Answer:
[tex]Area = 6x^3+-5x^{2} +6x+5[/tex]
Step-by-step explanation:
Given that:
Length of a rectangle = [tex]3x^2-4x+5[/tex]
Width of rectangle = [tex]2x + 1[/tex]
To find:
Simple polynomial expression for finding the area of rectangle.
Solution:
First of all, we should know about the formula for finding the area of rectangle. Then we should know how to multiply two polynomials.
Formula for area of a rectangle in terms of its length and width is:
[tex]Area= Length \times Width[/tex]
Putting the given values:
[tex]Area = (3x^2-4x+5)(2x+1)[/tex]
Here, we can use the distributive property of multiplication for finding the value of the above multiplication expression.
[tex](A+B)\times (C+D) = A\times C + A\times D+ B\times C + B \times D[/tex]
Therefore, the multiplication of above polynomials can be written as:
[tex]Area = (3x^2-4x+5)(2x+1)\\\Rightarrow Area = 3x^2(2x+1)-4x(2x+1)+5(2x+1)\\\Rightarrow Area = 6x^3+3x^{2} -8x^{2} -4x+10x+5\\\Rightarrow Area = 6x^3+-5x^{2} +6x+5[/tex]
Therefore, the answer is:
[tex]Area = 6x^3+-5x^{2} +6x+5[/tex]
The dimensions of a tin box are 4m * 3.5 m * 3m. If 25 such boxes are to be made. Find the area of the tin sheet required.
Answer:
1750 m²
Step-by-step explanation:
Dimension of tin box = 4m * 3.5 m * 3m
Length, l = 4 ; width, W = 3.5 ; height, h = 3
Total Surface area= 2(lw * lh * wh)
= 2((4*3.5) + (3.5*3) + (3.5 * 3))
= 70 m³
Area required to make 25 ;
25 * 70m³
= 1750 m³
Could someone help me with this one? I'm a tad stuck. I'll give brainliest to the correct answer!
Answer: 130 or a
Step-by-step explanation: 360-230=130
Answer:
130°
Step-by-step explanation:
First step you need draw a line from X to O and line Z to O. Both of them are radius.
as we know, radius and tangent line are always perpendicular. so the degree is 90° each.
shape of XYZO is kite with total of 360°
so the arc XZ have
360 - 50 - 90 - 90 = 130°
PLS HELP ME ! ! ! ! !
Answer:
D (0, 2)
General Formulas and Concepts:
Algebra I
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = 3/4x + 2
Step 2: Break Function
Identify Parts
Slope m = 3/4
y-intercept b = 2
Please help!!!!
Tom, Lisa, and Jane are competing in a cooking competition. They all used different amounts of sugar from a can containing 4 pounds of sugar. Tom used 13% of the total sugar in the can. Lisa used 0.6 pounds of the total sugar in the can. Jane used 0.12 of the total sugar in the can. Who used the greatest amount of sugar from the can? Show your work and explain your answer in words.
Answer:
13 x 4
100
= 0.52 so tom used the most
Step-by-step explanation:
Write P(x) = x^3 + x^2 − 17x + 15 as a product of two factors, using x − 3 as one factor.
A. (x − 3)(x^2 + x − 17)
B.(x − 3)(x^2 + 4x − 17)
C.(x − 3)(x^2 – 4x − 5)
D.(x − 3)(x^2 + 4x − 5)
Answer:
D. (x-3)(x^2 + 4x - 5)
Step-by-step explanation:
P(x) = x³ + x² - 17x + 15 can be written as (x - 3) (x² + 4x - 5) as a product of two factors.
What is Polynomials?Polynomials are expressions in algebra which consist of variables, constants and exponents combined using the basic operations in mathematics like addition, subtraction, multiplication and division.
Polynomials can be classified as monomials, binomials and trinomials depending on the degree of the variables as 1, 2 and 3 respectively.
The given polynomial is P(x) = x³ + x² - 17x + 15.
We already have x - 3 is the factor of this polynomial.
To get the other factor which is a binomial, we have to divide the given polynomial with x - 3.
On dividing, we get x² + 4x - 5 as the quotient and remainder equals zero.
So x² + 4x - 5 is the other factor of the given polynomial.
Hence, the polynomial P(x) = x³ + x² - 17x + 15 can be written as (x - 3) (x² + 4x - 5) as a product of two factors.
To learn more about Polynomials, click on the link given below:
https://brainly.com/question/11536910
#SPJ2
12. The number of mold spores in the school bathroom sink started at 4. The number of spores doubled every day. The equation f(x)=4•2^x models the situation. How many mold spores will
there be after 6 days?
spores
Answer: i dony know honestly
Step-by-step explanation:
Answer:
128
Step-by-step explanation:
If you start off with 4 and it doubles every day, by day two you would have 8 spores then by day three you will have 16 because it doubles itself. Day four you have 32, day 5 you will have 64 and finally day 6 you will have 128
Please Help! I’m Dum
Answer:
same im dum 2 :((((
Step-by-step explanation:
help me plz (geometry)
Answer:
I’m pretty sure it’s A
Lila wrote an equation of the cost for printing brochures, where x represents the number of brochures and y represents the total cost. The total cost for 35 brochures is $41.45. The total cost for 65 brochures is $55.55.
Step 1: Write the ordered pairs (35, 41.45) and (65, 55.55).
Step 2: Find the slope. m = StartFraction 55.55 minus 41.45 Over 65 minus 35 EndFraction = 0.47
Step 3: Find the y-intercept to write the equation in slope intercept form. y minus 55.55 = 0.47 (x minus 35). Y minus 55.55 = 0.47 x minus 16.45. y = 0.47 x + 39.1.
Which explains the error that Lila made?
A. Lila made in error in Step 1 by reversing the ordered pairs.
b.Lila made an error in Step 2 by not using the slope formula.
c.Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.
d.Lila made an error in Step 3 when she did not use the distributive property correctly when multiplying.
since its hard first answer = brainliest
Answer:
c
Step-by-step explanation:
Please see the attached picture for the full solution.
Answer:
C.
Step-by-step explanation:
Find the equation of the line. use exact numbers
Answer:
y = -2x + 5
Step-by-step explanation:
The slope is -2/1 and the y intercept is 5.
Javier is helping his parents put up posters in their movie theater. Each poster has a thickness of 0.012 inch. How thick is a stack of 10 posters? 100 posters? 1,000 posters?
and why
Step-by-step explanation:
1=0.012inch
10=0.012x10
10=0.12inch
100=0.012x100
100=1.2inch
1000=0.012x1000
1000=12inch
because if 1 poster has a thickness of 0.012 inch
than you have to multiple the number of posters with 0.012 inch
The length of a rectangle is 5 meters greater then the width. The perimeter is 150 meters. What is the width of the rectangle
answer:
p=2(l+w)
150=2.5+w
150=10w
150/10=w
15=w
Solve for x
A. 27 B. 37 C. 30 D. 31
Answer:
A
Step-by-step explanation:
i think
1.3472+1.1528=???
pls solve
Answer: 2.5
Step-by-step explanation:
How do you know from a graph if a relationship is a direct variation?
Answer:
A direct variation is when x and y (or f(x) and x) are directly proportional to each other... For example, if you have a chart that says x and y, and in the x column is 1, 2 and 3, and the y column says 2, 4 and 6... then you know it's proportional because for each x, y increases by 2
Step-by-step explanation:
(x⁴ + 8x³ - 45x + 30) ÷ (x + 7)
Topic is Polynomials. Find the answer using long division. Please, provide detailed steps.
Answer:
Step-by-step explanation:
I added 3 images labelled Synthetic division 1 , 2 , 3 . I hope you understand this. It's really hard to type the method in the format so I used an online calculator symbolab.
Answer:
The quotient is: [tex]x^3+x^2-7x+4[/tex]
The remainder is: 2
Step-by-step explanation:
We need to solve the polynomials [tex](x^4 + 8x^3 - 45x + 30) \div (x + 7)[/tex]
by using long division.
The long division is done in figure attached.
The quotient is: [tex]x^3+x^2-7x+4[/tex]
The remainder is: 2
1. 9(2+3x)=45
2. 8(4+x)=64
Solve for x
Answer:
1) x=1
2)x=4
Step-by-step explanation:
Solved the equation and checked using calculator
Given g(x) = -
—x – 2, find g(-3).
Answer:
1
Step-by-step explanation:
negative times negative is positive so that would make it 3-2 which is 1.
Melissa is making a piece for a stained glass window that has the shape and measures shown below. Point Cis the center of the partial circle that forms one corner of the stained glass piece. 6 in C 1 1 10 in. 1 11 12 in which area is the closest to the area of the stained glass piece in square inches? Use 3.14 form π
Answer:
Its 184.26 I think sorry if it's wrong
Step-by-step explanation:
3 fewer than than a number ,p
Answer:
p - 3
Step-by-step explanation:
If the number is "p", it would be p - 3
Hope this answered your question! <3
Rin can type 280 words in 7 minutes. At this rate, how many words can she type in 10 minutes?
Answer:
400 words in 10 minutes
Step-by-step explanation:
If you divide 280 by 7, you get 40. That means she can type 40 words per minute. 40 times 10 equals 400.
I am leaving the life in brainly so take my gift
AnswBye
er:
Step-by-step explanation:
Answer:
Thanks
Step-by-step explanation:
Bye:(
HELP I NEED THOS FASSTTTT A
What is the domain of the function?
Answer:
A
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
domain -are all values of x
c -because x can take any value except 1
the graph shows the cost of some taxi journeys. work out a formula for C in terms of n.
Given:
The graph of cost of taxi with respect to number of miles.
To find:
The formula for C in terms of n.
Solution:
In the given graph x axis represents the number of miles (n) and y-axis represents the cost of taxi (C).
From the given graph it is clear that, the line passes through the points (0,3) and (5,6). So, the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-3=\dfrac{6-3}{5-0}(x-0)[/tex]
[tex]y-3=\dfrac{3}{5}(x)[/tex]
Adding 3 on both sides, we get
[tex]y=\dfrac{3}{5}x+3[/tex]
Putting y=C and x=n, we get
[tex]C=\dfrac{3}{5}n+3[/tex]
Therefore, the required formula is [tex]C=\dfrac{3}{5}n+3[/tex].
Answer:
c=3/5n+3
Step-by-step explanation:
Please help!!! ASAP!
y=-x Identify the slope and y-intercept
Answer:
57
Step-by-step explanation:
the number with the equation
Answer:
Slope: m = -1 y-intercept: b = 0Step-by-step explanation:
slope-intercept form of equation: y = mx + b
wherae m is the slope and b is the y-intercept
So:
y = -x
y = -1x + 0 ⇒ m = -1 b = 0
The table shows a person saving money at a constant rate. How much is this person saving per week?
(Chart)
$------ 2-60. 4- 120. 6- 180. 8-240
(Answers)
A)$2.
B)$30.
C)$60.
D)$120
Answer:
We conclude that the person is saving $60 dollars per week.
Hence, option C is true.
Step-by-step explanation:
Given the table chart
Week Saving Money
2 60
4 120
6 180
8 240
We know to determine the slope to find the rate of change.
Taking the points (2, 60) and (4, 120)
Rate of change = Slope = [y₂ - y₁] / [x₂ - x₁]
= [120 - 60] / [4 - 2]
= 60 / 2
= $30 dollars per week
Now, taking the points (4, 120) and (6, 180)
Rate of change = Slope = [180 - 120] / [6 - 4]
= [60] / [2]
= $30 dollars per week
Now, taking the points (6, 180) and (8, 240)
Rate of change = Slope = [240 - 180] / [8 - 6]
= [60] / [2]
= $30 dollars per week
This concludes that the rate of change is contant i.e. $30 dollars per weekTherefore, we conclude that the person is saving $60 dollars per week.
Hence, option C is true.
2x^3=128
work out the value of x
Step-by-step explanation:
2x^3=128
or,x^3=128/2
or,x^3=64
or,x=3√64
or,x=4
−5w−2w+3w=9 whats w
help
Answer: w = -9/4
Step-by-step explanation:
dave says:
the only quadrilateral with two lines of symmetry is a rectangle
is dave correct
explain your answer
There are 2 symmetry lines of a rectangle which are from its length and breadth. These two lines cut the rectangle in two similar halves which are mirror images of each other. If a rectangle is folded along its line of symmetry, it superimposes perfectly.