The domain of the function f (x) = x2 + 6x + 5 over the function g(x) = x3 + x2 − 4x − 4 is {x ∈ ℝ| x ≠ −1, −2, 2}.
The main limiting issue with the domain this function is potentially picking an x-value that makes that denominator equal 0, because dividing by 0 is bad.
So, the domain will be all real numbers, except for those that make g(x)=0.
g(-1) = 0, g(-2)=0, and g(2) = 0, so -1, -2, and 2 must be excluded from the domain.
Your answer is {x ∈ ℝ| x ≠ −1, −2, 2}.
Therefore, we get that, the domain of the function f (x) = x2 + 6x + 5 over the function g(x) = x3 + x2 − 4x − 4 is {x ∈ ℝ| x ≠ −1, −2, 2}.
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Your question was incomplete. Please refer the content below:
Given f (x) = x2 + 6x + 5 and g(x) = x3 + x2 − 4x − 4, find the domain of f over g of x period
{x ∈ ℝ}
{x ∈ ℝ| x ≠ −5}
{x ∈ ℝ| x ≠ −1, −2, 2}
{x ∈ ℝ| x ≠ −2, 2}
Kayla started a book club at her school. The number of girls in the book club was one more than twice the number of boys. If there are 21 girls in the book club, how many boys are in the club?
Answer:
10
Step-by-step explanation:
(21-1)/2
The cost c of a shirt is less than $27. 50.
URGENT 1000 POINTS. BRAINLIEST GIVER...
(6.03 x 10^9) + (4.3 x 10^11) = (0.0603 x 10^11) + (4.3 x 10^11) = 4.3603 x 10^11 in scientific notation. explain step by step!
Answer:
see image.
Step-by-step explanation:
Basically, what's happening here is you are adjusting one of the terms so that they both have the same exponent. Then you can factor out that 10^11 term and just add the two remaining terms.
see image.
describe and illustrate the situation when the minimum of a two variable function can be placed higher than its maximum. what type of extrema is this?
For the rare case that the outcome of the second derivative matrix examination is inconclusive, higher order derivatives have to be examined.
What do math extrema mean?
Any point in calculus when the value of a function is either the highest (a maximum) or the lowest (a minimum) (a minimum). There are maxima and minima that are both absolute and relative (or local).Identify every stationary point. The solution set that results from setting the partial first derivatives to zero includes those points.Look at each stationary point's personality. This is done explicitly in the first case by looking at the eigenvalues of the second derivative matrix. The fact that there are quick formulas for this if there are just two variables, is superior.Higher order derivatives must be investigated in the improbable event that the results of the second derivative matrix study are ambiguous. Sadly, no set recipes can be developed in this situation; rather, each function must be considered individually.Learn more about extrema mean
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can someone please help me or imma get an F! :')
Answer:
17,84,9,34,71,35,18
Step-by-step explanation:
Alf earns £9.00 per hour and works 33 hours each week. He spends a total of £24.40 each week travelling to and from work. Next month he is getting a 4% pay rise but his travel costs are increasing by 15%.
How much extra will he have each week?
Answer:
£8.22
Step-by-step explanation:
9x33=£297
297-24.40=£272.60
297×4%=£11.88
297+11.88=£308.88
24.40×15%=£3.66
24.40+3.66=£28.06
308.88-28.06=280.82
280.82-272.60=£8.22
i need help with this
Simplify (14.1x10^5) - (2.9x10^5). Write your answer in scientific notation.
Answer: 1.12x10⁶
Step-by-step explanation:
(14.1x10⁵)-(2.9x10⁵)=
(10⁵)(14.1-2,9)=
(11.2)(10⁵)=
(1.12)(10)(10⁵)=
(1.12)(10⁶)=
1.12x10⁶
Answer:
1.12x10⁶
Step-by-step explanation:
Examine the diagram.
XX
15
3/7
26
4 8
Angle 4 and angle
angles.
are alternate interior
Answer:
angle 5
Step-by-step explanation:
Given transversal x crossing lines y and z and angles numbered 1 to 8, you want the number of the angle that is an alternate interior angle to angle 4.
Alternate interior anglesIn this context, "alternate" mean the angles are on opposite sides of the transversal. "Interior" means the angles are between the lines the transversal crosses.
The term "alternate interior angles" is used to refer to angles that have their vertices at the intersection points where the two lines cross the transversal. (It excludes angles that have the same vertex, or do not share a side.)
The angle that is an alternate interior angle relative to angle 4 is angle 5.
What is 80% of 63? Do not round your answer.
Answer:
What is 80% of 63?
50.4 is the right answer
(7⁰)^x=1 What are the possible values for X?
Answer:
The domain is [-∞,∞]
Step-by-step explanation:
[tex]7^0 = 1\\1^x = 1, solve\ for\ x.\\[/tex]
1 raised to any and every power will always equal 1.
Step-by-step explanation:
Given :[tex](1)^{x} =1[/tex]
Given that the base of the exponent is 1 now you should apply the rule that any 1 to the power any number is 1 and that any number to the power of 0 is 1 so that makes us comer to a conclusion that x can be any positive Integer.
therefore the answer is
X∈(+)z
z representing the integer in symbol
hope this helps..!!!!!!
Toby needs to save a minimum of $250. If Toby can save $57 a month, how many months will it take for him to save enough? Select the inequality that represents this situation.
The inequality that represents this situation is 57x <= 250
How to select the inequality that represents this situation?The given parameters are
Minimum savings = $250
Monthly savings = $57
Let the number of months be x
So, we have the following inequality
Monthly savings * x <= Minimum savings
Substitute the known values in the above equation
57 * x <= 250
Evaluate the product
57x <= 250
Hence, the inequality that represents this situation is 57x <= 250
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3.)
The elevation of a small submarine changes by-mile after each exploration. After
how many explorations will the submarine's elevation have changed by -1 miles?
The submarine's elevation would have changed by -3/2 mile after 4 explorations.
What is elevation?An elevation is a view of a three-dimensional shape from the side or the front. "Rise over run" is an easy-to-remember equation for calculating a change in elevation as a decimal, which means the rise (the change in vertical distance) divided by the run (the change in horizontal distance).So, to find how many explorations will the submarine's elevation has changed by -1 miles:
After each exploration, the submarine's elevation changes by -3/8 mile.To calculate the number of explorations required to change the submarine's elevation by -3/2 mile, divide -3/2 mile by the number of miles the submarine's elevation changes per exploration (that is, -3/8 mile).Then,
-3/2 miles ÷ -3/8 mile-3/2 ÷ -3/8 mile-3/2 × -3/8 mile24/64Therefore, the submarine's elevation would have changed by -3/2 mile after 4 explorations.
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The complete question is given below:
The elevation of a small submarine changes by -3/8 mile after each exploration. After how many explorations will the submarine's elevation have changed by -3/2 miles?
The tank for a car holds 19 gallons. the gasoline gauge shows the tank is 2 5 full. how much gas is still in
The tank of the car that holds 19 gallons and has 2/5 full has still in it 7.5 gallons
Information about the problem:
Tank capacity= 19 gallonsGasoline gauge= 2/5 fullGallons available=?To solve this problem, we have to state the equation using the information of the problem:
Gallons available= tank capacity* gasoline gauge
Gallons available= 19 gallons * 2/5
Gallons available= 38 gallons/5
Gallons available= 7.5 gallons
What are algebraic operations?We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
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Someone please help me on #3 and 4 they are different problems. Please help me how to solve this step by step. (Sorry about the bad picture.)
Please help with this. I have to finish it today
Note: can you make it where i can say it Infront of my class?
Answer:
The coordinates of W,X,Y,Z are W= (3,4) X= (1,4) Y= (2,1) Z= (4,2)
Step-by-step explanation:
When you reflect the coordinates to the other side of the graph, you get these^^^^ coordinates.
I need help its due tmr
Answer:
1. 27
2. 18
3. 905.400
4. 6.830
Step-by-step explanation:
Any number (ending number/last number) with 1,2,3,4 is rounded down, and any number (ending number/last number) with 5,6,7,8,9 is rounded up.
1. It is closer to 27.
2. it is closer to 18.
3. It is closer to 905.400
4. It is 6.825 which ends in 5 so it is rounded up.
Bashir was out at a restaurant for dinner when the bill came. His dinner came to $32.
After adding in a tip, before tax, he paid $39.36. Find the percent tip.
Answer:
23%
Step-by-step explanation:
39.36-32=7.36
7.36/32=.23
23 percent
math 50 points please dont lie
Answer:
D. 1,740
Step-by-step explanation:
10 to the 3rd power = 10*10*10=1000
1.74*1000=1740
Answer:
d) 1,740
Explanation:
Given following:
[tex]\rightarrow \sf 1.74 \times 10^3[/tex]
expand
[tex]\rightarrow \sf 1.74 \times 10 \times 10 \times 10[/tex]
multiply
[tex]\rightarrow \sf 1.74 \times 1000[/tex]
simplify by moving the decimal point 3 units to the right
[tex]\rightarrow \sf 1740.0[/tex]
please help me I really need it:/
Answer:
this would be c bro trust me I passed this years ago dw it used to confuse me aswell
Step-by-step explanation:
yep
please help
7/8 times 1 1/2
2 3/4 divided by 2/3
Answer: 7/8 times 1 1/2 is 21/16 or 1.3125 in decimal
2 3/4 divided by 2/3 is 33/8 or 4.125 in decimal
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Answer:1.75
Step-by-step explanation:
7x+8=3x+15
4x+8=15
4x=7
x=1.75
he second of a triangle is 6 more than the first angle. The third angle is 12 less than the first angle. Find all three angles if the sum of their angles is equal to 180°
Answer:
Let first angle be x
x+x+6+x-12=180°
3x-6=180°
3x=186
x=63°
First angle=63°
Second Angle=69°
Third angle=51°
Hope it helps you
Write an algebraic expression for the statement: the income earned at $9.25 per hour for x hours
Answer:
9.25x
Step-by-step explanation:
What proportion of sample size n =10 will have a mean salary greater than $60,000
Answer:
n/10 x 10/60,000
Step-by-step explanation:
I think it's right please don't report
Answer:
N/10 x 10/60,000
. indicate whether each of the following can be determined exactly or must be measured with some degree of uncertainty:
Determination of Uncertainty for given situations are:
a) certain.
b) uncertain.
c) uncertain.
d) uncertain.
e) certain
What is Uncertainty?
The range of potential values between which the genuine value of both the measurement can be found is referred to as uncertainty in this context.a) A basket's capacity for eggs:
The measurement that is precise and free from uncertainty is the number of counting objects. Consequently, we are able to precisely count the eggs in a basket.
b) The weight of 12 bananas:
Given that no two bananas are the same size and therefore have different masses, it is uncertain to determine the mass of a dozen bananas. This is true for the computation of the mass of any object.
c) The iron block's mass
Because no two pieces of iron in an iron block are the same size, it is difficult to determine the mass of an iron block.
d) The quantity of gasoline required to fully fill a car's gas tank:
Due to the fact that gasoline is indeed a gas molecule and is volatile, it is difficult to calculate how many gallons are required to fill an automobile's gas tank.
e) There is 5 cm in a meter.
By using the relation, we can precisely calculate how many cm there are in 5 meters. Knowing that 1 m = 100 cm.
Determination of Uncertainty for given situations are:
a) certain.
b) uncertain.
c) uncertain.
d) uncertain.
e) certain
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state the inverse, contrapositive, and converse of each conditional statement. then indicate whether the inverse, contrapositive, and converse are true. (a) if 3 is a prime number then 5 is an even number. (b) if 7 < 5, then 5 < 3.
The inverse is the false and the Converse is the true.
According to the statement
We have to find that the contra positive, and converse are true.
So, For this purpose, we know that the
A conditional statement may be a statement which will be written within the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is named the hypothesis and Q is termed the conclusion.
From the given information:
if 3 could be a prime quantity then 5 is a fair number.
Then
a) Inverse: If 3 isn't a primary number, then 5 isn't a fair number. (True)
Contra positive: If five isn't an excellent number, then 3 isn't a main number. (False)
Converse: If 5 is a good number, then 3 may be a prime quantity. (True).
And
b) if 7 < 5, then 5 < 3
This statement is that the false because the primary statement is that the false.
So, The inverse is the false and the Converse is the true.
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SOMEONE HELP ME BEFORE I PASS OUT
1. |X|≤8
2. |X|≤27
Answer: 1. [-8, 8]
2. [-27, 27]
Step-by-step explanation:
1. |X|≤8
x≤8 or x>=-8
-8<=x<=8 ==> [-8, 8]
2. |X|≤27
x≤27 or x>=-27
-27<=x<=27 ==> [-27, 27]
$72 is 4.5% of what amount
$72 is 4.5% of 6.25 amount. 6.25 Percentage of 72 is 4.5.
By considering the given information
[tex]72\times x=4.5\\x=\frac{4.5}{72}\times 100\\ x=6.25[/tex]
A number or ratio that can be expressed as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage therefore refers to a part per hundred. Per 100 is what the word percent means. The letter "%" stands for it. percent, which is a relative value used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
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$72 is 4.5% = $3.24
Solution :
The percentage is a rate or proportion per hundred,
The percentage is also used more generally to mean any proportion, as in Studies have shown that a large percentage of people love cute animals.
A percent is one one-hundredth (1/100) of something. The percentage refers to the rate or proportion of that one hundred. Usually, you will see the word percentage used in math equations or statistics or when someone is measuring the increase and decrease in rates
$72 is 4.5% =?
$72 is 10% = $7.2
$72 is 5% = $7.2 /2 = $3.6
$72 is 1/2%= $72 * .5/100 = $.72*.5 = $ 0.36
$72 is 4.5% = 5% - .5% = $3.6- $.36 = $3.24
$72 is 4.5% = $3.24
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If f(x)=12x+4, what is f(2)? If it does not exist,enter DNE.
Answer:[tex]f(2) =28[/tex]
Step-by-step explanation:
When it says f(2), it means to plug 2 into the x in the function f(x), so therefore:
[tex]12(2)+4\\\\24+4\\\\28[/tex]