Answers
Answer:
Value of slope is -2 and y-intercept is 1
Step-by-step explanation:
We can see that the values in the table have a linear relationship.
A linear function is a straight line written as:
y = mx+b
Here,
m is the slope and b is the y-intercept
The slope is calculated by:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
We can take any two consecutive pairs in the table to calculate the slope.
Taking first two input-output pairs.
(x1,y1) = (-3, 7)
(x2,y2) = (-2, 5)
Putting the values
[tex]m = \frac{5-7}{-2+3}\\m= -2[/tex]
Putting the value of m in the general form
[tex]y = -2x+b[/tex]
To find the value of b, we will put any pair of input-output (x,y) in the equation
Putting the first pair
[tex]7 = -2(-3) +b\\7 = 6 + b\\b = 7-6\\b = 1[/tex]
Hence,
Value of slope is -2 and y-intercept is 1
Related Questions
Find the measures of Angles A,B, and C
Answers
Answer:
A = 102 B = 78 C = 56
Step-by-step explanation:
All three sides of a triangle added up equals 180.
So 41 + 37 + A = 180
A = 102
A straight line = 180 degrees.
One measurement is 102, so the other is 78.
You now know B is 78, and that 3 angles equal 180.
46 + 78 + c = 180
c= 56
One pound of candies costs $3.50.
How many pound of candies can be bought for $7?
Answers
Answer: 2 pounds
Step-by-step explanation: 3.50 + 3.50 = 7$ so the answer is 2
Answer:
2 pounds of candy can be bought for $u
Step-by-step explanation:
We have 2 "$3.50" in "$7" and we know that for every $3.50 we have, we can buy 1 pound of candies. Therefore, for $7, we can buy 2 pounds of candies
I hope this helps! :)
5081 divided by 203, the quotient is? Siusjsia
Answers
Answer:
The quotient is 25.0295566502.
The tensile strength of paper is modeled by a normal distribution with a mean of 35 pounds per square inch and a standard deviation of 2 pounds per square inch.
Required:
a. What is the probability that the strength of a sample is less than 38 lb/in²?
b. If the specifications require the tensile strength to exceed 30 lb/in², what proportion of the samples is scrapped?
Answers
Answer:
a) the probability that the strength of a sample is less than 38 lb/in² is approximately 0.9332
b) approximately 0.62% of the sample are scrapped
Step-by-step explanation:
a)
What is the probability that the strength of a sample is less than 38 lb/in²?
lets X rep the paper tensile strength in pounds per square inch.
the probability that the strength of the sample is less than 38 lb/in²
i.e P( X < 38 )
so assuming that X is normally distributed with u = 35 lb/in² and α = 2 lb/in²,
so the probability expression P( X < 38 ) can be standardized as
P( X < 38 ) = P( (X-35)/2 < (38-35)/2)
= P( X < 1.5 )
from the cumulative standard normal distribution table,
we find P( X < 1.5 ) = 0.9332
so
P( X < 38 ) = P( X < 1.5 )
= 0.9332
therefore the probability that the strength of a sample is less than 38 lb/in² is approximately 0.9332
b)
If the specifications require the tensile strength to exceed 30 lb/in², what proportion of the samples is scrapped?
this can be represented as P( X < 30 )
By standardization the probability expression P( X < 30 ) can be transformed as;
P( X < 30 ) = P( (X-35)/2 < (30-35)/2)
= P( z < -2.5 )
from the cumulative standard normal distribution table,
we find P( X < -2.5 ) = 0.0062
so
P( X < 30 ) = P( X < -2.5 )
= 0.0062
therefore, approximately 0.62% of the sample are scrapped
ΔXYZ was reflected to form ΔLMN. Triangle X Y Z is reflected to from triangle L M N. Angle Z Y X is 86 degrees and angle Y X Z is 38 degrees. Angle L N M is 56 degrees and angle N M L is 86 degrees. Which statements are true regarding the diagram? Check all that apply.
Answers
Answer:
A,B,C and F
Step-by-step explanation:
i just took the assignment
Answer:
a,b,c,f
Step-by-step explanation:
edg 2021
Question 1
20 pts
Patty earns $81,223 a year. $13,725.35 in taxes was withheld in the
year. Private health insurance cost $5,600 a year. What is her
monthly after-tax income?
$5,158.14
$5,490.90
O $5,521.80
$5,383.12
Answers
Answer:
$5,158.14
Step-by-step explanation:
$81,223 - $13,725.35 - $5,600 = $61 897.65
$61 897.65 ÷ 12 = $5158.1375 ⇒ $5158.14
Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be?
He estimated that he had about $7 worth of groceries.
He estimated that he had about $9 worth of groceries.
He estimated that he had about $10.30 worth of groceries.
He estimated that he had about $10.40 worth of groceries.
Answers
Answer:
He estimated there were about $10.40 worth of groceries
Step-by-step explanation:
You want to round the prices up to the nearest tenth and then add them all.
3.50
3.50
1.15
1.15
1.15
___
10.45
So 10.45 is closest to 10.40 and you have to remeber that this is just an estimate so it will be less because we rounded the answer up.
Hope this helps
Answer:
$9 its be heres my work
Step-by-step explanation:
Gallon of milk: $3.49
3lbs oranges: $1.14(3) = $3.42
Box of cereal: $3.46
Front end estimation is taking the number in front and the rest of the numbers coming after it will be zeroes.
Using front end estimation:
$3.49 => $3.00
$3.42 => $3.00
$3.46 => $3.00
Add all these up; Shen estimated the total cost of the groceries would be $9.00.
Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your final answers to 2 decimal places.) x −41 −27 −8 −3 P(X = x) 0.29 0.35 0.21 0.15
Answers
Answer:
a) Mean is -23.47
b) Variance is 206.59
c) standard deviation is 14.37
Step-by-step explanation:
Given that;
x −41 −27 −8 −3
P(X = x) 0.29 0.35 0.21 0.15
X.P -11.89 -9.45 -1.68 -0.45
a) mean
Mean = ∑X.P = -11.89 + -9.45 + -1.68 + -0.45
Mean = -23.47
b) the variance
E(x²) = ∑x²P(X=x)
= (−41²×0.29) + (−27²×0.35) + (−8²×0.21) + (−3²×0.15)
= 487.49 + 255.15 + 13.44 + 1.35
= 757.43
So
Var(X) = E(x²) - [∑X.P]²
Var(X) = 757.43 - [-23.47]²
= 757.43 - 550.8409
= 206.5891 ≈ 206.59
Therefore Variance is 206.59
c) standard deviation
standard deviation SD(X) = √Var(X)
SD(X) = √206.5891
= 14.3732 ≈ 14.37
Therefore standard deviation is 14.37
Kelly is six years younger than her sister for some of their age is 34 years how old is Kelly and how old is her sister?
Answers
Answer:
If her sister is 34 then Kelly will have to be 28
The graph of an equation with a negative discriminant always has which characteristic?
OO
no x-intercept
no y-intercept
no maximum
no minimum
Answers
In March it rained 8.23 inches. It rained 5.96 inches less in April than in March.
How much did it rain in April?
Answers
HELP ME IS THIS TODAY :(
Answers
Answer:
corresponding sides are LM AND PQ
MN AND QR
LN AND PR
Step-by-step explanation:
CORRESPONDING ANGLES
LMN AND RQP
MLN AND QRP
MNL AND QPR
hope it will work
Invalid data.
23. 6) Word Problem:
Bill makes $30.00 per day. He makes twice as much as Jack makes before
Jacks's salary was doubled. How much does Jack make now?
24. 7) A purchase of $0.73 is made by a customer. The customer hands you a $10.00 bill.
How much change should you give back?
25. 8) A customer buys 3 items at $0.25 each, 2 items at $0.55 each, and 1 other item for
$0.15. Assuming the tax rate on a dollar is 2%, how much will the total transaction be?
26. 9) How many nickels are there in a $2.00 roll?
Answers
Answer:
23.6) $30.00
24.7) $9.27
25.8) I'm not sure
26.9) 40 nickles
Step-by-step explanation:
For the function below, find ordered pairs for: x = -2 and x = 5 y = 9 - 4x
Answers
Answer:
(- 2, 17 ) and (5, - 11 )
Step-by-step explanation:
Given
y = 9 - 4x
Substitute the given values of x into the equation and evaluate for y
x = - 2, then
y = 9 - 4(- 2) = 9 + 8 = 17 ⇒ (- 2, 17 ) ← ordered pair
x = 5, then
y = 9 - 4(5) = 9 - 20 = - 11 ⇒ (5, - 11 ) ← ordered pair
105 people must be split into 3 equal groups. How many people in each group?
Answers
Answer:
35 people in each
Step-by-step explanation:
105÷3=35
What is the sales tax rate if a $7,594 purchase will have $569.55 of sales tax added to it?
Answers
Answer:
Step-by-step explanation:
577.144
Which equation has the correct sign on the product?
A 45(-4)=180 B 13•3= -39
C (-8)(-8)= -64 D (-18)4 = -72
Answers
answer:
the answer is a
There are 24 female performers in a dance recital. The ratio of men to women is 7:8. How many men are in the dance recital?
Answers
Helllllppppppp me please!!!!!
Answers
Answer:
[tex]\boxed {y = \frac{4}{3} + 1}[/tex]
Step-by-step explanation:
Since you already have the slope and the y-intercept, use it to make a Slope-Intercept Form by using this formula:
[tex]y = mx + b[/tex]
Slope: [tex]m[/tex]
Y-intercept: [tex]b[/tex]
-Substitute:
Slope: [tex]\frac{4}{3}[/tex]
Y-intercept: [tex]1[/tex]
[tex]\boxed {y = \frac{4}{3} + 1}[/tex]
You start an account with $2,500 and an annual interest rate of 6.5% compounded yearly. How much is in the account after 7 years?
I need an expression and a solution
Answers
I'm pretty sure it's this:
Answer:
y=a( 1+ r/n)^ nt
growth is a= 2500 yearly is n= 1
y= 2500( 1+ .065/1)^ 1.7 = $3884.97
What is the equation for the following graph?
Answers
Answer:
x=4
Step-by-step explanation:
The most common type of harmony in the Baroque Period was:
a
Polyphony
b
Monophony
c
Homophony
*please None i will give you 12 points*
Answers
Question:
The most common type of harmony in the Baroque Period was
answer: Harmony came to be thought of as chords that laid the foundation for the melody. Major and minor as we know them today became established as keys instead of modes, and the harmonic patterns of tonality began to evolve. hmm
Polyphony is having multiple voices, harmony is how those multiple voices interact and relate to each other. Polyphony doesn't necessarily mean playing at the same time either, just the act of having multiple voices in a piece. Melodic independence and consonant treatment. so i think it is A.Polyphony
The function
The function g(x) has a slope of —5/6. The value of g (x) is 5 when x is 6. Explain how the graph
of g(x) can be used to find the x-intercept. (2 points)
Item
Answers
Set up equation [y-y1= m(x-x1)]
y-5 = -5/6(x-6)
And simplify.
Y=-5/6x +10
Then to find x intercept, plug in a 0 for y
0=-5/6x+10
-10=-5/6x. Subtract 10 from both sides.
-10/ -5/6 = x. Divide by -5/6 on both sides.
X=12
So the x intercept is 12 or (12,0)
Choose the definition for the function PLS HELP
Answers
Answer:
Which function please explain
Find all x-intercepts of the function. Express your answer as a list of x-values
f(x) = x^3+x^2+x-1
Answers
Answer:
(0.54368901,0)
Step-by-step explanation:
Subsititute 0 for y and solve to find the x-intercepts.
Please help i don’t really understand it
Answers
Answer:
vvvvvvvvvv
Step-by-step explanation:
~ Is a sign for similarity. This essentially means you can do rigid transformations to a shape to get the exact shape of another. You would need proportional sides and congruent angles for this to work. The shapes are not proportional so it is not similar.
to calculate the perimeter of the parallelogram you need the two side lengths 12 inches and 15 inches
Answers
Answer:
the answer would be 54
Step-by-step explanation:
If the shape is a parallelogram then two sides will be equal lengths. same with the other two sides.
if you need the perimeter then you need to add the lengths of all the sides. so that would be 12 12 15 and 15. Add those together and you get 54 inches.
Answer:
i think the answer is 54
which equation is equivalent?
Answers
Answer:
C
Step-by-step explanation:
3*2x=6x
3*-4=-12
4x+6x=10x
If ABC=DEC b=48degree and E=x+4
X=
Answers
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[tex]x + 4 = 48[/tex]
Subtract sides 4
[tex]x +4 - 4 = 48 - 4[/tex]
[tex]x = 44°[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Can somebody please write it down like show the work I need to know thanks
Answers
Answer:
-5/33
Step-by-step explanation: