The domain of f(x) is all real numbers > than it equal to 3, for f(x) = 3/x + 2 - √(x - 3).
The domain of a function f(x) is the set of all real values of x, for which real f(x) exists.
In the question, we are asked to find the domain of the function f(x) = 3/x + 2 - √(x - 3).
To find the domain of f(x), we need to check the real values of x, for which real f(x) exists.
We check each part of f(x):
For 3/x, every x gives a real value except x = 0.
For 2, every x gives a real value as it is not dependent on x.
For √(x - 3), real values exist when x - 3 ≥ 0, as negative square roots are not real.
Therefore, after assessing each term, we can say that the domain for f(x) is x - 3 ≥ 0, or x ≥ 3.
Therefore, the domain of f(x) is all real numbers > than it equal to 3, for f(x) = 3/x + 2 - √(x - 3).
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perimeter and area of a rectangular figure has a perimeter of 34cm its length is 9cm
Answer:
Perimeter of rectangle = 32
Step-by-step explanation:
32 = 2(L+B)
L+B=16
B=16-L
B=16–9
B=7
AREA = L*B
AREA = 63sq.cm
2/3*Z=1 1/9i will award brillenest
Answer:
5/3i
Step-by-step explanation:
Answer:
5/3i
Step-by-step explanation:
What is the y-intercept of the line whose equation is:
6x + 2y = 4
A.1
OB. 2
O C.4
D. 6
Answer:
2
Step-by-step explanation:
Use the intercept method. Where is y when x = 0?
Giving brainliest to first accurate answer.
I believe the it would be 2x^2 + 6x + 20 = 0.
Solve for b
7b-2/5=6b− 7/5
Answer:
- 1
Step-by-step explanation:
Step 1:
7b - 2/5 = 6b - 7/5 Equation
Step 2:
7b = 6b - 1 Add 2/5 on both sides
Answer:
b = - 1 Subtract 6b on both sides
Hope This Helps :)
Find x. √11 X = √17 VIRI X
1.243 is the measure of the value of x from the given expression
Solving rational equationsRational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.
Given the following rational equation
√11 x = √17
We need to determine the measure of the value of x.
Taking the square of both sides we will have:
(√11 x)² = (√17)²
11x² = 17
x² = 17/11
x² = 1.545
Take the square root of both sides
√x² = √1.545
x = 1.243
Hence the measure of the value of x from the given equation is 1.243.
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For a quadrilateral to be a square, the diagonals must beCongruent and perpendicularCongruent PerpendicularParallel
Recall that:
1) A quadrilateral is rectangle if it has congruent diagonals.
2) A quadrilateral is rhombus if it has perpendicular diagonals.
Also, recall that a square is a rectangle that is also a rhombus, therefore its diagonals must be congruent and perpendicular.
Answer: Congruent and perpendicular.
what is the complete factored form of 49 - 28m + 4m^2
Answer:
( 7 − 2 m ) ^2
Step-by-step explanation:
Which of the following is a like radical to 3 √ 6x²?
The like radical to 3 √ 6x² is given as follows:
4(3 √ 6x²) = \(4(\sqrt[3]{6x^2})\)
What are like radicals?Like radicals are two radical expressions that have the same indices and radicand.
The concepts of the index and of the radicand of a radical are given as follows:
Radicand: Variable inside the root.Index: The root, if it is square, cube, and so on...In the context of this problem, the radical expression is presented as follows:
3 √ 6x²
The index and the radicand are given as follows:
Index: 3.Radicand: 6x².Applying the concept of like radicals, any expression in this format is a like radical to 3 √ 6x².
n(3 √ 6x²).
That is, any multiple of the term.
The third option gives a multiple of the given expression, hence the like radical is given as follows:
4(3 √ 6x²) = \(4(\sqrt[3]{6x^2})\)
(using Latex for better visual).
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Please hurry!
25 points
Before heading out on a road trip, Diego’s family filled up their car’s gas tank with 20 gallons of gas.As the trip went on,the car used 2 gallons of gas everyday.
When will the gas tank be empty if Diego’s family does not refill it? Explain your reasoning
Answer:
10 days until the tank is empty
Step-by-step explanation:
has 20 gallons of gas
use 2 gallons every day
20/2 = 10 days to use up all the gas
Answer:
It will go empty in 10 days.
Step-by-step explanation:
Why will it go empty in 10 days? Because if you divide the amount of gas you have (20 gallons) with how much they will use every day (2 gallons), then you get 10. 10 will equal the amount of days until their car breaks down.
equation: 2x=20
the equation you could use to solve this in your head: 20/2=x
How do I do the math here? I am not sure how to set it up with having only one angle to work with.
Answer:
angle A = 112 degrees
Step-by-step explanation:
Angle ADC is bisected (given) ...so angle 1 = angle 2
then angle D = 68 degrees
now you have to remember that adjacent corners (angles on the same LEG) of a trapezoid sum to 180 (they are 'supplementary' )
angle A = 180 - 68 = 112 degrees
Favorite Lunch Choice
Food Responses
pizza 26
hamburger 18
chicken 13
nachos 7
spaghetti 6
If there are 350 students in Jamal's school, how many are expected to choose hamburgers?
O A. 180 students
OB. 130 students
OC. 90 students
O D. 18 students
−2(2x+3)≤26
-
2
2
x
+
3
≤
26
?
\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)
\(- 2 ( 2 x + 3 ) \leq 26.\)
\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\(- 2 ( 2 x + 3 ) \leq 26\)
Divide both sides by -2. We know that since 2 is negative, it'll be < (less than) 0. So, the direction of inequality will change.
\(2x+3\geq \frac{26}{-2} \\ \)
Divide 26 by -2..we'll get the answer as -13.
\(2x+3\geq -13 \)
Now, subtract 3 from both the sides.
\(2x\geq -13-3 \)
Subtracting -13 by 3..we'll get the answer as -16.
\(2x\geq -16 \)
Divide both sides by 2. We know that since 2 is positive, the direction of inequality will remain the same.
\(x\geq \frac{-16}{2} \\ \)
Divide -16 by 2..we'll get the answer as -8.
\( \huge \boxed{ \boxed{ \bf \: x\geq -8 }}\)
The correct answer is ⇨ x greater than or equal to -8.Francium is an element with a half-life of 22 minutes. 1000 grams of francium is placed into a bowl determine how much Francium (in grams) will be left after 2 hours
The amount of the element, Francium, that will remain after 2 hours is 31.25 grams.
Half-life problemTo determine how much francium will be left after 2 hours, we need to calculate the number of half-lives that occur within that time period.
Given that the half-life of francium is 22 minutes, we can calculate the number of half-lives in 2 hours (120 minutes):
Number of half-lives = (Total time elapsed) / (Half-life)
Number of half-lives = 120 minutes / 22 minutes ≈ 5.4545
Since we can't have a fraction of a half-life, we take the integer part, which is 5.
Each half-life represents a halving of the amount of francium. So, after 5 half-lives, the remaining amount of francium can be calculated using the formula:
Remaining amount = Initial amount * (1/2)^(Number of half-lives)
Given that the initial amount is 1000 grams, we can calculate the remaining amount after 2 hours:
Remaining amount = 1000 grams * \((1/2)^5\)
Remaining amount ≈ 1000 grams * 0.03125
Remaining amount ≈ 31.25 grams
Therefore, after 2 hours, approximately 31.25 grams of francium will be left.
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A poster has a thickness of 1.2 x 10-2 inches.
If two posters are glued together, find the
combined thickness of the posters.
Answer:
2.4 × 10^-2
Step-by-step explanation:
You can do a sort of "undistributive" property and factor out the 10^-2 and then add the 1.2+1.2
1.2×10^-2 + 1.2×10^-2
= 10^-2(1.2 + 1.2)
= 10^-2(2.4)
= 2.4 × 10^-2
OR you can change from scientific notation to standard and add them and change back to sci. not. See image.
HELP PLEASE FAST!! Determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number if necessary.
Answer:
26
Step-by-step explanation:
One leg measures 7.
One leg measures 8.
a² + b² = c²
7² + 8² = c²
c² = √113 = 10.630 = 11
perimeter = 7 + 8 + 11
perimeter = 26
The segments shown below could form a triangle.
A. True
B. False
Answer:
true
Step-by-step explanation:
Need help asap. Please interact no bots!!!!
The statement postulate that can be used to determine BC is AC = AB + BC and the value of BC is 3 units
Part A: The statement postulate that can be used to determine BCFrom the question, we understand that:
The point B is between the points A and C
Such that
AC = 10
AB = 7
By the straight lie postulate, we have
AC = AB + BC
Hence, the statement postulate that can be used to determine BC is AC = AB + BC
Part B: What is the value of BC?Recall that
AC = AB + BC
So, we have
10 = 7 + BC
Subtract 7 from both sides
BC = 3
Hence, the value of BC is 3 units
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Estimate a 10% tip on a restaurant bill of $75.28.
8 dollars
Step-by-step explanation:
without rounding it is $7.52 but you would round that to 8
Donna wants to create a stained glass window composed of one quarter circle two semi circles and one parallelogram which measurement is the closest to the amount of stained glass in square inches
Answer:
Wheres the picture so show the measurements
Step-by-step explanation:
Which rational number is one tick mark to the right of Negative StartFraction 6 Over 4 EndFraction on the number line below?
A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number.
Negative one and three-fourths
Negative 1 and one-fourth
1 and one-fourth
1 and three-fourths
Answer:
the answered is a
Step-by-step explanation:
hope this helps
PLS HELP ME ANSWER THIS QUESTION..
Answer:
b. 4
c. 90⁰
Step-by-step explanation:
a. is in the diagram
David is going to invest $290 and leave it in an account for 15 years.
Assuming the interest is compounded continuously, what interest rate,
to the nearest hundredth of a percent, would be required in order for
David to end up with $570?
Which of the following is coterminal to 500 degrees in radians?
5pi/6
8pi/9
2pi/3
7pi/9
Answer:
7pi/9
Step-by-step explanation:
subtract 360 from 500 as many times as you can
number left should be converted to radians
500 - 360 = 140
140 * (pi/180) =
140Pi/180 =
simplify by dividing by 20 top & bottom
7Pi/9
varsitytutors
using distributive property to find 5/6 × 3 1/10
Answer:
2 and 7/12
Step-by-step explanation:
5/6 * (31/10)
=5/6 * (31/10)
=31/12
=2 7/12
HOPE THIS HELPS!!! <3333
-Silver
I need help! I don't really understand.... Can someone help for these 2 questions?? Part A and B??
Answer:
A. 6x + 4
B. 22 cm
Step-by-step explanation:
The perimeter of the triangle is equal to the sum of all the side lengths, which is (2x+3) + (x+1) + (3x), or 6x + 4.
When x = 3cm, the perimeter is 6(3) + 4, which is 22 cm.
If matt and Jan each make 10 gallons of punch, how many more gallons of orange juice would Jan use than Matt?
If Matt and Jan each create 10 gallons of punch, Jan uses 2 liters more orange juice as a result than Matt.
what is unitary method ?Using the unitary approach, an issue can be resolved by first figuring out the value of a single unit, then multiplying that value by the number of units needed to solve the problem. The unitary technique is sometimes useful for multiplying and dividing by fractions because it makes sense immediately and can be done mentally if the numbers add up. This makes it a good method for defending or explaining frequently employed written fractional algorithms, like division by a fraction. The unitary technique has a formula that involves finding the value of a single unit, multiplying it by the quantity of units, and then finding the desired value.
given
For his 10-gallon punch, Matt uses gallons of orange juice, which adds up to 3x=3*2 = 6.
Using the formula Jan uses gallons of orange juice to create 10 gallons of punch and Matt uses gallons of orange juice to make 10 gallons of punch, we can calculate that Jan uses 2 gallons more orange juice than Matt.
If Matt and Jan each create 10 gallons of punch, Jan uses 2 liters more orange juice as a result than Matt.
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Stephen is combining all juice shown to make fruit punch. Does the expression (64+28+76)/6 make sense’s
Yes, the expression (64+28+76)/6 makes sense as it represents the average quantity of juice per unit when combining all the shown juices.
To determine whether the expression (64+28+76)/6 makes sense, we need to evaluate the components of the expression and consider whether the mathematical operations are valid.
The expression (64+28+76)/6 represents the sum of three numbers (64, 28, and 76), divided by 6. Let's break it down step by step:
Addition: We have three numbers being added together: 64, 28, and 76. The sum of these numbers is 168 (64 + 28 + 76 = 168).
Division: The sum of the three numbers, 168, is then divided by 6. Division is a valid mathematical operation.
Now, let's analyze whether the expression makes sense in the context of Stephen combining all the juice to make fruit punch. The numbers 64, 28, and 76 may represent quantities of juice (in some units) that Stephen is combining. However, without further information or context, we cannot determine if the expression accurately represents the combination of these juices.
If the numbers 64, 28, and 76 represent quantities of juice in the same units (such as milliliters or liters), then the expression (64+28+76)/6 would represent the average quantity of juice per unit. The result, 168/6, would be 28. This would imply that each unit (e.g., glass or serving) of the fruit punch contains an average of 28 units of juice.
In summary, mathematically, the expression (64+28+76)/6 is valid. However, without additional context regarding the units or quantities being represented, it is not possible to determine whether the expression accurately describes the process of combining the juices to make fruit punch.
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Last year's sales at Mel's Cinema totaled $144,600. This year's sales should increase by 1/3. How much should sales increase by, and what will sales be in the new year?
An archaeologist found a fossil whose length is489.44 in.
Consult the conversion table to calculate the length of the fossil infeet.
Round your answer to the nearest tenth.
If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.
What is the conversion table?The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions
For instance, the conversion table shows that 12 inches equal 1 foot.
The length of the fossil = 489.44 inches
12 inches = 1 foot
489.44 inches = 40.8 feet (489.44 ÷ 12)
Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.
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