Answer:
The domain of a rational function consists of all the real numbers x except those for which the denominator is 0 . To find these x values to be excluded from the domain of a rational function, equate the denominator to zero and solve for x .
Step-by-step explanation:
i google this l M A O
A rational function's domain includes all real numbers x except those with a denominator of zero.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A rational function's domain includes all real numbers x except those with a denominator of zero. To locate these x values that are not in the domain of a rational function, set the denominator to zero and solve for x.
Hence, A rational function's domain includes all real numbers x except those with a denominator of zero.
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Simplify: 5 - 2(3 + 4)
Answer:
-9
Step-by-step explanation:
Hey there!
Well, to simplify,
5 - 2(3 + 4)
Wel need to use PEMDAS,
3+4=7
7 * -2 = -14
5 - 14 = -9
Hope this helps :)
Answer:
-9
Step-by-step explanation:
[tex]5 - 2(3+4)\\5 - 2(7)\\5 - 14\\-9[/tex]
CAN SOMEONE PLS TELL ME DOMAIN AND RANGE
Answers:
Domain is (-4, 3]Range is (-5, 5]=====================================================
Explanation:
The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that [tex]-4 < x \le 3[/tex]. It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).
The interval [tex]-4 < x \le 3[/tex] then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.
It says: x is between -4 and 3. It can't equal -4 but it can equal 3.
So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.
--------------------------------------------------
The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.
The range as a compound inequality is [tex]-5 < y \le 5[/tex]. This condenses into the shorthand of (-5, 5] which is the range in interval notation.
Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.
Answer:
Hello,
Step-by-step explanation:
Domain(f)= ]-4;3]={x€R | -4<x≤3}
Rang(f)=]-5;5]={y€R | -5< y ≤5}
Solve: XC - XV. Show your answer as a Roman Numeral. Standard Number 1 5 10 50 100 500 1,000 Roman Numeral 1 V X Х L с D M A) V B) VI C) VIL
Answer: A
Step-by-step explanation:
What is the area of this triangle?
I can't type it I have to solve on a paper for you
Meguel does not understand which digit is in the tenths location in the number 514.196 Where would it be located at
Answer:
first number after the decimal point
Step-by-step explanation:
after the decimal point is the tenths, hundredths, and thousandths place.
0.1 - tenths
0.09 - hundredths
0.006 - thousandths
Worth 20pts need help right away
Q. Make an equation that describes the table of values below
Ps pls explain work it’s worth 20 pts
Answer:
y=2x+1
Step-by-step explanation:
there's nothing to show, sorry
ask me if you have question
Please answer this question now
Answer:
82 degrees
Step-by-step explanation:
Measure of arc ABC = 86*2 = 172 degrees.
Measure of arc DC = 360 - (145+172) = 360-317 = 43 degrees.
Measure of arc BCD = 121+43 = 164 degrees.
Measure of angle A = 164/2 = 82 degrees
(1,-2),(-2,-5) find the slope and show me how u got it please
Answer:
where m= slope m= -7/3
Step-by-step explanation:
Calculate the volume of the regular triangular pyramid
with the base edges of length 17 feet and a height of
length 5 feet. (Hint: Remember that the base of a
regular triangular pyramid must be an equilateral triangle, not
necessarily congruent to the sides of the pyramid.)
Answer:
70.83 ft³
Step-by-step explanation:
The volume of a pyramid is:
[tex]\frac{bh}{3}[/tex], where b is the base area and h is the height.
Let's first find the area of the base.
[tex]17\cdot5=85\\85\div2=42.5[/tex]
Multiplying this by 5:
[tex]42.5\cdot5=212.5[/tex]
Dividing by 3:
[tex]212.5\div3=70.83[/tex].
Hope this helped!
ILL MARK BRAINIEST IF U DO THIS RIGHT!!!
Answer:
D because even though the flat fee is 150 paying 5$ a hour it will cost less
Question. 1 The product of a monomial and a binomial is a (a) monomial (b) binomial (c) trinomial (d) None of these
Answer:
The answer to this question is (D)
The average of four different positive integers is 9. What is the greatest value for one of the integers?
From the given information; Let the unknown different positive integers be (a, b, c and d).
An integer is a set of element that are infinite and numeric in nature, these numbers do not contain fractions.
Suppose we make an assumption that (a) should be the greatest value of this integer.
Then, the other three positive integers (b, c and d) can be 1, 2 and 3 respectively in order to make (a) the greatest value of the integer.
Therefore, the average of this integers = 9
Mathematically;
[tex]\mathbf{\dfrac{(a+b+c+d)}{4} =9}[/tex]
[tex]\mathbf{\dfrac{(a+1+2+3)}{4} =9}[/tex]
[tex]\mathbf{\dfrac{(6+a)}{4} =9}[/tex]
By cross multiplying;
6+a = 9 × 4
6+a = 36
a = 36 - 6
a = 30
Therefore, we can conclude that from the average of four positive integers which is equal to 9, the greatest value for one of the selected integers is equal to 30.
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The greatest value for one of the four positive integers is 30.
To find the largest positive integer, you have to minimize the other three positive integers.
The least three different positive integers available = 1, 2, 3let the largest positive integer = ythe sum of the four different positive integers = 1 + 2 + 3 + y = 6 + yFind the average of the four positive integers and equate it to the given value of the average.
[tex]\frac{6 + y}{4} = 9\\\\6+ y = 36\\\\y = 36-6\\\\y = 30[/tex]
Thus, the greatest value for one of the positive integers is 30
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please help me with these
Answer:
x= -1
y= 2.5
Step-by-step explanation:
15x+6y=0
4x-6y=-19
19x = -19
x=-1
-15+6y = 0
6y=15
y=2.50
Answer:
19x = -38
x = -2
(-2,5)
Step-by-step explanation:
3(5x + 2y = 0)
2(2x - 3y = -19)
First step is to simplify the equations by using the distributive property.
3(5x + 2y = 0)
distribute the 3 by multiplying 3 by everything inside of the parenthesis
3 * 5x = 15x
3 * 2y = 6y
3 * 0 = 0
first equation simplified: 15x + 6y = 0
2(2x - 3y = -19)
distribute the 2 by multiplying 2 by everything inside of the parenthesis
2*2x = 4x
2 * -3y = -6y
2 * -19 = -38
second equation simplified: 4x - 6y = -38
We acquire the two equations
15x + 6y = 0
4x - 6y = -38
Notice how there are two 6ys, one is negative and the other is positive. When this happens we can add the two equations together and solve for x. We can do this because the two 6ys will cancel out and we will be left with one variable. when there is only 1 variable you can solve it.
So add the two equations
+ 15x + 6y = 0
4x - 6y = -38
--------------------
19x = -38
now solve for x
divide both sides by 19
19x/19 = -38/19
x = -2
Now we need to find the value of y.
To do so simply plug in the value of x into one of the equations and solve for y
4x - 6y = -38
x = -2
4(-2) - 6y = -38
multiply 4 and -2
-8 - 6y = -38
add 8 to both sides
-6y = -30
divide both sides by -6
y = 5
The solution to the system is (-2,5)
problem that would represent
an elevator starts at street
level (main lobby) goes up 6
floors and then back down 8
floors to the parking garage.
1 + 7 - 8 = 0
0 + 8 + (-2) = 6
1 + 6 + (-8) = -1
0 + 6 + (-8) = -2
[tex]\\ \sf \longmapsto 1+6+(-8)[/tex]
Downward motion noted as negative and upward is positive.Lobby will be 1[tex]\\ \sf \longmapsto 1+6+(-8)[/tex]
[tex]\\ \sf \longmapsto 1+6-8[/tex]
[tex]\\ \sf \longmapsto 7-8[/tex]
[tex]\\ \sf \longmapsto -1[/tex]
option c is correct
All of Ralph's ranch land was divided equally among his six children whose daughter land portion of the ranch land was divided among her four children how much of Roslyn was in Inherited by 1 of Lynn's children
Complete question:
All of Ralph's ranch land was divided equally among his 6 children. His daughter Lynn's portion of the ranch land was divided equally among her 4 children. How much of Ralph's ranch land was inherited by 1 of Lynn's children?
Answer:
1 / 24
Step-by-step explanation:
Number of Ralph's children = 6
Number of Lynn's children = 4
If Ralph's land were divided equally among his six children, the fraction each child gets equals
Proportion of land / number of children
= 1 / 6
Therefore, Lynn who is also Ralph's daughter gets 1/6 portion.
If 1/6 is shared equally between her four children, then ;
Her portion ÷ 4
(1/6) ÷ 4
(1/6) × (4/1)
= 1/ 24
Each of Lynn's children gets 1 / 24
Does anyone know this
=================================================
Explanation:
The graph goes on forever to the left and right. This means any real number x can be plugged into the function to get some output y. The domain is the set of all real numbers. In interval notation, we would say [tex](-\infty, \infty)[/tex] which is another way of saying [tex]-\infty < x < \infty[/tex]
The range is y > -100 because the exponential graph steadily approaches this horizontal asymptote. Think of it like an electric fence you cannot touch. Since we never actually get to this y value, this means y = -100 is not part of the range. Your teacher made a typo when they wrote [tex]y \ge -100[/tex] and instead they should have written [tex]y > -100[/tex]. So basically y can be anything larger than -100. The graph may look like it eventually reaches y = -100 itself, but it's actually just getting closer and closer to this y value. To write the range in interval notation, we would say [tex](-100, \infty)[/tex]
This function is exponential because it has the general shape all exponential growth functions do. We have a fairly flat part with very slow growth at first, but then as time goes on, the growth rate increases dramatically resulting in the very steep curve.
Quartic polynomials are 4th degree polynomials. They have the same end behavior as quadratic functions do, since both are even degree polynomials. We don't have a quartic here because the left end behavior isn't going off to positive infinity as the right end behavior is.
Sally's house is located at (5, −1) and her school is located at (−9, 7). Her best friend Molly lives at the midpoint of Sally's house and school. What coordinate represents Molly's house? A. (2, −3) B. (−2, 3) C. (3, −2) D. (−3, 2)
Answer:
B. (-2, 3)Step-by-step explanation:
Given two coordinates (x₁, y₁) and (x₂, y₂), the coordinate of their midpoint is equivalent to X = (x₁+x₂)/2 and Y = (y₁+y₂)/2.
Given the coordinate of Sally's house and her school to be (5, −1) and (−9, 7) respectively, the midpoint of Sall's house and school is expressed as shown;
from the coordinates, x₁ = 5, y₁ = -1, x₂ = -9 and y₂ = 7
X = (5+(-9))/2
X = 5-9/2
X = -4/2
X = -2
Y = -1+7/2
Y = 6/2
Y = 3
The coordinate of the midpoint of Sally's house and school will be expressed as (X, Y) which is equivalent to (-2, 3).
Three friends have been working in a garden. One has worked for 11 hours and the other 2 worked for 7 hours. The garden owner paid $500 for the work that was done. How should this money be divided fairly between the three friends?
Answer:
First should get $220, other two should get $140 each.
Step-by-step explanation:
The ratio of hours the friends worked is 11:7:7. Say that they are paid 11x, 7x, and 7x respectively, therefore:
11x + 7x + 7x = 500
25x = 500
x = 20 so the first friend should get 11 * 20 = $220 and the other two should get 20 * 7 = $140 each.
what are the roots of the quadratic equation below 2x^2+8x+7=0
Answer:
x = -1.29 and -2.71
Step-by-step explanation:
Use the quadratic formula, which is [tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] and [tex]x=\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\frac{-8+\sqrt{8^2-4(2)(7)} }{2(2)}[/tex] and [tex]\frac{-8-\sqrt{8^2-4(2)(7)} }{2(2)}[/tex]
[tex]\frac{-8+\sqrt{8} }{4}[/tex] and [tex]\frac{-8-\sqrt{8} }{4}[/tex]
Further reduced down to:
[tex]\frac{-8+2\sqrt{2} }{4}[/tex] and [tex]\frac{-8-2\sqrt{2} }{4}[/tex]
In decimal form, to the hundredths place, both of these are:
-1.29 and -2.71
what is the length of DI? A 1.4 B 4.4 C 5.6 D 17.6
[tex]\dfrac{DI}{DR}=\dfrac{DE}{DZ}\\\\\dfrac{DI}{6+2.8}=\dfrac{3}{6}\\\\6DI=26,4\\DI=4,4[/tex]
Helen made a scale drawing of the middle school. The gym is 195 inches long in the drawing. The actual gym is 104 feet long. What scale did Helen use?
Answer:
5 inches on the drawing = 32 actual inches
Step-by-step explanation:
195 inches
104 x 12 = 1248 inches
1/39
Answer:
she used a scale of 5 inches to represent 32 inches actual length
Step-by-step explanation:
We are told that helen made the gym to be 195 inches long in the drawing.
Now, we are told that the actual length of the gym is 104 ft long.
Thus, converting to inches,
1ft = 12 inches
So, 104ft = 104 × 12 = 1248 inches
Which means that 194 inches represented 1248 inches.
So the scale is:
195:1248
Dividing both by a common factor of 39 to give a scale of (195/39):(1248/39)
This gives;
5:32
So she used a scale of 5 inches to represent 32 inches actual length
The length of one side of a rhombus is 20 m.Find its perimeter.
Answer:
80 m
Step-by-step explanation:
Given :-
One side of rhombus = 20 m.
[ as one of the property of rhombus = all sides are equal ]
So, perimeter of rhombus = sum of all sides
= 20+20+20+20 = 80 m
...........................OR............................
Perimeter of rhombus = 4 × side
= 4 × 20 = 80 m
Hence, the perimeter of the rhombus is 80m.
Answer:
The perimeter is 80 meters
Step-by-step explanation:
The geometric characteristic of a rhombus is that it has 4 equal sides, then if one side measures 20 m, then each of the other sides measure also 20 m.Then its perimeter (addition of all the sides must render: 4 * 20 m = 80 m
Traveling at a rate of 70 miles per hour, a car travels 26 miles per gallon of gasoline. Traveling at a rate of 45 miles per hour, the same car travels 36 miles per gallon of gasoline. Approximately how many gallons of gasoline are saved on a 300-mile trip if the car is driven at a rate of 45 miles per hour instead of at 70 miles per hour?
A) 2
B) 3
C) 12
D) 20
Answer:
B) 3
Step-by-step explanation:
Traveling at a rate of 70 miles per hour, a car travels 26 miles per gallon of gasoline.
In 300 miles journey the gallon of gasoline consumed will be
300/26= 11.54 gallons
Traveling at a rate of 45 miles per hour, the same car travels 36 miles per gallon of gasoline.
In 300 miles journey the gallon of gasoline consumed will be
300/36= 8.33 gallons
The amount of gasoline saved= 11.54-8.33
The amount of gasoline saved= 3.21
approximately 3 gallons of gasoline
I need domain and range
Answer:
Domain: all real numbers/ (-inf,inf)/ -inf<x<inf
Range: all real numbers greater than -4/ [-4,inf)/ -4≤y<inf
Step-by-step explanation:
the graphs/equations of ALL quadratics (parabolas) have a domain of all real numbers
The vertex of the parabola is at y=-4 so the range cannot be any less than that, and then both ends point up, so they will continue on for infinity.
Hope i could help!
What am I supposed to do when parentheses are side by side like this?
Answer:
Evaluate each expression inside both grouping symbols, then multiply the result.
Step-by-step explanation:
[tex]\displaystyle (3 - 1)(4 + 2) = (2)(6) = 12[/tex]
G - Grouping Symbols
E - Exponents
M\D - Division & Multiplication [left to right]
S\A - Subtraction & Addition [right to left OR vice versa]
I am joyous to assist you at any time.
Find the value of x for which pll q.
Answer:
D) 9
Step-by-step explanation:
These angles are equal to each other because they’re alternate interior angles so:
9x + 8 = 15x - 46
9x - 15x = -46 - 8
-6x = -54
x = 9
The hypotenuse of a right triangle measures nem and one of its legs measures o em.
Mnd the measure of the other leg. If necessary, round to the nearest tenth.
Sun
attempt to
Using Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \sf\longmapsto P^2=11^2-9^2[/tex]
[tex]\\ \sf\longmapsto P^2=121-81[/tex]
[tex]\\ \sf\longmapsto P^2=40[/tex]
[tex]\\ \sf\longmapsto P=\sqrt{40}[/tex]
[tex]\\ \sf\longmapsto P=6.2cm[/tex]
Step-by-step explanation:
Given,
Hypotenuse = 11 cm
Base (One of the given leg) = 9 cm
Therefore,
According to Pythagoras Theorem,
[tex] {base}^{2} + {height}^{2} = {hypotenuse}^{2} [/tex]
[tex] = > {(9)}^{2} + {height}^{2} = {(11)}^{2} [/tex]
[tex] = > {height}^{2} = {(11)}^{2} - {(9)}^{2} [/tex]
[tex] = > {height}^{2} = 121 - 81[/tex]
[tex] = > {height}^{2} = 4 0[/tex]
[tex] = > height = \sqrt{40} [/tex]
=> height = 6.3245553203
When rounded to nearest tenth,
=> height = 6.3
Hence,
Required length of other leg is 6.3 (Ans)
+
If the
sides of a triangles are
6, 8 and n. how
many integer values of n
could be the
measure of the
third side of the triangle?
Answer:
11
Step-by-step explanation:
The sum of the shortest two sides must be greater than the longest side.
If n is the longest side:
6 + 8 > n
14 > n
If 8 is the longest side:
6 + n > 8
n > 2
So n must be an integer greater than 2 and less than 14.
n can be 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, or 13.
There are 11 possible integers.
[tex] \LARGE{ \boxed{ \rm{ \purple{Answer}}}}[/tex]
We know,
Sum of two sides of a triangle > Third side
Then,
⇛ 6 + 8 > n
⇛ 14 > n
Nextly,
Difference of two sides of a triangle < Third side
Then,
⇛ 8 - 6 < n
⇛ 2 < n
Then, Range of third side:
☃️ 2 < n < 14
Possible measures of 3rd sides = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 or 13.
There are 11 possible values of 3rd side. Out of them, any measure is the length of 3rd side.
━━━━━━━━━━━━━━━━━━━━
Solving Inequalities and graphing them.
Answer:
I used to know this not anymore sry g
Please help ME ASAP!!Please explain the answer
Answer:
It seems like you misunderstood the instructions, though I don't blame you because they wrote it strangely. I believe that you're supposed to draw your own conclusion and then explain how you go there, rather than analyze a conclusion that was already drawn for you. If a long drive=a large fare, and you've been told that the driver has a long drive, you can draw the conclusion that "The fare will be large."