The graph shows the function
f(x) = x4 + 2x3 – 13x2 – 14x + 24. Find the number of
terms.
In the given function number of terms is 5.
What is the number of terms?
Polynomials are algebraic formulas with any number of terms joined by addition or subtraction. A term is a number, a variable, or a product of a number and one or more exponentiated variables. Similar words (variables raised to the same power) can be joined to simplify a polynomial.
Given a function f(x) = x4 + 2x3 – 13x2 – 14x + 24 which has 5 Non-Zero coefficients. Therefore the number of terms is 5 in the given Function.
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hello!!!! :) please help with this math problem! thank u so much!!!! i really appreciate it <3
Answer:
AGREE!
Step-by-step explanation:
"I agree with Lin, she used the correct formula to get this answer"
The distance between the points(-3, -5) and (2,7) on the coordinate plane is given as 5^2+ t^2. what us the value of t
Answer:
Step-by-step explanation:
so we can use [tex]t^{2}[/tex] + 25 as one expression and the find the distance between the points and set the expression equal to that number. That's our strategy.
dist = the square root of [tex]x^{2}[/tex] + [tex]y^{2}[/tex]
where x and y are the change in x2 to x1 and y2 to y1
P1 = ( -3, -5)
P2 = (2, 7 )
dist = square root of ( [2 -(-3) ]^2 + [7-(-5)]2)
dist = sq rt ( 5^2 + 12^2 )
dist = sq rt ( 25 + 144)
dist = sq rt (169)
dist = 13
now set our eq. equal to that number
[tex]t^{2}[/tex] + 25 = 13
[tex]t^{2}[/tex] = -12
this is looking kinda bad, do you know complex numbers?
t = 0 + j 3.46410
hmmm I'm wondering if you've left out .. or forgotten some thing in the question? :/
A student answered 49 problems on a test correctly and received a grade of 98%. How many problems were on the test, if all the problems were worth the same number of points?
Answer:
50 questions.
Step-by-step explanation:
if you divide 100 by 49 you get 2.04 round down, each question is 2 points per question and the student got a 98% then just multiply 49 by 2 just to make sure, then go up. 50 times 2 is 100%, so the answer is 50 questions
A movie theatre charges adults $10 to see a movie and charges children $6. If there wereq 120 people who saw a movue and the theatre collected $928, home many attendees were adults
Answer:
The number of adults tickets sold equals 52.
Step-by-step explanation:
First, we need to establish the system of equations:
x= number of adults tickets sold
y= number of kids tickets sold
10x + 6y= 928
x + y=120
Now, we isolate x in one equation and change it in the other to obtain its value:
x= 120 - y
10(120 - y) + 6y = 928
1,200 - 10y + 6y = 928
272 = 4y
68 = y
x= 120 - 68= 52
Divide. Write the answer as a decimal.
4.705 ÷ 25 =
Answer:
the answer is 0.1882
You make 12 equal payments. You pay a total of $1440. How much is each payment?
Answer:
$120
Step-by-step explanation:
$1,440/12= $120
Hope this helps :)
Answer:
120
Step-by-step explanation:
1440÷12=120..... .........
Read the last stanza from "The Charge of the Light Brigade."
When can their glory fade?
O the wild charge they made!
All the world wonder’d.
Honor the charge they made!
Honor the Light Brigade,
Noble six hundred!
In what way does the last stanza’s short length contribute to the poem’s meaning?
Answer It urges the reader to remember the six hundred
Step-by-step explanation:
Answer:
its D
i got it right
Step-by-step explanation:
Find the equation of the parabola whose vertex is the origin and whose directrix is x = -4
Try this option:
1) if V(0;0) and x= -4, then common view of the required equiation is:
(y-k)²=4p(x-h), where focus is in (h-p;k), the vertex is in (h;k), the directrix is x=h+p, p<0 and y=k is simmetry axis;
2) if the V(0;0), then h=k=0 and the required equiation is:
y²=4px;
3) if the directrix equation is x=h+p, where h=0, then p= -4 (according to the condition the directrix equation is x= -4), then the required equation is:
y²= -16x
answer: y²= -16x
I need help with this problem
A table of x and y values is shown. What is the ratio of y to x in the table?
4 : 1
1 : 4
1 : 7
9 : 1
please help me i really need it!!
Answer:
1:4
Step-by-step explanation:
because the ratio go first
how do i do this i dont know.
[tex]\frac{1}{3}[/tex] yessssss sirr
Evan is building a fort for his pet Bearded Dragon. He uses a total of 300
pieces of tile to build the fort. The ratio of blue tiles to red tiles is 1:2. How
many blue tiles did Evan use to build the fort?*
Answer:
100
Step-by-step explanation:
blue = 1
red = 2
(blue) 100
(red) 200
Can you help with this task please? I don't understand.
Answer:
nota entonces jwbsbsbwhe de un 2
can someone help me? please.
Answer:
A
Step-by-step explanation:
[tex]\frac{3}{11} = 0.2727272727[/tex]
27 is repeating so you draw a line over the number
Answer: 0.27 thats the answer hope you pass your grade
A baseball pitcher won 80% of the games he pitched. If he pitched 35 ballgames, how many games did he win?
Answer:
he won 25 games
Step-by-step explanation:
how many solutions does 9x-18=3(3x-6)have?
Answer:
0
Step-by-step explanation:
9x-18=3(3x-6)
3(3x-6)=9x-18
9x-18=9x-18
9x-9x=0
-18+18=0
Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
9x - 18 = 3 (3x - 6)
The equation 9x - 18 = 3 (3x - 6) has infinitely many solutions.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
Example:
2x + 3 = 5
2 x 1 + 3 = 5
2 + 3 = 5
5 = 5
Where x = 1 is a solution.
We have,
9x - 18 = 3 (3x - 6)
9x - 18 = 9x - 18
Whatever value we put for x we will always get the same in both sides of the equation which means the equation is satisfied.
We see that the equation is equivalent.
This means the equation will have infinitely many solutions.
Thus,
The equation 9x - 18 = 3 (3x - 6) has infinitely many solutions.
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what is 5/12 + 3/5 simplified in fraction form
Answer:
61/60
Step-by-step explanation:
answer:
61 / 60
step-by-step explanation:
first, find the common denominator because in order to add fractions, we need the same denominators5 / 12 + 3 / 5
= 25 / 60 + 36 / 60
= 61 / 60
this cannot be simplified anymore, therefore this is the answerI need help plz and fast
Answer:
1
Step-by-step explanation:
1+19=20
so only 1 visit is available if they only have $20 to use.
Answer:
1
Step-by-step explanation:
19+1=20
This table shows the cost of renting a kayak.
Hours Cost
1. $13
2. $21
3. $29
4. $37
5. $45
The cost of renting a kayak is represented by the equation
y = 8x + 5, where x represents the number of hours. What
does the slope of the equation represent?
9514 1404 393
Answer:
dollars per hour
Step-by-step explanation:
If m is the slope, the units of m can be found by considering the units of x and y.
y is in dollars
x is in hours
Then from the point of view of units, we have ...
dollars = m × hours
m = dollars/hours
The slope in the equation is the rental charge in dollars per hour.
Alex's times for running a mile are Normally distributed with a mean time of
5.28 minutes and a standard deviation of 0.38 seconds. Chris's times for
running a mile are Normally distributed with a mean time of 5.45 seconds
and a standard deviation of 0.2 seconds. Ten of Alex's times and 15 of Chris's
times are Tandomly selected. Let x Overbar Subscript Upper A Baseline
minus x Overbar Subscript Upper C represent the difference in the mean
times for Alex and Chris. Which of the following represents the shape of the
sampling distribution for x Overbar Subscript Upper A Baseline minus x
Overbar Subscript Upper C?
Answer: Alex’s times for running a mile are Normally distributed with a mean time of 5.28 minutes and a standard deviation of 0.38 seconds. Chris’s times for running a mile are Normally distributed with a mean time of 5.45 seconds and a standard deviation of 0.2 seconds. Ten of Alex’s times and 15 of Chris’s times are randomly selected. Let x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C represent the difference in the mean times for Alex and Chris. Which of the following represents the shape of the sampling distribution for x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C?
Normal, because both population distributions are Normal.
Uniform, because the both sample sizes are less than 30.
Skewed right, because the difference in times cannot be negative.
Skewed left, because the sample sizes are less than 30 and the sampling variability is unknown.
Step-by-step explanation: Can someone tell me the answer?
Skewed left, because the sample sizes are less than 30 and the sampling variability is unknown.
Alex’s times for running a mile are Normally distributed with a mean time of 5.28 minutes and a standard deviation of 0.38 seconds.
Chris’s times for running a mile are Normally distributed with a mean time of 5.45 seconds and a standard deviation of 0.2 seconds.
Ten of Alex’s times and 15 of Chris’s times are randomly selected. Let x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C represent the difference in the mean times for Alex and Chris.
What is the standard deviation?The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Normal, because both population distributions are Normal.
Uniform, because both sample sizes are less than 30.
Skewed right, because the difference in times cannot be negative.
Skewed left, because the sample sizes are less than 30 and the sampling variability is unknown.
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In ΔJKL, k = 490 cm, l = 830 cm and ∠J=49°. Find ∠L, to the nearest degree.
Answer:
95
Step-by-step explanation:
At Sundae King, 4 of the last 6 sundaes sold had nuts. Considering this data, how many of
the next 18 sundaes sold would you expect to have nuts?
I need help quick!
Answer:
12
Step-by-step explanation:
4/6=2/3
18(2/3)=12
Answer
12
Step-by-step explanation: 18 can divide into 6 3 times and that means 4 out of each 6 sets of sundaes have nuts so 4 times 3 is 12
what is the slope of the line
Answer: -3/4
Step-by-step explanation:
Carlos has 47 boxes that each have 10 markers. He gives 36 markers away.
How many markers does Carlos have left?
A. 93
B. 110
C. 434
D. 446
E. 506
Use the Law of Cosines to find angle round to the nearest tenth if necessary).
Answer:
Step-by-step explanation:
3a)
find side HP , let's set side HP = c in the law of cosines formula
then
c = sq rt [ 23^2 + 12^2 - 2*12*23*cos(117) ]
c = sq rt [ 529 + 144 - (-250.6027559) ]
c = sq rt [ 673 + 250.6027559 ]
c = sq rt [ 923.602755 ]
c = 30.39
then
HP = 30.4 ( rounded to nearest 10th )
3b)
let PR = c, then law of cosines is (we need angle Q also 180=24+97+Q is 59°
c = sq rt [ 9^2 + 22^2 - 2*9*22*cos(59) ]
c = sq rt [ 81 + 484 -396*0.5150380 ]
c = sq rt [ 565 - 203.955 ]
c = sq rt [ 391.04495]
c = 19.7748
PR = 19.8 ( rounded to nearest 10th )
3c)
they want us to find ∠B, in the formula for cosines ∠B is really ∠C, it's a bit confusing.. I'm sure they did that on purpose to mess people up. Kind of underhanded :/ Tell the teacher that you're "appalled" at the deviousness of the test :/ stage a protest against math that teaches treachery :P storm the principals/ dean's office with paper airplanes and pictures of anime :DDD okay back to math.
a=28
b=17
c=15
since we want angle B then the formula looks like
B= arcCos ( a^2 + c^2 - b^2 / 2*a*c) so we'll avoid messing up the which side is which ... by setting up the formula this way .. got it?
B = arcCos [28^2 + 15^2 - 17^2 / 2*28*15]
B = arcCos[784 + 225 - 289 /840 ]
B = arcCos[720/ 840]
B = arcCos[0.85714285]
B = 31.0027 °
that it came out so close to an integer I'm pretty sure it's right
∠B = 31 .0 ° ( rounded to the nearest 10th )
3d)
find ∠A
set it up carefully again, they are asking us to move the variable around again
a = 18
b= 28
c= 12
then the formula looks like
∠A = arcCos[ b^2 + c^23 - a^2 / 2*b*c ]
∠A = arcCos[28^2 + 12^2 - 18^2 /2*28*12 ]
∠A = arcCos[784 + 144 -324 / 672 ]
∠A = arcCos[604/672]
∠A = arcCos[0.8988095]
∠A =25.99797 °
∠A =26.0 ° ( rounded to nearest 10th)
Solveequation.
a. 5(n – 4) = -60
Answer:
n = -8
Step-by-step explanation:
Answer:
-8
here's the solution
5(n - 4) = -60
5n - 20 = -60
5n = -60+20
5n = -40
n = -40/5
n= -8
hope it helps
Simplify 6i(6 + 3i)
Answer:
6i(9i)
Step-by-step explanation:
Find the indicated measure of angle SPT
Answer:
It would be 100 degrees.
Step-by-step explanation:
Sorry no one answered sooner! Hope i helped!
The speed of sound depends on the type of medium and the temperature of the medium it is traveling through. The speed of sound in dry air at 15° C (59°F) is about 763 miles per hour. Rewrite this number in scientific notation.