Answer:
A least degree polynomial, having rational coefficients and a leading coefficient of 2, with,-4, 0, 2, and 4 as the zeros of the polynomial is;
f(x) = 2·x⁴ - 4·x³ - 32·x² + 64·x
Step-by-step explanation:
The given parameters of the polynomial are;
The leading coefficient of the polynomial = 2
The zeros of the polynomial = -4, 0, 2, 4
We note that zeros of -4, and 4 gives a factor of the form, (x² - 4²)
For a zero of the polynomial equal to 0, one of the factors of the polynomial is equal to 'x'
To have a leading coefficient of 2, we can add '2' as a factor of the polynomial
Therefore, we can have the factors of the polynomial as follows;
(x² - 4²)·2·x×(x - 2) = 0
From the above equation, using a graphing calculator, we get the following possible polynomial;
(x² - 4²)·2·x×(x - 2) = 2·x⁴ - 4·x³ - 32·x² + 64·x = 0
Therefore, a polynomial, function of least degree that has rational coefficients, a leading coefficient of 2,and the zeros, -4, 0, 2, and 4 is f(x) = 2·x⁴ - 4·x³ - 32·x² + 64·x.
Tyler orders a meal that was $15
If the tax rate is 6.6%, how much will the sales tax be on Tyler’s meal?
Answer:
His total will be $15.99, so the sales tax is $0.99
Step-by-step explanation:
15 increase 6.6% =
15 × (1 + 6.6%) = 15 × (1 + 0.066) = 15.99
help me -30=5(x+1)−30=5(x+1) x=
Answer:
X=-7
Step-by-step explanation:
Divide then subtract to get x by itself
-30=5(x+1)
Divide each side by 5= -30/5=5(x+1)/5
-30=x+1
-6=x+1
-6-1=x+1-1 Subtract one to get x by itself
-6-1=x+1-1 (cross out both x's.
-6-1=x
Hope this helped
A metal cube has a volume of 27 cm'. It is painted on all its faces. Find the total area of
the faces that are coated with paint.
Answer:
Area = 54 cm
Step-by-step explanation:
Using the formulas
A=6a2
V=a3
Solving forA
A=6V⅔=6·27⅔≈54
What is the answer to (1/2)x-1-4
Answer: X = 2
Step-by-step explanation:
Please help me with this! I will mark as brainliest!!!
pid 2. The perimeter of triangle GHI is 40 cm. If both triangles are similar, then what is the length of JT. 15 cm 15 cm Wool 10 cm G
Write your answer below:
a pair of boots and a pair of tennis shoes cost 196.12 the different in there cost is 44.38. determine the cost of each pair of footwear
Answer:
441.9 / 441.9107706
Step-by-step explanation:
441 2021/2219
Which equation is graphed?
990*500/600+51-100+10
What is the answer
Answer:786?
Step-by-step explanation:
Answer: if that is supposed to be a multiplication sign its 786
Step-by-step explanation:
NEED HELP ASAP! ill give brainliest
Answer: (0,3) 2. no
Step-by-step explanation:
PLEASE HELP
James had a collection of 500 Matchbox cars at the beginning of the summer.
After the summer, James had traded some of his Matchbox cars and now he has only 485 Matchbox cars.
What is the percent decrease of his Matchbox car collection?
Parallelograms (5x+4). 59
Answer:
59 = (5x + 4)
x = 11
Step-by-step explanation:
59 = (5x + 4)
5x + 4 = 59
5x = 59 - 4
5x = 55
x = 55/5
x = 11
Hector spent $40.75 for 2 DVDs that cost the same amount. The sales tax on his purchase was $4.15. Hector also used a coupon for $1.00 off his purchase. How much did each DVD cost?
Answer:
36.75 + 1 = 37.75 - 2.15 = 35.60/2 = 17.80
In ΔPQR, r = 4.9 cm, ∠R=21° and ∠P=104°. Find the length of p, to the nearest 10th of a centimeter.
Answer:
Step-by-step explanation:
The answer is the length of p, to the nearest 10th of a centimeter is 13.3 cm .
What is the law of sines ?
he Law of Sines (or Sine Rule) is very useful for solving triangles.
According to the law ,
When we divide side a by the sine of angle A
it is equal to side b divided by the sine of angle B
and also equal to side c divided by the sine of angle C
[tex]\rm \dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}[/tex]
It is given that in Δ PQR
r = 4.9 cm
angle R = 21
angle P =104
Length of p needs to be found
Therefore by using above equation
[tex]\rm \dfrac{r}{sinR} = \dfrac{p}{sinP}[/tex]
[tex]\rm \dfrac{4.9}{sin21^{0}} = \dfrac{p}{sin104^{0}}[/tex]
p= 13.3 cm
Therefore the length of p, to the nearest 10th of a centimeter is 13.3 cm .
To know more about law of sines
https://brainly.com/question/17289163
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3(y+2)=30 one solution
how can you tell that the slope of the line through (2,2) and (-3,5) is negative without calculating
Twinkle Twinkle little star, take the points for yourself.
If you are too happy can you make me
Please answer this question for me.
____________ Its fine if you don't answer, just take the points and have a great day!!
What is the sum of the greatest and least numbers below:
Answer:
1/6
Step-by-step explanation:
Step 1: Make remaining mixed numbers improper fractions:
8 1/5 = ((8*5)+1)/5 = 41/5
-8 2/5 = -((8*5)+2)/5 = -42/5
Step 2: Order fractions from least to greatest:
-26/3 <- Least
-42/5
-54/7
41/5
53/6 <- Greatest
Step 3: Find the sum of the least and greatest fractions:
Given: -26/3+53/6
Make equivalent fractions: -52/6+53/6
Rearrange: 53/6-52/6
Evaluate: (53-52)/6 = 1/6
Therefore, the sum of the greatest and least numbers is 1/6
answer it plz it ain't hard so
Answer:
(4,5)
Step-by-step explanation:
If it's not hard then why do you need help????
Answer:
C). (4,5)
Step-by-step explanation:
Basically crawl before you walk, x axis then y axis.
−2x=x^2 minus 6,
Rewrite the equation by completing the square. please answer
Answer:
[tex](x+1)^{2} -5[/tex]
Step-by-step explanation:
[tex]-2x=x^{2} -6 \\x^{2} +2x-6\\(\frac{b}{2}) ^{2} =(\frac{2}{2}) ^{2} =1^{2} =1\\so, (x^{2} +2x+1)-6+1\\ x^{2} +2x+1=(x+1)^{2} \\-6+1=5\\(x+1)^{2} -5[/tex]
Sorry it took so long
Please Help me!
If the sales-tax rate is 8%, how much will the total cost of a purchase of $200 be?
Answer:216
Step-by-step explanation:
because 200 times 8 percent = 16 so then you add 16 too 200 and get 216.
{y=2x
{x=-y+6
please help i have a 27 in this class please help
Answer:
x = 2
Step-by-step explanation:
y=2x so
x=-2x+6
add 2x to both sides
3x=6
divide both sides by 3
x=2
solve system by elimination
6.
2x + 5y = 14
4x + 2 y = -4
Answer:
x=−3 and y=4
Step-by-step explanation:
Multiply the first equation by -2,and multiply the second equation by 1.
−2(2x+5y=14)
1(4x+2y=−4)
Becomes:
−4x−10y=−28
4x+2y=−4
Add these equations to eliminate x:
−8y=−32
Then solve−8y=−32for y:
−8y=−32
−8y
−8
=
−32
−8
(Divide both sides by -8)
y=4
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
2x+5y=14
Substitute4foryin2x+5y=14:
2x+(5)(4)=14
2x+20=14(Simplify both sides of the equation)
2x+20+−20=14+−20(Add -20 to both sides)
2x=−6
2x
2
=
−6
2
(Divide both sides by 2)
x=−3
Which best describes a standard thermometer...
EXPLAIN
Rational
Real Number
Whole Number
Integer
Answer:
inteager
Step-by-step explanation:
temperature can express both positive and negative
i need help w/ math due asap plzz
Answer:
The answer is D
Step-by-step explanation:
You multiply by 2 19 x 2 = 38 38 x 2 = 76 76 x 2 = 152
then 152 x 2 = D 304
which real-world story is represented by the addition problem (- 2 1/2) + (- 3 1/4) = -5 3/4?
Answer:
come to instgram i will help u
thegoodboy__._
plz help The link under is the question I need help today
Answer:
the fourth one: 36.25
Step-by-step explanation:
the 3 in 20.342 is in the tenths place.
0.3*100=30
the three in 36.25 is in the tens place
In EFG, EG is extended through point G to point H, m< EFG (2x+1),
m
Answer:
1
Step-by-step explanation:
Answer:x+19=(6)+19=25
Step-by-step explanation:
topic:maths - algebra pls help ! :-(
Answer:
24
Step-by-step explanation:
Answer:24
Step-by-step explanation:
9(4) + 4(-3)
36 + -12
36 - 12 = 24
whats the slope of the line and whats in on the graph?
Answer:
-1 is the slope
Step-by-step explanation:
The rise is up 1 and the run is sideways 1.
Hope it helps!
✨✨Easy points for those who are good at math✨✨
Answer:
The answer is c
Step-by-step explanation: