Answer:
Step-by-step explanation:
(-2,3) k=-1/2
Find the equation of the line:
[tex]y=kx+b[/tex]
[tex]\displaystyle\\3=-\frac{1}{2}*(-2)+b\\\\3=1+b\\ 3-1=1+b-1\\2=b\\Thus,\\y=-\frac{1}{2} x+2[/tex]
The required 3 more coordinates are (0, 2), (1, 3/2), and (2, 1).
Given that,
To determine points using a slope of -1/2 and the point (-2,3).
Coordinate, is represented as the points on the x-axis and y-axis of the graph.
Here,
using the slope-intercept form of the equation,
y = mx + c
we have a point (-2, 3) and m = -1/2
Put point and slope in the equation,
3 = -1/2 * -2 + c
c = 3 - 1
c = 2
Now equation would be
y = -1/2x + 2
Now,
For x = 0
y = 2
Coordinate will be (0,2)
For x = 1
y = -1/2 + 2
y = 3/2
Coordinate will be (1, 3/2)
For x = 2
y = -1/2 * 2 + 2
y = 1
Coordinate will be (2, 1)
Thus, the required 3 more coordinates are (0, 2), (1, 3/2), and (2, 1).
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Please help!!! thank you!!! *will give brainliest*
Answer: Choice C
[tex]y = x^2+2, \ x \ge 0[/tex]
=============================================
Work Shown:
[tex]f(x) = \sqrt{x-2}\\\\y = \sqrt{x-2}\\\\x = \sqrt{y-2} \ \text{ swap x and y}\\\\x^2 = y-2 \ \text{ square both sides}\\\\y = x^2+2\\\\f^{-1}(x) = x^2+2\\\\[/tex]
Since the range of f(x) is [tex]y \ge 0[/tex] this means the domain of the inverse will be [tex]x \ge 0[/tex]
The domain and range swap when you go from the original function to the inverse, or vice versa (due to x and y swapping)
So we must state the inverse is [tex]y = x^2+2 , \ x \ge 0[/tex]
A croissant a cup of coffee and a fruit bowl from Kelly's coffee cart cost a total of $5.50 and a croissant cost twice as much as a cup of coffee Kelly post a notice announcing that effective next week the price of a croissant will go up 25% and the price of coffee will go up 20% after the increase the total price of the purchase will be $6.03. Find the cost of each item before the increase.
Answer:
cost of Croissant =$ 1.5142
cost of Coffee=$0.7571
cost of fruit bowl = $3.229
Step-by-step explanation:
Step 1
A croissant, a cup of coffee, and a fruit bowl cost $5.50 also a croissant costs twice as much as a cup of coffee
so let cost of a cup of coffee=C
cost of croissant=2C
cost of fruit bowl = F
Such that
C+2C+F= 5.50
3C+F=5.50.......equation 1
Also, effective next week, the price of a croissant will go up 25% and the
price of coffee will go up 20% Giving us that
new cost of croissant=(2C)(1+25/100)=2.5C
new price of coffee=(C)(1+20/100)=1.20C
new price of fruit bowl still remains unchanged =F
such that
2.5C +1.20C + F=6.03
3.7C+F=6.03----- equaton 2
Step 2
3C+F=5.50.......equation 1
3.7C+F=6.03----- equaton 2
By elimination method, we subtract eqn 1 from eqn 2
3.7C - 3C + F -F=6.03-5.5
0.7 C=0.53
C= 0.53/0.7
C=0.7571
2C= 1.5142
3C+F=5.50
3 X 0.7571 + F= 5.50
2.27 + F= 5.50
F= 5.50-2.271= 3.229
cost of Croissant =$ 1.5142
cost of Coffee=$0.7571
cost of fruit bowl = $3.229
Does anyone have know if there’s a answer key for this if not pls help.
Answer:
I'm not sure, but I could kinda help
Step-by-step explanation:
to find the slope using a graph, using the formula :
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
I hope this helps
what is the slope of the line between (0,8) and (2,20)
Answer:-1/6
Step-by-step explanation:
Answer:
slope is 6
Step-by-step explanation:
Plz help plz plz i need help with this question
Answer: the original slope is 3/2
The perpendicular slope is -2/3
Slope is rise/run
Step-by-step explanation: For the original slope get
Find coordinates where the graphed line crosses the grid lines at the intersections. Here, (0,-2) and (2,1) Count the number of squares vertically. That is the rise. It is the difference in y-values. It is the numerator of the fraction. Then count the squares horizontally to get the run. That is the denominator of the fraction.
It is possible to use the expression [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] to calculate the slope.
[tex]\frac{1-(-2)}{2-0} = 3/2[/tex]
To find the perpendicular slope, reverse the sign and use the reciprocal of the original fraction.
The reciprocal of 3/2 is 2/3. The opposite sign is negative. -2/3
jus help with 2 thats it then ill pay dis time
Answer: The third one
Hi again:)
Step-by-step explanation:
Translate this phrase into an algebraic expression.
67 decreased by twice Jenny's savings
Use the variable j to represent Jenny's savings.
Answer:
67-2j
Step-by-step explanation:
thats all i got for you my friend
Which of the following cannot be a probability ?
A) 2/3
B) 0
C) .001
D) -0.5
Why?
Tell me you love me and I’ll love you forever need help with this ASAP
Answer:
.33
Step-by-step explanation:
r u boy or girl
PLEASE HELP ME, GIVING 40 POINTS!!!!!
How many perfect cube divisors does 160,000 have?
Answer:
160,000 has three(3) perfect cube divisors namely;. 8, 8 and 125
Step-by-step explanation:
To determine how many perfect cube divisors 160,000 has;
We first need to highlight the factors of 160,000 as follows;
(2 × 2 × 2) × (2 × 2 × 2) × 2 × 2 × (5 × 5 × 5) × 5
As such, the product of numbers in each bracket yield a perfect cube; the expression above then becomes;
2 × 2 × 5 × 8 × 8 × 125.
Therefore, 160,000 has three(3) perfect cube divisors namely;. 8, 8 and 125
2a+3r+1.5p=29.75 (1)
a+r+p=13.50 (2)
a+3r+4p=29.00 (3)
Eliminate a by multiplying equation (2) by -1 and adding it to equation (3).
What is the resulting equation?
4r + 5p = 42.50
2r + 3p = 15.50
2r + 3p = 42.50
Answer:
2r+3p=15.50
Step-by-step explanation:
Answer:
The second part are 1 and A
Step-by-step explanation:
Thank me later
solving multistep equations(with work shown, please)
116= -4 + 5(-6 - 5a)
8m + 4(4m -5) = -92
-3(8 - 6x) = -96
-126 = -3 (6+6x)
-8 -8(5a + 7)=-224
-2(-5x -1) = 82
-7(4x + 6) = -182
Answer:
#1) 116= -4 + 5(-6 - 5a) : a = -6
#2) 8m + 4(4m -5) = -92 : m = -3
#3) -3(8 - 6x) = -96 : x = -4
#4) -126 = -3 (6+6x) : x = 6
#5) -8 -8(5a + 7)=-224 : a = 4
#6) -2(-5x -1) = 82 : x = 8
#7) -7(4x + 6) = -182 :x = 5
Step-by-step explanation:
Remember: An equation must be equal at all times. This means if something is added to one side, it must also be added to the other. This holds true for addition, subtraction, division, and multiplication.
Problem 1:
116= -4 + 5(-6 - 5a)
move the -4 to the left side by adding 4 to both sides:
116 + 4 = -4 + 5(-6 - 5a) + 4
now 120 = 5(-6 - 5a)
divide both sides by 5:
120/5 = (5(-6 - 5a))/5
now 24 = -6 - 5a
move the -6 to the left side by adding 6 to both sides:
24 + 6 = -6 - 5a + 6
now 30 = - 5a
divide each side by -5:
(30)/-5 = (- 5a)/ -5
now -6 = a or a = -6
___________________________
Problem 2:
8m + 4(4m -5) = -92
begin by diving both sides by 4:
(8m + 4(4m -5))/4 = (-92)/4
now 2m + 4m - 5 = -23
move the -5 to the right side by adding 5 to both sides:
2m + 4m - 5 + 5 = -23 + 5
now 2m + 4m = -18
restate the left side and combine:
now 6m = -18
divide both sides by 6:
6m/6 = -18/6
so m = -3
___________________________
Problem 3:
-3(8 - 6x) = -96
divide both sides by - 3:
(-3(8 - 6x)) / -3 = -96/-3
now 8 - 6x = 32
move 8 to right side by subtracting 8 from both sides:
8 - 6x - 8 = 32 - 8
now -6x = 24
divide both sides by -6:
-6x/ -6 = 24/-6
x = -4
___________________________
Problem 4:
-126 = -3 (6+6x)
divide both sides by - 3:
-126/-3 = (-3 (6+6x)) /-3
now 42 = 6 + 6x
move 6 to left side by subtracting 6 from both sidesL
42 - 6 = 6 + 6x - 6
now 36 = 6x
divide both sides by 6:
36/6 = 6x/6
x = 6
___________________________
Problem 5:
-8 - 8(5a + 7)= -224
add 8 to both sides:
-8 - 8(5a + 7) + 8 = -224 + 8
now -8(5a + 7) = - 216
divide both sides by -8:
(- 8(5a + 7))/-8 = - 216 /-8
now 5a + 7 = 27
move 7 to right side by subtracting 7 from both sides:
5a + 7 - 7 = 27 - 7
now 5a = 20
divide both sides by 5:
5a/5 = 20/5
a = 4
___________________________
Problem 6:
-2(-5x -1) = 82
divide both sides by -2:
(-2(-5x -1))/-2 = 82/-2
now -5x -1 = -41
move -1 to right side by adding 1 to both sides:
-5x - 1 + 1= -41 + 1
now -5x = -40
divide both sides by -5:
-5x/-5 = -40/-5
x = 8
___________________________
Problem 7:
-7(4x + 6) = -182
divide both sides by -7:
(-7(4x + 6))/-7 = -182/-7
now 4x + 6 = 26
move 6 to right side by subtracting 6 from both sides:
4x + 6 - 6 = 26 - 6
now 4x = 20
divide both sides by 4:
4x/4 = 20/4
x = 5
I need help with this
Answer:
2020 is not it
Step-by-step explanation:15
write an equation of the line that passes through (-3, 5) and is perpendicular to the line y=-3x-1
Answer:
y=3x+14
Step-by-step explanation:
We can use point-slope intercept form to find the equation of the line.
Equation: y-y₁=m(x-x₁)
**For a line to be perpendicular to another, its slopes must be negative reciprocals of each other. So, in our example, the slope of the new line must be [tex]\frac{1}{3}[/tex].
1. Plug in provided info into the equation listed above (the coords are the values that we will put for x₁ and y₁:
y-5=[tex]\frac{1}{3}[/tex](x-(-3))
2. Simplify:
y-5=[tex]\frac{1}{3}[/tex](x+3)
3. Distribute & Simplify
y-5=[tex]\frac{1}{3}[/tex]x+1
3. Add 5 to both sides of the equation:
y=[tex]\frac{1}{3}[/tex]+6
The equation of the line that passes through (-3, 5) and is perpendicular to the line y=-3x-1 is y = x/3 + 20/3.
What is the definition of the perpendicular lines?Perpendicular lines have been defined in geometry as two lines which meet or intersect at right angles (90°). The term "perpendicular" is derived out of the Latin word "perpendicularis," which means "a plumb line."For the given question;
The equation of the perpendicular line is given as;
y=-3x-1
Compare with the standard slope intercept form.
y = mx + c
m is the slope and c is the y intercept.
Say slope m1 = -3
Then, the relation for the slopes of two perpendicular lines are-
m1 x m2 = -1
m2 = -1/m1
m2 = -1/-3 = 1/3
This, line with the slope 1/3 passes through the points;
(x1, y1) = (-3, 5)
The equation of the line is obtained as;
y - y1 = m2(x - x1)
y - 5 = (1/3)(x + 5)
y = x/3 + 20/3
Thus, the equation of the line that passes through (-3, 5) and is perpendicular to the line y=-3x-1 is y = x/3 + 20/3.
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The average distance from earth to the sun is 92.95 million miles. the actual distance varies from the average by up to 1.55 million miles. write and solve an absolute value equation to find the minimum and maximum distance from each to the sun. use d for distance.
The maximum and minimum distance from Earth to the Sun are 94.5million miles and 91.4million miles respectively.
Given that the average distance from Earth to the Sun is 92.95 million miles, if the actual distance varies from the average by up to 1.55 million miles, the then;
Maximum distance = average distance + variation
Minimum distance = average distance - variation
Maximum distance = 92.95 million + 1.55million
Maximum distance = 94.5million miles
Minimum distance = 92.95 million - 1.55million
Minimum distance = 91.4million miles
Hence the maximum and minimum distance from Earth to the Sun are 94.5million miles and 91.4million miles respectively.
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What’s the side and angles?
Answer:
I think that the side length is 25.8 and the angle length is 180 degrees
Step-by-step explanation:
I'm not 100% sure but all I did was add the side lengths to get 25.8 (8.6 + 8.6 + 8.6) and the angle length is 180 degrees (because all triangles has to equal to 180 degrees and 60 plus 60 plus 60 is equal to 180).
There you go. Just to remind you that I'm not 100% sure about this answer, but hope this helps.
Which equation has a Slope of -1 and a Y intercept of -9?
Answer
What are the answers?
Step-by-step explanation:
Answery
y =−4x+3
Step-by-step explanation:
The slope-intercept form of a linear equation is:
y =m x+b
Where m is the slope and b
is the y-intercept value.
Substituting the values from the problem gives:
Solve 4 h = 92 for h
Answer:
Step-by-step explanation:
4h/4=92/4
h=23.
thx.
Answer:
h = 23
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
4h = 92
Step 2: Solve for h
Divide both sides by 4: h = 23Step 3: Check
Plug in h into the original equation to verify it's a solution.
Substitute in h: 4(23) = 92Multiply: 92 = 92Here we see that 92 does indeed equal 92.
∴ h = 23 is the solution to the equation.
Please help KSJGDHSLREKHAJFLTNBWHJDJDJFNTBEKWKHRVTNTKKR
Answer:
A
Step-by-step explanation:
Answer:
A is the answer
It’s 40 right?? I’m sorry I’m so confused
Answer:
Yes, 40 is correct. The valuable r is basically just a blank line and you have to fill it in this problem.
Step-by-step explanation:
HELP PLEASE ILL MARK YOU BRAINLIST…explain how to do the thing and the meaning of the symbol
Answer: (-5,8)
Step-by-step explanation:
X: 1 + (-6) = -5
Y: 2+6 = 8
Aiden walked 1/8 of a mile in 1/16 of an hour. How long will it take him to walk the entire mile?
slope of (3,4) (9,2)
Answer:
m= -1/3
good luck!
An item is regularly priced at $50 . It is on sale for 30% off the regular price. How much (in dollars) is discounted from the regular price?
Answer:
Step-by-step explanation:
I have a 4.21 gpa and I need the unweighted version of it.
Is the unweighted version like a 3.5 or something?
Answer:
Pretty sure it would be 3.5 or 3.6 somewhere in that zone :)
The table above gives selected values for the derivative of a function g on the interval —1 x < 2. If g(—l) = —2 and Euler's method with a step-size of 1.5 is used to approximate g(2), what is the resulting approximation?
Answer:
(2.0, 2.5)
g(2) = 2.5
Explanation:
We can use Euler's Method by creating a table with 5 columns. The headers will be labeled, from left to right:
(x, y)dy/dxΔxΔy(x + Δx, y + Δy)We are given the starting point of (-1, -2). We can write this under the (x, y) column.
Check the given table for the dy/dx of the x-value we start with. We start with -1.0, so the chart says the change at this point is 2. Therefore, we can write 2 under the dy/dx column.
We are told the change in x is 1.5, so write 1.5 under Δx.
To calculate the change in y, multiply dy/dx times Δx.
2 * 1.5 = 3.0Write 3.0 under the Δy column.
For the last column, take the previous columns and add them together for the new point. Use this new point to repeat the process until you find g(2).
I've attached an image of the chart that I drew to represent this process. Let me know if you have any questions!
Peter was told by his teacher that he needed to measure the height of the building in which his classroom was located. He backs away from the building and places a mirror on the ground between him and the wall. When he can see the top of the building in the mirror, Peter is 2 feet 9 inches away from the mirror and the mirror is 11 feet away from the wall of the building. Peter knew his eye level was exactly 5 ft 6 inches off of the ground, so he was able to calculate the height of the building. How tall is the building in feet?
Answer:
IT'S 22 JUsT FOUND OUTStep-by-step explanation:
Someone please help me please with this I really need help
Answer:
I think its c
Step-by-step explanation:
I think that's right
Emilio has 2 quarters, 4 dimes, 3 nickels and 5 pennies. How much money does Emilio have in all?
Answer:
$1.10
Step-by-step explanation:
What we know:
Emilio has 2 quarters, 4 dimes, 3 nickels, and 5 pennies.
Quarters = 0.25 * 2
Dimes = 0.1 * 4
Nickels = 0.05 * 3
Pennies = 0.01 * 5
$0.50 + $0.40 + $0.15 + $0.05
$0.90 + $0.20 = $1.10 in total
A statue in the park is 24 feet tall and has a width of 36 inches. Chase was in
ceramics class and decided to make a model of the statue. The model is 16 inches
tall. How wide is the model (to the nearest tenth of an inch)?
Answer:
22.33 feet tall / 267.96 inches tall
Step-by-step explanation:
The statue is 36 inches wide. If Chase made his model of the statue 16 inches wide, he decreased it by 20 inches. Now change the inches into feet. 36 inches would be 3 feet, 16 inches would be 1.33 feet and 20 inches would be 1.67 feet. 24ft - 1.67 = 22.33ft. Now change the answers to inches. 22.33ft will be 267.96 inches tall.