Answer:
The slope of the line is [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
Given parameters:
A(-4, -1) to B(4, 2)
Unknown:
The slope of the line joining the two points
Solution:
To find the slope of the line; we use the expression below:
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex]
x₁ = -4
y₁ = -1
x₂ = 4
y₂ = 2
Input the parameters and solve;
Slope = [tex]\frac{2 -(-1)}{4-(-4)}[/tex]
Slope = [tex]\frac{3}{8}[/tex]
The slope of the line is [tex]\frac{3}{8}[/tex]
IIIlas' car usses 65 L of petrol to travel 728 km, while Hanis car uses 48 L in 552 km
how much petrol would each car use to travel 830 km ?
Answer:
65l-728km
x-830km
65×830/728=53950÷728=74,107
48L-552
x-830
48×830/552=39840/552=72.173
Suppose y varies directly with x. If y = 6 when x = 18, find the value of y when
x= 8.
Answer:
y = [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition
y = 6 when x = 18 , then
6 = 18k ( divide both sides by 18 )
k = [tex]\frac{6}{18}[/tex] = [tex]\frac{1}{3}[/tex]
y = [tex]\frac{1}{3}[/tex] x ← equation of variation
When x = 8, then
y = [tex]\frac{1}{3}[/tex] × 8 = [tex]\frac{8}{3}[/tex]
What is the equation of the least-squares regression line for the data set?
A) y=−1.988x+43.293
B)y=−0.879x+43.293
C)y=1.988x−43.293
D)y=−0.879x−43.293
Answer:
The answer is option A y = −1.988x + 43.293
Step-by-step explanation:
I just took the test
The equation of the least squares regression line for the data set will be;
y = -1.988x + 43.293
Option A is true.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The table of data set is shown in figure.
Now, Let hours represent by x.
And, Tickets sold represent by y.
So, By the equation;
y = -1.988x + 43.293
Substitute x = 11;
y = -1.988 × 11 + 43.293
y = - 21.868 + 43.293
y = 21.62
y = 22
And, For x = 9;
y = -1.988 × 9 + 43.293
y = -17.892 + 43.293
y = 25.4
y = 24
Thus, Equation y = -1.988x + 43.293 shows the least-squares regression line for the data set.
So, The equation of the least squares regression line for the data set will be;
y = -1.988x + 43.293
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What is 9.6758473648 to the closest hundredth
Answer:
The answer is 9.68
Step-by-step explanation:
The closest hundred is here 9.6858473648
-------
But the 5 has an 8 in the back which makes it a 6 and that means its greater so the 7 becomes an 8
use the algrebraic description (x,y)=(x+2, y-3) to find the image of
Answer:
(2,-3)
Step-by-step explanation:
basically u connect the numbers to what its giving u like x+2 connect the "x" to the x in (x,y) and you do the same for "y", y-3 to (x,y) gives u (x,-3)
SOMEONE PLZ HELP ME !!! ASAP
Solve this problem.
6x > 60
x>10
All you have to do is divide by 6 on both sides
I DONT UNDERSTAND HELLPPP
Answer:
choice answer choice f
The points (5,-2) and (7,r) lie on a line with slope 4. Find the missing coordinate r.
Answer:
A slope of four means that it moves up four and over 1. Since 7-5 is 2, you must half the 1. (7, 2.5)
Expand & simplify
(x+2)(x−3)(x+4)
what is the number pattern for 7 12 17 22
Answer: Add 5 to every number
Steps: 7, 12, 17, 22, 27, 32, 37, 42, 47...
Plz mark brainliest:)
PLEASE HELP GOTTA GO TO CROSS COUNTRY PRACTICE PLEASE AND THANKS MARK YOU BRAINLIEST
Answer:
1. $13.78
2. 5.3lbs
3. $4.56
4. 30.44lbs
5. $32.07
Step-by-step explanation:
Simple addition and subtraction.
8×5 +6-10
What is the answer for this
givenf(x)=10(6-x), what is the value of f(-2)
Answer:
80
Step-by-step explanation:
f(x)= 10(6-x) original equation
y= 10(6-(-2) plug in variable
y= 10 (6+2) simplify
y= 10(8)
y= 80
solve for a. 1/3(21-3a)=6-a
Answer:
no solution
Step-by-step explanation:
Given
[tex]\frac{1}{3}[/tex] (21 - 3a) = 6 - a ( multiply through by 3 to clear the fraction )
21 - 3a = 18 - 3a ( subtract 21 from both sides )
- 3a = - 3 - 3a ( add 3a to both sides )
0 = - 3 ← not possible
This indicates the equation has no solution
The function T = 25 - sin ( – 4)) +5
+55 gives the average monthly temperature, T, in a city, where m represents the
month. In which month is the average temperature the same as in m = 3?
Om = 5
Om = 7
Om = 9
O. m = 11
Answer:
the third one ithink
Step-by-step explanation:
each cd cost $5 you have $40 to spend on cds write an inequality for the possible number of CDs you could buy the find the maximum number of CDs you can buy
the expression 9.78(4.3x + 5.15) simplifies to
Answer: 42.097x+50.4185
Step-by-step explanation:
2/3x = 27 please help
Jeff hikes 0.5 mile every 0.25 hour or 25 minutes. How many miles does Jeff hike in 1 hour or 60 minutes.
Answer:
0.25 hour is 15 minutes because its 1/4 of an hour. but the answer is 2 miles for 60 minutes
Step-by-step explanation:
A triangular garden has two rock walls meeting at a right angle. The length of one of the walls is 20 feet. Use the image to find d, the length of the other wall.
Step-by-step explanation:
Here you go, I hope this is helpfull
The length of the other side of the wall is √500 ft
Pythagoras theorem
To get the length of 'd', we will use the pythagoras theorem as shown below:
Given the following
Hypotenuse = 30ftAdjacent = 20ftAccording to the theorem;
[tex]h^2=a^2+d^2\\30^2 = 20^2 + d^2\\900 = 400 + d^2\\d^2 = 900 - 400\\d = \sqrt{500} ft[/tex]
Hence the length of the other side of the wall is √500 ft
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What is the value of x, rounded to the nearest tenth?
Answer:
can you put some context?
Step-by-step explanation:
Eduardo has to make a 10 minute video of his test corrections for his Algebra 2 teacher in order to be eligible to retest. His teacher said he must stay within three minutes of the 10 minute requirement. Write an absolute value inequality that represents video lengths that meet the requirement. No spaces. On your keyboard,
Answer:
7 ≤ v ≤ 13
Step-by-step explanation:
Length of video required must be within 10 minutes
Submitted length of video must be with 3 minutes of the 10 minutes video
To create an absolute value inequality :
Let v = the range of value for which the required video will be :
|v - 10| = ±3
Lower boundary :
|v - 10| = - 3
v = - 3 + 10
v = 7
Upper boundary :
|v - 10| = 3
v = 3 + 10
v = 13
Hence,
7 ≤ v ≤ 13
After a baby was born, he began to gain weight at a rate of 1.5 pounds per month. The weight of the baby at birth was 10 pounds. Write an equation for W,W, in terms of t,t, representing weight, in pounds, of the newborn baby tt months after birth. W=? Please answer !!!
Answer:
W = 10 +1.5t
Step-by-step explanation:
10 pounds
addition of 1.5 pounds
You fill your car with gasoline at a service station for $2.75 per gallon. You pay with a $50 bill.
How much change will you receive if you buy g gallons of gasoline? How much change will you
receive if you buy 14 gallons?
how do process you used for parts a and b differ ? how are they the same ?
Answer:
helppppppppppppppppppp
What is the answer to this?
Simplify.
14+4(12−34)2
Answer:
-162
Step-by-step explanation:
Answer:
brainliest plssss
Step-by-step explanation:
answer is in the img belowwwwww
Triangle XYZ is a right triangle with the right angle at vertex Y.
Angle X must be
.
Angle Z must be
.
The sum of angles X and Z must be
90°.
The sum of angles X and Z is 90°.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Triangle XYZ.
∠Y = 90°
Now,
The sum of the three angles must be 180°.
So,
∠X + ∠Y + ∠Z = 180
∠X + ∠Z = 180 - 90
∠X + ∠Z = 90
Thus,
∠X + ∠Z = 90
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Determining Angle Relationships in Right Triangles
Acute
Acute
Equal to
Step-by-step explanation:
see picture
Which expression is equivalent to 6(2x-8) *
A : 12x+48
B: 12x-8
C: 12x-48
D: 2x-48
Answer:
C.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
6(2x-8)
6 * 2x = 12x
6 * -8 = -48
12x - 48
ALGEBRA NATION!!! NEED HELP :(