Option d is the correct answer. All real numbers are greater than or equal to 2.
What are domain and range?Domain of a function--The domain of the function is the set or collection of all the x-values for which the function is well defined.
Range of a function--The range of a function is the set of all the values which are attained by a function in its defined domain.
By looking at the graph we observe that the function is continuously increasing and the function takes all the real values greater than as well as equal to 2( since there is a closed circle at (1,2). Hence, the range is: [2,∞).
Thus Option d is the correct answer. All real numbers are greater than or equal to 2.
To know more about domain and range follow
https://brainly.com/question/2264373
#SPJ1
Solve for N:
A_-21
B_21
C_-96
D_96
Step-by-step explanation:
n + 5 = -16
n = -21
The correct option is -21
Sue has 18 sweets.
Tony also has 18 sweets.
Sue gives Tony x sweets.
Sue then eats 5 of her sweets.
Tony then eats half of his sweets.
Write the expression for the number of sweets Sue and Tony now have
Answer:
Sue : 13 - x Tony : x/2 + 9Step-by-step explanation:
Sue Tony_________________________________________________
initial number of sweets | 18 | 18
| |
Sue gives Tony x sweets | 18 - x | 18 + x
| |
Sue ,eats 5 of her sweets. and | 18 - x - 5 = | (18 + x)/2 =
Tony ,eats half of his sweets | 13 - x | 9 + x/2
What is the degree of the polynomial 6x^2+x^9+5x^7+20x^6
The degree of a polynomial is the highest exponent of the algebraic expression.
[tex]6 {x}^{2} \: + \: {x}^{ \boxed{ \bold{9}}} \: + \: 5 {x}^{7} \: + \: 20 {x}^{6} [/tex]
R// The degree of the polynomial is 9MissSpanishthe sum of 6 and the product of 8 and x
Answer:
6+8x
Step-by-step explanation:
SOMEBODY PLEASE JUST HELP ME I DON'T KNOW
Answer:
Step-by-step explanation:
B is at (-3,-2) Multiply by 3: (-9,-6)
O is at (2,-1) Multiply by 3: (6,-3)
T is at (-3,3) Multiply by 3: (-9,9)
Hope this helps!!
Which of the following is equivalent to:
(2x³ + 2) + (5x³ + 3)
Answer:
Step-by-step explanation:
2x^3 + 5x^3 + 2 + 3 = 7x^3 + 5
Need help with this fast
Answer:
C
Step-by-step explanation:
Formula for the volume of a cone :
Volume (cone) = 1/3πr²h
===========================================================
Given :
⇒ r = 4 units
⇒ h = 21 units
============================================================
Solving :
⇒ Volume (cone) = 1/3 × π × (4)² × 21
⇒ Volume (cone) = 16 × 7 × π
⇒ Volume (cone) = 112π units²
Answer:
[tex]\sf C. \quad 112 \pi \:units^2[/tex]
Step-by-step explanation:
[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
radius = 4 unitsheight = 21 unitsSubstituting the given values into the formula:
[tex]\implies \sf Volume=\dfrac{1}{3} \cdot \pi \cdot 4^2 \cdot 21[/tex]
[tex]\implies \sf Volume=112 \pi \:units^2[/tex]
2. Given the following angle measurements for a triangle, find the remaining angle.
a. 53, 69
b. 105, 47
c. 90, 25
i needs help please
Answer:
Step-by-step explanation:
Please show your work! I'll give brainliest as well, thanks in advance!
The area of a circle is defined as [tex]\pi(r^{2})[/tex], where r = 4.3 here. 4.3^2 ≅ 18.49, so the area of the full circle is 18.49π.
The shaded section covers 12 degrees of the full 360 degrees in a circle, or 1/30th of the area. Therefore, the area of the shaded section is equal to [tex]\frac{18.49\pi}{30}[/tex], or about 1.936. In this question's context, that would be 1.936[tex]in^{2}[/tex].
What is 3.9443.9443, point, 944 rounded to the nearest hundredth?
Answer:
3.94
Step-by-step explanation:
3.944 rounded to nearest hundredth = 3.94 becuase the thousandth digit is <5 you do not change the hundredth
Find out the sum by suitable arrangement.
1 + 2 + 3 + 4 + 5 + 95 + 96 + 97 + 98 + 99
1 + 2 + 3 + 4 + 5 + 95 + 96 + 97 + 98 + 99. = 500
Answer:
500
Step-by-step explanation:
rearrange the sum as
(99 + 1) + (98 + 2) + (97 + 3) + (96 + 4) + (95 + 5)
= 100 + 100 + 100 + 1000 + 100
= 5 × 100
= 500
You roll two number cubes.
Let event A = You roll an even number on the first cube.
Let event B= You roll a 6 on the second cube.
Are the events independent or dependent? Why?
O A. Dependent, because 6 is an even number.
о B. Dependent, because both cubes have six sides.
O C. Independent, because they have no outcomes in common.
D. Independent, because the outcome of the first roll doesn't affect
the outcome of the second roll.
Answer:
Step-by-step explanation:
If you roll an even number it doesn't just get rid of the number off the cube, it still exists
Events A and B are independent.
These events have no outcomes in common,
Option C is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
Events A and B are independent because the outcome of one event does not affect the probability of the other event.
The fact that 6 is an even number is not relevant to the independence of the events.
Event A is the event of rolling an even number on the first cube, which has three even and three odd numbers.
Event B is the event of rolling a 6 on the second cube, which has one 6 and five non-6 numbers.
These events have no outcomes in common, and the outcome of the first roll does not affect the outcome of the second roll.
Therefore,
Events A and B are independent.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ5
if x=2, and y=-3, then xy^2 =
Answer:
36
Step-by-step explanation:
If x = 2 and y = -3...
xy^2=
(2)(-3)^2 =
-6^2 =
36
XY times 2=
(-6)(2) =
-12
Answer:
18
Step-by-step explanation:
First you must fill input the values into their variable counterparts:
xy^2 turns into: 2 * -3 ^2
Since there isn't a parenthesis around x AND y, the exponent only applies to the y value.
-3 ^2 = 9, so 2 x 9 = 18
xy^2 = 18 if x =2 and y = -3
Find the value of x and y
Answer:
x = 1
y = -3
Step-by-step explanation:
cos(pi) = -1
so many ways :
sqrt(0.5/2) = sqrt(0.5/2 × 8/8) = sqrt(4/16)
= sqrt(0.5/2 × 18/18) = sqrt(9/36)
= sqrt(1/4) = 1/2
"nicest" approach (all integers) :
3x² = sqrt(9)
3x² = 3
x² = 3/3 = 1
x = 1
2y = sqrt(36)
2y = 6
y = 6/2 = 3
one of them has to be negative (because cos(pi) = -1), so it has to be y, because 3x² cannot be negative with real numbers.
so, y = -3
-1 × 3×1²/(2×-3) = sqrt(0.5/2) = 1/2
-1 × 3/-6 = 1/2
3/6 = 1/2
1/2 = 1/2
correct
Polygon ABCD is plotted on a coordinate plane and then rotated 90° clockwise about point C to form polygon A′B′C′D′. Match each vertex of polygon A′B′C′D′ to its coordinates.
Graph of rigid functions on a coordinate plane. A quadrilateral vertices are plotted at A (4, 6), B (5, 3), C (4, 2), and D (1, 2) in quadrant 1. Interior are of quadrilateral is shaded.
The vertices of ABCD after 90 degrees clockwise rotation about point C are: A' (0,6), B' (3,7), C' (4,6) and D' (4,3)
How to match the vertices of the polygon?The image of the polygon ABCD is not given; however, the question can still be answered because the coordinates are known.
The vertices of polygon ABCD are given as:
A = (4, 6)
B = (5, 3)
C = (4, 2)
D = (1, 2)
The rule of rotation about point C is:
(x,y) = (a + b - y, x + b - a)
Where:
(a, b) = (4, 2) --- the point of rotation.
So, we have:
(x,y) = (4 + 2 - y, x + 4 - 2)
(x,y) = (6 - y, x + 2)
The above means that:
A' = (6 - 6, 4 + 2) = (0,6)
B' = (6 - 3, 5 + 2) = (3,7)
C' = (6 - 2, 4 + 2) = (4,6)
D' = (6 - 2, 1 + 2) = (4,3)
Hence, the image of the rotation and their vertices (i.e. coordinates) are:
A' = (0,6)
B' = (3,7)
C' = (4,6)
D' = (4,3)
Read more about rotation at:
https://brainly.com/question/4289712
#SPJ1
Classify the triangle by its angles and sides
A. Right scalene
B. Obtuse isosceles
C. Acute scalene
D. Right isosceles
In an urn there are 6 red balls, 4
blue balls and 10 yellow balls.
What is the probability of
choosing a yellow ball?
Answer:
1/2 / 50% chance
Step-by-step explanation:
There are 10 yellow out of 20 (6 + 4 + 10 = 20) balls.
So, the probability is 10 / 20
Or, 1 / 2 (which is the same thing as 50% chance)
(chance = probability)
Which is the graph of 5 log (x + 3)?
Graph is in attached image.
calculates the first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100
The first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.
How to calculate arithmetic progression?The first term of an arithmetic progression can be calculated using the following expression:
Sn = n/2 [2a + (n − 1)d]
Where;
a = first termUn = sumn = no of termsd = common ratio100 = 2 [2a + (4 - 1)4]
100 = 4a + 24
4a = 100 - 24
a = 76/4
a = 19
Therefore, the first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.
Learn more about arithmetic progression at: https://brainly.com/question/20385181
#SPJ1
7 x 3 1/4 = in fraction
Answer:
22 3/4
Step-by-step explanation:
divide 1/4 which is 0.25, then add 3 to that, then multiply it by 7 which is 22.75
then convert it back into a fraction which is 22 3/4
( -16 + 12 ) ÷ ( -4 + 2 ) = What is the Answer
y= -x - 8x - 16 how many solutions
Answer:
1 solution
Key:
Assume x is the the range x > 0 ≥ 1, in other words, assume x is equal to 1.
Step-by-step explanation:
[tex]y = -x - 8x - 16\\= -x - 8x\\= 9x\\= 9x - 16[/tex]
Mariano is standing at the top of a hill when he kicks a soccer ball up into the air. The height of the hill is h feet, and the ball is kicked with an initial velocity of v feet per second. The height of the ball above the bottom of the hill after t seconds is given by the polynomial −16t2 + vt + h. Find the height of the ball after 4 seconds if it was kicked from the top of a 25 foot tall hill at 72 feet per second.
Answer:
57 f
Step-by-step explanation:
-16t² + vt + h
-16(4 s)² + (72 f/s)(4 s) + (25 f)
-256 + 288 + 25 = 57
Write the following phrase as an algebraic expression. Use x for the unknown number.
The sum of -8 and four times a number.
Work Shown:
x = unknown number
4x = four times the unknown number
-8+4x = sum of -8 and the previous expression
-8+4x is the same as 4x+(-8) or 4x-8
if x²+y²=20 and x-y=6 how is x.y?
Answer:
xy = - 8
Step-by-step explanation:
note that
(x - y)² = x² + y² - 2xy , that is
6² = 20 - 2xy
36 = 20 - 2xy ( subtract 20 from both sides )
16 = - 2xy ( divide both sides by - 2 )
- 8 = xy
[tex](x-y)^2=x^2-2xy+y^2[/tex]
Therefore
[tex]6^2=20-2xy\\36=20-2xy\\2xy=-16\\xy=-8[/tex]
Lin surveyed a class of sixth-graders asking how many hours they spend online every month.
They spend about three hours a day online
What is the x-intercept of this function?
Answer:
(3,0)
Step-by-step explanation:
The perimeter of this square is 24x – 20. Which expression represents the length of a side?
6x – 5
12x – 5
4x – 4
Answer:
6x-5
Step-by-step explanation:
We have to find 2 sides added together, so we do (24x-20)/2=12x-10. (12x-10)/2=6x-5, so it is 6x-5.
Given that the quadrilateral is a parallelogram, find the values of x, y and z.
Answer:
x=9
y=4
z=4
Step-by-step explanation:
9x-13=7x+5
9x-7x=5+13
2x=18
x=18/2=9
3y=12
y=12/3=4
11z-41=5z-17
11z-5z=-17+41
6z=24
z=24/6=4