Answers
Answer: Choice E
[tex]x \ne -4, -1[/tex]
This is the same as saying [tex]x \ne -4 \text{ and } x \ne -1[/tex]
======================================================
Reason:
If we plugged x = -4 into the function, then the x+4 in the denominator turns to 0.
x+4 = -4+4 = 0
Dividing by zero is not allowed. It leads to a division by zero error. Therefore, we need to exclude -4 from the domain. Similar reasoning will exclude -1 as well because it makes the x+1 in the denominator to be zero.
Any other x value is valid.
Side note: The (x+1) terms cancel, which may appear that x = -1 is valid. However, your calculator will likely not perform such a simplification. It will simply try to directly compute the result using PEMDAS. That means x = -1 is likely to produce a division by zero error.
Related Questions
Can someone help me with this easy math problem.
Answers
It's a geometric sequence
common ratio=r=84/21=4First term 1.3125Formula:&
[tex]\\ \sf\longrightarrow a(n)[/tex]
[tex]\\ \sf\longrightarrow ar^{n-1}[/tex]
[tex]\\ \sf\longrightarrow 1.3125(4)^{n-1}[/tex]
the ratio of boys to girls in mrs.cunnginghams class is 2 to 3. there are 18 girls in the class. what is the total number of students in mrs.cunninhams class
Answers
Answer:
The total number of students that are in Ms. Cunningham's class is 30 students
Step-by-step explanation:
the number of boys are represented by X
18 divided by 3 is 6
2 times 6 is 12.
12 plus 18 is 30.
Total number of students = 12 + 18 = 30
Help please! I keep going down on ixl and I’ve been trying to do this ixl since yesterday so ima post a lot of these.
Answers
u can add lines to split the figure into a triangle and two rectangles.
Area of the figure
= (12x15)/2 + 6x4 + 2x5
=124 yd^2
An airplane flies with a constant speed
of 820 miles per hour. How far can it
travel in 3 1/2 hours?
Answers
2870 miles
D= s x t
= 820 x 3.5
=2870
Hope this helps!
Question 3:
Solve for e.
m=-2e+c/3
Answers
Answer:
5
Step-by-step explanation:
1. the height of a right triangular prism is inches. each side of the triangular base measures 10 inches, and the height of the base is inches. the triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube. what is the surface area of the solid formed?
Answers
The surface area of the solid formed by the triangular prism and cube will be 598.33 square inches.
What is a prism?A prism is a closed solid that has two parallel bases connected by a rectangle surface.
The height of a right triangular prism is 11/6 inches.
Each side of the triangular base measures 10 inches, and the height of the base is 26/3 inches.
The triangular prism is placed at top of a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.
Then the surface area of the prism will be
[tex]\rm Surface \ area = 5 \times (10 \times 10) + 0.5 \times 10 \times \dfrac{26}{3} + 3 \times 10 \times \dfrac{11}{6}\\\\\\Surface \ area = 598.33\ in^2[/tex]
More about the prism link is given below.
https://brainly.com/question/12649592
help please 4(2x-1)+3=8x+1
Answers
Use the distributive property:-
4(2x-1)
8x-4
8x-4+3=8x+1
8x-8x-4+3=1
8x-8x-1=1
0-1=1
-1=1
Wait, what? -1 is equal to 1?
Hence, the equation has no solutions.
Hope it helps :)
 Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Answers
Answer:
third side: 2√14
using pythagoras theorem:
a² + b² = c²
t² + 5² = 9²t² + 25 = 81t² = 81 - 25t² = 56t = √56t = 2√14Answer:
The unknown side of this triangle is √56 or 2√14
Step-by-step explanation:
Let the unknown side of this right angled triangle be x , so by using Pythagoras theorem we can find out the third side .
=> P² + B² = H²
=> P² = H² - B²
=> P² = 9² - 5²
=> P² = 81 - 25
=> P² = 56
=> P = √56 or 2√14
question number 4 please help
Answers
Answer:
The correct answe is H , if yu sub the x value in each of the equations yu should get y
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex]
m = the slopeb = the y-intercept (the value of y when x=0)To find the slope of a line (m):
Find the coordinates of two points that fall on the linePlug them into the following formula:[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of the pointsTo find the y-intercept of a line (b):
Plug the slope into [tex]y=mx+b[/tex]Plug in one of the pointsSolve for bSolving the Question
We're given a set of coordinates for this linear relation.
First, solve for the slope.
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
⇒ Plug in any two points that fall on the line (in this case we used (-2,-7) and (2,1)):
[tex]m=\dfrac{1-(-7)}{2-(-2)}\\\\m=\dfrac{1+7}{2+2}\\\\m=\dfrac{8}{4}\\\\m=2[/tex]
Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex]:
[tex]y=2x+b[/tex]
Now, let's solve for the y-intercept (b)
[tex]y=2x+b[/tex]
Plug in any of the given points:
[tex]1=2(2)+b\\1=4+b\\b=-3[/tex]
Therefore, the y-intercept of the line is 3. Plug this back into [tex]y=2x+b[/tex]:
[tex]y=2x-3[/tex]
Answer[tex]y=2x-3[/tex]
If the mean absolute deviation is a really
large number, then what does that mean about
the data set?
Answers
Answer:
The data is more spread out so their is a greater variability in the data.
Step-by-step explanation:
The Mean absolute deviation is large, then the data is more spread out and there is greater variability in the data.
What is mean absolute deviation?Mean absolute deviation is "collected data set is the average of absolute deviations from the center point of the data set".
According to the question,
Formula for Mean absolute deviation = summation of ( absolute value of xₙ - x⁻ divided by number of data values), where ' xₙ' is the input data values and 'x⁻ ' is mean of the given data values .
When the mean absolute deviation is large number then the data spread out more and the variability is greater in data.
Hence, the Mean absolute deviation is large then there is greater variability in the data.
Learn more about Mean absolute deviation here
https://brainly.com/question/4364130
#SPJ2
for f(x)=4x+2, what value of x makes f(x)=-14
Answers
Hey there,
f(x) = 4x + 2
what value of x makes f(x) = -14?
Answer :x = -4 ✅
Explanations:f(x) = 4x + 2
>> We want f(x) to be equal to -14:
4x + 2 = -14
>> Substract 2 from both sides :
4x + 2 - 2 = -14 - 2
4x = -16
>> Divide both sides by 4:
4x/4 = -16/4
x = -4
✅
Have a good day ;)
Answer:
x = -4
Step-by-step explanation:
Given:
f(x) = 4x + 2If the value of f(x) is -14,
⇒ 4x + 2 = -14 [f(x) = 4x - 2 and -14]
To simplify the equation, we need to isolate the variable completely. Start out by subtracting 2 both sides. This will isolate "x" and the cooeficient of x.
⇒ 4x = -14 - 2⇒ 4x = -16Then, divide 4 both sides to isolate the cooeficient of x on one side and a constant on the other side. The constant will be the value of x.
⇒ 4x/4 = -16/4⇒ x = -4Thus, -4 is the value of x that makes f(x) equivalent to -14
4. Sebastian's lemonade recipe uses 4 cups
of water and 1 cup of lemon concentrate.
What is the percentage of the lemonade
recipe that is lemon concentrate,
Answers
1/5 = 0.2
0.2 = 20%
In this unit, you’re working with a variety of methods for solving quadratic equations. Which method do you prefer over the others? Describe the method in your own words, and give an example of a quadratic equation that could be solved with this method. Show and explain the steps for solving the equation.
Answers
Answer:
I believe using the formula is the best method.
Step-by-step explanation:
If I am able to remember the formula this becomes the easiest method in my opinion. It is very simple and anyone can do it if the know basic algebrA.
whats 2+7
a. 14
b. 19
c.88383838837
Answers
Answer:
9
Step-by-step explanation:
Was this a joke or something
whats 50% of 1/2 of a mile
Answers
Answer:
0.25 or 1/4
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
Half of half a mile is one quarter mile: (1/2)(1/2) = 1/4
At an assembly 7 out of the first 10 students who entered the gym were carrying a backpack. Based on this information, if 70 students were at the assembly, how many students could be expected to be carrying a backpack?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answers
Answer:
Step-by-step explanation:
49
Find the slope of the line that passes through the points (-1, 2),
(0, 5). Show work
Answers
To find the slope:
⇒ must know the slope's formula
⇒ [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
⇒ [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] are any points on the line
⇒ we use (-1,2) and (0,5) since they are the only points that we
know that are on the line
[tex](x_{1} ,y_{1} )[/tex]: (-1,2)[tex](x_{2} ,y_{2}[/tex]): (0,5)Let's solve:
[tex]Slope = \frac{5-2}{0--1} =\frac{3}{1}[/tex]
Slope is 3
Hope that helps!
The volume of a sphere is 29307 cubic centimeters. What is the radius of the sphere?
Round to the nearest whole number.
Answers
Answer:
19 cubic centimeters
Step-by-step explanation:
The equation for the volume of a sphere is [tex](4/3)\pi r^3[/tex].
We can setup the equation as [tex]29307 = \frac{4}{3}\pi r^3[/tex].
Now we need to isolate the r^3. Divide both sides by 4/3 and pi, which leaves [tex]\frac{29307}{(4/3) \pi } =r^3[/tex]
Now we take the cube root of both sides to have a single r on the right side. This comes out to equal 19 cm^3
You want to paint the four walls in your
bedroom. Each wall is 9
feet tall by 12 feet
wide. What is the total
area
Answers
find the measures of m and n
Answers
Answer:
m=3 n=6
Step-by-step explanation:
top diagonals are congruent
9 = 3m
solve for m
m = 3
bottom diagonals are congruent
m + 8 = 2n -1
plug in 3 for m
3 + 8 = 2n -1
solve for n
11 +1 = 2n
12 = 2n
n=6
At a restaurant, 8 plates are accidentally broken each day for a week (7 days). What number represents the change in the number of plates the restaurant has?
Answers
Kate has a coin collection. She keeps 7 in a box, which is only 5% of her entire collection. What is the total number of coins in Kate’s coin collection?
Answers
Answer:
140
Step-by-step explanation:
5%/100 = 7/?
7 times 100 = 700
700 divided by 5 = 140 coins
Cuánto es 5000000 dividido en 87
porfa con la operación
Answers
Answer:
it equals 57,471
Step-by-step explanation:
5000000÷87=57,471
The Molina family's pancake recipe uses 2 teaspoons of baking powder for every 1 3 of a teaspoon of salt. How much baking powder would they need if they used 1 teaspoon of salt?
Answers
Answer: 7
Step-by-step explanation:
Write the proportion. do not include units in the answer.
60feet is to 100feet as 12feet is to 20feet.
Answers
Answer:
(60/100) = (12/20)
Step-by-step explanation:
If A = 49 degrees, a = 32,
and b = 28, find c.
Round to the nearest tenth.
Answers
Answer:
please can you resend the question clearly maybe with a diagram
Please help me I really need it
Answers
Answer: 170
Step-by-step explanation: Like I answered before: Angle G and Angle H are consecutive angles, meaning they both add up to 180 degrees. Thus, if 10 is the value of Angle G, Angle H must be 170.
Answer:
<CDA = 170⁰
Step-by-step explanation:
<A + <D = 180⁰ { Adjacent Angles of an parallelogram are supplementary}
10⁰ + <D = 180⁰
<D = 180⁰ - 10⁰ = 170⁰
<D = x⁰ = 170⁰ = <CDA
An auditorium has rows of seats with a seats in each row Kayla
knows there are at least 70 seats but fewer than 156 seats in the
auditorium. How many rows of seats can there be in the auditorium
Use Exercises 1-a to answer the question
1. Explain how you would find the least possible number of rowe
in the auditorium
2. How would you find all the possible numbers of rows, without
having to check if & is a factor of every number between
70 and 1507
3. Name all the possible numbers of rows in the auditorium,
Answers
Step-by-step explanation:
Note: there is a typo, 'a' should be '8'The number of seats in each row is 8 and the total number of seats is between 70 and 150.
Let x be the number of rows, then we have the inequality:
70 ≤ 8x < 156Divide all sides by 8 to get:
70/8 ≤ x < 156/89 ≤ x ≤ 19 (taking closest integers)So the number of rows is between 9 and 19 both inclusive.
All possible number of rows
9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19Answer:
1. 9 rows
2. see below
3. 9, 10, 11, 12, 13, 14, 15, 16, 17, 18
Step-by-step explanation:
Please note that I believe there are typing errors in the question and that the given information should be:
8 seats in each rowAt least 70 seatsLess than 150 seatsQuestion 1
To determine the least possible number of rows in the auditorium, divide the least number of seats by the number of seats in a row:
⇒ 70 ÷ 8 = 8.75
As the answer is a decimal, round it up to the nearest whole number.
Therefore, the least possible number of rows in the auditorium is 9 rows.
Question 2
Find the greatest number of rows by dividing the greatest number of seats by the number of seats in a row:
⇒ 150 ÷ 8 = 18.75
As there should be fewer than 150 seats we cannot round the number up (as this would make there be more than 150 seats), so instead must round it down to 18.
Therefore, the greatest number of rows in the auditorium is 18 rows.
Question 3
As we have found the least number of rows in question 1 and the greatest number of rows in question 2, all we need to do is list all the numbers between (and including) these numbers.
Therefore, all the possible numbers of rows in the auditorium are:
9, 10, 11, 12, 13, 14, 15, 16, 17, 18
A map uses a scale of centimeter 0.5 = 75 kilometers. The actual distances between various cities are are at 40 kilometers
Answers
0.267 = 40 kilometers
Explanation:
0.5/75=0.006 which is for one centimeter
0.006x40=0.267
Hope it helps, Let me know if you have any other questions!
Have a nice rest do your day :)
What is the range of the given function?
{(-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)}
{x | x = -5, -4, -2, 0, 2}
{y l y = -9, -3, 0, 5, 7}
O (x | x = -9, -5, -4, -3, -2, 0, 2, 5, 7}
O tyl y = -9, -5, -4, -3, -2, 0, 2, 5, 7}
Answers
Answer:
{-9, -3, 0, 5, 7}
Step-by-step explanation:
Well, you already have the relation of the function. The domain of a function are its x coordinates and the range are all the y coordinates:
0, -3, -9, 5, 7
We write them in ascending order:
-9, -3, 0, 5, 7
And this way we get the range
It is important to check if the coordinates you are given can form a function. In this case they do, but in other cases they might not.
If you have coordinates where for example there are two equal values of x but the y is different in both, for example (1, 2) and (1, 5), this cannot be a function because y can be on two possible destinations for the same value of x.