First let us know about Polynomial –
The degree of a polynomial is defined as the highest power on a variable in a polynomial.Types of polynomials based on the degree–
[tex]\qquad[/tex] ☀️ Constant polynomial :-
A polynomial having 0 as its degree is known as a constant polynomial.Example : 6 (6x⁰ : degree of x : 0)
[tex]\qquad[/tex]☀️ Quadratic polynomial :-
A polynomial having 2 as its degree is known as a quadratic polynomial.Example : 3x² + 7x + 6 (3x² : degree of x : 2)
[tex]\qquad[/tex]☀️ Cubic polynomial :-
A polynomial having 3 as its degree is known as a cubic polynomial.Example : 5x³ + 3x² + 7x + 6 (5x³ : degree of x : 3)
[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow (1) p(x) = 6x² – 7x + 2 + q(x) = 6x³ – 7x + 15}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 6x² – 7x + 2 + (6x³ – 7x + 15)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 6x² + 6x² – 7x – 7x + 2 + 15[/tex]
[tex]\qquad[/tex][tex]\purple{ \bf \longrightarrow 6x³ + 6x² – 14x + 17}[/tex]
The degree of the polynomial is 3.[tex]\qquad[/tex][tex]\pink{\bf \longrightarrow (2) h(x) = 7x³ – 6x + 1 + f(x) = 7x² + 17x – 9}[/tex]
[tex]\qquad[/tex][tex]\sf \longrightarrow 7x³ – 6x + 1 + (7x² + 17x – 9)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 7x³ + 7x² – 6x + 17x + 1 – 9[/tex]
[tex]\qquad[/tex][tex]\pink{\bf\longrightarrow 7x³ + 7x² + 11x – 8}[/tex]
The degree of the polynomial is 3.1) The degree of the polynomial is 3.
2) The degree of the polynomial is 3.
True or false: In(x+y)- In(x+y)=0. Explain your thinking.
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf ln(x + y) - ln(x + y) [/tex][tex] \sf ln( \frac{x + y}{x + y} ) [/tex][tex] \sf ln(1) [/tex][tex] \sf0[/tex][ Since, ln (1) = 0 ]
Therefore, the statement is true ~
Answer:
In(x+y) - In(x+y)
= In([tex] \frac{x + y}{x + y} [/tex])
= In(1)
=0
Hence, the statement is true!!
Two ships leave a harbor together traveling
on courses that have an angle of 128°
between them. If they each travel 543 miles,
how far apart are they (to the nearest mile)?
A) 976 mi
B) 476 mi
C) 42 mi
D) 1952 mi
Answer:
use cosine law
x^2 = 543^2 + 543^2 - 2(543)(543cos 128°
solve for x
Step-by-step explanation:
Someone help me with this please
Answer: x = 43, ABC = 180 degrees, DBC = 48 Degrees
Step-by-step explanation:
(3(x+1))+(x+5)=180 degrees
4x+8=180
4x=172
x=43
using these we plug in.
ABC = is 3(44) + (48) = 180
DBC = 43+5 = 48
divide 2(1+2)
No calculator, if u use something bad, will happen to u
The answer would be 6.
2x-5y=9 y-3x=-7 solve by substitution
x
=
2
and
y
=
−
1
Explanation:
y
=
3
x
−
7
and
2
x
−
5
y
=
9
Substitute for
y
2
x
−
5
(
3
x
−
7
)
=
9
Simplify
2
x
−
15
x
+
35
=
9
Keep going and get
−
13
x
=
−
26
So
x
=
2
Now find
y
y
=
3
x
−
7
→
3
(
2
)
−
7
y
=
−
1
HEYYYY I NEED HELPPPP AS SOON AS POSSIBLE
The grass in Jamie's yard grew 16 centimeters in 10 days. It was growing at a constant rate.How many days did it take the grass to grow 1 centimeter?How many centimeters did the grass grow in 1 day
Answer:
Step-by-step explanation:
16 cm / 10 days = 1.6 cm/day
10 days / 16 cm = 0.625 days/cm
Y=-1,X+2y=-6 solve by substitution show all work
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
[tex]x+2y=-6[/tex]
[tex]y=-1[/tex]
_________
[tex]x+2\left(-1\right)=-6[/tex]
[tex]x-2\times \:1=-6[/tex]
Multiply: 2*1= 2
[tex]x-2=-6[/tex]
Add 2 to both sides:
[tex]x-2+2=-6+2[/tex]
[tex]x=-4[/tex]
________________
* Hope it helps
* Have a good day!
________________
Answer:
x = -4, y = -1
Step-by-step explanation:
Simple, just plug the Y in
(Pemdas)
x+2(-1) = -6
x-2 = -6
x = -4
-4+2y = -6
2y = -2
y = -1
Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The table shows the function relating the number of pounds of apples, x, and the number of pounds of oranges, y, Lilly could purchase.
Apples (lb) Peaches (lb)
x y
0 10
1 8.75
2 7.5
4 5
6 2.5
8 0
Answer:
Different ways to answer this question
Step-by-step explanation:
You can do a ratio of 1:4 apples and 1:5 oranges
£3 is €4.
Convert £30 to euros.
9c+4=-23 solve for x
Can someone plz help Me?
Answer:
i am pretty sure its C
Step-by-step explanation:
Paula has $3,281 in a savings account that earns 8% interest, compounded annually.
To the nearest cent, how much interest will she earn in 1 year?
(compound interest Formula)
Answer:
$262.48Step-by-step explanation:
Given:
Saving amount P = $3281Interest rate r = 8% or 0.08Compound number n = 1Time t = 1 yearFind the total amount in 1 year:
[tex]I = P(1 + r/n)^{nt}-P[/tex][tex]I = 3281*(1 + 0.08/1)^{1*1} -3281 = 3281*1.08 - 3281= 3281*0.08=262.48[/tex]
This table show the total distance d, in kilometers, a truck traveled after t hours. Which equation shows the relationship between d and t? d = 100t d = t + 300 d = 300t d = t + 100
Answer:
d=100t or d=300t depending on how much the truck travels for an hour because no image was provided i dont know
Step-by-step explanation:
Matthew wants to buy a new pair of jeans. If the jeans were originally $65.00, but are on sale with a 10% discount, how much will Matthew have to pay for the jeans?
10% off means the jeans will sell for 90% of the original price ( 100% - 10% = 90%)
Multiply the original price by 90%
65.00 x 0.90 = 58.50
He will pay $58.50
3480 divided by 29 what is the answer that its asked
Answer:
120
Step-by-step explanation:
To be honest I just looked it up.
A website is selling couches for $864. The site got the couches at a cost of $320. What percentage is the mark-up?
Determine if the two triangles are congruent. State how you know
-GEOMETRY
[tex]\huge \bf༆ Answer ༄[/tex]
The two triangles are congruent by ~
B.) HL congruency criteriaBecause each triangle have a right angle (90°), a pair of equal sides and their hypotenuse are equal as well, because they have a common hypotenuse ~
I hope it helps ~
[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
A furniture maker used 5/6 of a can of paint to paint some chairs. He used 1/6 of a of paint for each chair. How many chairs did he paint? Write your answer as a fraction or as a whole or mixed number.
Answer:
5 chairs
Step-by-step explanation:
then you'd get 5 so the answer is 5.
Just divide 5/6 / 1/6,
Answer:
5
Step-by-step explanation:
This is a question of division, the total quantity of paint used will be the amount of paint needed per chair × the number of chairs;
This is an equation, which can be rearranged to give:
Number of chairs painted = total paint used/paint needed per chair
Total paint used = ⅚
Paint needed per chair = ⅙
Therefore:
Number of chairs painted = (⅚)/(⅙)
Number of chairs painted = ⅚ × 6
Number of chairs painted = 5
Please help with this math problem!! IT'S DUE TONIGHT AT 11:59PM!! NO LINKS PLEASE!! :)
Answer:
[tex]c = \: \: 0 \: \: \: 1 \: \: 2 \: \: 3 \: \: 5 \: \: 7[/tex]
Step-by-step explanation:
check this pls
but im not sure;-)
pa heart and 5 star
if check po
Answer:
[tex]C= -2p+5, \text{where slope is} ~-2.[/tex]
Step by step explanation:
Solve for all values of y in simplest form.
|4 - 5y| = 16
Answer:
[tex]y=-\frac{12}{5}[/tex]
I think this is the correct answer
∠HOA appears to be a right angle.
true or false
Answer:
False!
Step-by-step explanation:
Right angles are 90 degrees, for example EOA appears to be closer to a right angle but not HOA
For what value of x is line a parallel to line b?
Answer:
x = 22
Step-by-step explanation:
4x + 28 = 116 (corresponding angles are equal when two lines are parallel)
4x = 88
x = 22
Corresponding angles must be equal
[tex]\\ \tt\hookrightarrow 4x+28=116[/tex]
[tex]\\ \tt\hookrightarrow 4x=116-28[/tex]
[tex]\\ \tt\hookrightarrow 4x=88[/tex]
[tex]\\ \tt\hookrightarrow x=22[/tex]
The area of the triangle below is 5/12 square feet. What is the length of the base. Express you answer as a fraction.
Answer:
5/3 ft
Step-by-step explanation:
you multiply 5/12 by 2 which is 5/6 then you divide that by 1/2 which gives you 5/3. 5/3 times 1/2 is 5/6. 5/6 divided by 2 is 5/12.
hope the made sense.
HELP PLS!!
Adding and subtracting vectors in component form
===================================================
Explanation:
Problem 1
If we had the two vectors u = <a,b> and v = <c,d>, then adding them gives us
u+v = <a+c,b+d>
The corresponding coordinates pair up and add together.
In this case we have
u = <-3,4>
v = <6,8>
So,
u+v = <-3+6,4+8>
u+v = <3,12>
---------------------
Problem 2
We follow the same idea as the previous problem.
w = <8,-1>
g = <-1,1>
w+g = <8+(-1),-1+1>
w+g = <7,0>
---------------------
Problem 3
Similar to addition, subtracting vectors has us subtract the corresponding coordinates.
The general template is:
u = <a,b>
v = <c,d>
u-v = <a-c,b-d>
With this in mind, we can say the following:
g = <-1,1>
z = <-3,-3>
g-z = <-1-(-3),1-(-3)>
g-z = <-1+3,1+3>
g-z = <2,4>
---------------------
Problem 4
Follow the same idea as problem 3 above.
v = <6,8>
u = <-3,4>
v-u = <6-(-3),8-4>
v-u = <6+3,8-4>
v-u = <9,4>
---------------------
Problem 5
Refer to problem 1.
y = <1,1>
v = <6,8>
y+v = <1+6,1+8>
y+v = <7,9>
---------------------
Problem 6
u = <-3,4>
h = v+y = y+v = <7,9>
u+v+y = u + h
u+v+y = <-3,4> + <7,9>
u+v+y = <-3+7,4+9>
u+v+y = <4,13>
Notice how I built off the result of problem 5 when I used h = v+y. The vector v+y is the same as y+v because the order of addition doesn't matter. Also, the idea mentioned in problem 1 can be extended for more than two vectors.
Comparing Theater Sales
I need help A.S.A.P!!!
Step-by-step explanation:
oh come on ! you can see that with common sense : it is 2)
while the data itself is the same, but in figure B it is kind of suggested that "Super Cinema" had twice the sales of "Bud's Movies". which is not the case at all.
and that is one of the problems, when you don't show the whole data range (which happens when you don't start the data range at the actual beginning - like 0 in this case).
as I keep saying : never trust a statistic you have not falsified yourself ...
Hey can u help me plsss I really need help don’t just press for points.
how do we hel you , ca we get a description
pls help i really dont understand this
Answer:
Slope: -1
y intercept: -3
equation: y=-1x-3
Step-by-step explanation:
The y intercept is when x is zero.
True or false 6 to the 3 power = 216
Answer:
True
Step-by-step explanation:
6^3, or 6x6x6, is equal to 216.
---
hope it helps
Answer:
true
Step-by-step explanation:
The value of y varies directly with x.
When y=3, x=1.
What is the value of y when x is 4?
12
3/4
4 1/3
8
Answer:
12
Step-by-step explanation:
x = 1 y = 3, x = 2 y = 6, x = 3 y = 9, x = 4 y = 12
Answer:
12
Step-by-step explanation:
if x=1 , y =3
if x=4 then y=3×4=12
y=12