Answers
The graph shown represents an absolute function.
The equation of the graph is [tex]\mathbf{y = -\frac 12|x|}[/tex]
Considering the straight on the right, we have the following points
[tex]\mathbf{(x,y) = (0,0) (4,-2)}[/tex]
Start by calculating the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{-2 - 0}{4-0}}[/tex]
[tex]\mathbf{m = \frac{-2 }{4}}[/tex]
Simplify
[tex]\mathbf{m = -\frac{1}{2}}[/tex]
So, the slope of the line is -1/2
The equation is then calculated as:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
This gives
[tex]\mathbf{y = -\frac 12(x -0) + 0}[/tex]
[tex]\mathbf{y = -\frac 12(x)}[/tex]
Represent x as an absolute value
[tex]\mathbf{y = -\frac 12|x|}[/tex]
Hence, the equation of the graph is [tex]\mathbf{y = -\frac 12|x|}[/tex]
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Related Questions
You have 20 quarters. You find 40% more in your room. Then you go to the store and spend 50% of them. How much money do you have left?
Answers
9-3÷ 1/3+1 Pls ya'll i need this for my 8th grade class
Answers
Answer:
9
Step-by-step explanation:
So it kinda easy but ill Just give u the answer :D
Answer:
9-3÷ 1/3+1= 9
Step-by-step explanation:
I can't do solution sorry.
Point G lies between points F and H on Line segment F H.
A line contains points F, G, H. The space between F and G is 4 x. The space between G and H is 2 x.
If the length of FH is 18 units, what is the value of x?
3
4
6
12
Answers
Answer:
it is 3
Step-by-step explanation:
4x+2x=18 so we solve for x which is 3
Answer: A. 3
Step-by-step explanation: On Edge!!
Alybia was making 115 cookies for a Valentine’s Day party. They were each either red or purple. Forty percent of the cookies were red. How many cookies were purple?
Answers
Answer:
69 purple cookies!
Step-by-step explanation:
16-?=2+6 solve for the missing number
Answers
Answer:
8
Step-by-step explanation:
trust
Answer:
8
Step-by-step explanation:
16-?=2+6
First, we add the right side .
16-?=8
Now that it's easier to solve, we can figure out you need to subtract 8 from 16 to get 8.
16-8=8
Pls help me answer this question
Answers
x=
d+a
——
b+c
Answer above
A Carpenter wants to build a elliptical table top from a 4 foot to by 6 foot sheet of plywood. she traces out the ellipse using a string attached to thumbtacks located at the foci of the ellipse.
Answers
The thumbstacks have an in-between distance of [tex]2\sqrt{5}[/tex] feet.
The distance between any focus and the center of the ellipse ([tex]c[/tex]), in feet, is described by the following expression:
[tex]c = \sqrt{a^{2}-b^{2}}[/tex] (1)
Where:
[tex]a[/tex] - Major semiaxis length, in feet.[tex]b[/tex] - Minor semiaxis length, in feet.If we know that [tex]a = 3\ft[/tex] and [tex]b = 2\,ft[/tex], then the distance between focus and center is:
[tex]c = \sqrt{3^{2}-2^{2}}[/tex]
[tex]c = \sqrt{5}[/tex]
The distance between the thumbstacks is described by this expression:
[tex]d = 2\cdot c[/tex]
[tex]d = 2\sqrt{5}\,ft[/tex]
The thumbstacks have an in-between distance of [tex]2\sqrt{5}[/tex] feet.
We kindly invite to check this question on ellipses: https://brainly.com/question/14281133
Vivi is 40 floors from the top of her building. If she starts at the bottom and runs up 5 floors every 20 seconds, how far is she from the top of the
building after 90 seconds?
O 12 floors
• ,14
floors
17 floors
19.
O
floors
Answers
Answer:
17 floors
Step-by-step explanation:
1 floor every 4 seconds.
90/4 = 22.5
40 - 22.5 = 17.5
17.5 is 17ish floors, and is the only answer that is close to 17 floors.
Find the limit: .3,2.33,2.333,2.3333
Answers
Answer:
2 1/3
Step-by-step explanation:
The value of the fraction that is an infinite sequence of 3s is 1/3. As more 3s are added to the fraction, it comes closer to 1/3.
The limit is 2 1/3.
Find the following for the nth term of the following geometric sequence, as an expression of n:
3, 15, 75, 375
Answers
Answer:
[tex]15^{n-1}[/tex]
Step-by-step explanation:
First , Let's find the common ratio of this sequence.
[tex]\frac{15}{3}=5\\\frac{75}{15} = 5\\\frac{375}{75} = 5[/tex]
SO,
r = 5
Now let's use this formula to find the n th term
[tex]T_n = ar^{n-1}[/tex]
Here,
a = first term
r = common ratio
Let's find,
[tex]T_n = 3*5^{n-1}[/tex]
[tex]T_n =15^{n-1}[/tex]
Therefore,
the n th term is,
[tex]15^{n-1}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Answer:
[tex]a_{n}[/tex] = 3[tex](5)^{n-1}[/tex]
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
15 ÷ 3 = 75 ÷ 15 = 375 ÷ 75 = 5
This indicates the sequence is geometric with nth term
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 3 and r = 5 , then
[tex]a_{n}[/tex] = 3 [tex](5)^{n-1}[/tex]
What is the y-intercept of a line that has a slope of -3 and passes through point (0, -7)?
A. -7
B. -3
C. 0
D. 4
Answers
Answer:
-7
Step-by-step explanation:
The y-intercept is where the x value is 0.
b. (a+b)x 1= (a+b)
What property is this?
Answers
evaluate the function when x equals -6, 4, 1.
Answers
Answer:
- 26 , 4 , - 5
Step-by-step explanation:
Substitute the given values of x into s(x) , that is
s(- 6) = 3(- 6) - 8 = - 18 - 8 = - 26
s(4) = 3(4) - 8 = 12 - 8 = 4
s(1) = 3(1) - 8 = 3 - 8 = - 5
Find the number that makes the ratio equivalent to 6:3 :9
Answers
Explanation: All of the numbers are divisible by 3 and so is 12. So 12 will make the ratio equivalent.
Last semester, Zachary earned an average score of 80 points on math tests. So far this semester, his average score is 15% lower. What is the average of Zachary's scores this semester?
Answers
Answer:
The answer would be 12
Step-by-step explanation:
15/100 = X/80
To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 80, and then finally divide the numerator by the denominator on the right side to get the answer.
The equation
15/100 = X/80
X/80 = 15/100
X*80/80 = 15*80/100
X = 1200/100
X = 12
Using the figure below, find the area of the circle.
Answers
radius = 5 cm
area of circle = πr2
= (3.142)(5)^2
=78.55 cm^2
Answer:
Step-by-step explanation:
Diameter of the circle = Side of the square = 10 cm
radius = r= 10/2 = 5 cm
Area = πr²
= 3.14*5*5 = 78.5 cm²
A painter needs to find the area of
the gable end of a house. What is
the area of the gable if it is a triangle with two sides of 81 feet that meet at a 112° angle?
Answer = [?]ft^2 (Acellus!)
Answers
Answer:
3042
Step-by-step explanation:
1/2 * 81 * 81 * sin(112) = 3041.6266
The area of the triangular gable is 6083.25 ft².
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the area of a triangle with two sides a and b and angle C is,
(a×b×sinC).
Given, A painter is painting the gable end of a house which is a triangle with two sides of 81 feet that meet at a 112° angle.
∴ The area of the triangular gable is = (81×81×sin112°).
= (81)²sin112°.
= (81)²×0.928 ft².
= 6083.25 ft².
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why are prefixes used in naming covalent compounds
A. oxidation states of the atoms are identified with prefixes
B. the atoms can have different numbers of valence electrons
C. the prefixes identify the only way the atom can combine
D. the same atoms can combine in more than one ratio
Answers
Answer:
the atoms can have different numbers of valence electrons
The length of the minute hand of a clock is 14cm. find the area it covers in 30 minutes.
Answers
(I am not sure if this is right)
What is an equation of the line that passes through the points (-6,3) and (-5,2)
Answers
Answer:
y=-x-3
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the points (-6,3) and (-5,2)
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptPoint-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negativeThe most common way to write the equation of the line is in slope-intercept form, so let's do it that way.
First, we'll need to find the slope of the line
The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
Although we already have 2 points, let's label their values in order to avoid confusion later:
[tex]x_1= -6\\y_1=3\\x_2=-5\\y_2=2[/tex]
Now substitute these values into the formula to find slope (m):
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute (remember: we have NEGATIVE numbers, but the formula calls for SUBTRACTION, so we'll end up subtracting a negative):
m=[tex]\frac{2-3}{-5--6}[/tex]
Simplify:
m=[tex]\frac{2-3}{-5+6}[/tex]
Add/subtract the numbers together:
m=[tex]\frac{-1}{1}[/tex]
Divide
m=-1
We can substitute this as m in y=mx+b:
y=-1x+b, or y=-x+b
We need to find b now
Since the equation passes through both (-6, 3) and (-5, 2), we can use either point to solve for b
Taking (-6, 3) for example:
Substitute -6 as x and 3 as y
3=-1(-6)+b
Multiply
3=6+b
Subtract 6 from both sides
-3=b
Substitute -3 as b into the equation
y=-x-3
Hope this helps!
What is the slope of the line that passes through the points (-6,-7) and (-25, -7)
Answers
Answer:
slope is 0
Step-by-step explanation:
(-6,-7) and (-25, -7)
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(-7 - (-7) / (-25 - (-6))
Simplify the parentheses.
= (-7 + 7) / (-25 + 6)
= (0) / (-19)
Simplify the fraction.
= 0/-19
= 0
This is your slope.
This means your line is a horizontal line.
Alyssa bought a bag containing 60 small candies. She starts eating the candies at a rate of 5 candies per minute. Answer the questions below regarding the relationship between the number of minutes eating and the number of candies left in the bag.
Answers
Answer:
for every 10 she eats the minutes are even
Step-by-step explanation:
( i honestly dont know how to explain the relationship but i did the math for it)
it would take 12 mins to eat all 60 candies
55 candies : 1 min
50 candies : 2 mins
40 candies : 4 mins
30 candies : 6 mins
20 candies : 8 mins
10 candies : 10 mins
0 candies : 12 mins
answer the following question in the picture
Answers
Answer:
x = 16
Step-by-step explanation:
5x - 7 = 8x - 55
+55 +55
5x + 48 = 8x
-5x -5x
48/3 = 3x/3
16 = x
Please help me with this homework
Answers
2. 71 x 4 = 284
3. 81 x 5 = 405
4. 42 x 5 = 210
Hope this helps
Brainliest is appreciated :)
The population of Town A is 1.26 x 10^5 people. The population of Town B is 2.8 x 10^4 people. How many times greater is the population of Town A than the population of Town B?
Answers
Answer:( 1.26 x 10 ^ 5 ) / ( 2.8 x 10 ^ 4 ) = 4.5 times bigger
Step-by-step explanation:
You can drive 90 miles in 1/4 of a tank of gas in 1 hour.
Answers
Answer:
Step-by-step explanation: 1/4 will be about 4-5 with the reserve. You should be able to cover about 120 — 150 miles on that. Don't push your luck. Always keep your tank at least half full.
The line lowest to the bottom would mean you have 1/4 of a tank of gas and you should probably fill up soon, below 1/4 would be close to 1/8 of a tank which means get gas now.
A fraction (mathematics) of one fourth, one quarter, 25% or 0.25.
one of the four equal or equivalent parts into which anything is or may be divided. 2. a fourth part, esp. of one (¼).
One-fourth is also called a quarter.
To find one quarter of a number divide the number by 4. So 1640 divided by 4 is 410.
The number of miles travelled by the vehicle in full tank will be 360 miles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that you can drive 90 miles in 1/4 of a tank of gas in 1 hour. The number of miles will be calculated as,
Number of miles in full tank = 4 x 90
Number of miles in full tank = 360 miles
Hence, in a full tank, the vehicle can travel 360 miles.
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In a scaled diagram, 1 inch represents 20 feet.
How many square inches on the diagram
represent 1 square foot?
Answers
Answer:
240
Step-by-step explanation:
1 foot=12 inches.
12 inchest times 20=240
In 1 square feet there will be 0..0025 inches on the scaled diagram.
What is unit conversion of measurement?Conversion of one unit to another unit of measurement for the same quantity using multiplication/division by conversion factors is known as unit conversion of measurement.
For example,
1 kg = 1000g
⇒ 1 gm = 1/1000kg
According to the given question.
1 inch = 20 feet.
⇒ [tex]1 feet = \frac{1}{20} inch[/tex]
⇒[tex]1^{2} (feet)^{2} = (\frac{1}{20} )^{2} (inch)^{2}[/tex]
⇒ 1 square feet = 1/400 square inches
⇒ 1 square feet = 0.0025 square inches
Hence, in 1 square feet there will be 0..0025 inches on the scaled diagram.
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Write and solve a real-world problem that can be represented by the expression (−3)(5 ) + 10.
Answers
Answer:
• The smart phones produced by Samsung in 30 minutes reduce from 10 by 15 times
Step-by-step explanation:
[tex] = ( - 3)(5) + 10 \\ = - 15 + 10 \\ = - 5[/tex]
Can i have help please
Answers
Answer:
hope it helps you.........
1. a⁵ ÷ a³ = a²
2. c⁴/c³ = c¹ = c
By the equations:
[tex] {x}^{m} \div {x}^{n} = {x}^{m - n} [/tex]
Given this quadratic equation, 2x^2-x-28=0,
List the factors of this equation.
Determine the x-intercepts.
Answers
[tex]\\ \sf\longmapsto 2x^2-x-28=0[/tex]
[tex]\\ \sf\longmapsto 2x^2-8x+7x-28=0[/tex]
[tex]\\ \sf\longmapsto 2x(x-4)+7(x-4)=0[/tex]
[tex]\\ \sf\longmapsto (2x+7)(x-4)=0[/tex]
[tex]\\ \sf\longmapsto x=7/2\:or\:x=4[/tex]
