x + log 5.
Explanation:
y is function of the form
b
a
x
.
Semi-log graph is good for revealing such relationship for experimental data [(x, y)] through plots in the proximity of a straight line.
Here, taking logarithms,
Y = log y = log 5 + x log 2.= m x + c.
Slope
d
Y
d
x
is log 2 and Y-intercept is 5 on the log scale.
Graduations will show 1 unit Y = log 10. So, log 2 = 0.3019 unit of Y.
Step-by-step explanation:
y is function of the form
b
a
x
.
Semi-log graph is good for revealing such relationship for experimental data [(x, y)] through plots in the proximity of a straight line.
Here, taking logarithms,
Y = log y = log 5 + x log 2.= m x + c.
Slope
d
Y
d
x
is log 2 and Y-intercept is 5 on the log scale.
Graduations will show 1 unit Y = log 10. So, log 2 = 0.3019 unit of Y
Answer:
Opens up with a vertex at (5,-4)
Step-by-step explanation:
Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes. Part A How would you represent Andy's descent as a unit rate? Express your answer as an integer. Enter your answer in the box. feet per minute Part B If he continues at this rate, where will Andy be in relation to sea level after 6 minutes? feet
Answers
Answer:
A. 4 feet per minute
B. 24 feet
Step-by-step explanation:
Given that: distance = 10 feet
time = 2 1/2 minutes = 2.5 minutes
A. The descent rate is the speed with which an object descends with respect to a reference point or plane.
Speed is the rate of the distance moved to time taken.
speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{10}{2.5}[/tex]
= 4 feet/minute
Andy's descent is 4 feet/minute.
B. If he continues at this rate, his distance in relation to sea level after 6 minutes would be;
speed = [tex]\frac{distance}{time}[/tex]
4 = [tex]\frac{distance}{6}[/tex]
distance = 4 x 6
= 24 feet
Thus, Andy would be at 24 feet in relation to sea level after 6 minutes.
help please show steps please I don't know what to do so I want to learn not just get the answer
Answers
NEED HELP ASAP, MARKING BRAINLIEST.
Solve for the value of x that makes lines r and s parallel.
Answers
Answer:
Step-by-step explanation:
y + 140 = 180 {linear pair}
y = 180 - 140
y = 40
If any pair of exterior angles are congruent , then the lines r and s will be parallel
5x - 5 = 40
5x = 40 + 5
5x = 45
x = 45/5
x = 9
The value of x = 9 will make lines r and s parallel.
I dont understand this, plz help, will mark Branliest!
Solve for x: −3|x + 7| = −12 (2 points)
x = 5 over 3 , x = − 19 over 3
x = −3, x = −11
x = −3, x = 11
Answers
Work:
-3(x+7)=-12
-3x - -21= -12
-21 + -12= -33
-33/-3 = 11
Can someone help me on these questions for geometry sorry if the quality is bad.
Answers
The first term of an arithmetic sequence is 10 and its common difference is negative seven.
Answers
Answer:
A+(N-1)*D
10+(N-1)*(-7)
10+(-7N+7)
10-7N+7
-7N+17
Step-by-step explanation:
using this equation you can find the rest of the numbers in the sequence
A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg3. The doctor writes an exponential function to represent the situation. Which values should the doctor use for a and b in a function written in the form f(x) = abx, where f(x) represents the bone density after x years?
Answers
Answer:
Step-by-step explanation:
gud question
In which quadrant does the terminal side of your angle lie if sec theta < o and cot theta < o ?
Answers
Answer:
The endpoint of an angle
x
lies in the 4th quadrant. Here is why.
First of all, let's recall a few definitions.
Recall the definition of a trigonometric function
sec
(
x
)
:
sec
(
x
)
=
(by definition)
=
1
cos
(
x
)
Recall the definition of a trigonometric function
cot
(
x
)
:
cot
(
x
)
=
(by definition)
=
cos
(
x
)
sin
(
x
)
Step-by-step explanation:
jhyjyujtyuyju
Order the events from least likely (on top) to most likely (on bottom).
Answers
Answer:
so, look at the percentage, since -20 is lower, it is least likely, next is 10%, next s the 30% and last, the 4/5th. 4/5 simplified is 80% or 80 out of 100
Step-by-step explanation:
Answer:Greatest to least.
4/5
30%
10%
-20
Step-by-step explanation:
Wish someone can do this for me.
Answers
Given : Two inequality is given to us . The inequality is v + 8 ≤ -4 and v - 6 ≥ 10 .
To Find : To write those two inequality as a compound inequality with integers .
Solution: First inequality given to us is v + 8 ≤ -4 . So let's simplify it ;
⇒ v + 8 ≤ -4 .
⇒ v ≤ -4 - 8.
⇒ v ≤ -12 .
Now , on simplifying the second inequality ,
⇒ v - 6 ≥ 10 .
⇒ v ≥ 10 + 6.
⇒ v ≥ 16 .
Hence the required answer will be :
[tex]\Large{\boxed{\red{\bf \blue{\dag} v\leqslant -12 \:\:or\:\:v\geqslant 16}}}[/tex]
First one implies that v is less than or equal to -12 whereas the second one implies that v is greater than or equal to 16 .
Find the slope of the line that passes through the points (5,10) and (7,12).
Answers
Answer:
The slope of the line is 1. The equation of the line is 1x + 5.
Step-by-step explanation:
The process is simple. It is y2 - y1 over x2 - x1. Plug in the value of the coordinates to get 12 - 10 over 7 - 5. That leaves you with 2 over 2, which is 1. If you need the equation, it is 1x + 5. Plug in the value of the coordinates to check your work.
2. Consider the following points.
A(-2,20) and P (10,-13)
AP undergoes the translation Tox(x,y), such that A (-28, 37) and P'(-16,4).
Part A: Complete the following algebraic description.
b
(x,y) → (x +
x= x
Part B: Which of the following statements is true?
A AP and A'P' have different locations.
B AP and A'P' have different shapes.
CAP and A'P' have different sizes.
D AP and A'P' have different directions.
Answers
Answer:
Transformation: (x,y) → (x - 26, y + 17) or
[tex]T _{-26,17}[/tex](x,y) [translation]
A, since the transformation of a translation simply changes the location of a certain figure because all the points of the figure are moved the exact same way. This is because a translation is a rigid transformation.
Explanation:
Let the preimage of points A and P be A(x1,y1), and P(x2,y2). And the image of points A and P be A'(x3,y3) and P'(x4,y4).
Given points A and P are A(-2,20) and (10,-13). And points A' and P' are A'(-28,37), and P'(-16,4). The translation is found by calculating the difference between these points for the figure. (x,y) → (( x + ((x3-x1) + (x4-x2))/2), (y + ((y3-y1) + (y4-y2))/2 )). If this does not match all the points in the transformation of the figure, than it is not a rigid transformation, and so it cannot be a translation.
The simple formula for the uniform translation of a figure is : (x,y) → ((x + (x2-x1), (y + (y2-y1)) . Where x2, and y2 are part of the image, while x1, and y1 are part of the preimage. This will get you from the preimage(1) to image(2) following a translation.
Given all the points, the more complicated work is shown here:
(x,y) → ((x + ((-28--2) + (-16-10))/2), (y + ((37-20) + (4--13))/2)) = (x,y) → ((x + (-26 + -26)/2),(y + (17 + 17)/2) = (x,y) → ((x - 26),(y + 17)) = (x,y) → (x - 26, y + 17).
When writing a transformation like a translation in a function, it will look like this: [tex]T _{∆x,∆y}[/tex](x,y). ∆x,∆y are just placeholders for the change in these variables that get you from the preimage to image.
Which line is perpendicular to a line that has a slope of One-half?
line AB
line CD
line FG
line HJ
Answers
Answer:
D
Step-by-step explanation:
Answer:
HJ
Step-by-step explanation:
Please help!
Each of these is a pair of equivalent ratios, for each pair explain why they are equivalent. 5:1 and 15:3
10.2 and 25.5
198:1,287 and 2:13
Answers
Answer:
the best way I can explain this is that you have to simplify and you get the other ratio. think of them as fractions.
Find the average rate of change of g(x)=3x^2 ver the interval [-5, -3].
Answers
Answer:
ill help
Step-by-step explanation:
need help ASAP, failing my classes atm stuggling in math
Answers
Answer:
la respuesta es—6
esperó que te sirva
Square EFGH will be translated 3 units up and 5 units right. What will be the coordinates of the image point F?
Answers
Answer:
(3,2)
Step-by-step explanation:
I hope this helps : )
2/5 x 1 2/3
i know its easy
Answers
Answer:
2/3
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
25×53
Applying the fractions formula for multiplication,
=2×55×3
=10/15
Simplifying 10/15, the answer is
=2/3
A square plaza at a train station has a side length as shown. Which expression represents the area of the plaza in square meters?
2x + 6
x2 + 9
6x + 9
x2 + 6x + 9
Answers
here's the answer hope this helps :)
Answer:
D. x2 + 6x + 9
Step-by-step explanation:
For anyone who didn't understand the above answer^^
Kelvin purchased two Madden 21 games for $125.00. How much did each game
cost?
Answers
Answer: 125.00$
Step-by-step explanation:
the answers in the question
Answer: $62.50
Step-by-step explanation:
125/2=62.50