Answer:
When x goes to negative infinity, y goes to positive infinity; when x goes to positive infinity, y goes to positive infinity.
Step-by-step explanation:
The largest power of this function is 4, since the term is x^4. This means that the graph of the function will closely resemble a parabola.
Since the coefficient of x^4 is positive, that means that the parabola will resemble a smile.
The end behavior is when x goes to negative infinity, y goes to positive infinity; when x goes to positive infinity, y goes to positive infinity.
Hope this helps!
True or false? It's possible to create a regular tessellation with a regular octagon.
It is possible to create a regular tessellation with a regular octagon, is false.
What is regular tessellation?A tessellation or tiling is the seamless covering of an area, frequently a flat, including one or much more geometric forms, known as tiles.
It is impossible to create a regular tessellation with a regular octagon because when an octagon is arranged, a gap is there.
Then the statement is false.
More about the regular tessellation link is given below.
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The median of the list n, n + 2, n+3, n+5, n+7, n+8, n+11, n+14, n+16, n+19 is 20. What is the mean?
Answer:
16
Step-by-step explanation:
The median is the average of n + 7 and n + 8 which is n + 7.5. This means that n + 7.5 = 20 so n = 12.5. The average (or mean) is the sum of terms divided by the number of terms. The sum is 10n + 85 and the number of terms is 10, We know that n = 7.5 so the answer is 10 * 7.5 + 85 / 10 = 75 + 85 / 10 = 160 / 10 = 16.
Answer:
21
Step-by-step explanation:
To find the median of the given set, you narrow the options down and get n+7 and n+8 as the middle numbers. The average of those two is n+7.5, so that's the median.
n+7.5=20
n=12.5
Substitute n into the values.
12.5, 14.5, 15.5, 17.5, 19.5, 20.5, 23.5, 26.5, 28.5 and 31.5.
Add everything together to get 210. Divide 210 by 10, the number of values, and you end up with 21.
Milo is a show dog. Her trainer wants her to have a beautiful and brilliant coat.
The veterinarian suggested a special diet for the trainer to follow. Each feeding,
Milo eats 2/3 of a can of wet dog food, 1/8 of a bag of dry dog food, and 3/5 a
patty of special meat. The special meat comes in a package of 6 patties. Milo
has two meals a day.
The dog is completely out of food. The trainer goes to the store and buys 24
cans of wet food, 4 bags of dry food and 3 packages of meat.
How many days will the dog be fed before the trainer needs to buy any more food?
Answer:
did she like it?
Step-by-step explanation:
State whether the following statements are True or False:
a)The sum of 2 and p is 2p.
b)A trinomial can be a polynomial.
Answer:a)false.
Sum of 2and p is=2+P
=2+p [since,the value of p is unknown]
Step-by-step explanation:
a) False. The sum of 2 and p is 2+p. We don't have any like terms to combine, so we leave this as is. The sum of two (or more) items is the result of adding them. The expression 2p is the result of multiplying 2 and p. If it said "the product of 2 and p is 2p", then it would be a correct statement.
b) True. Any trinomial is a polynomial, but not the other way around. A polynomial has us sum many monomial terms. A trinomial is a special type of polynomial with exactly 3 terms being added.
PLEASE ANSWER ASAP!! e)What is the measure of ∠I? Explain
Answer:
[tex]60^{\circ}[/tex]
Step-by-step explanation:
From the given figure it is clear that the stop board is a regular hexagon and ∠I is an exterior angle of the regular hexagon.
Exterior angle of a regular polygon with n sides [tex]=\dfrac{360^{\circ}}{n}[/tex]
In a regular hexagon number of sides: n =6
Exterior angle of a regular hexagon [tex]=\dfrac{360^{\circ}}{6}=60^{\circ}[/tex]
Since ∠I is an exterior angle of the regular hexagon, therefore, [tex]\angle I=60^{\circ}[/tex].
Answer:
Answer:
60
Step-by-step explanation:
From the given figure it is clear that the stop board is a regular hexagon and ∠I is an exterior angle of the regular hexagon.
Exterior angle of a regular polygon with n sides
In a regular hexagon number of sides: n =6
Exterior angle of a regular hexagon
Since ∠I is an exterior angle of the regular hexagon, therefore, . is 60
Step-by-step explanation:
Please Help!! Rewrite as a square or cube of a number: 125
Answer:
5^3
Step-by-step explanation:
125 = 5^3
cube rt. of 125 = 5
5*5*5 = 125
Hope this helps:)
Question 5 of 10
This graph shows the solution to which inequality?
(3, 3)
(-3,-1)
Answer:
What graph
Step-by-step explanation:
I’m confused
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -3), B(4, -3), C(4,5), and D(2,5) What is the perimeter of rectangle ABCD
Answer:
20
Step-by-step explanation:
(2,-3) to (4,-3) = 2
(4,-3) to (4,5) = 8
(4,5) to (2,5) = 2
(2,5) to (2,-3) = 8
Total =20
Answer:
20
Step-by-step explanation:
khan said so trust me
What's the equation of the parabola that has its vertex at (4,–1) and a y-intercept at (0,7)?
Question 2 options:
A)
y = –1∕2(x + 4)2 – 1
B)
y = 1∕2(x + 4)2 – 1
C)
y = 1∕2(x – 4)2 – 1
D)
y = 1∕2(x – 4)2 + 1
Answer:
C
because it is given that the vertex is (4, - 1) an an equation C it is clearly seen that the vertex is same.
Equation of parabola with vertex at (4,-1) and y-intercept at (0,7) is equals to y = (1 / 2) (x -4)² - 1.
What is parabola?"Parabola is a U shaped curve, where points on the curve is equidistant from a fixed point."
General equation of parabola with vertex (h, k)
y = a( x- h)² + k
According to the question,
Vertex =( 4, -1)
y-intercept = ( 0,7)
Substitute the value of vertex in equation of parabola , we get
y = a ( x - 4)² + ( -1)
⇒ y = a (x -4)² - 1 _____(1)
Now substitute the value of y-intercept in (1) , we get
7 = a (0 - 4)² - 1
⇒ 16a = 8
⇒ a = 1 / 2
Now again substitute the value of 'a' in (1) , we get
y = ( 1/ 2) (x - 4)² - 1
Hence, we conclude that Option C is correct.
Learn more about parabola here
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1,75, 3.5, 7___, 8 In the pattern above, what number belongs between 7 and 28
Answer:
14
Step-by-step explanation:
Given:
a1 = 1.75
a2 = 3.5
a3 = 7
a5 = 28
Find:
a4 = ?
Computation:
Common multiply (d) = a2/a1, a3/a2
Common multiply (d) = 3.5/1.75, 7/3.5
Common multiply (d) = 2
So,
a4 = a3 × Common multiply
a4 = 7 × 2
a4 =14
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Answer:
The ordered pair is(6,2)
Step-by-step explanation:
2x+2y=16_equation1
y=x-4_equation 2
isolate y in(2x+2y=16)
2y=16-2x
divide both sides by 2
y=8-x
substitute y into equation 2
8-x=x-4
8+4=2x
12=2x
divide both sides by 2
x=6
substitute x into equation 1
2(6)+2y=16
12+2y=16
2y=16-12
2y=4
divide both sides by 2
y=2
Please answer this question now
Answer:
(8,1)
Step-by-step explanation:
Answer:
The midpoint is (8,1)
Step-by-step explanation:
To find the midpoint take the average of the x coordinates and the average of the y coordinates
x= (x1+x2)/2 and y = (y1+y2)/2
x = (-3+19)/2 = 16/2 = 8
y = (-12+14)/2 = 2/2 = 1
The midpoint is (8,1)
what is 10x^5 ÷ x^2
Answer:
The quotient of 10x⁵ ÷ x² equals to 10x³
Step-by-step explanation:
In the problem, we are asked to find the quotient of 10x⁵ ÷ x². The rule of exponents is when you are dividing exponents, you subtract the exponential numbers. So, you would subtract 5 by 2 because those are our exponential values.
So, 10x⁵ ÷ x² equals 10x³
A factory can work its employees no more than 5 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve the
inequality to determine the range in hours. Show all of your work.
Answer: A.) 2 <= X <= 5
B.) 48 < = X < = 120
Step-by-step explanation:
Given that a factory can work its employees no more than 5 days a week, that is, less than or equal to 5 days a week
And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.
Let X represent the number of days an employee can work per week.
According to the first statement,
X < = 5
According to the second statement,
X >= 2
An inequality to represent the range of days an employee can work will be
2 < = X <= 5
To represent the range in hours, first convert the number of days to hour
1 day = 24 hours
2 days = 2 × 24 = 48 hours
5 days = 5 × 24 = 120 hours
Therefore, the range will be
48 < = X < = 120
I need help with this please....Thanks
Answer:
The total cost of redecoration is £66, that is less than £75. Tenant can decorate the room for the budget set.
Step-by-step explanation:
Lets start calculating the areas of shorter and longer walls.
The area of shorter wall is
2.65m*2.98m=7.897m^2.
The area of longer wall is
3.94m*2,65m=10.441m^2.
Together the area of one long and one short wall is
7.897m^2+10.441m^2=18.338m^2.
The area to be painted ( one short and one long wall) is 18.338m^2 that is less than 30m^2, and hence only one tin of paint is needed (costs £16).
If there is assumed that the sheets of wallpaper must be whole from floor to ceiling, the calculations are following.
We get from one roll
10m/2.65m=3.77 sheets; we can use only 3 of them
The width of the walls is 3,94m+2,98m=6,92m,
and division gives 6.92m/0.52m=13,3... .
Hence it requires 14 sheets, that is 5 rolls of wallpaper.
Wallpaper costs 5*£10=£50 and altogether it is needed £50+£16=£66 to redecorate the room.
PLEASE HELP! 10 POINTS!The graphs of f(x) and g(x) are shown below:
What are the solutions to the equation f(x) = g(x)?
Ox= -3,4
x = -4.2.5
X = -0.8, 2.5
X = 8.-8
Answer:
x = -4, 2.5
Step-by-step explanation:
To find the solution, look for the points where the line crosses the parabola. As this question only asks for the x-values, find the distance to the left and right of the y-axis. Here, it's -4 on the left and 2.5 on the right.
A clock loses 5 seconds every 12 minutes. At this rate, how many minutes will the clock lose in a 24-hour period?
10 minutes
Step-by-step explanation:24h = 24x60min = 1440min
5 sec ............. 12 min
x sec ..........1440 min
x = 1440*5/12 = 600 sec = 10 min
Given the system of linear equations. x=y+3 y=-4x-3 Part A: Solve the linear system of equations by graphing Part B: Use substitution to solve the linear system of equations Part C: Use addition to solve the linear system of equations In your final answer, include all of your work, the graph of the equations and the solution.
Answer:
see below
Step-by-step explanation:
x=y+3
Subtract 3 from each side
x-3 = y
y = x-3
y=-4x-3
We have both equations in slope intercept form
y = mx +b where m is the slope and b is the y intercept
graph is below
They both have the same y intercept so they intersect at (0,-3)
Substitution
x=y+3
y=-4x-3
Substitute the second equation into the first equation
x=y+3
x = -4x-3 +3
x = -4x
Add 4x to each side
5x =0
x=0
y = -4x-3
y = 0-3
y = -3
(0,-3)
Additon
x=y+3
Subtract y from each side
x-y = 3
y=-4x-3
Add 4x to each side
4x+y =-3
Add the equations together to eliminate y
x-y = 3
4x+y =-3
-----------------
5x +0y =0
5x = 0
x=0
Now solve for y
y = -4x-3
y = 0-3
y = -3
(0,-3)
Answer:
The linear vertion of 26
Step-by-step explanation:
The given line passes through the points and (4,1).
On a coordinate plane, a line goes through (negative 4, negative 3) and (4,1).
What is the equation, in point-slope form, of the line that is perpendicular to
the given line and passes through the point (-4, 3)?
Hey there! :)
Answer:
y -3 = -2(x + 4).
Step-by-step explanation:
Begin by calculating the slope of the line shown in the graph. Use the slope formula:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in two coordinates:
[tex]m = \frac{1-(-3)}{4-(-4)}[/tex]
Simplify:
[tex]m = \frac{4}{8}[/tex]
[tex]m = \frac{1}{2}[/tex]
Therefore, the slope of the line is 1/2.
A line that is perpendicular contains a slope that is the negative reciprocal. Therefore:
1/2 --> -2.
Plug the slope into the point-slope formula:
y -3 = -2(x + 4). This is your equation in point-slope form!
Answer:
y-3 = -2(x+4)
Step-by-step explanation:
You start at (2, 7). You move up 3 units. Where do you end?
Answer:
(2, 10)
Step-by-step explanation:
Since we are only focusing on vertical movement, we are looking at the y-value. We are moving up 3 units, so we just add 3 to 7 to get 10.
Answer:
2,10
Step-by-step explanation:
The X-axis goes horizontally, and the Y-axis goes vertically, and when doing these coordinate like things, the X-axis goes first, and the Y-axis goes second. So 2 is the X-axis, and 7 is the Y-axis. So if you have to move up 3 units, you have to add 3 to 7, because 7 is vertical and 2 is horizontal.
The function g(x) = x2 is transformed to obtain function h: h(x) = g(x) + 1. Which statement describes how the graph of h is different from the graph of g? A. The graph of h is the graph of g horizontally shifted left 1 unit. B. The graph of h is the graph of g horizontally shifted right 1 unit. C. The graph of h is the graph of g vertically shifted down 1 unit. D. The graph of h is the graph of g vertically shifted up 1 unit.
Answer:
Step-by-step explanation:
The graph of g(x), if translated upward by 1 unit, becomes the graph of h(x) = g(x) + 1.
Answer:
other person in correct!!!!!!!!!!!!!!
Step-by-step explanation:
Determine the value of in, in each of the following cases, where n represents all positive integer values.
Answer:
I need more info.
Step-by-step explanation:
simplify each expression using the proper order of operations. please help thank you so much :)
[tex]\frac{41 - 3^2}{\sqrt{36}* 3 - 26 }[/tex]= ?
12 + [tex]{3} \sqrt{8}[/tex]*(9-2)= ?
[tex]\frac{28-(7^2+3)}{-13+3*5}[/tex]= ?
[tex]\frac{28}{4}[/tex] -[tex]\sqrt[3]{8}[/tex]* [tex]\frac{2}{3}[/tex]= ?
7^2 - 5* 8+1= ?
(2* [tex]\sqrt{16}[/tex]) -([tex]\sqrt[3]{27}[/tex]* [tex]\sqrt{81}[/tex]) + 7= ?
Answer:
[tex]\frac{41 - 3^2}{\sqrt{36} * 3 - 26} = -4[/tex]
[tex]12 + 3\sqrt{8} * (9 - 2) = 12 + 42 \sqrt{2}[/tex]
[tex]\frac{28 - (7^2 + 3)}{-13 + 3 * 5} = -12[/tex]
[tex]7^2 - 5* 8+1 = 10[/tex]
[tex](2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18[/tex]
Step-by-step explanation:
Required: Solve the expressions using proper operation order
To solve this, we'll make use of BODMAS
--------------------------------------------------------------------------------------------------------
[tex]\frac{41 - 3^2}{\sqrt{36} * 3 - 26}[/tex]
Evaluate all squares and square roots
[tex]\frac{41 - 3*3}{\sqrt{36} * 3 - 26}[/tex]
[tex]\frac{41 - 3*3}{6 * 3 - 26}[/tex]
Evaluate the numerator (Start by multiplying 3 * 3)
[tex]\frac{41 - 9}{6 * 3 - 26}[/tex]
Subtract 9 from 41
[tex]\frac{32}{6 * 3 - 26}[/tex]
Evaluate the denominator (Start by multiplying 6 * 3)
[tex]\frac{32}{18 - 26}[/tex]
[tex]\frac{32}{-8}[/tex]
Divide 32 by -8
-4
Hence;
[tex]\frac{41 - 3^2}{\sqrt{36} * 3 - 26} = -4[/tex]
--------------------------------------------------------------------------------------------------------
[tex]12 + 3\sqrt{8} * (9 - 2)[/tex]
Start by evaluating the bracket
[tex]12 + 3\sqrt{8} * 7[/tex]
Then evaluate the multiplication
[tex]12 + 21\sqrt{8}[/tex]
Simplify the square root
[tex]12 + 21\sqrt{4 * 2}[/tex]
Split the square root
[tex]12 + 21\sqrt{4} * \sqrt{2}[/tex]
Take Square root of 4
[tex]12 + 21 * 2} * \sqrt{2}[/tex]
[tex]12 + 42 \sqrt{2}[/tex]
Hence;
[tex]12 + 3\sqrt{8} * (9 - 2) = 12 + 42 \sqrt{2}[/tex]
--------------------------------------------------------------------------------------------------------
[tex]\frac{28 - (7^2 + 3)}{-13 + 3 * 5}[/tex]
Evaluate 7²
[tex]\frac{28 - (49 + 3)}{-13 + 3 * 5}[/tex]
Evaluate all expression in the bracket
[tex]\frac{28 - (52)}{-13 + 3 * 5}[/tex]
[tex]\frac{28 - 52}{-13 + 3 * 5}[/tex]
Evaluate 3 * 5
[tex]\frac{28 - 52}{-13 + 1 5}[/tex]
[tex]\frac{-2 4}{2}[/tex]
[tex]-12[/tex]
Hence;
[tex]\frac{28 - (7^2 + 3)}{-13 + 3 * 5} = -12[/tex]
--------------------------------------------------------------------------------------------------------
[tex]7^2 - 5* 8+1[/tex]
Evaluate 7²
[tex]49 - 5* 8+1[/tex]
Evaluate 5 * 8
[tex]49 - 40 + 1[/tex]
[tex]10[/tex]
[tex]7^2 - 5* 8+1 = 10[/tex]
--------------------------------------------------------------------------------------------------------
[tex](2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1[/tex]
Evaluate all square root and cube root
[tex](2 * 4) - (3 * 9) + 1[/tex]
Solve the expressions in bracket
[tex]8 - 27 + 1[/tex]
[tex]-18[/tex]
Hence;
[tex](2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18[/tex]
How many terms uririei
Answer:
fkdoekenrnfrkdoki
Step-by-step explanation:
haha dokie
Which point is on the graph of the equation y = 4x - 3?
Answer:
D. (2, 5)
Step-by-step explanation:
In order to determine whether an ordered pair is on the graph of a given equation, when we plug the x-coordinate in for x and the y-coordinate in for y, the equation should hold true.
Let's try each of the answer choices:
A. (4, -3)
y = 4x - 3
-3 =? 4 * 4 - 3
-3 =? 16 - 3
-3 =? 13
This is clearly wrong, so eliminate A.
B. (3, 4)
y = 4x - 3
4 =? 4 * 3 - 3
4 =? 12 - 3
4 =? 9
This is clearly wrong, so eliminate B.
C. (1, -1)
y = 4x - 3
-1 =? 4 * 1 - 3
-1 =? 4 - 3
-1 =? 1
This is clearly wrong, so eliminate C.
D. (2, 5)
y = 4x - 3
5 =? 4 * 2 - 3
5 =? 8 - 3
5 =? 5
This is true, so D is the answer.
Our answer is thus D.
~ an aesthetics lover
Answer:
The answer is D
(2,5)
Step-by-step explanation:
Do the numbers in the table below represent a proportional relationship?
Answer:
No.
Step-by-step explanation:
No, since then it something times the bananas' value would equal the total weight. For the first two bananas, the weight is proportional, but the 0.45 * 3 = 1.35, not 1.20. Thus, it is not proportional.
The solutions to the inequality y s 2x - 4 are shaded on
the graph. Which point is a solution?
(-1, 1)
(1, -1)
(3, 2)
(2, 3)
Answer:
Step-by-step explanation:
Refer to the attached figure. Note that the solution set is shaded, and includes all points on the solid boundary line.
black point (-1,1) is outside of the solution set
Red point (1,-1) is also outside of the solution set.
Yellow point (3,2) is on the solid boundary line, so it is part of the solution set
Blue point (2,3) is outside of the solution set.
Which statement is true? ANSWER ASAP
Answer:
The Second one is true.
Step-by-step explanation:
To solve this, you need to understand the basic rules of adding, multiplication, division, etc of square roots.
So, I just came up with examples, and solved.
[tex]\sqrt[2]{3} *\sqrt[2]{7} \neq \sqrt[4]{3*7}[/tex]
No. This does no make sense. (according to the rules of square roots)
[tex]2\sqrt{x} +7\sqrt{x} =9\sqrt{x}[/tex]
This makes sense because it is similar to the adding and subtracting variables with coefficients.
Third one is definitely not true. How can you divide something, and end up multiplying like that? No. Definitely not true.
Fourth one is not true, because the exponent would remain out of the square root. The Second one is true.
Hope this helps!
Find the slope of line p.
82. Subtract 12x? + 6y - 3 and 3x? - 9y + 12
Answer:
-x^2+15y-15
Answer if it is a ^2
Step-by-step explanation:
2x^2 + 6y - 3 -(3x^2 - 9y + 12)=
2x^2+6y-3-3x^2+9y-12=
-x^2+15y-15
is it a ^2 or a question mark