Hi, can someone help with these two questions ASAP! (Ignore the multiple choice I circled, not sure if it’s correct)
Thanks!!
Answers
Answer:
1) D. [tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]
2) E. The coefficient of [tex]x[/tex] is -16.
Step-by-step explanation:
1) A polynomial is an algebraic expression of the form [tex]p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}[/tex], where [tex]n[/tex] is the grade of the polynomial. In this case, the only equation that satisfies this definition is:
[tex]y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10[/tex]
Correct answer: D
2) Let [tex]p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4)[/tex], we proceed to expand the expression by algebraic means:
[tex]p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)[/tex]
[tex]p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4[/tex]
We see that coefficients for [tex]x^{2}[/tex] and [tex]x[/tex] are -16 and 0, respectively. Hence, the incorrect answer is E.
Related Questions
What is the domain and range topic is (parabola)
Answers
Step-by-step explanation:
domain is all real positive numbers. x> 0
range is y>= -1
Where will the two lines intersect? y=2x+1 and y=-2x+5
Answers
Answer:
(1, 3)
Step-by-step explanation:
please help! i'll give brainliest! no one would help me PLEASE.
Answers
Answer:
m∠ABC = 42°
Step-by-step explanation:
5x + 13 + 3x + 33 = 70
8x + 46 = 70
8x = 24
x = 3
m∠ABC = 3(3) + 33 = 42
What is the Radius of a circle with an area of 115
Answers
6.05
Step-by-step explanation:
r=squareroot a/π= square root 115/π = 6.05
Lucy's dog lost 6 pound How much weight does her dog need to gain in order to a net change of 0 pounds? _pounds?
Answers
Answer:
I think 6 pound. Beacuse 6-6=0
NEED ASAP Which line is parallel to the line y=4x-2?
Answers
Answer:
y = 4x + 1
Step-by-step explanation:
Given the equation y = 4x - 2, we need to find the equation parallel to this line. Note that for two equations to be parallel to each other, the must have the same slope
Standard form of an equation is y = mx + b
Compare;
mx = 4x
m = 4
Since the slope of the given equation is 4, the required equation must also have a slope of 4
Since we are not given an option, we can assume any equation with a slope of 4
y = 4x + 1 will be parallel to the given equation since they both have the same slope
Note that the equation can be different so far they have the slope of 4
What is the residual of a customer with a height of 155 cm who rents a bike with a 51 cm frame?
cm
Answers
Answer:
Step-by-step explanation:
What is the residual of a customer with a height of 155 cm who rents a bike with a 51 cm frame?
cm
Answer:
Step-by-step explanation:
-1
The radius of a cylindrical construction pipe is 2 ft. If the pipe is 17 ft long, what is its volume?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Answers
Answer:
[tex]volume \: = \: \pi \times r {}^{2} \times length(height) \\ = 3.14 \times 2f \times 17ft \\ = 106.76ft {}^{3} [/tex]
Answer:
V = 106.76ft
Step-by-step explanation:
Cylinder Formulas in terms of r and h
Calculate the volume of a cylinder: V = πr2hCalculate the lateral surface area of a cylinder (just the curved outside)**: L = 2πrhCalculate the top and bottom surface area of a cylinder (2 circles): T = B = πr2Total surface area of a closed cylinder is: A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)The area of a rectangular patio is 3x2 + 17x + 20 ft
Which of the following could be dimensions of the patio?
O A. X+ 5 ft by 3x + 4 ft
B. 3x + 5 ft by x + 4 ft
O
C. X + 5 ft by x + 4 ft
O D. 3x + 5 ft by 3x + 4 ft
Answers
Answer:
a
Step-by-step explanation:
Find the equation of the line that passes through (5, 12) and has a slope of -6
Answers
y = -6x + 42
HELP!
Eric bought 16 ounces of coffee beans for
$14.40. At this rate, how much would 11 ounces
of coffee beans cost?
Answers
Answer:
11 ounces cost 9.90$.
Step-by-step explanation:
Each ounce cost .90 cents.
Hope this helped!
can anyone help with this??
Answers
Answer:
y=x+6
Step-by-step explanation:
the co-ordinate points are (-2,4)and (4,10) so y2-y1
x2-x1
10-4 =6
4-2 =6 which will be 1 as the gradient so you will form an equation
y-10 =1 cross multiply the values with one so the answer will be y-10=x-4
x-4
take -10 to the other side it will be y=x-4+10 hence y= x+6
could someone give me answers for these three? no wrong answer or spam or link
Answers
Answer:
Equation: 2x + 13 = 5x - 20
x = 11
<FDG = 35
Step-by-step explanation:
These are vertical angles so they're equal to each other:
2x + 13 = 5x - 20
2x - 5x = -20 - 13
-3x = -33
x = 11
<FDG:
5x - 20
5(11) - 20
55 - 20
35
Please help I'll mark brainliest
Answers
Answer:
y= 3x +2
Step-by-step explanation:
-10x-30y = 6
-30y = 10x +6
y = -1/3x - 1/5
m = -1/3 perpendicular slope would be 3
2x+9y = 18
2(0) +9y = 18
y = 2 = y intercept
y = 3x +2
22 and 21 please help no links or i report
Answers
Answer:
21) B. (5,45)
22) B. As the temperature decreases, hot chocolate sales increase.
how do you solve for x
the similarity statement is abc~ xyz
Answers
Answer:
m<X= 36.87 degrees
Step-by-step explanation:
Since the triangle abc and xyz are similar, hence;
m<C = m<Y
90 = x - 5
Add 5 to both sides
90+5 = x-5+5
95 = x
Swap
x = 95
m<Y = x - 5
m<Y = 95 - 5
m<Y = 90
Find m<X
Using the SOH CAH TOA
Opposite to m<X = YZ = 6
Adjacent = 8
Tan M<X = opp/adj
Tan m<X = 6/8
m<X = arctan(6/8)
m<X= 36.87 degrees
Find the output y when the input x is -5
y=?
Answers
Answer: y=7
Step-by-step explanation: looking at the graph when x is -5 y= 7
A storage shed with a flat roof is 12 feet long by 9 feet wide by 4 1/2 feet tall.
How many cubic feet of storage space does the shed enclose?
Answers
Answer:
To get the volume of the shed in yards, multiply 4*3*2.5=30
since one cubic yard is equal to 27 cubic feets, multiply 27 with 30 to get the volume in cubic feets 27*30=810
Step-by-step explanation:
help m.e please please
Answers
Answer:
(-3, -4)
Step-by-step explanation:
The solution is where the two lines intersect. Therefore, the x-coordinate is -3, and the y-coordinate is -4.
Another way to solve this would be to set the to equations equal to each other, so 2x+2 = -4. Therefore, 2x = -6, and x = -3. And from the second equation, y = -4.
PLS HELP
A jewelry company purchases a necklace for $24. If they mark it up 36% to sell it at their store, what is the selling price of the necklace? (If necessary, round to the hundredths)
Answers
Answer:
I believe the answer would be 32.64
Step-by-step explanation:
$24 x 36% = 8.64
8.64 + 24 = $32.64
Joshua and Crystal opened
savings accounts on the same
day, each with an initial deposit
of $100.00. After two months,
Joshua's account shows a
balance of $67.25 and Crystal's
account shows a balance of
$131.97. Which account balance
changed by the greatest
amount? Why?
I
8
I’m stuck what is the answer?
Answers
Answer:
Joshua's account had a greater change.
Step-by-step explanation:
Both accounts had $100
Joshua's account now has $67.25 which means he used $32.75
Crystal's account now has $131.97 which means he saved $31.97.
Joshua had a greater change of balance.
Use the ALEKS calculator to write as a percentage.
5/17
Round your answer to the nearest tenth of a percent.
Answers
Answer:
The answer is 29.4%
Step-by-step explanation:
The given is to be rounded to the nearest tenth percent so
5/17 = 0.294
0.294 * 100 = 29.4% since nearest tenth percent
The required answer is 29.4%
Given fraction is 5/17.
Percentage is a way of expressing a fraction or proportion as a portion of 100. It is a mathematical concept used to represent relative quantities or values in terms of hundredths. The word "percent" is derived from the Latin words "per centum," which mean "per hundred." It is denoted by the symbol "%".
To convert a fraction to a percentage, and multiply the fraction by 100.
Let a and b be the rel numbers. To convert the fraction a/b into percentage by multiply the fraction by 100.
That is , a/b x 100.
And on simplification gives the fractions.
To convert 5/17 to a percentage, we have:
(5/17) x 100 = 29.4117647...
Rounding this to the nearest tenth of a percent, we get:
29.4%
Therefore, when rounded to the nearest tenth of a percent, 5/17 is approximately 29.4%.
Learn more about converting fractions to percentages, click here:
https://brainly.com/question/25395
#SPJ6
What is the answer for, A metal bar 8.15 ounces 93% of the bar is sliver. How many ounces of silver are in the bar? ( round to the nearest thousandth)?
Answers
Answer:
7.580 ounces
Step-by-step explanation:
The question is asking how many ounces of silver are in the bar. We know that 93% of the bar is silver. The bar is 8.15 ounces. This means we need to find 93% of 8.15. Let's set up an equation.
93% of 8.15
93/100 • 8.15
0.93 • 8.15
= 7.5795
Round to the nearest thousandth.
7.580 ounces
Hope this helps!
29 thanks and no links or you get reported
Answers
Answer:
$480.11 (C)
Step-by-step explanation:
$575.26 - $95.15 = $480.11
Help me plz !!!!! ):$$:):!:!!::
Answers
Answer:
9x - 13 = y
Step-by-step explanation:
big brain
Suppose the TRMS basketball team scored 78 points by 2-point and 3-point baskets only. If 35 total baskets were made, how many 2-point and 3-point baskets were scored?
Answers
Answer:
the number of 2 point and number of 3 point be 27 and 8 respectively
Step-by-step explanation:
Let us assume the number of 2 point be x
And, the number of 3 point be y
Now according to the question
2x + 3y = 78
x + y = 35
Multiply by 2 in equation (2)
2x + 3y = 78
2x + 2y = 70
y = 8
So,
x = 35 - 8
= 27
Hence, the number of 2 point and number of 3 point be 27 and 8 respectively
Markale sold his house for 175,000. If there is a 7% sales tax, how much money did he pay taxes
Answers
Answer:
12250
Step-by-step explanation:
what is the number of distinguishable permutations of the letters in the word, POTATO
Answers
Answer:
720
Step-by-step explanation:
Potato has 6 letters
6!/2!×2!
6×5×4×3×2/2×2
Claudia works at a sweet shop making chocolate-dipped bananas. Sometimes she drops the chocolate-
dipped bananas before she can get them to the freezer. Claudia earns 20 cents for every frozen banana that
she makes. She loses 5 cents for each frozen banana that she drops. Last Wednesday, Claudia dipped 48
frozen bananas, but not all of them made it to the freezer. She earned a total of $7.60. How many bananas
were dropped and how many made it to the freezer? Define your variables and write a system of
equations representing this situation. Solve the system by using either graphing, substitution, or
elimination.
Answers
Here is the work i did for it!
The Frostburg-Truth bus travels from Frostburg Mall through the city's center to Sojourner Truth Park. The mall is 4 miles east and 5 miles north of the city's center. Truth Park is 4 miles west and 2 miles south of the city's center. How far is it from Truth Park to the mall to the nearest tenth of a mile? A-10.6 B-4.5 C-3 D-6.4
Answers
Answer:
10.9 miles
Step-by-step explanation:
distance of the park to the mall = distance of the mall from the city centre + distance of the park from the city centre
this question would be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypothenuse
distance of the mall from the city centre = 5² + 4²
25 + 16 = 41
√41 = 6.403124 miles
distance of the park from the city centre = 4² + 2²
16 + 4 = 20
√20 = 4.472136 miles
Total distance = 6.403124 miles + 4.472136 miles = 10.875260
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
the hundredth is 7. it is greater than 5. So, 1 is added to the tenth term. this gives 10.9 miles
Please check the attached images for a better understanding of how the question was solved.
