Answer:
3
Step-by-step explanation:
Set the denominator in
3
x
2
−
2
x
−
15
equal to
0
to find where the expression is undefined.
x
2
−
2
x
−
15
=
0
Solve for
x
.
Tap for more steps...
x
=
5
,
−
3
The domain is all values of
x
that make the expression defined.
Interval Notation:
(
−
∞
,
−
3
)
∪
(
−
3
,
5
)
∪
(
5
,
∞
)
Set-Builder Notation:
{
x
|
x
≠
−
3
,
5
}
For f(x)=-x^2-2x-2, find f(x+h)-f(x)/h
see the both photos for answer
A 12-ft ladder leaning against a house makes a 64 degree angle with the ground. Will the ladder reach a window sill that is 10.5 ft up from the base of the house?
Answer:
Yes, it will
Step-by-step explanation:
Given
Length of Ladder = 12 ft
Angle = 64
Required
Determine if it'll reach a height of 10.5ft from the base
See attachment for proper illustration.
From the attachment, we want to determine that x be greater than 10.5
Using sin formula:
[tex]Sin\ 64 = \frac{x}{12}[/tex]
Multiply through by 12
[tex]x = 12 * sin\ 64[/tex]
[tex]x = 12 * 0.8988[/tex]
[tex]x = 10.79[/tex] (Approximated)
Since 10.79 is greater than 10.5, then the ladder will reach the window
sin64 = x/12
x = 12* sin64
Match the vocabulary to the correct operation PLZ ANSWER:(
Marcie wants to find the total number of students with black hair in the freshman class at her school. She has observed 5 of the 9 freshman homerooms. The graph shows the number of students
with black hair she has counted so far. Based on this information, which is the best protection of the total number of students with black hair and then 9 freshman homerooms at Marcie's school?
Answer: 1/8
Step-by-step explanation: 9/5 = 1/8
O produtor rural Ricardo Antunes Peixoto, 55 anos, teve uma surpresa enquanto perfurava um poço artesiano em sua fazenda, na zona rural de Brasília de Minas (MG). "Não saiu água, mas saiu fogo", diz, espantado. Uma equipe com cinco operários de uma empresa especializada trabalhou durante dois dias na propriedade para abrir o poço de água, mas, após escavarem 204 metros, o que encontraram foi um produto inflamável, que seria gás natural. O dono da fazenda Lagoa Misteriosa espera lucrar com a descoberta da reserva de gás. "Pelo menos, que se têm notícias no estado, este é o primeiro caso. Agora, com o dinheiro que eu vender o gás, vou abrir [um novo poço] para ter a minha água". Disponível em: . Acesso em: 12 abr. 2013. Considerando a combustão completa do metano, nas CNTP, determine a energia liberada na queima de 224 L de metano que foi em encontrado no poço desse agricultor. Dados: C–H = 416 kJ/mol C?O = 805 kJ/mol O?O = 498 kJ/mol O–H = 464 kJ/mol A. –2 660 kJ/mol B. –8 060 kJ/mol C. –1 220 kJ/mol D. –4 030 kJ/mol E. –2 600 kJ/mol
O produtor rural Ricardo Antunes Peixoto, 55 anos, teve uma surpresa enquanto perfurava um poço artesiano em sua fazenda, na zona rural de Brasília de Minas (MG). "Não saiu água, mas saiu fogo", diz, espantado. Uma equipe com cinco operários de uma empresa especializada trabalhou durante dois dias na propriedade para abrir o poço de água, mas, após escavarem 204 metros, o que encontraram foi um produto inflamável, que seria gás natural. O dono da fazenda Lagoa Misteriosa espera lucrar com a descoberta da reserva de gás. "Pelo menos, que se têm notícias no estado, este é o primeiro caso. Agora, com o dinheiro que eu vender o gás, vou abrir [um novo poço] para ter a minha água". Disponível em: . Acesso em: 12 abr. 2013. Considerando a combustão completa do metano, nas CNTP, determine a energia liberada na queima de 224 L de metano que foi em encontrado no poço desse agricultor. Dados: C–H = 416 kJ/mol C?O = 805 kJ/mol O?O = 498 kJ/mol O–H = 464 kJ/mol A. –2 660 kJ/mol B. –8 060 kJ/mol C. –1 220 kJ/mol D. –4 030 kJ/mol E. –2 600 kJ/mol
Now, look at the set of integers. Complete the table for the closure property if integers under the four operations.
Answer:
See below.
Step-by-step explanation:
Addition: closed
Example: -5 + 10 = 5, and -5, 10, and 5 are all integers
Subtraction: closed
Example: 10 - 8 = 2, and 10, 8, and 2 are all integers
Multiplication: closed
Example: -4 * 7 = -28, and -4, -7 and -28 are all integers
Division: not closed
Example: 5/2 = 2.5, and 2.5 is not an integer, although 2 and 5 are integers
The set of integers is closed under addition, subtraction, and multiplication because any addition, subtraction, or multiplication of integers always results in an integer.
The set of integers is not closed under division because a division of integers does not always result in an integer.
What is the median of 6.5, 4.5, 6.5, 4.5, 5, 4.5, 9, 3.5
4.75 is the answer list from least to greatest find the number in the middle
Tyler needs to complete this table for his consumer science class. He knows that 1 tablespoon contains 3 teaspoons and that 1 cup contains 16 tablespoons. What belongs in cell A?
Answer: 96 teaspoons
Step-by-step explanation:
If 1 cup contains 16 tablespoons the 2 cups will contain;
= 16 * 2
= 32 tablespoons
If 1 tablespoon contains 3 teaspoons then 32 tablespoons will contain;
= 32 * 3
= 96 teaspoons
The median of 32,,21,60,3,5,17
Answer:
19
Step-by-step explanation:
Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the
meeting, so they need at least 100 pieces of sushi in total.
Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi. The sushi
comes in rolls, and each roll contains 12 pieces and costs $8.
Let R represent the number of additional rolls that Sofia orders.
Answer: D: 24 + 12R ≥ 100
write the equation of the parabola in vertex form vertex (0,0) passes through (2,1)
Answer:
[tex]f(x)=\frac{1}{4}x^2[/tex]
Step-by-step explanation:
Recall the vertex form of a quadratic equation:
[tex]f(x)=a(x-h)^2+k[/tex]
Where (h,k) is the vertex.
We are told that the vertex is (0,0). Therefore:
[tex]f(x)=a(x-0)^2+(0)[/tex]
Simplify:
[tex]f(x)=ax^2[/tex]
So, to finish the equation, we need to find a.
We know that a point is (2,1). Thus, substitute 1 for f(x) and 2 for x:
[tex]1=a(2)^2[/tex]
Square:
[tex]1=4a[/tex]
Divide both sides by 4:
[tex]a=\frac{1}{4}[/tex]
So, our a value is 1/4.
And we can thus complete our equation:
[tex]f(x)=\frac{1}{4}x^2[/tex]
And we are done :)
plss help asap im on a time limit
Answer: the first one
Step-by-step explanation: just trust me ;)
Solve for r:
B=dPIEr^2
Answer:
C
Step-by-step explanation:
So we have the equation:
[tex]B=d\pi r^2[/tex]
And we want to solve for r.
So first, isolate the r variable. Divide both sides by dπ. So:
[tex]\frac{B}{d\pi}=\frac{d\pi r^2}{d\pi}[/tex]
The right side cancels:
[tex]\frac{B}{d\pi}=r^2[/tex]
Take the square root of both sides:
[tex]r=\sqrt\frac{B}{d\pi}[/tex]
We can rearrange the terms:
[tex]r=\sqrt\frac{B}{\pi d}[/tex]
Our answer is C.
Solve the following system of equations algebraically:
y= 16x2 + 9x – 5
y = –2 – 6
Step-by-step explanation:
Is the x between 16 and 2 for multiplication or are you using it as a variable??
There is a number such that four times the number plus 3 is equal to 19. Find the number.
An equation is formed of two equal expressions. The number is 4.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that there is a number such that four times the number plus 3 is equal to 19.
Let the number be M.
Given that there is a number such that four times the number plus 3 is equal to 19. Therefore, We can write it as,
4M + 3 = 19
Now, we can write,
4M + 3 = 19
Subtract 3 on both sides
4M + 3 - 3 = 19 - 3
4M = 16
Divide both sides by 4,
4/4 M = 16/4
M = 4
Thus, the number is 4.
Learn more about Equation here:
https://brainly.com/question/14686792
#SPJ2
Solve each system of equations of equations.
x + y = -6
2x - y = 3
Answer:
x = -1, y = -5
Step-by-step explanation:
x + y = -6
2x - y = 3
Add the two equations together to eliminate y
x + y = -6
2x - y = 3
------------------
3x = -3
Divide by 3
3x/3 = -3/3
x = -1
Now find y
x+y = -6
-1+y = -6
Add 1 to each side
-1+1 +y = -6+1
y = -5
rational or irrational 0.135135135135
Answer: it is a rational
Step-by-step explanation:
Samara Park gets $0.25 for each pound of apricots she dries. How much will she be paid if she dries 16.4 pounds?
Samara will be paid $4.10 for drying 16.4 pounds of apricots.
How to calculate payment?To calculate the payment for the purchase of the item, we can use the formula:
Payment = Rate × Amount
Here, the rate is the amount paid per pound and the amount is the total number of pounds item.
To calculate Samara's payment for drying apricots, we can use the formula:
Payment = Rate × Amount
As per the question, the rate is $0.25 per pound, and the amount is 16.4 pounds.
So, substitute these values into the formula:
Payment = $0.25 × 16.4
Multiply $0.25 by 16.4:
Payment = $4.10
Therefore, Samara will be paid $4.10 for drying 16.4 pounds of apricots.
Learn more about the payments here:
https://brainly.com/question/6593069
#SPJ2
When did the United States first establish its measuring system, and who was responsible for
picking the system?
Answer:
1975 Thomas Jefferson
Step-by-step explanation:
solve the equation (5x-7)(-3x+2)
Answer:
[tex]\large\boxed{-15x^{2} + 31x - 14}[/tex]
Step-by-step explanation:
(5x - 7)(-3x + 2)
The values inside of the parenthesis cannot be simplified, so distribute and multiply.
Distribute
(5x - 7)(-3x) + (5x - 7)(2)
Multiply
-15x² + 21x + 10x - 14
Add 21x to 10x
-15x² + 31x - 14
[tex]\large\boxed{-15x^{2} + 31x - 14}[/tex]
Hope this helps :)
1. GIVE ANOTHER NAME FOR CM?
Answer:
decimetre is the answer
(Select all that Apply)
Which of the following is an equation?
O 11=11
6+5=11
6 +5 – 11
06-5=11
what is 327 divided by 55
Answer:
[tex]5\frac{52}{55}[/tex]
Step-by-step explanation:
[tex]\frac{327}{55}=5\quad \mathrm{Remainder}\quad \:52\\\\\mathrm{Convert\:to\:mixed\:number:\:Quotient\frac{Remainder}{Divisor}}\\\\\frac{327}{55}=5\frac{52}{55}\\\\5\frac{52}{55}[/tex]
A computer software company conducted a telephone survey asking its customers how the software could be improved. Assume the survey was conducted by asking the questions below. Each of the questions defines a variable of interest to the company. Classify the data generated for each variable as quantitative or qualitative. Justify your classification.
Required:
a. Is the variable of interest defined by the question "How many hours per week do you use our software?" quantitative or qualitative?
b. Is the variable of interest defined by the question "For how many years have you been using our software?" quantitative or qualitative?
Answer:
Quantitative
Quantitative
Step-by-step explanation:
Given the following research questions to classify:
a. Is the variable of interest defined by the question "How many hours per week do you use our software?
This is a quantitative variable, because the question requires a numerical response such as 5. 10, 2 4 and so on upon which numerical or statistical calculations such as addition, subtraction, range, mean and so on can be performed.
B.) For how many years have you been using our software?
This is also a quantitative variable as the question expects a response of Numeric characteristic such as 2, 3 and so on depending on the number of years the respondent has been using the software
What value of q makes the equation true? -8=32-5q
Answer:
8
Step-by-step explanation:
Plz help me I’m md lost rn!
Answer:
6.4 km
Step-by-step explanation:
4x1.6
Answer:
6.4 km
Step-by-step explanation:
1.6 * 4 = 6.4
How to do this?
No 5
Answer:
M=24
Step-by-step explanation:
because 2+3+6x2=24
ILL GIVW YOU BRAINLIST !!! HAVE TO GET IT RIGHT !!!! SHOW WORK
my - 2x
m=3 , y=6 , x = 8
Answer:
2
Work is shown in picture
Someone pls help it’s a very short question!!!
(dont judge me I forgot)
Answer:
12.) 13 008 13.) 4 069 604
Answer:
12) 13008
13) 4069604
Step-by-step explanation:
Problem 12)
10000+ 3000 + 8 = 13008
Problem 13)
4 x 1000000 + 6 x 10000 + 9 x 1000 + 6 x 100 + 4 x 1 =
4000000 + 60000 + 9000 + 600 + 4 = 4069604
Solve for y in terms of x. Determine if y is a function of x. If it is, rewrite using f(x) notation. If not, enter ND in the answer field.
7x-5y=2
Answer:
y = (7x-2)/5Step-by-step explanation:
Given the expression 7x-5y = 2, we are to write y in terms of x. to do that, we will have to make y the subject of the formula from the given expression as shown;
7x-5y = 2
subtract 7x from both sides of the equation
7x-5y-7x = 2-7x
-5y = 2-7x
Multiply through by minus sign
-(-5y) = -(2-7x)
5y = -2+7x
5y = 7x-2
Divide both side by 5;
5y/5 = (7x-2)/5
y = (7x-2)/5
Hence the expression y as a function of x is given as y = (7x-2)/5