Answer:
The sum of the polynomials is a 7th degree polynomial.
The difference of the polynomials is a 7th degree polynomial.
Step-by-step explanation:
Janie's polynomial is a 3rd degree with only x terms. Maybe she wrote:
f(x) = x^3
or maybe she was fancy and wrote:
f(x) =
x^3 + 2x^2 - 7x + 4
could be anything really, but the biggest exponent is 3.
Then Max does like:
g(x) = x^7
or
g(x) = x^7-x^4-3x+2
Whatever he made up, but the biggest exponent is 7.
So if they add or subtract their two polynomials, there's no x^7 in Janie's to add with the x^7 in Max's. MAYBE Max put some x^3 or x^2 or x or constants that might combine with the terms in Janie's.
Either way, anything that Max put in his polynomial that is a bigger power than 3 (4th, 5th, 6th, or 7th power) is just going to end up in the sum or difference.
What is the perimeter of square abcd? startroot 37 endroot units 4 startroot 37 endroot units 28 units 37 units
Answer:
Step-by-step explanation:
All you have to do is add the four sides together and that should be your answer.
(B.) 4√37 units
Good luck! Please rate if this helped! <3
Shape x is translated by 4 units to the right and 1 unit down, what are the coordinates of c'
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of objects. The coordinates of c' are (a+4, b-1).
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
Let the coordinates of c be represented by (a,b). Now, if the shape x is translated by 4 units to the right and 1 unit down. Then, the coordinates of c' are:
c = (a, b)
c' = (a+4, b-1)
Hence, the coordinates of c' are (a+4, b-1).
Learn more about Coordinates:
https://brainly.com/question/23450276
#SPJ1
how do you solve this pls
Step-by-step explanation:
The equation of a exponential function is
[tex]a \times (b) {}^{x} [/tex]
where a is the y value of the y intercept, b is the constant rate of change.
Here the y intercept is (0,4), the y value of the y intercept is 4.
So a=4
The graph passes through point (1,2) so
[tex]h(x) = 4 \times b {}^{x} [/tex]
Plug in 1 for x, 2 for h(x)
[tex]2 = 4 \times {b}^{1} [/tex]
Anything to the first power is itself so
[tex]2 = 4 \times b[/tex]
Isolate b.
[tex] \frac{1}{2} = b[/tex]
So our function is
[tex]4 \times ( \frac{1}{2} ) {}^{x} [/tex]
Answer:
[tex]h(x)=4\left(\dfrac{1}{2}\right)^x[/tex]
Step-by-step explanation:
Exponential Function
General form of an exponential function:
[tex]y=ab^x[/tex]
where:
a is the initial value (y-intercept).b is the base (growth/decay factor) in decimal form.x is the independent variable.y is the dependent variable.From inspection of the given diagram, the defined points on the curve are:
(0, 4)(1, 2)As one of the defined points is the y-intercept (0, 4) then:
[tex]\implies a=4[/tex]
Substitute the found value of a and the point (1, 2) into the general form of an exponential function and solve for b:
[tex]\begin{aligned}h(x)=ab^x & \\\implies h(1)=4b^1 & = 2\\4b & = 2\\b & = \dfrac{2}{4}\\b & =\dfrac{1}{2} \end{aligned}[/tex]
Finally, substitute the found values of a and b into the general formula to complete the equation for the function h(x):
[tex]\implies h(x)=4\left(\dfrac{1}{2}\right)^x[/tex]
Learn more about exponential functions:
https://brainly.com/question/27768008
https://brainly.com/question/27955470
https://brainly.com/question/27949445
James can hike f(n) miles after building up n days of stamina subject to a maximum of 10 days. Identify the domain that makes sense in this context.
The domain that makes sense in this context will be (0, 10].
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
James can hike f(n) miles after building up n days of stamina, subject to a maximum of 10 days.
Then the domain that makes sense in this context will be (0, 10].
More about the domain and range link is given below.
https://brainly.com/question/12208715
#SPJ1
Solve the compound inequality for x and identify the graph of its solution.
x+7> 3 and x-5≤-1
OA. Solution: x<-4 or x ≥ 4
++
-5-4-3 -2 -1 0 1 2 3 4 5
OB. Solution: x>-4 and x≤ 4
--
-5-4-3 -2 -1 0 1 2 3 4
OC. Solution: x>-4 and x≤ 4
+
H
-5 -4 -3 -2 -1 0 1
2
4 5
OD. Solution: x2-4 and x < 4
44
-5-4-3 -2 -1 0 1 2 3 4 5
3
5
Answer:
C is the answers for the question
Step-by-step explanation:
please mark me as brainlest
The compound inequality can be expressed as "x > -4 or x ≤ 4."
The correct graph of the solution is:
OC. Solution: x > -4 and x ≤ 4
Let's solve the compound inequality step by step:
x + 7 > 3
Subtract 7 from both sides to isolate x:
x > 3 - 7
x > -4
and, we have,
x - 5 ≤ -1
Add 5 to both sides to isolate x:
x ≤ -1 + 5
x ≤ 4
Now, we have two inequalities for x:
x > -4
x ≤ 4
The compound inequality can be expressed as "x > -4 or x ≤ 4."
The correct graph of the solution is:
OC. Solution: x > -4 and x ≤ 4
The graph will include all values greater than -4 (open circle) and all values less than or equal to 4 (closed circle) on the number line.
The correct representation is:
OC. Solution: x > -4 and x ≤ 4
Graph:
-5 -4 -3 -2 -1 0 1 2 3 4 5
+---|---|---|---|---|---|---|---|---|---+
-4 0 4
The open circle at -4 indicates that x is greater than -4, and the closed circle at 4 indicates that x is less than or equal to 4.
The shaded area between -4 and 4 represents the solution to the compound inequality.
To learn more on inequality click:
https://brainly.com/question/28841069
#SPJ7
20 POINTS!! (will get brainliest)
Answer:
46. 135°
47. 225°
47. 270°
48. 3/8
49. 3/4
Step-by-step explanation:
Answer:
46) 135°
47) 225°
48) 270°
49) [tex]\frac{3}{8}[/tex] (3/8)
50) [tex]\frac{3}{4}[/tex] (3/4)
Step-by-step explanation:
{the following is if you do not understand my drawing}
There are 4 segments that we can imagine - north, south, east, and west
We can imagine that these lines all meet a circle
There are 360 degrees to a circle. So, if we divide that by 4, we know that each segment is 90 degrees.
(Also, you can probably see that the angles are right angles, or you know that straight lines are 180 degrees, you probably know this information intuitively)
This means that each smaller segment, two in both of our four segments, is 45 degrees.
These 8 sections are each 1/8 of the total circle.
What number is exactly between 3.8 and 4.1
The mid-point of the numbers 3.8 and 4.1 will be 3.95.
What is the midpoint of line segment AB?Let C be the mid-point of the A and B.
C = (A + B) / 2
The numbers are given below.
3.8 and 4.1
Then the mid-point of the numbers 3.8 and 4.1 will be
C = (3.8 + 4.1) / 2
C = 7.9 / 2
C = 3.95
More about the midpoint of line segment AB link is given below.
https://brainly.com/question/17410964
#SPJ1
Find the equation of the line which:
passes through (3, 4) and is perpendicular to y=x+2
Answer:
y = -x + 7.
Step-by-step explanation:
General form:-
y = mx + c where m = slope. So:
y = x + 2 has a slope of 1.
The line perpendicular to it has slope -1/1 = -1
To find the required line we use the point-slope form with m = -1, x1 = 3 and y1 = 4.
y - y1 = m(x - x1)
y - 4 = -1(x - 3)
y - 4 = -x + 3
y = -x + 7.
Help please due in a couple minutes:,)
Answer:
The amount of air in a leaky tire.
Step-by-step explanation:
The plot shows a decrease with time (I'll assume the x axis is time).
Which of the answer options would one expect a decrease over time.
A leaky tire? YES
Hair length with soda? NO
Cost of a meal when adding appetizers? NO
Answer:
a. the amount of air in a leaky bicycle tire as time increases.
Step-by-step explanation:
since the scatter plot is descending(y), then we can infer whatever is being recorded is decreasing as time goes on (x)
a. is a great example, as you have a leak in a bicycle tire the air will decrease.
b. does not make any rational sense, since soda does not affect an individual's hair length.
c. does not make sense since the plot is getting smaller over time, therefore adding prices (of said appetisers) makes the cost go up not down.
therefore your answer is a. the amount of air in a leaky bicycle tire as time increases.
hope this helps:)
How do u solve 3/8+1/8-2/7+1/4
Answer:
13/28
Step-by-step explanation:
using pemdas we can determine that the equation is directly solves from left to right
so
first
we have
3/8 + 1/8
which is 4/8
you can simplify this to 1/2
then you have 1/2 - 2/7
you must make them have the same numerator
you can multiple 1/2 by 7/7 and 2/7 by 2/2
7/14 - 4/14 = 3/14
now you must add 3/14 and 1/4
but you to make them have the same numerator
so you multiply 3/14 by 2/2 and 1/4 by 7/7
6/28 + 7/28 = 13/28
that is your final answer
Which expression can be used to find the difference of the polynomials? (10m – 6) – (7m – 4) [10m (–7m)] [(–6) 4] (10m 7m) [(–6) (–4)] [(–10m) (–7m)] (6 4) [10m (–7m)] [6 (–4)]
The expression can be used to find the difference of the polynomials is [10m (–7m)] [(–6) 4]
Difference of polynomials
A polynomial is a function that has a leading degree of 3 and above.
Given the expression below
(10m – 6) – (7m – 4)
Expand
10m - 6 - 7m + 4
Collect the like terms
10m - 7m - 6 + 4
Simplify
3m -2
Hence the expression can be used to find the difference of the polynomials is [10m (–7m)] [(–6) 4]
learn more on difference of polynomial here: https://brainly.com/question/2516456
#SPJ1
Examine the following graphs of two functions. Two functions. One is linear passing thru (1, 2), (3, 4), (6,7) and (8, 9). 2nd function is quadratic passing thru (3, 4), (5, 0), (7, 4) & (8, 9). © 2018 StrongMind. Created using GeoGebra. Which two values of x best represent where the two functions are equal? Enter your answer as two numbers, separated by a comma, like this: 1, 2
The two values of x best represent where the two functions are equal will be (12,11)
What is a graph?
A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
Given data;
Linear function passing through;
(1, 2), (3, 4), (6,7) and (8, 9)
Quadratic function passing through
(3, 4), (5, 0), (7, 4) & (8, 9)
Let x be two values of x best represent where the two functions are equal;
The value of the x is obtained from the graph where the two line meets.
The value of x willl be (12,11)
Hence, the two values of x best represent where the two functions are equal will be (12,11)
To learn more about the graph, refer to the link;
https://brainly.com/question/14375099
#SPJ1
helppppp will give brainliest
Determine whether the relationship is an inverse variation or not. Explain.
a The product xy is not constant, so the relationship is an inverse variation.
b The product xy is constant, so the relationship is not an inverse variation.
c The product xy is constant, so the relationship is an inverse variation.
d The product xy is not constant, so the relationship is not an inverse variation
Answer:
The product xy is constant, so the relationship is an inverse variation.
Step-by-step explanation:
Inverse variation is the mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.
inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases.
Here, the product xy is constant and gives the product as 960.
The relationship is inverse relationship.
Learn more about inverse variation - https://brainly.com/question/2798700
#SPJ10
7. Use the distributive property (and your wits!) to write each of the following expressions as a polynomial in standard form.
(u^7+u^3+1)(u-1)(u^5+u^4+u^3+u^2+u+1)
The simplification form of the provided polynomial is u¹³ + u⁹ -u⁷ + u⁶ - u³ - 1 after using the distributive property.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have an expression:
[tex]= \rm \left(u^7+u^3+1\right)\left(u-1\right)\left(u^5+u^4+u^3+u^2+u+1\right)[/tex]
After using the distributive property and simply it.
[tex]\rm =\left(u^8-u^7+u^4-u^3+u-1\right)\left(u^5+u^4+u^3+u^2+u+1\right)[/tex]
[tex]\rm =u^{13}+u^9-u^7+u^6-u^3-1[/tex]
Thus, the simplification form of the provided polynomial is u¹³ + u⁹ -u⁷ + u⁶ - u³ - 1 after using the distributive property.
Learn more about Polynomial here:
brainly.com/question/17822016
#SPJ1
Find the equation of the line through point (8,−9) and perpendicular to 3+8=4.
The equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.
We are aware that any straight line's equation can be expressed as
y = mx + c,
where m denotes the slope and c denotes a constant.
Also, two perpendicular lines' slopes are the negative reciprocals of one another.
Here, the equation of the given straight line is
3x+8y=4
i.e. 8y = 4 -3x
i.e. y = (4/8) - (3/8)x
Now the negative reciprocal of - 3/8 is 8/3.
Then we can write the equation of the perpendicular line is
y = (8/3)x + c ...(1)
Since (1) passes through the point (8, -9), so we can put x = 8 and y = -9 in (1) to get the value of c.
So, -9 = (8/3)*8 + c
i.e. -9 = 64/3 + c
i.e. c = -9 -64/3 = - (27 + 64)/3 = - 91/3
(1) can be written as
y = (8/3)x - (91/3)
i.e. 3y = 8x - 91
i.e. 8x - 3y = 91
Therefore the equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.
Learn more about perpendicular lines here -
https://brainly.com/question/12209021
#SPJ10
Help me solve please with in depth explanation
3. The table shows information about the times for 100 people to complete a task.
Answer:
kuch bhi hai one kutiya kamini sour hii byyIdentify a pair of overlapping congruent triangles in the
diagram. Then use the given information to write a proof
to show that the triangles are congruent.
Proof
Given: AC = BC, LA = LB
Answer:
overlapping congruent triangles:
ΔACE ≅ ΔBCD
Proof:
given: AC ≅ BC, angle A ≅ angle B
angle ACB ≅ angle BCA by the reflexive property
ΔACE ≅ ΔBCD by the ASA triangle congruence property
Help me solve the inequality: 2x- 3<2x+2 <3x +5
Answer:
[tex]x > - 3[/tex]
I hope this is helpful
4. Which of the following uses the reciprocal property to rewrite
We can actually deduce here the one that uses the reciprocal property to rewrite [tex]\frac{x}{6} = \frac{28}{3\\}[/tex] is: C. [tex]\frac{6}{x} = \frac{3}{28}[/tex].
What is reciprocal?A reciprocal of a number is defined as the number that when it is multiplied by the number, the result is 1. Thus, we deduce here that the product of a number and its reciprocal gives one.
Thus: x/6 x 6/x = 1
Also, if 28/3 x 3/28 = 1
Thus, we see that they use the reciprocal property.
Learn more about reciprocal on https://brainly.com/question/895941
#SPJ1
A rectangular prism has a length of 8 in., a width of 4 in., and a height of 2 1/4 in.
The prism is filled with cubes that have edge lengths of 14 in.
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism,
cubes are needed.
The number of cubes needed to fill the rectangular prism 4608 cubes.
How to find volume of rectangular prism and cube?volume of rectangular prism = lwh
where
l =lengthw = widthh = heightTherefore,
volume of the rectangular prism = 8 × 4 × 9 / 4 = 72 inches³
volume of the cube = l³
where
l = lengthTherefore,
volume = (1 / 4)³
volume of the cube = 1 / 64 inches³
Therefore,
The number of cubes needed to fill the rectangular prism = 72 ÷ 1 / 64
The number of cubes needed to fill the rectangular prism = 72 × 64 = 4608
learn more on volume here;https://brainly.com/question/14996332
#SPJ1
-Find the y-intercept of the line with the equation 2x+y=5.
A. -5
B.
-2
C. 1/2
D. 0
E. 5
Answer:
E. 5
Step-by-step explanation:
Let's rewrite the equation in the form of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
2x + y = 5
y = -2x+5
M, the slope, is -2
5, b, is the y-intercept
See attached graph.
which expressions are equivalent to this exponential expression?
6-10/6-4
A. 6-^6
B. 6^6
C. 1/6^6
D. 1/36
Step-by-step explanation:
Hi There! Let me help you :)
Known
[tex] = \frac{ {6}^{ - 10} }{ {6}^{ - 4} } [/tex]
[tex] \: [/tex]
Asked
Simplify form.
[tex] \: [/tex]
Answer
[tex] = \frac{ {6}^{ - 10} }{ {6}^{ - 4} } [/tex]
[tex] = {6}^{ - 10 - ( - 4)} [/tex]
[tex] = {6}^{ - 6} [/tex]
[tex] = {6}^{ - 6} \: \text{or} \: \frac{1}{ {6}^{6} } [/tex]
There are 2 answers, it's A and C.
A biologist is studying the effects of using a type of bacteria to clear drain pipes. She creates a simulation of a typical kitchen drain system and
uses it regularly for three days before introducing the bacteria. She then carries out her simulation for another 15 days.
The population of bacteria can be approximated using function b, where dis the number of days since she started the experiment and (d) is the
bacteria population in hundreds.
b(d) = √5.2d-15.6 +2
Use this information to complete the statement.
The domain over which the bacteria population Increases is
The domain over which the bacteria population Increases is [tex]d \ge 3[/tex]
How to determine the domain?The function is given as;
[tex]d = \sqrt{5.2d - 15.6} + 2[/tex]
Set the radicand greater than or equal to 0
[tex]5.2d - 15.6 \ge 0[/tex]
Add 15.6 to both sides
[tex]5.2d \ge 15.6[/tex]
Divide both sides by 5.2
[tex]d \ge 3[/tex]
Hence, the domain over which the bacteria population Increases is [tex]d \ge 3[/tex]
Read more about domain at:
https://brainly.com/question/1770447
#SPJ1
Lilly is a pizza driver. Lilly has to make 4 deliveries.
Delivery 1: 35 Minutes
Delivery 2: 14 Minutes
Delivery 3: 18 Minutes
Delivery 4: 27 Minutes
What is the average amount of time it takes to deliver pizza?
Answer:
23 min 30 sec
Step-by-step explanation:
First, you add 35 + 14 + 18 + 27 which is 94.
Next, you divide 94 by the number of deliveries there were. Which is 4.
94/4 = 23.5.
So your answer would be 23 minutes and 30 seconds.
I Hope This Helped :D
Answer:
23.5 minutes or 23 minutes and 30 seconds
Step-by-step explanation:
1. add all the minutes
35 minutes + 14 minutes + 18 minutes+ 27 minutes = 94 minutes
2. Divide the total amount of minutes by the number of deliveries
94 minutes = 23.5 minutes or 23 minutes and 30 seconds
4 deliveries
In the diagram Below
Answer:
∠UTC = 55°∠UCD = 70°∠BCT = 55°Step-by-step explanation:
In this figure of overlapping parallelograms, each angle is related to the others by several different theorems involving triangles, parallelograms, and parallel lines. That is, there are several different ways one can arrive at the answers to this question.
__
UTC∠UTC ≅ ∠UDC = 180° -∠EDU . . . opposite angles of parallelogram; linear pair
∠UTC = 180° -125° = 55°
__
UCD∠UCD ≅ ∠TBC = 180° -∠TBA . . . . corresponding angles; linear pair
∠UCD = 180° -110° = 70°
__
BCT∠BCT ≅ ∠UTC = 55° . . . . alternate interior angles
Need help urgently please
What is the domain of the function y=3 In x graphed below?
Answer:
x>0
Step-by-step explanation:
points exist on the right of the graph so the domain is x>0
The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.
A 2-column table with 6 rows. The first column is labeled prize with entries 1 dollar drink, 5 dollar meal, 5 dollar gift card, 10 dollar gift card, 20 dollar gift card, 100 dollar gift card. The second column is labeled number of prizes with entries 44, 25, 16, 10, 5, 1.
How does the $100 gift card affect the measure of center of the data?
A mean is an arithmetic average of a set of observations.
The correct option is (A).
What is Mean?
A mean is an arithmetic average of a set of observations.
Mean = (Sum of observations)/Number of observations
As, the median is the middle value.
Thus, the median will not be changed.
As, the mean is the arithmetic average.
So, the $100 gift will increase the mean value of the prizes.
Learn more about Mean here:
brainly.com/question/16967035
#SPJ1
Answer:
A
Step-by-step explanation:
Which solid is a Platonic solid?
Please hurry!!!
Answer:
The five Platonic solids (regular polyhedra) are the tetrahedron, cube, octahedron, icosahedron, and dodecahedron. In other words the second one.
An aerospace company's stock closes Tuesday at $144.12. The next day, it gains $5.92. What is the new stock price?
Answer:
150.04
Step-by-step explanation:
144.12
5.92
+ 150.04
