Answer:
Result after multiplication of polynomial is: [tex]6x^3+13x^2-5x[/tex]
Degree of polynomial = 3
Step-by-step explanation:
The given polynomials are:
[tex]x(3x-1)(2x+5)[/tex]
In order to multiply the given polynomials we have to work step by step. First of all the polynomials in the bracket will be multiplied and then their result will be multiplied with x.
So, multiplying the polynomials in round brackets first
[tex]=x(3x-1)(2x+5)\\= x\{3x(2x+5)-1(2x+5)\}\\=x\{6x^2+15x-2x-5\}\\=x(6x^2+13x-5)[/tex]
Now multiplying with x
[tex]= 6x^3+13x^2-5x[/tex]
Degree of a polynomial is the highest exponent of variable in the polynomial.
In the acquired result, the highest exponent of x is 3 so the degree is 3.
Hence,
Result after multiplication of polynomial is: [tex]6x^3+13x^2-5x[/tex]
Degree of polynomial = 3
The leg of an isosceles triangle has a length 2x+4 and the base has length 3x. The
perimeter is 141, What is the length of the base?
Answer:
[tex]Base = 57[/tex]
Step-by-step explanation:
Given
[tex]Length = 2x + 4[/tex]
[tex]Base = 3x[/tex]
[tex]Perimeter = 141[/tex]
Required
Determine the length of the base
The perimeter of an isosceles triangle is:
[tex]Perimeter = 2*Length + Base[/tex]
[tex]141 = 2 (2x + 4) + 3x[/tex]
[tex]141 = 4x + 8 + 3x[/tex]
Collect Like Terms
[tex]4x + 3x = 141 - 8[/tex]
[tex]7x = 133[/tex]
Divide both sides by 7
[tex]x = 19[/tex]
To get the base, we substitute 19 for x in [tex]Base = 3x[/tex]
[tex]Base = 3 * 19[/tex]
[tex]Base = 57[/tex]
Mr. Ortiz took his friends out to dinner last night and their subtotal was $88.24.
If the sales tax is 5% and if he plans to leave a 20% tip after the tax is added, how much did Mr. Ortiz spend total on dinner?
Answer:
$111.18
Step-by-step explanation:
Dinner is $88.24
Tax is (.05)$88.24 = $4.41
20% after tax added (.20)92.65 = $18.53
total dinner cost is $111.18
Guys plz help Answer this QUESTION!!!
Answer:
I beliEve it is D
Step-by-step explanation:
can u help me with this asap
Answer:
the answer is the first one
Step-by-step explanation:
Avery and Nolan's baseball teams are fundraising. Avery's team has reached ⅗ of their goal. Nolan's team has reached 5/9 of their goal. Avery says her team collected more money than Nolan's team. Both of the goals are $450. Is Avery correct?
Answer:
Yes , Avery is correct
Step-by-step explanation:
To check if Avery is correct, we need to know the exact value obtained in each of their goals
For Avery’s team;
3/5 * 450 = $270
For Nolan’s team
5/9 * 450 = $250
Since $270 is greater than $250, we can see that Avery’s team collected more money
2(h + 3.5) = -11 whats h?
Answer: H=-9
Step-by-step explanation:
(2)(h)+(2)(3.5)=−11
=2h+7=−11
=2h+7−7=−11−7
=2h=−18
h=-18/2
h=-9
Answer:
-9 is the answer hope it helps :)
Write an informal proof to show triangles ABC and DEF are similar. Please don’t answer if you don’t know!!
Answer:
ΔABC ~ ΔDEF
Step-by-step explanation:
If the given triangles ΔABC and ΔDEF are similar,
Their corresponding sides will be proportional.
[tex]\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{EF}}=\frac{\text{AC}}{\text{DF}}[/tex]
By substituting the measures of the given sides,
[tex]\frac{4}{2}=\frac{6}{3}=\frac{2}{1}[/tex]
2 = 2 = 2
Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.
ΔABC ~ ΔDEF
help me pleaseee!!!
the correct answer will get brainly!!
This for algebra 1
In a company, 70% of the workers are men. If 1,620 people work for the company who aren't men, how many workers are there in all?
Answer:
2106!
Step-by-step explanation:
1,620 - 70% = 486
486 + 1,620 = 2106
( お力になれて、嬉しいです！)
Answer:
5,400 total workers
Step-by-step explanation:
70% of workers are men, this means that 30% of workers aren't men
This means that 1,620 is 30% of the total workers
To figure out the total workers you do:
30 (percentage that represents the value)/100 = 1,620 (value) / x (total workers)
You then cross-multiply the equation by multiple the numbers diagonal each other:
30/100
=1,620/x
So, 30x = 162,000
You then isolate the variable
30x/30 = 162,000/30
x = 5,400
What is the value of x?
4/5 x - 1/10 = 3/10
These are the answer choices.
1/4
8/25
2/5
1/2
Answer:
x=1/2
Step-by-step explanation:
4/5x-1/10=3/10
4/5x=2/5
x= 1/2.
Hope this helps :D
(3а-4)-4
how do you simplify?
Answer:
3a-8
Step-by-step explanation:
(3a-4) -4
= 3a-4-4
= 3a-8
3. Given A(3,5), B(7, 10), C(0, 2), and D(1, a),
determine the value of a for which:
a) Line AB is parallel to line CD.
b) Line AB is perpendicular to line CD.
please help!! 15 points! and marked brainliest
Answer:
Step-by-step explanation:
a. a=4
b. a=3
hope this helps
The equations of four lines are given. Identify which lines are parallel. Line 1: y = -7x + 6 Line 2: x + (1/3)y = -6 Line 3: y = -3x - 8 Line 4: y + 7 = (-1/7)(x + 4) please help me
Answer:
Line 2 ║ Line 3
Step-by-step explanation:
y = mx + b
~~~~~~~~~~
Line 1: y = - 7x + 6
Line 2: x + (1/3)y = - 6 ⇔ y = - 3x - 18
Line 3: y = - 3x - 8
Line 4: y + 7 = (-1/7)(x + 4) ⇔ y = [tex]- \frac{1}{7}[/tex] x - [tex]\frac{43}{7}[/tex]
[tex]m_{line2}[/tex] = [tex]m_{line3}[/tex] ⇒ Line 2 ║ Line 3
Tomas is a commercial real estate agent who earns a yearly salary of $82,500 and a 2.5% commission on his total sales. If Tomas sold properties that totaled $3.75 million in sales during one year, what are Tomas’s earnings for that year?
Answer:
Step-by-step explanation:
tomas earning is $176,250
how many whole numbers lie between √ 8 and √ 80
Answer:
There are 5 whole numbers.
Step-by-step explanation:
3,4,5,6,7
Answer:
6Step-by-step explanation:
√ 8 < √ 9 = 3and
√ 80 < √ 81 = 9Whole numbers between √8 and √80 are:
3, 4, 5, 6, 7 and 8 - total 6 numbersMichael got a $50 gift card to an online music store. She uses the gift card to buy an album for $9.99. She also wants to use the gift card to buy some songs. Each song costs $1.29. Which of these inequalities describes this situation, where n is the number of songs Michael wants to buy?
Answer:
$9.99 + $1.29n ≤ $50
Step-by-step explanation:
Given that:
Worth of gift card = $50
Cost of album purchased = $9.99
Cost per song to purchase = $1.29
Number of songs to purchase = n
Inequality to model the situation :
Cost of album + cost per song * (Number of songs) ≤ worth of gift card
$9.99 + ($1.29 * n) ≤ $50
$9.99 + $1.29n ≤ $50
Marcus and his family are planning a vacation that involves horse back riding. Horseshoe Ranch charges a $12.95 ranch entrance fee plus a $14.95 an hour to rent horses for horse back riding. Mary is going to rent a horse for 3 hours, how much will she spend?
Answer:
$57.8
Step-by-step explanation:
Horseshoe ranch charges $12.95 ranch entrance fee
$14.95 is paid per hour to rent the horse
Therefore since Mary is going to rent the horse for 3 hours then the total amount she will spend can be calculated as follows
= $12.95 + $14.95×3
= $12.95 + $44.85
=$57.8
Please Help!!! 50 D).4x + 8y ≥ 50
Answer:
does anyone else miss their best friend ?? :C
Step-by-step explanation:
ZACKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK COMEEEEEEEE BACKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
Answer:
U okay?
Step-by-step explanation:
There is a leak in the ceiling due to snow. John is planning to use a bowl
to catch the dripping water.
The number of bowls (y) filled during (x) hours can be represented by the
equation y = 2.5x
1. what is the constant proportionality
2. How long will it take to fill 8 bowls
3. how many bowls fill in 5 hours
HELP PLEASE ILL THANK AND GIVE BRAINLESS
What is the value of 0
Answer:
The number 0 is the smallest non-negative integer. The natural number following 0 is 1 and no natural number precedes 0. The number 0 may or may not be considered a natural number, but it is an integer, and hence a rational number and a real number (as well as an algebraic number and a complex number).
Cardinal: 0, zero, "oh" (/oʊ/), nought, naught, nil
Binary: 0
2
Hexadecimal: 0
16
Step-by-step explanation:
State the class width for the class interval 20-29?
Answer:
9
Step-by-step explanation:
Class width = 29 - 20 = 9
What is the binary number for 26
The product of a number and -5 is at least 35. Write as an inequality.
Product hints at multiplication so -5n is AT LEAST meaning that it is at or greater than 35....
-5n ≥ 35
Answer:
-5x≥35
Step-by-step explanation:
The word "product" means to multiply so I know that -5 times a number x is at least 35. The phrase "at least" means greater than or equal to so I know its a ≥ sign.
Hope this helps you
plz helpppppppp
two right circular cones have the same radius as 7cm and the sum of their heights is 42cm . then find their total volume.
Answer:
hope it helps..
Step-by-step explanation:
If this helps please comment on my answer...
Answer:
hope it's helps you have a great day keep smiling be happy stay safeA regular dodecagon (12 sided polygon) is rotated n degrees about it's center, carrying the dodecagon onto itself. What is the minimum number of degrees it must be rotated to carry the dodecagon onto itself? *
A. 30 degrees
B. 15 degrees
C. 60 degrees
D. 90 degrees
Which one?
Answer:
30 degrees
Step-by-step explanation:
The first time a census was taken in Michele Corners, the population was 1772. Each year after that, the population was about 9% higher than it was the previous year.
Sketch the graph that represents the situation. Let x represent the number of years since the first census was taken.
What are the coordinates of the point that contains the y-intercept?
A. ( 1772, 0)
B. ( 1, 1772)
C. ( 0, 1772)
D. ( 1772, 1)
Answer:
i'm 95% sure that it is D
Step-by-step explanation:
don't be mad if i'm wrong
Nine times a number, diminished by 4, is 95
Answer:
the number is 11
Step-by-step explanation:
"Diminished" is another word for subtraction, so our equation is : 9x - 4 = 95
Add 4 on each side: 9x = 99
Divide each side by 9: x = 11
I hope this helped, please mark Brainliest, thank you!
Answer:
Step-by-step explanation:
Let a number be X
So
Nine times a number, diminished by 4, is 95
9x-4=95
9x=95+4
9x=99
X=99/9
X=11
So the number is 11
(6th grade math)
yasiara has 3/4 of cake. she wants to divide it up into 1/12 size pieces. how many pieces will she have?
Answer:
9
Step-by-step explanation:
Multiply the denominator of 3/4 to get the same denominator as 12 which would be 3 so that makes it 9/12
Please please please help me I’m stupid Please thank you I would really appreciate it
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Which expression is represented by this model?
14×13=112
13×12=16
14×16=124
14×12=18
Answer:
the first one
Step-by-step explanation:
hope i helped
Answer:
a
Step-by-step explanation:
pls give brianleist