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
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
Find the Perimeter of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.
2n + 5 = n - 5
Find the number that n is
And please explain :)
Answer:
-10
Step-by-step explanation:
solve pls brainliest
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
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
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 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:
help pls. i’ll give brainliest
Answer:
last 2 I think
Step-by-step explanation:
okokokokokipullup
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
Pa help po plis papasa na daw po bukas
Answer:
b
c
a
Step-by-step explanation:
if wrong sorry
and pls give brainliest
What is James's spendable income this pay period? (use pay stub) *
1 point
$709.74
$1000.00
$797.48
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.
hiiii help??????? Please and thanks
Answer:
welcome❤ though❤ you can be there in the afternoon and you can be there with me
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
2
Solve for :
WIN
(x - 4) = 2x. (1 point)
O
o
Answer:
D. X=-2
Step-by-step explanation:
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:
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! :)
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.
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
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
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
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:
• 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:
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
Which word is a synonym of verify?
consent or confirm
Answer:
confirm is the correct answer
Plz mark as Brainliest
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
I NEED HELP WITH THIS PLSSS
Answer:
B
Step-by-step explanation:
I'm just hungrey ahhaahhaahhahahahahahahahahahahhahahahahahahahahahhahahahahagahaha
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
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.