Remember
Domain is set of x valuesRange is set of y valuesHere
there is no starting or ending point
so domain is
(-oo,oo)
The domain of the absolute value function given is (-∞, +∞).
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Domain of a function is the set of all the input values and the range of the function is the set of all the output values.
Given is an absolute value function.
Absolute value functions are functions which has the absolute value symbols in the expression.
From the graph, we can see that the value of x moves from negative infinity to infinity.
Domain of the function is the set of input values which is the set of values of x.
So the domain is (-∞, +∞).
Hence the domain is (-∞, +∞).
Learn more about Absolute Value Function here :
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Use the given scale factor in the side length of the scale drawing to determine the side links of the real object
Answer:
A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long
Step-by-step explanation:
Here is the complete question. Please find attached a diagram showing the scaled and real drawing
Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object
A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long
B. side a is 30 inches long, side b is 25 inches long, and side c is 20 inches long
C. side a is 40 inches long, side b is 35 inches long,and side c is 20 inches long
D. side a is 175 inches long,side b is 150 inches long, and side c is inches long
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
The scaled drawing is an enlarged image of the original triangle.
It is enlarged at a ratio of 5:1
original dimensions
a = 35/5 = 7
b = 30 / 5 = 6
c = 15/5 = 3
Kendra is starting a science experiment. She will grow salt crystals in a clear plastic box. The inside of Kendra's box is 9 inches long and 5 inches wide. Kendra pours salt water into the box to a height of 4 inches. What is the volume of salt water in the box?
Answer: the answer is 375.5906
Step-by-step explanation:
The radius of a circle is 14 millimeters. What is the circle's area?
Answer:
Step-by-step explanation:
use formula,
area of circle=π(r)^2
=3.14*(14)^2
=3.14*196
=615.44 millimeters
Luis, Pedro y Ernesto fueron a comer pizza. Entre Luis y Ernesto comieron el doble que Pedro. Pedro comió el doble que Ernesto. Entre los 3 se comieron una pizza ¿Qué porción se comió cada uno?
Answer:
Luis comió 1/2 pizza, Pedro comió 1/3 pizza y Ernesto comió 1/6 pizza.
Step-by-step explanation:
Dado que Luis, Pedro y Ernesto fueron a comer pizza, y entre Luis y Ernesto comieron el doble que Pedro, y Pedro comió el doble que Ernesto, y entre los 3 se comieron una pizza, para determinar qué porción se comió cada uno se debe realizar el siguiente cálculo:
L + P + E = 1
L + E = 2P
P = 2E
L + E = 4E
L = 4E - E
L = 3E
3E + 2E + E = 1
6E = 1
E = 1/6
E = 0.166
P = 0.166 x 2
P = 0.333
L = 0.166 x 3
L = 0.5
L = 1/2
Por lo tanto, Luis comió 1/2 pizza, Pedro comió 1/3 pizza y Ernesto comió 1/6 pizza.
Jackie, Morgan, kyle and Chung ran the 100 meter dash. Jackie finished in 17.6 sec, Morgan finished in 17.06 sec, kyle finished in 17.66 sec, and chung finished in 17.066. Wich of them finished in the least amount of time
Answer:
Morgan (17.06 secs)
Step-by-step explanation:
Jackie, morgan, Kylie and chung ran the 100 meter dash race
Jackie finished the race in 17.6 secs
Morgan finished the race in 17.06 secs
Kylie finished the race in 17.66 secs
Chung finished the race in 17.066 secs
Hence Morgan finished the race in the least amount of time in 17.06 seconds
in a box of pens, 30% of them are blue, 45% are red and the rest are black. if there are 360 red pens, find the total number of pens.
Answer:
800
Step-by-step explanation:
Please provide an explanation.
Answer:
-9
Step-by-step explanation:
In a linear equation like this, the first number is the slope and the last number is the y-intercept
Problem 1: Your new computer cost $1500 but it depreciates (decreases)
in value by about 18% each year. How much does it cost after 15 years?
a) Does this equation represent growth
or decay? Circle one.
growth decay
b) Identify the initial amount
c) Identify the growth or decay rate
d) Write an exponential function to
model the situation
Y = A (1 r)'
e) How much does the computer cost
after 15 years?
Students, draw anywhere on this slide!
PLEASE HELP ASAP!!
find the value of y.
2
2weridcheckthing2
3
6checkthing2
Answer:
[tex]2\sqrt{2}[/tex]
Step-by-step explanation:
A^2 + B^2 = C^2
1^1 + y^2 = 3^3
1 + y^2 = 9
y^2 = 8
y = [tex]2\sqrt{2}[/tex]
Indicar cuál digito está en la posición de las centenas y cuál está en la posición de las unidades.
2.698
Answer:
cantenasjajsjjsjjsjjsnnxkksnjdjidnnkjjdjjsjjjsjndnndkksjm
A) By how many % did 40 increase to 70?
B) By how many % did 70 decrease to 40
Answer:
A. by 3 percent
B. by 3 percent
Answer:
A) 75% increase
B)42.8571% decrease
Step-by-step explanation:
The formula to do this is to subrtact the final value-starting value then divide by the starting value and finaly multiply by hundred
it should look like this
[tex]\frac{finalvalue-starting value}{starting value} *100[/tex]
Solve the following equation for x: 3x - 8 = 25
Answer:
x = 11
Step-by-step explanation:
First you isolate the 3x to one side by adding 8 to both sides, this then gives us the equation 3x = 33, then you divide 33/3 which equals 11
mary drew a picture of a building. she used the scale shown 1 in:16 ft. the building in her pictures 9 inches tall. what is the height, in feet, of the actual building.
Answer:
okay
i am not sure the answer but hi i am ok
Write 0.00005974 in scientific notation.
Answer:
Step-by-step explanation:
For correct scientific notation, we need to have 1 number to the left of the decimal, and everything else to the right. Since our number is already less than 1, the exponent representing the number of places we move the decimal will be negative. We have to move the decimal 5 places to the right to get the 5 to the left of the decimal and everything else to the right, making this:
[tex]5.974*10^{-5[/tex]
Graph the system of equations, and determine the solution.
x+5y=5
2x+10y=60
Step-by-step explanation:
the systems have no solution
the lines are parallel each other
graph as attached
find the value of x
answers
118
62
82
28
Answer:
118°
Step-by-step explanation:
Don't think the answer is 62° this time both 118° and angle x are congruent.
What do I mean by that? Both angles measure the exact same thing.
The only difference is their line length (n) and (m).
Find the slope-intercept equation of the line that passes through (2,-5) and has a slope of 1/3
Answer:
y = 1/3x - 17/3
Step-by-step explanation:
Given:
Passes through (2, -5)
m = 1/3
Slope-intercept:
y - y1 = m(x - x1)
y - (-5) = 1/3(x - 2)
y + 5 = 1/3x - 2/3
y = 1/3x - 17/3
what is the vertex of this quadratic?
Answer:
(-3,0)
Step-by-step explanation:
The vertex is the maximum of a downward facing parabola
The maximum is (-3,0)
what is the percentage of (1)/(2)
Answer:
50%
Step-by-step explanation:
1 whole = 100%
1/2 of a whole = 1/2 × 100%
= 50%
Find the value for the given variables. Give the variables in simplest radical form.
[tex] \huge\boxed{ \boxed{\mathrm{ \underline{Answer}࿐ }}}[/tex]
The given triangle is a right angled triangle,
so let's apply trigonometry here :
[tex] \sin(30) = \dfrac{7}{y} [/tex][tex] \dfrac{1}{2} = \dfrac{7}{y} [/tex][tex]y = 7 \times 2[/tex][tex]y = 14 \: \: units[/tex]Now,
[tex] \cos(30) = \dfrac{x}{y} [/tex][tex] \dfrac{ \sqrt{3} }{2} = \dfrac{x}{14} [/tex][tex]x = \dfrac{14 \sqrt{3} }{2} [/tex][tex]x = 7 \sqrt{3} [/tex][tex]x = 12.12 \: \: units[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Subtract the polynomials.
( x^6 -2x^5 –x^3 — 7) – (3x^6 - 3x^5 -2x^ 2 – 5)
Answer: -2x^6+x^5-x^3-2+2x^2 Hope that helps!
Step-by-step explanation:
1. Remove Parentheses x^6-2x^5-x^3-7-3x^6+3x^5+2x^2+5
2. Collect like terms (x^6-3x^6)+(-2x^5+3x^5)-x^3+(-7+5)+2x^2
3. Simplify and your answer would be -2x^6+x^5-x^3-2+2x^2
A truck is 48 ft. long and 10 ft. wide. The owner wants to paint a red stripe around the outside of the truck. How long is the stripe? Please explain
In a geometric sequence, the ratio between consecutive terms is...
========================================================
Explanation:
Consider an example like 3, 6, 12, 24, 48, ...
The ratio between consecutive terms is
6/3 = 212/6 = 224/12 = 248/2 = 2Each time we divide any given term over its previous one, we get the same ratio 2. We call this the common ratio. In terms of notation, the variable r is used for the common ratio, so r = 2 in this case.
As another example, the geometric sequence 5, 50, 500, 5000, ... has r = 10 as the common ratio because we multiply each term by 10 to get the next one. Moving forward has us multiply by r, moving backward and we divide by r. The value of r cannot be zero, but it can be negative.
An example with r being negative would be something like
1, -1, 1, -1, 1, -1, ....
we just bounce back and forth between those two values. In this case, r = -1.
PLEASE SEE ATTACHED
THANK YOU!!!
Answer:
use waymath but type it the other way around
Step-by-step explanation:
Answer:
1) it's a circle, (4x + 12)² + (2y - 2)² = 64
2) it's a circle, (x + 4)² + (y - 3)² = 40
3) it's a parabola, (x + 3)² = -4(y - 1)
Step-by-step explanation:
Equation of a circle: (x - h)² + (y - k)² = r²
factorize the equation:
1) => 16x² + 96x + 144 + 4y² - 8y + 4 + 84 = 144 + 4
=> (4x + 12)² + (2y - 2)² = -84 + 144 + 4
=> (4x + 12)² + (2y - 2)² = 64 (equation of the circle)
Graph the circle using the radius and the center.(& compass for drawing circles)
=>(4x - (-12))² + (2y - 2)² = 8²
(x - h )² + (y - k)² = r²
Center: (h, k) => (-12, 2)
Radius: √r² => √64 = 8
2) => x² + 8x + 16 + y² - 6y + 9 - 15 = 16 + 9
=> (x + 4)² + (y - 3)² = 15 + 16 + 9
=> (x + 4)² + (y - 3)² = 40 (equation of the circle)
Graph the circle using the radius and the center.(& compass for drawing circles)
=> (x - (-4) )² + (y - 3)² = 40
(x - h )² + (y - k)² = r²
Center: (h, k) => (-4, 3)
Radius: √r² => √40 ≈ 6.32
Equation of a parabola facing down: (x - h)² = 4a(y - k)
3) => x + 6x + 9 = -4y - 5 + 9
=> (x + 3)² = -4y + 4
=> (x + 3)² = -4(y - 1) (equation of the parabola)
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
=> (x - (-3))² = 4 × -1(y - 1)
(x - h )² = 4 × a(y - k)
Vertex: (h, k) => (−3, 1)
Focus: (h, k + a) => (-3, 1 + (-1)) => (−3, 0)
Axis of Symmetry: x = h => x = −3
Directrix: y = k - a => y = 1 - (-1) => y = 2
x | y
−5 | 0
−4 | 3/4
−3 | 1
−2 | 3/4
−1 | 0
(graphs in the pictures below)
While walking outside on a field trip 75%, or 15, of the students in the class wore jackets. Find the number of
students in the entire class.
Answer:
20
Step-by-step explanation:
Do 15 divided by 0.75
solve the system using the elimination method
2x + 3y = 12
15x -3y = 39
Answer:
x=3 y=2
Step-by-step explanation:
Step one:
Add both equation
2x+3y=12
+ 15x-3y=39
___________
17x=51
x=3
Step 2: After finding the answer for x, plug it into the first equation to find the value of y
2(3)+3y=12
6+3y=12
3y=6
y=2
What is the volume of this prism?
28 cubic units
9 cubic units
17 cubic units
==================================
Work Shown:
L = 5 = length
W = 2 = width
H = 1.7 = height
V = volume
V = L*W*H
V = 5*2*1.7
V = 17 cubic units
Which phrase represents the algebraic expression for r + 12?
A. The difference of a number and twelve.
B. The product of a number and twelve.
C. The quotient of a number and twelve.
D. The sum of a number and twelve.
Answer:
I guess d is the answer . cause the sum of a number (a number added to something) represented by a variable is added to twelve
Please I need help?!?!?!?!?!
Answer: y=7
Step-by-step explanation:
Using the formula: (y - y1) = 0 (x - x1)
Substitute x1 with -2, and y1 with 7 and set the slope as 0.
Y-7=0(x-(-2))
Y - 7 = 0 (x + 2)
Anything times 0 = 0, so cancel out the -2.
Y-7=0
Add the 7 to the 0.
Y = 7
The equation of the line of best fit of a scatter plot is y = 6x − 9. What is the slope of the equation?
–6
–9
9
6
Answer:
6
Step-by-step explanation:
In y=mx+b, m is the slope. 6 is in the place of m so 6 is the slope