find the domain f(x)=√x-6
The domain of the square root function is:
x ≥6
How to find the domain of the square root function?Remember that for any function y = f(x), we define the domain as the set of the possible inputs of the function. That is, the set of the possible values of x.
Here we have the square root function:
f(x) = √(x - 6)
Now, remember that the argument of a square root must be zero or larger, then to find the domain we need to solve:
x - 6 = 0
x = 6
Then the domain is the set of all the values equal to or larger than 6.
The domain is: x ≥6
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Answer:
105, n+5
Step-by-step explanation:
add five to each input
Brainliest, 40 points
(4a³+6a²-10a-4)+(6a²+a²+a+7)
(4a³+6a³)+(6a²+a²)+(-10a+a) + (-4+7)
10a³+7a²-9a+3
OPTION D is the correct answer
Answer:
option d is the correct answer
I hope it helped U
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find the area of the given rectangle
a length= 25.8m
breadth = 14.5 m
Answer:
A =374.1 m^2
Step-by-step explanation:
Area of a rectangle is
A = l*w
A = 25.8*14.5
A =374.1 m^2
Answer:
Area of rectangle is 374.1 m ²
Step-by-step explanation:
Given That :-Length of rectangle = 25.8 mBreadth of rectangle = 14.5 mTo Find :- Area of rectangleFormula Used :-Area of rectangle = Length × Breadth
Solution : -Using Formula
Area of rectangle = Length × Breadth
substitute the values.
Area of rectangle = 25.8 m × 14.5 m
multiply, we get
Area of rectangle = 374.1 m ²
Therefore, the area of rectangle is 374.1 m ²
The width of a rectangle is represented by 2x and the length is represented by x2-x+ 3. Which expression represents the area of the rectangle?
Answer:
2x^3-2x^2+6x
Step-by-step explanation:
The area of a rectangle is
A = l*w
A = ( x^2 -x+3) * (2x)
Multiply
A = x^2 *2x -x*2x +3 *2x
A = 2x^3-2x^2+6x
NEED HELP! Will give brainiest!! And thanks if you even answer one of them
Answer:
In the questions you are asked to evaluate by substituting the variables to the given number.
PLZ EXCUSE MY HANDWRITING.
PLz solve quick i need help asap. : )
Answer:
20 degrees
Step-by-step explanation:
the two angles must be congruent
4x - 23 = 2x + 17
2x = 40
x = 20
What is the minimum value of the objective function, C with given constraints? C=5x+3y {⎨x+3y≤9 {5x+2y≤20 {x≥1 {y≥2
Answer:
The answer is below
Step-by-step explanation:
Plotting the following constraints using the online geogebra graphing tool:
x + 3y ≤ 9 (1)
5x + 2y ≤ 20 (2)
x≥1 and y≥2 (3)
From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).
We need to minimize the objective function C = 5x + 3y. Therefore:
At point A(1, 2): C = 5(1) + 3(2) = 11
At point B(1, 2.67): C = 5(1) + 3(2.67) = 13
At point C(3, 2): C = 5(3) + 3(2) = 21
Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.
Please help fast!!
What is an equation of the line that passes through the point (-8,0) and is parallel to the line x+2y=14?
Answer:
y=-1/2x-4
Step-by-step explanation:
Hi there!
We're given the equation x+2y=14 and we want to find a line that is parallel to it and passes through (-8,0)
Parallel lines have the same slopes, but different y intercepts.
So let's find the slope of x+2y=14
we do this by converting x+2y=14 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).
for x+2y=14, to convert to slope-intercept form, start by subtracting x from both sides
2y=-x+14
divide both sides by 2
y=-1/2x+7
so the slope of x+2y=14 is -1/2
The slope of the new line (the one parallel to x+2y=14 and passes through (-8,0) will also have a slope of -1/2).
Here's the equation of that line so far:
y=-1/2x+b
we need to find b (y intercept)
as the equation will pass through (-8,0), we can use it to solve for b
substitute -8 as x and 0 as y
0=-1/2(-8)+b
multiply
0=4+b
subtract 4 from both sides
-4=b
substitute into the equation
y=-1/2x-4
Hope this helps! :)
Which system of linear inequalities is represented by the graph?
y > x – 2 and y < x + 1
y < x – 2 and y > x + 1
y < x – 2 and y > x + 1
y > x – 2 and y < x + 1
The system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1
The equation of a line is expressed as y = mx + b
m is the slope of the lineb is the y-interceptFor the blue line;
m = 1
Since the line cuts the line at y = 1, hence the y-intercept is 1
The required equation of the red line will be y > x + 1
For the red line;
m = 1
Since the line cuts the line at y = -2, hence the y-intercept is -2
The required equation of the red line will be y < x - 2
Hence the system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1
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Answer:
B Or y < x – 2 and y > x + 1
Step-by-step explanation:
y < x – 2 and y > x + 1
find the measure of angle TFM
Answer:
130°
Step-by-step explanation:
angle TFM + angle MFD = 180° (being a linear pair)
or, 4m + 142° +2m + 56°= 180°
or, 6m= 180°- 198°
or, m= -18°/6
so, m= -3°
now, angle TFM = 4m +142°= -12°+142°= 130°
The graph of y = e^x is transformed as shown in the graph below. Which equation represents the transformed
function?
Answer:
B
Step-by-step explanation:
y=e^x+3
The perimeter of a rectangle is 10 feet, and the area is 6 square feet. What is the width of
the rectangle?
Hello,
Perimeter of a rectangle : 2 * (length + width)
Area of a rectangle : length * width
We know that the perimeter of the rectangle is equal to 10 feet and its area is equal to 6 square feet.
Let's call x the length of the rectangle and y the width of the rectangle. The pair (x ; y) verifies the following system :
2 (x + y) = 10 ⇔ x + y = 5 ⇔ x = 5 - y
x * y = 6 ⇔ (5 - y) * y = 6 ⇔ 5y - y² - 6 = 0 ⇔ y² - 5y + 6 = 0
⇔ y² - 3y - 2y + 6 = 0 ⇔ y(y - 3) - 2(y - 3) = 0 ⇔ (y - 2)(y - 3) = 0
⇔ y = 2 ou y = 3
x = 5 - y ⇔ x = 5 - 2 or x = 3 - 2 ⇔ x = 3 or y = 2
S = {(3 ; 2) ; (2 ; 3)}
The width of the rectangle is 2 or 3 feet.
:-)
Solve for x.
5x – 10 > 20 or 5x – 10 ≤ –15
100 points my guys
what is the defenition ofmean , medium and mode
Given the function f(x) = −5x^2 − x + 20, find f(3).
Answer:
f(3) = -28
Step-by-step explanation:
f(3) = -5(3²) - 3 + 20
= -5(9) - 3 + 20
= -45 - 3 + 20
= -48 + 20
= -28
I need help with this question. Whoever helps me I will mark branliest! <3
Answer: A, B, C
Step-by-step explanation:
AC is half of AB, so AB = 2AC
1/2 of AB will be AC, and AB
AC = CB
NEED HELP FAST!!!! PLEASE HELP!!
Answer:
AB: 3
BC: 5
CD: 3
DA: 5
Step-by-step explanation:
You’re welcome
Select all expressions that are
equivalent to 8x + 2 – (4x — 2)
(Select all that apply.)
8x + - 4x + 2 + 2
8x + 2 – 4x – 2
8x - 4x + 2 – 2
8x + 2 + - 4x - -2
8x + 4
Answer:
a) 8x + - 4x + 2 + 2
d) 8x + 2 + - 4x - -2
Step-by-step explanation:
Solving for the above expression
8x + 2 – (4x — 2)
Step 1
Expand the brackets
8x + 2 - 4x + 2
Step 2
Collect like terms
8x - 4x + 2 + 2
Step 3
4x + 4
Therefore, the expressions that are
equivalent to 8x + 2 – (4x — 2)
a) 8x + - 4x + 2 + 2
d) 8x + 2 + - 4x - -2
Find the area of the figure. (Sides meet at right angles.)
Answer:
28 square feet
Step-by-step explanation:
the bottom rectangle has side lengths 10x2 and the top rectangle has side lengths 4x2.
10x2=20
4x2=8
20+8=28
I need help Please and thank you
Answer:
Brett baseball went higher
Step-by-step explanation:
his maximum is a vertical that exceeds 80
plz help me it worth 50% of my grade tell wethere it’s proportional of not
Answer:
2) is not proportional, 3) is not proportional, 5) is proportional, 6) is not proportional.
Step-by-step explanation:
Number 2 is not proportional since it doesn't go through the origin on the graph and the line is not a straight line.
Number 3 does not go through the origin, so number 3 is also not proportional.
Number 5 is proportional since when you divide y by x, it is always 7.
Number 6 is not proportional because when you divide y by x or x by y there are not the same answers.
in the diagram find angle mQR
Answer:
[tex]mSQR=1/2m~SR\\[/tex]
[tex]75=1/2m~SR[/tex]
[tex]mSR=150[/tex]
[tex]360=SR+QR+QS[/tex]
[tex]mQR=360-150-133[/tex]
[tex]mQR=77[/tex]
[tex]So, B ~ is ~ your~ answer[/tex]
-----------------------
hope it helps...
have a nice day!
4(3p+2)-5(6p-1)=2(p-8)-6(7p-4)
What are plane shapes
Answer:
A plane shape is a two-dimensional closed figure that has no thickness. A plane in geometry is a flat surface that extends into infinity in all directions. It has infinite width and length, zero thickness, and zero curvature.
Answer:
A closed two dimensional or flat shape figure is called plane shape.
Pedro sale en bicicleta a velocidad constante desde La Romana hacia Santo Domingo a las 10 A.M. Una hora mas tarde se encuentra a 109 km de La Romana sabiendo que la distancia de Santo Domingo a La Romana es de 130 km
V: velocidad
T: tiempo
D: distancia
V= D/T
Answer:
Pedro está circulando a 21 km por hora, y llegará a destino a las 16:12 hs.
Step-by-step explanation:
Dado que Pedro sale en bicicleta a velocidad constante desde La Romana hacia Santo Domingo a las 10 A.M, y una hora mas tarde se encuentra a 109 km de La Romana, sabiendo que la distancia de Santo Domingo a La Romana es de 130 km, para determinar la velocidad a la cual Pedro está circulando y a qué hora llegará a destino se debe realizar el siguiente cálculo:
130 - 109 = 21 km por hora
130 / 21 = 6.19
1 = 60
0.19 = X
0.19 x 60 = 11.4
Por lo tanto, Pedro está circulando a 21 km por hora, y llegará a destino a las 16:12 hs.
Solve for y.
pls help
Answer:
y= -6
Step-by-step explanation:
Solve the system of equations – 2x + y = –8 and 4x– 6y = –24 by combining
the equations.
Answer:
4
Step-by-step explanation:
Multiply the second equation by −2 to get −4x − 12y = −48.
Step-by-step explanation:
Given:
4x + y = 4 (1)
2x + 6y = 24 (2)
Multiply the second equation by −2 to get −4x − 12y = −48.
4x + y = 4 (1)
−4x − 12y = −48 (3)
Variable x can be eliminated by adding the equations
4x + (-4x) + y + (-12y) = 4 + (-48)
4x - 4x + y - 12y = 4 - 48
0 - 11y = -44
-11y = -44
Divide both sides by -11
y = -44/-11
= 4
PLEASE HELP. !!!!!!!
Which situation has a probability of 1/2?
A. picking the number “5” from the integers 1 to 10
B. rolling an odd number on a fair 6-sided number cube
C. randomly choosing the letter “s” from the word “Mississippi”
D. randomly choosing a boy out of a class containing 8 boys and 12 girls
Answer:
a
Step-by-step explanation:
1/2 of 10 is 5
Answer: b
Step-by-step explanation:
there are 6 numbers on a regular dice. 3 even, 3 odd