9514 1404 393
Answer:
p(x) = 3(x -2)^4(x +2) . . . in factored form
p(x) = 3x^5 -18x^4 +24x^3 +48x^2 -144x +96 . . . in standard form
Step-by-step explanation:
When a polynomial has a zero at x=p, it has a factor of (x -p). The exponent of the factor is the multiplicity of the zero. The product of factors can be multiplied by 3 to make the leading coefficient be 3.
p(x) = 3(x -2)^4(x -(-2))
= 3(x^4 +4(-2)x^3 +6(-2)^2x^2 +4(-2)^3x +(-2)^4)·(x +2)
= 3(x^4 -8x^3 +24x^2 -32x +16)(x +2)
= 3(x^5 -6x^4 +8x^3 +16x^2 -48x +32)
p(x) = 3x^5 -18x^4 +24x^3 +48x^2 -144x +96
Julie bought 4,649 lemons to make lemonade for a birthday party if this number is rounded to the nearest hundred about how many lemons did Julie bought ?
I need the solving too please
50 tickets need sold but only 9 have been sold what percent have been sold?
Answer:
18%
Step-by-step explanation:
an example of an abelian group which is not cyclic
G=Z6×Z2G=Z6×Z2 will do (where ZnZn denotes the cyclic group of order nn). As a direct product of cyclic (so abelian) groups, GG is again abelian. Given any element (x,y)∈G(x,y)∈G, the order of (x,y)(x,y) will be the least common multiple of the orders of x,y.x,y.
The order of xx must divide 66 and the order of yy must divide 2,2, so the order of (x,y)(x,y) is at most lcm(6,2)=6.lcm(6,2)=6. But |G|=|Z6|⋅|Z2|=6⋅2=12.|G|=|Z6|⋅|Z2|=6⋅2=12. Since no element of GG has order 12,12, then GG is not cyclic.
Given f(x) = 9-3x and g(x) = - 6x + 3, find (f + g)(x).
Answer:4
Step-by-step explanation:
Please answer #1 hurry!!! Will give brainliest
Answer:
1a) O is the steepest
1b) because it is more angled
1c) all lines are positive
Step-by-step explanation:
1a) plot the coordinates on the graph and find the steepest
Answer:
1a) O) y = 5x
1b) The slope value is greater than M and N
1c) They all meet on the point of (0,0) because there is no b value and are all positive slopes.
1/4×10/12 simplest form
Answer:
10/48 - 2/24 - 1/12
Step-by-step explanation:
answer is 1/12
HELP LAST ATTEMPT ??!!
Answer:
x=26
Step-by-step explanation:
x+11+2x+1+90=180 [Angles in a straight line]
3x=180-102
x=78/3
x=26
or,
x+11+2x+1=90 [Complementary angles]
3x=90-12
x=78/3
x=26
Multiply 3hrs 30mins by 4
Answer:
14 hours
Step-by-step explanation:
PLEASE HELP ITS MATH THANK YOUUUU
When converted to a household measurement, 9 kilograms is approximately equal to a
Answer:
D) 19.8 lbs
Explanation:
1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.
1kg is also equal to 2.205 lbs. 9*2.205=19.8416
9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system
a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
This leaves us with 19.8 lbs
Find the Area of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place
Hi,
Recall that the area of a parallelogram is the product of the base b and the height or "altitude" h. So the formula is : b * h. b = 20 here, and h = 6, so we get : 20 * 6 = 120.
Now we have to compute the area of the semicircle, remember the formula for the area of a circle is : πr² where r is the radius of the circle. If we watch the figure, we already have the value of the diameter d = 8. So the radius is equal to half the diameter : r = 8 /2 = 4
Now applying the formula we get : πr² = π * 4² ≈ 50.3 rounded to the nearest tenth place.
But we don't wont the area of the circle, we want half the area of it, since it's a semicircle : πr² / 2 ≈ 25.1 rounded to the nearest tenth place.
Now to get the whole area of the figure, we need to sum the area of the parallelogram with the area of the semicircle : 120 + 25.1 ≈ 145.1 rounded to the nearest tenth place.
Good Luck
If the interest earned is $96.00 at a rate of 4% for 6 years, how much principal was invested? step by step equation please
plot 1 1/2 and its opposite on the number line
Answer:
the opposite of 1 1/2(1.5) is -1 1/2(-1.5)
Step-by-step explanation:
Last month, when Joe took his puppy to the veterinarian, the puppy weighed 6.7 pounds. This month, the puppy weighed 10.05 pounds. What is the percentage increase of the weight of the puppy?
Answer:
50%
Step-by-step explanation:
.21 is what percent of $3.50
Answer:
6%
To find 6 percent of a number, multiply the number by 0.06. In this instance, 3.5 x 0.06 = 0.21, or twenty-one hundredths.
Step-by-step explanation:
Answer:
0.21 / 3.50 × 100%
= 21/350 × 100%
= 3/50×100%
= 3×2%
=6%
Step-by-step explanation:
brainliest plz
Solve the equation for X x - 5 = 12
Answer:
X= 17
Step-by-step explanation:17-5 = 12 (Just add 12 and 5 for answer)
Answer: x=17
Add 5 on both sides
x-5+5=12+5
x=17
Step-by-step explanation: Hope this helps!
If you are having a tough time with math you can use:
khanacademy,
mathnation,
and many other free sources
Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, how much take-home pay did Adjoa earn this past month?
Adjoa's got 4265.46 Ghc as his take home pay for the past month.
The question gave us his gross salary, which means everything he earned. At the same time, giving us a particular number as deduction. To calculate the net salary, all we have to do is to subtract the deduction from the gross salary, And thus;
4687.24 - 421.78 = 4265.46 Ghc
to learn more, see here https://brainly.com/question/16688602
Which equation describes the sum of the vectors plotted below?
6
A. r 38 27
B. 2x+y
C. r 38 1 27
O Dr 3x Ý
Answer: [tex]A) \ 3\vec{x} -2\vec{y}[/tex]
Step-by-step explanation:
The resultant can be calculated using triangular law of vector addition as :
[tex]\rm \vec{r}=\vec{AB} +\vec{AC}=2x+y+x-3y=\boxed{3x-2y }[/tex]
Entrance to a state park costs $6 per vehicle, plus $2 per person in the vehicle the cost for a bus with 50 people?
Answer:
$106
Step-by-step explanation:
So, this is what we know:
$6 per vehicle (1 bus) + $2 per person (50 people)
Here is the solution:
= $6 + $100
= $106
5n + 1/8 = 3n-5/4
Solve for n
Answer:
[tex]n=-\frac{11}{16}[/tex]
Step-by-step explanation:
[tex]5n+\frac{1}{8}=3n-\frac{5}{4}[/tex]
[tex]5n-3n=-\frac{5}{4}-\frac{1}{8}[/tex]
[tex]2n=-\frac{11}{8}[/tex]
[tex]n=-\frac{11}{16}[/tex]
The hourly rate for a lecturer is £17.50. She works 35 hours a week and 8 hours overtime at time-and-a-half. What is her total pay for the week?
What is the y-intercept of the line y =
= {x-5
-5?
[tex]\large y=\dfrac{1}{2} x-{\boldsymbol5}^{\sf /y -intersept} \\\\ \rm Answer : B)-5[/tex]
Find the area of the circle.
Step- by - Step Explanation:
Area of a circle=πr²
=3.14...×6²
=113.0973355292325
Approximately ≈113.1cm²
Please mark BRAINLIEST if I'm right.
A true/false test has 20 questions on it. What is the probability that you get at least 18 right by purely guessing?
Answer:
I would say if your lucky 6/20 but if not 4/10
I have more question then this one
Answer:
option b
Step-by-step explanation:
have a great day
HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
cuál de los siguientes documentos es más Útil para construir carretera
You give an 18% tip for a meal. What expression represents the total cost with tip?
Answer:
multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.
Step-by-step explanation:
Pls help I’ll brainlest and add extra points
In a circle L, M, N are the points on the circle forming a triangle with LM = LN and mZMLN is 35' then what is m(arc LN)?
Answer:
145°Step-by-step explanation:
ΔLMN is isosceles with angle L being 35°.
Angle measure of M and N is same:
m∠M = m∠N = 1/2(180 - 35) = 72.5Arc measure is twice the intercepting angle, since the angle is not central:
mLN = 2*72.5 = 145someone please help with this question for brainliest !!!!:)
Answer:
11
0
1
30 ...........
.....