X=40 with the little house thingy
what is the constant of variation in this relation?
Answer:
Please check the explanation.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
k = y/x
here k is the constant of variation.
From the table,
substitute x = -3, y = -4 in the equation
k = y/x
k = -4/-3
k = 4/3
substituting x = -2, y = -1
k = y/x
k = -1/-2 = 1/2
substituting x = -1, y = 2
k = y/x
k = 2/-1 = -2
substituting x = 0, y = 5
k = y/x
k = 5/0 = ∞
substituting x = 1, y = 8
k = y/x
k = 8/1
k = 8
substituting x = 2, y = 11
k = y/x
k = 11/2
substituting x = 3, y = 14
k = y/x
k = 14/3
It is clearly visible that there is no constant of variation because the ratio y = k/x is variating for different ordered pairs.
Thus, It is clear that none of the answers in the answer choices represent the constant of variation in this relation.
Solve for y.
7y - 14 = 35
Answer:
it's 7
Step-by-step explanation:
this needs to be 20 characters long
Answer:
switch the -14 to positive and the add 35+14 and then divide the number you get by 7
Step-by-step explanation:
y=7
which expression results from using the distributive property: 7(x+3)
1.) Identify the degree of the term 3xy4
please help with new subject
Answer:
answer is also 60.
Step-by-step explanation:
Since angle 2 is also 60 degrees, angle 6 will also be 60 degrees.
Answer:
angle 5 =60° (corresponding angles)
angle 5 = angle 6 =60° (vertically opposite angles)
60° is the right answer.Name the plane represented by the right side of the box?
Answer:
I believe it is BCG
Step-by-step explanation:
worth 10 points !! need help asap !graph: y < 2/3x + 1
2(2t +7) = 4t+14
solve for t
Answer:
( - ∞, ∞)
Step-by-step explanation:
Any value of t makes the interval notation ^^^
1. Find the slope of the line passing through the points (3,5) and (3, -6).
slope:
2. Find the slope of the line passing through the points (-6, 2) and (8,2).
slope:
please help
Question 1)
Given the points
(3, 5)(3, -6)Finding the slope between (3, 5) and (3, -6)
(x₁, y₁) = (3, 5)(x₂, y₂) = (3, -6)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [-6 - 5] / [3 - 3]
= -11 / 0
= undefined or ∞
Thus, the slope of the line = m = undefined.
Note: The undefined slope means the line is vertical.
Question 2)
Given the points
(-6, 2)(8, 2)Finding the slope between (-6, 2) and (8, 2)
(x₁, y₁) = (-6, 2)(x₂, y₂) = (8, 2)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [2 - 2] / [8 - (-6)]
= 0 / 14
= 0
Thus, the slope of the line = m = 0.
Note: The zero slope means the line is horizontal.
HeLP with this question please put the answer on a point
Answer:
[tex]x = -1[/tex]
[tex]y = 3[/tex]
Step-by-step explanation:
Given
The attached table
Required
Fill in the blanks
First, we need to calculate the slope
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Where:
[tex](x_1,y_1) = (1/2,1)[/tex]
[tex](x_2,y_2) = (3,-9)[/tex]
So, we have:
[tex]m = \frac{-9-1}{3-1/2}[/tex]
[tex]m = \frac{-10}{3-0.5}[/tex]
[tex]m = \frac{-10}{2.5}[/tex]
[tex]m = -4[/tex]
Next, we calculate the equation:
[tex]y - y_2 = m(x - x_2)[/tex]
This gives:
[tex]y - (-9) = -4(x - 3)[/tex]
[tex]y +9 = -4(x - 3)[/tex]
[tex]y +9 = -4x +12[/tex]
Make y the subject:
[tex]y = -4x +12-9[/tex]
[tex]y = -4x +3[/tex]
So,
When y = 7:
We have:
[tex]y = -4x +3[/tex]
[tex]7 = -4x +3[/tex]
Collect Like Terms
[tex]4x = 3 - 7[/tex]
[tex]4x = -4[/tex]
Divide through by 4
[tex]x = -1[/tex]
When x = 0, we have:
[tex]y = -4x +3[/tex]
[tex]y = -4 * 0 + 3[/tex]
[tex]y = 0 + 3[/tex]
[tex]y = 3[/tex]
help! Very urgent
Fimd the area and the perimeter of this shape
Pls help
Answer:
You can't find the area or perimeter with the information given. If this is a calculus level problem then it is possible.
How many cubic blocks of side length 1/6 inch qould it take to fill a rectangular prism with a length, width and height of 1/3 inch, 2/3 inch, 2/3, respectively
Answer:
32 cubes
Step-by-step explanation:
I would first determine the volume in inches of the rectangular prism.
V = 1/3 x 2/3 x 2/3 = 4/27 cubic inches.
Then I would calculate the volume of the cube with 1/6 inch sides
V = 1/6 x 1/6 x 1/6 = 1/216 cubic inches.
Then I would divide the V of the large prism by the V of the small cube
(4/27) / (1/216) = (4/27) * (216/1) = 32 cubes
The length of a park is 12 kilometers. What is the length of the park in meters?
Answer:
12,000
Step-by-step explanation:
There are 1,000 meters in a kilometer. So, if you have 12 kilometers, that's 12,000 meters.
Answer:
12000
Step-by-step explanation:
One kilometer = 100 meters 12 times 1000 = 1200
What is the Answer please help fast
Answer:
it increases
Step-by-step explanation:
hope this helps <3
Answer:
The answer is it increases
Step-by-step explanation:
Wal-mart is advertising a back to school sale on markers. A pack of 12 sells for $6.97 whereas a 4 pack of the same brand cost for $2.77. Which is the better Buy? How do you know?
Answer:
12 for 6.97 is better
Step-by-step explanation:
for 12 pack
$6.97/12 markers = .58 per marker
for 4 pack
$2.77/4 markers = .69 per marker
thus 12 pack is better, a lower cost per marker
Answer:
12 for $6.97
Step-by-step explanation:
If u get 12 pack for $6.97 its .58 for each marker
If u get 4 pack for $2.77 its .69
And I would prefer to get a 12 pack cuz its cheaper and more markers.
I hope this helped:)
Please help!!:
Write the equation of a line that is perpendicular to y= -1/3 x+6 and passes through the point (3,5).
Answer:
I think
y=1/3x-10/3
Step-by-step explanation:
Perpendicular Lines mean they have the negative reciprocal slope. This line has slope m = -1/3 so the perpendicular line has slope m = + 1/3
Our point is (3, 5)
Now use point slope form to find the equation: (y - y1) = m(x - x1)
(y - 5) = m(x - 3)
(y - 5) = 1/3(x - 3)
y -5=1/3x-10/3
X increased by 61% PLEASE YALL
I think it's
1.61x
plsbrainliest if it helped!
jackie is solving this system of linear questions: 3x+2y= 20
4x-y=30
which equations could be part of the process of solving this system?
4x+6y=20
12x+8y=80
8x-y=60
8x-2y=60
Answer: 12x+8y=80
8x-2y=60
Step-by-step explanation:
The equations that could be part of the process of solving this system are 12x+8y=80 and 8x-2y=60.
The original equation was 3x+2y= 20 and 4x-y=30. Multiplying all through by 4 gives 12x+8y=80 and 8x-2y=60.
If (3a + 3b + 1) (3a + 3b - 1) = 80, then a + b =
Answer:
a+b = 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
3(a + b)^2 = 81
(a + b)^2 = 27
a + b = sq rt 27
a + b = [tex]\sqrt{9}[/tex]· [tex]\sqrt{3}[/tex]
a + b = 3[tex]\sqrt{3}[/tex]
Write the equation of the line that passes through (4,-3) & (3,0)
m =
b =
y =
Answer:
m = -3
b = 9
y = -3x + 9
Step-by-step explanation:
Let us solve the question
∵ The line passes through points (4, -3) and (3, 0)
∵ The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex]
∵ (x1, y1) and (x2, y2) are 2 points on the line
∴ x1 = 4 and y1 = -3
∴ x2 = 3 and y2 = 0
→ Substitute them in the rule of the slope to find it
∵ m = [tex]\frac{0--3}{3-4}[/tex] = [tex]\frac{0+3}{-1}[/tex] = -3
∴ m = -3
∵ The form of the equation of the line is y = m x + b
→ Substitute the value of m in the form of the equation.
∴ y = -3x + b
→ To find b substitute x and y by the coordinates of the point (3, 0) or (4, -3)
∵ x = 3 and y = 0
∴ 0 = -3(3) + b
∴ 0 = -9 + b
→ Add 9 to both sides
∴ 9 = b
∴ b = 9
→ Substitute the value of b in the equation
∵ y = -3x + 9
∴ The equation of the line is y = 3x + 9
Which set of ordered pairs does NOT represent a function?
a. ((-3,9), (-2,4), (-1, 1), (0,0), (1.1), (2. 4). (3.9))
b. (1,3), (2, 6), (3,9), (4, 12). (5. 15))
c. (t.1), (4,2). (9. 3). (16,4). (25, 5))
d. 19.-3), (4, -2), (1, -1), (0.0), (1, 1), (4,2). (9. 3)
The two equilateral triangles below are similar figures. What is the scale factor from the small triangle on the left to the large
triangle on the right? The triangles are not drawn to scale.
Answer:
12 : 58.8 which simplies to 1 : 4.9
Step-by-step explanation:
Triangle ABC is a right triangle. Triangle A B C is a right triangle. Angle A C B is 90 degrees, angle C B A is 31 degrees, and angle B A C is 59 degrees. What is the relationship between angles A and B?
Answer:
see explanation
Step-by-step explanation:
Complementary angles sum to 90°
∠ CBA = 31° and ∠ BAC = 59° , sum to 90° (31° + 59° = 90° )
Thus
∠ A and ∠ B are complementary angles
Answer: They are complementary
Step-by-step explanation: took the test on edge!
It takes 2 minutes to print 3 photos. AT this rate, how many minutes will it take to print 10 photos?
The table below shows the number of strawberries and cups of water
used to make fruit punch according to a certain recipe.
Strawberries Water (cups)
384
30
320
25
How many cups of water are needed for every 1 strawberry? Note:
Your answer may be exact or rounded to the nearest hundredth.
Answer:
5/64 of a cup.
Step-by-step explanation:
Is there two columns of data and two data points? Like this:
Strawberries Water
384 30
320 25
If so, then there are two ways to do it.
1) You can set up a ratio like this
384/30 = 1/x
Where x is the number of cups of water for 1 strawberry.
So,
x = 30/384 of a cup
x = 5/64 of a cup.
2) Look at the increase from one to the other.
64 strawberries requires 5 cups of water
Divide by 5 by 64 to get the water for one strawberry
5/64 of a cup.
please help! it’s due today haha it’s pythagoras
Answer:
x = 6.22 cm
Step-by-step explanation:
The lines on the sides of the triangle means they are the same length
Since it is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
Substituting what we know
a^2 + a^2 = x^2
a=4.4
(4.4)^2 + (4.4) ^2= x^2
19.36 + 19.36 = x^2
38.72 = x^2
Taking the square root of each side
6.222539674 = x
Rounding to 3 significant figures
x = 6.22 cm
I need help i'm a 6th grader! I provided a screenshot. The math is inequalities!
If you know how to explain it please do! You don't have to though
Answer:
A or B
Step-by-step explanation:
[tex]3.5+m<4.6[/tex]
that's what it means
so if we solve it
[tex]3.5+m-3.5<4.6-3.5\\\\m+0<1.1\\\\m<1.1[/tex]
and now we check
[tex]3.5+(1)<4.6(\:something\:less\:than\:1.1)\\\\4.5<4.6[/tex]
which satisfy
now choose an option
it's either A or B
m<1.1 is the answer if you have to highlight the thing that m is less than then B is your answer
if you have to highlight an option that works then it's A
Expand the Expression using the Distributive Property, and then simplify. -1/2(4-2+8x)
The ages of 10 friends are consecutive integers. The sum of their ages is 710. they get together every Tuesday to play cards and enjoy each other's company calculate their ages
Answer:
x = 66.5
x + 1 = 67.5
x + 2 = 68.5
x + 3 = 69.5
x + 4 = 70.5
x + 5 = 71.5
x + 6 = 72. 5
x + 7 = 73.5
x + 8 = 74.5
x + 9 = 84.5
Step-by-step explanation:
Given that :
Age of 10 friends are consecutive integers :
Let the ages be :
x, x+1, x+2, x+3, x+4, x+5, x+6, x+7, x+8, x+9
The sum of their ages = 710
Hence,
x + x+1 + x+2 + x+3 + x+4 + x+5 + x+6 + x+7 + x+8 + x+9 = 710
10x + 45 = 710
10x = 710 - 45
10x = 665
x = 665 / 10
x = 66.5
x + 1 = 67.5
x + 2 = 68.5
x + 3 = 69.5
x + 4 = 70.5
x + 5 = 71.5
x + 6 = 72. 5
x + 7 = 73.5
x + 8 = 74.5
x + 9 = 84.5
It takes 198198198 seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of -418−418minus, 418 meters. The highest place possible is the summit of Mount Everest which has an altitude of 884888488848 meters. It takes 209209209 seconds to boil a perfect egg there. T(a)T(a)T, left parenthesis, a, right parenthesis models the time (in seconds) it takes to boil a perfect egg at an altitude of aaa meters.
Given that,
An egg takes 198 seconds to boil a perfect egg has an altitude of -418 m.
Also it takes 209 seconds at an altitude of 8848 m.
To find,
The domain of T.
Solution,
Domain is the set of input values for which the function is defined. The least value is -418 m and the highest value is 8848 m. So, the domain is :
[tex]-418\le x \le 8848[/tex]
Therefore, this is the required solution.
Answer:
real numbers
−418≤a≤8848
Step-by-step explanation: