The degree of a polynomial is the highest power of the polynomial.
The polynomial is [tex]\mathbf{P(x) = (x + 3)^4}[/tex]
The degree is given as:
[tex]\mathbf{n = 4}[/tex]
The zero is given as:
[tex]\mathbf{x = -3}[/tex]
Add 3 to both sides
[tex]\mathbf{x + 3= 0}[/tex]
From the question, we understand that the polynomial has a single zero.
So, the polynomial is:
[tex]\mathbf{P(x) = (x + 3)^n}[/tex]
Substitute 4 for n
[tex]\mathbf{P(x) = (x + 3)^4}[/tex]
Hence, the polynomial is [tex]\mathbf{P(x) = (x + 3)^4}[/tex]
Read more about polynomials at:
https://brainly.com/question/11536910
2n + 5 = n - 5
Find the number that n is
And please explain :)
Answer:
-10
Step-by-step explanation:
Tim asked his classmates if they preferred rock music or pop music. The ratio of students who liked pop music to rock music was 3 to 4. If Tim asked 14 classmates, how many like pop music?
Answer:
10.5 people like pop music.
Step-by-step explanation:
3/4 like pop music
3/4 = 0.75
75% of 14 = 0.75x14=10.5
I NEED HELP WITH THIS PLSSS
Answer:
B
Step-by-step explanation:
I'm just hungrey ahhaahhaahhahahahahahahahahahahhahahahahahahahahahhahahahahagahaha
hiiii help??????? Please and thanks
Answer:
welcome❤ though❤ you can be there in the afternoon and you can be there with me
Find the Perimeter of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.
The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. Write the ratios as fractions in simplest form.
Answer:
i need a picture or something man
Step-by-step explanation:
Which word is a synonym of verify?
consent or confirm
Answer:
confirm is the correct answer
Plz mark as Brainliest
• A man observes the angle subtended by a pole to be 30'. He walks 10 metres towards its base and finds that it subtends an angle of 45'. Find the height of the pole.
(A) 12.65 m (B) 13.66 m (C) 15 m (D) 14 m
Answer:
13.66m
Step-by-step explanation:
help pls. i’ll give brainliest
Answer:
last 2 I think
Step-by-step explanation:
okokokokokipullup
2
Solve for :
WIN
(x - 4) = 2x. (1 point)
O
o
Answer:
D. X=-2
Step-by-step explanation:
solve pls brainliest
Which translation will change figure ABCD to figure A'B'C'D'?
Polygon ABCD is drawn in the 4th quadrant of a 6 by 6 grid. Point A is at the ordered pair 4, negative 2, point B is at the ordered pair 6, negative 4, point C is at the ordered pair 2, negative 5, and point D is at the ordered pair 2, negative 3. Polygon A prime B prime C prime and D prime is drawn in the 2nd quadrant. Point A prime is at the ordered pair negative 3, 3, point B prime is at the ordered pair negative 1, 1, point C prime is at the ordered pair negative 5, 0, and point D prime is at the ordered pair negative 5, 2.
7 units left and 6 units up
6 units left and 7 units up
7 units left and 5 units up
5 units left and 7 units up
Answer:
A
Step-by-step explanation: Hope it HELP
Subtract.
3−(−5)−(−2)
Plot the solution on the number line.
Answer:
10
Step-by-step explanation:
Answer: Its 10, so plot it on 10 in the number line
Step-by-step explanation: Since the subtraction signs cancel out, they make a addition sign. Henceforth its " 3+5+2" which would mean the sum is 10.
2. ĐỊNH THỨC
2.1. Giải phương trình:
2 3 1
1 2 4 8 0
1 3 9 27
1 4 14 64
Answer:
Step-by-step explanation:
Uhm the third one number 3
Question 7
Maya, Tom, and Greg sent a total of 153 text messages over their cell phones during the weekend, Greg sent 9 fewer messages than Maya,
Tom sent 4 times as many messages as Greg, How many messages did they each send?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The messages sent by them are ~
Maya = 33 messages Greg = 24 messages Tom = 96 messages[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let the number of messages sent by Maya be x,
messages sent by Greg = x - 9
messages sent by Tom = 4(x - 9)
and, total number of messages sent by them all together is equal to ~ 153
that is ~
[tex]x + x - 9 + 4(x - 9) = 153[/tex][tex]2x - 9 + 4x - 36 = 153[/tex][tex]6x - 45 = 153[/tex][tex]6x = 153 + 45[/tex][tex]6x = 198[/tex][tex]x = 198 \div 6[/tex][tex]x = 3 3[/tex]Hence, the messages sent by them are ~
Maya = x = 33Greg = x - 9 = 33 - 9 = 24Tom = 4(x - 9) = 4 × 24 = 96Let Maya send m
Greg send m-9
Tom sent 4(m-9)
ATQ
m+m-9+4(m-9)=1532m-9+4m-36=1536m-45=1536m=153+456m=198m=33Greg=33-9=24
Tom=4(24)=96
in 4567 which number means ones?
Answer:
7 means ones because it is the units
Step-by-step explanation:
4= thousand
5= hundred
6= tens
7=ones / unit
Simplify the following expression:
За2 + 2а – 2а? - а
Answer:
3a^2
Step-by-step explanation:
2a-2a is equivalent to 0 there by making 3a^2 remaining
12x – 9y = 135. Fully simplify your answer.
Answer:
[tex]x=\frac{3\left(y+15\right)}{4}[/tex]
Step-by-step explanation:
Answer:
I belive the answer is 15! Brainest?
Step-by-step explanation:
In 1950, scientist estimated a certain animal population in a particular geographical area to be 6400 in 2000, the population had risen to 7200. If this animal population experiences the same % increase over the next 50yrs what will be approximate population be?
Answer:
8,100
Step-by-step explanation:
7,200 - 6,400 = 800 increased in 50. Years
What percentage is 800 of 6,400 (%/100 = is/of)
x/100 = 800/6400 (cross multiply)
(800*100)/6400 = 12.50%
(12.50 * 7200)/100 = 900 increased
7,200 + 900 = 8,100
What is an equation of the linethat passes through the points (3,-8) and (1,-2)
Answer:
y=3x+1
Step-by-step explanation:
m= [tex]\frac{-2-(-8)}{1-3} =\frac{-6}{2}[/tex] or -3
-8= -3(3) + b
-8= -9 + b
+9 +9
1=b
Then put in slope intercept form:
y= 3x+1
Hope this helps! :)
A rectangle is drawn so that the width is 1 feet shorter than the length. The area of the rectangle is 72 square feet. Find the length of the rectangle.
Answer:
9 ft
Step-by-step explanation:
Atea = length* width
what two numbers multiply to 72 but are one number apart
9 * 8
9 is the length since the width is given as being shorter.
other numbers can multiply to 72 but they are not one number apart.
Answer:
9ft
Step-by-step explanation:
A property is being appraised by the cost approach. The appraiser estimates that the land is worth $32,000 and the replacement cost of the improvements is $220,000. Total depreciation from all causes is $44,000. What is the indicated value of the property?
Answer: $208,000
Step-by-step explanation:
A line that includes the point (16, 15) has a slope of 0. What is its equation in
slope-intercept form?
9514 1404 393
Answer:
y = 0x + 15
Step-by-step explanation:
A line with a slope of 0 is a horizontal line. It has the same y-value everywhere. If it goes through the point (16, 15) with y-coordinate 15, then its y-intercept is 15.
Writing the slope explicitly, the equation is ...
y = 0x +15
Simplified, the equation is
y = 15
What is James's spendable income this pay period? (use pay stub) *
1 point
$709.74
$1000.00
$797.48
How many unique three-letter sequences can be made from the word COMBINATORICS where no 2 letters can be the same?
Answer:
BIN
TIC
SIT
BIT
MOB
ROT
SIR
BAN
BAM
TAN
RAT
ROB
theres tons of words you can make, just take a few seconds and find as many as you can
Answer:
720
Step-by-step explanation:
the way I read this problem is like a Scrabble set. Start by getting a unique set of letters:
COMBINATRS
10 unique letters
10! / (10-3)!
10! / 7!
720
solve for t 1/4(4t-9) = 1/8(t+9)
Answer:
27/7
Step-by-step explanation:
by calculator..
or you can do these steps
1/4(4t-9)=1/8(t+9) "divided l.h.s and r.h.s by ⅛"
2(4t-9)=t+9.
8t-18=t+9
7t=27
t=27/7
Which statement is true about this argument?
Premises:
If two angles form a linear pair, then they are supplementary.
If two angles are supplementary, then the sum of their measures is 180∘.
Conclusion:
If two angles form a linear pair, then the sum of their measures is 180∘.
A The argument is valid by the law of detachment.
B The argument is valid by the law of syllogism.
C The argument is not valid because the conclusion does not follow from the premises.
D The argument is not valid because the premises are not true.
Answer:
the answer is: The argument is valid by the law of syllogism.
Step-by-step explanation:
thanks for the wrong answer other guy.
NO LINKS!!!!! Please help me.
Absolute Maximum:
f(-3):
Absolute minimum:
Range:
Domain:
Is the graph a function?:
Relative Maximum(s):
Increasing Interval(s):
Decreasing Interval(s):
Relative minimum(s):
THIS IS NOT MULTIPLE CHOICE!!!
Answers:
Absolute maximum: 4f(-3) = -2Absolute minimum: Does not existRange: [tex](-\infty, 4][/tex]Domain: [tex][-4, \infty)[/tex]Is it a function? YesRelative Maximum(s): 2Increasing Interval(s): [tex](-2, 1)[/tex] ... interval notationDecreasing Interval(s): [tex](-\infty, -2) \ \cup \ (1, \infty)[/tex]Relative Minimum(s): -4=====================================================
Explanations:
The absolute maximum occurs at the highest point. Specifically, it's the largest y output possible. In this case, it's y = 4.
----------------
To determine the value of f(-3), we draw a vertical line through -3 on the x axis. Mark where this vertical line crosses the curve. Let's say its point P. From point P, draw a horizontal line until you reach the y axis. You should arrive at y = -2. Therefore, f(-3) = -2.
----------------
The absolute min is similar to the absolute max, but now we're looking at the lowest y output possible. No such y value exists because the curve goes on forever downward.
----------------
The range is the set of all possible y outputs. The range in compound inequality notation is [tex]-\infty < y \le 4[/tex] indicating y can be anything between negative infinity and 4. We can include 4. The range in interval notation is [tex](-\infty, 4][/tex]. Note the use of the square bracket so that we include the 4.
-----------------
The domain is the set of x inputs possible. The smallest such input allowed is x = -4. There is no largest input because the graph goes on forever to the right. The domain is any x value such that [tex]-4 \le x < \infty[/tex] which condenses to the interval notation [tex][-4, \infty)[/tex]
-----------------
This is a function because we cannot draw a single vertical line through more than one point on this curve; hence, this graph passes the vertical line test.
Put another way, any x input in the domain leads to exactly one and only one y output. This is a nonvisual way to prove we have a function.
-----------------
A relative maximum occurs at any peak or mountain region. It is relatively the highest point in the neighborhood/region of points. There's one such mountain peak and it's at (1,2). We can think of this as a vertex of sorts for an upside down parabola. So the relative max is y = 2 because we're only concerned with the y value.
Note: y = 4 is not a relative max because there aren't any points to the left of that endpoint. A relative extrema must have points to the left and right of it for it to be a valid neighborhood.
-----------------
Imagine this curve represents a roller coaster. As we move to the right, going uphill on this curve is an increasing section. That would be the interval from x = -2 to x = 1. So we'd say -2 < x < 1 which condenses to the interval notation (-2, 1). This is not to be confused with ordered pair (x,y) notation.
-----------------
Now we consider when we move downhill when we move to the right. This occurs on the intervals [tex]-\infty < x < -2[/tex] and also [tex]1 < x < \infty[/tex]. We don't include any of the endpoints. This is because at x = -2 and x = 1, the cart is neither moving uphill nor downhill. These locations are stationary resting points so to speak.
Those two inequalities mentioned convert to the interval notations [tex](-\infty, -2)[/tex] and [tex](1, \infty)[/tex] in that order.
Once we determined those separated disjoint regions, we glue them together with the use of the union symbol U.
Our answer for this part would be [tex](-\infty, -2) \ \cup \ (1, \infty)[/tex]. Any point in this collective region will be moving downhill when moving left to right.
-----------------
This is similar to a relative maximum, but this time we're looking at the lowest valley point of a certain neighborhood. This is at (-2,-4). Therefore, the relative min is y = -4.
Can you help me plz.
Answer:
Step-by-step explanation:
pls gimme brainliest if im correct
Answer:
7.77, 7[tex]\frac{4}{9}[/tex], 7.4, 7[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
convert the fractions to decimals
[tex]\frac{4}{9}[/tex] = .44 so 7.44
[tex]\frac{3}{4}[/tex] = .25 so 7.25
7.77, 7.44, 7.40, 7.25
they look to already be in order.
have a lovely day <3
Pa help po plis papasa na daw po bukas
Answer:
b
c
a
Step-by-step explanation:
if wrong sorry
and pls give brainliest