Answer:
The domain of the function should be:
'x greater than or equal to negative -5'.
Hence, option A is true.
Step-by-step explanation:
Given the expression
[tex]2\sqrt{x-5}[/tex]
The domain of a function is the set of input or arguments for which the function is real and defined
We know that the value, inside the radicand, is the number found inside a radical symbol which must be greater than 0, otherwise, it would make the function undefined,
i.e.
x-5 ≥ 0
x ≥ 5
In other words, the domain of the function should be:
'x greater than or equal to negative -5'.
Therefore, the domain of the function:
x ≥ 5
[tex]\mathrm{Domain\:of\:}\:2\sqrt{x-5}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:5\:\\ \:\mathrm{Interval\:Notation:}&\:[5,\:\infty \:)\end{bmatrix}[/tex]
Hence, option A is true.
The domain of the function y = 2√(x - 5) will be x greater-than-or-equal-to 5. Then the correct option is C.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
y = 2√(x - 5)
Then the domain of the function will be
We know that the value inside the square root should be greater than or equal to zero. Then the domain will be
x - 5 ≥ 0
Simplify the inequality, then the domain of the function will be
x - 5 ≥ 0
x ≥ 5
The domain of the function y = 2√(x - 5) will be x greater-than-or-equal-to 5.
Then the correct option is C.
More about the domain and range link is given below.
https://brainly.com/question/12208715
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3y−3x= 21 standard to slope intercept form
Answer:
y=x+7
Step-by-step explanation:
Michelle has starting balance on a gift card for $300. She buys several dresses at $40 a piece.After her purchase she has $140 left on her gift card.How many dresses did she buy?
Answer:
4!
Step-by-step explanation:
40 x 4 = 160
160+ 140 = 300
Answer:
4 dresses
Step-by-step explanation:
If she starts with $300 and ends up with $140, that means that she spent $160. So, since each dress costs $40, you divided $160 by $40, which equals 4. So Michelle bought 4 dresses.
(hope this helps!)
can someone pls help me! thank you!
Answer:
6 hours
Step-by-step explanation:
she played game 25% of the time.
25% of 30 hours is 7.5 hours
she researched 5% of the time.
5% of 30 hours is 1.5 hours
so she played game 7.5-1.5=6 more hours than she researched
Which of the following is the product of the rational expressions shown
below?
3/x+7 x 4/x
Answer:
12/ x^2+7x
Step-by-step explanation: Took the test and got it right
The product of the expression 3/(x+7) and 4/x is equivalent to the expression 12/(x^2+7x) option 12/(x^2+7x) is correct.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
The polynomial can be represented as:
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have polynomial:
[tex]\rm = \frac{3}{x+7}\times \frac{4}{x}[/tex]
[tex]=\rm \frac{3\times4}{x(x+7)}[/tex]
[tex]\rm = \frac{12}{x^2+7x}[/tex]
Thus, the product of the expression 3/(x+7) and 4/x is equivalent to the expression 12/(x^2+7x) option 12/(x^2+7x) is correct.
Learn more about Polynomial here:
brainly.com/question/17822016
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what is the domain of g
Answer:
We conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.
Thus, the domain of g is: -7 ≤ x ≤ 4
Step-by-step explanation:
We know that the domain of a function is the set of inputs or argument values for which the function is defined.
From the given graph, it is cleared that the function g starts from the x-value x = -7 and ends at x = 4.
It means the function is defined for the set of input values from x = -7 to x = 5 for which the function is defined.
Therefore, we conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.
Thus, the domain of g is: -7 ≤ x ≤ 4
Help! What does x equal???
Answer:
x = 20/9
Step-by-step explanation:
Step 1: Cross-multiply.
Step 2: Divide both sides by 3.
and you should get this :P
Answer: X=20/9
beacause x eqauls to 4/3 times 53/3
What is the image of (6,-7) after a reflection over the line y=x
One professor grades homework by randomly choosing 5 out of 12 homework problems to grade. a) Andrew did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded
Answer:
[tex]Probability = \frac{1}{792}[/tex]
Step-by-step explanation:
Given
[tex]Questions = 12[/tex]
[tex]Selection = 5[/tex]
Required
Probability of grading the selected 5 by Andrew
First, we need to determine the total number of selections.
This is calculated as: [tex]^{12}C_{5}[/tex]
Solving further:
[tex]^{12}C_{5} = \frac{12!}{(12-5)!5!}[/tex]
[tex]^{12}C_{5} = \frac{12!}{7!5!}[/tex]
[tex]^{12}C_{5} = \frac{12*11*10*9*8*7!}{7!*5*4*3*2*1}[/tex]
[tex]^{12}C_{5} = \frac{12*11*10*9*8}{5*4*3*2*1}[/tex]
[tex]^{12}C_{5} = \frac{95040}{120}[/tex]
[tex]^{12}C_{5} =792[/tex]
There is only 1 for Andrew's question selection.
So, the required probability is:
[tex]Probability = \frac{1}{792}[/tex]
help pls it’s due today
Answer:
first one is 3/12 and second one is8/ 12
What are the coefficients for the binomial expansion of (p + q)6?
1, 8, 28, 56, 70, 56, 28, 8, 1
1, 6, 15, 20, 15, 6, 1
1, 5, 10, 10, 5, 1
1, 4, 6, 4, 1
Step-by-step explanation:
Tr+1 = nCr * a^(n-r) * b^r.
Therefore the coefficients of the binomial expansion of (p + q)⁶ are 6C0, 6C1, 6C2, 6C3, 6C4, 6C5 and 6C6.
=> 1, 6, 15, 20, 15, 6, 1.
You can also look up Pascal's triangle which gives shortcuts in finding the coefficients for binomial expansions.
Which angle corresponds to the angle?
9514 1404 393
Answer:
C
Step-by-step explanation:
Corresponding angles are listed in the same order in the mapping statement.
C' is the third vertex named in A'B'C'D'. It corresponds to the third vertex named in ABCD, which is C.
angle C' corresponds to angle C
PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!
Answer:
NO
Step-by-step explanation:
The answer is no because the first column is 1 times 1 which is 1. The second column is 2 times 1 which is not 4. So this table is not proportional.
Please mark brainlliest if you want.
Jerritt has 5 friend . 2 have video game and the rest have dont have any. He gives Leonard 2 of his video game. Know Jerritt has 2 video game. How many of Leonard friend dont have video game?
Answer:
3
Step-by-step explanation:
hdvrgxgvsjvdthvdrggxjtevhrrvbh
A square has sides of 10cm. what is its area?
Answer:
100 cm²
Step-by-step explanation:
In a square
length of the sides (L) = 10 cm
Area of square (A) = L² = ( 10 ) ² = 100 cm²
Answer:
100cm^2
Step-by-step explanation:
10×10 is 100
so it's 100cm squared
one number is three times of the other and their arithmetic mean is 10 find them
Step-by-step explanation:
data
let the unknown numbers = x and y respectively
y is 3 × greater than x so, y = 3x
x+y/ 2 = 10
solution:
x + 3x= 10
4x=10
divide both sides by 4
x=4/10 or 2 1/2find the value of x in the figure
Answer:
25°
Step-by-step explanation:
from the triangle on the left, angles BAD and BDA are equal
angles in a triangle add up to 180°
so 180 - 80 = 100 /2 = 50°
now the straight line ADC angle is 180°
so 180° - 50° = 130 ° for angle BDC
the angle for x is the same as angle DBC
for the triangle on the right angles must add up to 180°
180 - 130 = 2x
50 = 2x
25° =x
Answer:
50
Step-by-step explanation:
let a,b
a=b being base angles.of isoceles triangle
80+a+b=180 sum of angles of triangle
80+a+a=180
2a=100
a=50
80+a+x=180 being sum of angles of triangle
50+a=100
x=50
y = 5x-3
Given x = 9
y =
PLEASE ANSWER QUICK! WILL MARK BRAINLIEST!
Answer:
Step-by-step explanation:
AB=99
ABC=1391
BAC=992
ACB=3301
The Florida Panther can run at a rate of 35 miles per hour. How many miles can the panther run in 3 hours?
Answer:
105 miles in 3 hours
Step-by-step explanation:
Your Welcome
As part of a survey of college students a researcher is interested is the variable, class standing. She records a '1' if the student is a freshman, a '2' if the students is a sophomore, a '3' if the student is a junior, and a '4' if the student is a senior. The variable, class standing is:________.
a. both categorical and quantitative
b. quantitative
c. categorical
d. none of the above
Answer:
c. categorical
Step-by-step explanation:
Categories of the record
1 2 3 4
Freshman Sophomore Junior Senior
This is simply a categorical arrangement of students in the college by the researcher who is interested in the variable, class standing. So option C is correct
A three member band decided they wanted new outfits shirts cost $15 each pants cost 36 each and shoes cost 49 each what is the total cost of the new outfits for all of the members
Answer: $300
Step-by-step explanation:
3 (15) + 3 (36) + 3 (49)
45 + 108 + 147
300
The total cost is $300
5. (06.01)
Evaluate the expression 5^3 - (13 – 8) x 2. (4 points)

Answer:
=21.2
Step-by-step explanation:
53/(13-8)*2
=53/5*2
=10.6*2
=21.2
Answer:
21.2 i got this correct on my test
Step-by-step explanation:
If m∠Y = 107° and m∠Z = 33°, what is m∠X?
(Start with the sum of the angles of a triangle
and work backwards.)
A. m∠X = 27° C. m∠X = 33°
B. m∠X = 40 D. m∠X = 120
Answer:
B would be the answer.
Step-by-step explanation:
Use what they said. All angles in a triangle would sum to 180 degrees.
So based on that, 107 + 33 + <x = 180
140 + <x = 180
<x would then be 40 degrees
A bear has a mass of
126 kg. It is up in a
tree that is 2 m high.
How much potential
energy does the
bear have?
Answer:
2469.6 Joules
Step-by-step explanation:
frances can complete 91 oil changes in 7 days How many oil changes can Frances complete in 11 days .
Answer:
143
Step-by-step explanation:
Please help this is due today
Show work please
Answer: ↓↓↓Btw sorry its not in order
Step-by-step explanation:
m∠62 and ∠g are vertical angles so they're congruent.
∠g = 62°
∠f and m∠62 are linear pairs so they're supplementary
∠f + 62 = 180
∠f = 118°
∠e is a right angle and is supplementary to a 90° angle
∠e = 90°
Adding ∠e, m∠28° and the missing angle should sum up to 180° since its a triangle. x = missing angle
x + ∠e + m∠28 = 180°
x + 90 + 28 = 180
x + 118 = 180
x = 62°
∠h ≅ x
∠h ≅ 62
∠h = 62°
∠b and m∠28 are vertical angles so they're congruent.
∠b ≅ m∠28
∠b = 28°
∠b and ∠a are linear pairs so they are supplementary.
∠a + ∠b = 180
∠a + 28 = 180
∠a = 152°
∠c and ∠a are corresponding angles so they're congruent.
∠c ≅ ∠a
∠c ≅ 152
∠c = 152°
∠c and ∠j are vertical angles so they're congruent.
∠j ≅ ∠c
∠j ≅ 152
∠j = 152°
The corresponding angle of c is 152° as well. Let's call it y. Y corresponds to the angle with a bisector. Call that whole angle z.
z ≅ y
z ≅ 152
z = 152°
Z has a bisector meaning the two angles that formed because of the bisector are congruent.
∠d and the other angle add up to 152°. They're equal.
∠d = 152 ÷ 2
∠d = 76°
Hope I helped!
Please help I will give you a brainliest
Answer: it is red
Step-by-step explanation:
With an increase in temperature, the particles move faster as they gain kinetic energy
Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?
x squared over 8 plus y squared over 4 equals 1
x squared over 16 plus y squared over 4 equals 1
x squared over 8 minus y squared over 4 equals 1
x squared over 16 minus y squared over 4 equals 1
Answer:
x squared over 4 plus y squared over 8 equals 1
Step-by-step explanation:
The general equation of ellipse is given as;
(x²/a²) + (y²/b²) = 1
The coordinates of a foci are: (±c, 0) where;
c² = b² - a²
However, we know that equation of directrix is; x = ±a/e
Now, Directrix is given ±4
Thus, a/e = 4
a = 4e
We also know that c = ae from ellipse foci coordinates.
Thus, ae = 2
since ae = 2, then (4e)e = 2
4e² = 2
e² = 2/4
e = 1/2
Thus;
a = 4 × 1/2
a = 2
Since c² = b² - a²;
2² = b² - 2²
4 = b² - 4
b² = 8
From (x²/a²) + (y²/b²) = 1, we can put our values to get;
x²/4 + y²/8 = 1
Bacteria tend to grow very fast in a Petri dish at first because of unlimited food and then begin to die out due
to competition. In a certain culture, the number of bacteria is given by N(t)=-2°+92 +625, where !
represents the hours since 625 bacteria were introduced to the Petrì dish. Determine the maximum number
of hacteria that occur in the dish.
Answer:
6. Bacteria tend to grow very fast in a petri dish at first because of unlimited food and then begin to die out due
to competition. In a certain culture, the number of bacteria is givenby N(f) =1f +92t+.625' where /
represents the hours since 625 bac,teriawere introduced to the Petri dish. Determine the *={TlgX9"t
of bacteria that occur in the dish.
Step-by-step explanation:
t= -92/-2(2) =23
N (23) power 2 +92(23) + 625 =1628
my hands are paining by typing
please make me as brainleist
Anyone know how to solve these
Answer:
1: 64π
2: 49π and 153.86
Step-by-step explanation:
For the first one we know that it has a diameter of 16 which means it has a radius of 8 (half the diameter)
To find the area of a circle use the following formula
π*r² where r is the radius
This means that the first answer is π*8^2
which is 64π
For the second one it's the same deal but the radius is 7
so the answer is 49π