Please help me i need the answer right now. The lesson is Rational Root Theorem.
Step-by-step explanation:
1. The length is one more thrice it's width. The height is 4 more than it width. We can represent the
x+4.(3x+1)(x)The volume is 720.Volume of Rectangular prism is LxWXH. So the volume is equal to the terms all multiplied. which is[tex](3x + 1)(x + 4)[/tex]
[tex](3 {x}^{2} + 13x + 4)x = 720[/tex]
Multiply it by x.
[tex]3 {x}^{3} + 13 {x}^{2} + 4x = 720[/tex]
[tex] 3{x}^{3} + 13 {x}^{2} + 4 x - 720[/tex]
The possible roots
The possible roots are plus or minus is1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, and 720. By a long list of substitution, 5 is a root. So this means that x=5. So the width has to be
[tex]x = 5[/tex]
2. First. we apply the Rational Root Theorem so the possible roots are plus or minus 1,2,3,6.
Let check via synethic division to see which are roots.
Let try 1 and -1 first. If we plug 1 into the equation, we get
[tex]1 - 2 - 5 + 6 = 0[/tex]
So 1 or (x-1) is a solution. Since it's a solution we can divide this into our original polynomial to get us a new polynomial that is more simplified. If we apply synthetic division, we get a new polynomial in
[tex] {x}^{2} - x - 6[/tex]
We can then factor this into
[tex](x - 3)(x + 2)[/tex]
So our roots or factors is
[tex](x - 1)(x - 3)(x + 2)[/tex]
What is the resulting equation when the expression for y in the second equation is substituted into the first equation?
3x + y = 1
y = 6 - 4x
A. 7x + 6 = 1
B. -x + 6 = 1
C. x + 6 = 1
Answer:
Step-by-step explanation:
Bonjour,
3x + y = 1
y = 6 - 4x
3x +6-4x= 1
-x+6 = 1
please help me with this
Stacy spent £18 on ingredients for bread.
She made 12 loaves and sold them for £1.80 each.
Calculate her percentage profit.
For which distributions is the median the best measure of center?
Select each correct answer.
Answer:
it will be the correct answer..
because
The median is the most informative measure of central tendency for skewed distributions or distributions with outliers. For example, the median is often used as a measure of central tendency for income distributions, which are generally highly skewed.
ni
Critique Patrick thinks that when a is a negative integer and b is a positive
below and decide whether they are true or false. For statements that are true, give
integer, each of the following statements is always true. Read the statements
an example to support Patrick's claim. For statements that are false, give a
counterexample.
a. 0-b is positive.
b.
b. b-a is positive.
100
60-(-6) is negative.
80
Answer:
Step-by-step explanation:
Patrick thinks that when 'a' is a negative integer and 'b' is a positive,
Let "a = -2" and "b = 3"
a). a - b is positive.
a - b = -2 - 3
= -5 {negative]
Therefore, statement is False.
(a - b) is negative.
b). b - a is positive.
b - a = 3 - (-2)
= 3 + 2
= 5 [Positive]
Statement is True.
c). a - (-b) is negative.
a - (-b) = a + b
= -2 + 3
= 1 [Positive]
False.
But it's true when a = -5 and b = 3
a - (-b) = -5 - 3
= -8 [Negative]
A cook has 4 cups of raisins to make oatmeal cookies. The recipe requires 3 cup of raisins for each
batch of cookies. How many batches of cookies can the cook make?
Answer: 1⅓ batch of cookies
Step-by-step explanation:
From the question, we are given the information that a cook has 4 cups of raisins to make oatmeal cookies and that the recipe requires 3 cup of raisins for each batch of cookies.
Therefore, the number of batches of cookies that the cook can make will be the number of cups of rasins that the cook has divided by the number of reasons needed for each cookie. This will then be:
= 4/3
= 1⅓ batch of cookies
2. If a figure is at points (2,1), (-3,4), and (0,0) and it is translated using the rule (x+2, y-1), what would the new points be?
Answer:
(4, 0)
(-1, 3)
(2, -1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Step-by-step explanation:
Step 1: Define
Identify
Point (2, 1)
Point (-3, 4)
Point (0, 0)
Rule (x + 2, y - 1)
Step 2: Translate
Substitute in points into rule.
Point (2, 1) → (2 + 2, 1 - 1) = (4, 0)
Point (-3, 4) → (-3 + 2, 4 - 1) = (-1, 3)
Point (0, 0) → (0 + 2, 0 - 1) = (2, -1)
The following table gives a partial set of values of a polynomial function.
x –2 –1 0 1 2 3
g(x) –14 –2 0 –4 –6 2
Between which two values would a relative maximum most likely occur?
–2 and 0
–1 and 1
0 and 2
1 and 3
The values of x between which the relative maximum occurs is between the x-values; -1 and 1
The known parameters;
The table of the partial set of the polynomial values is presented as follows;
[tex]\begin{array}{rcr}\mathbf{x}&&\mathbf{g(x)}\\-2&&-14\\-1&&-2\\0&&0\\1&&-4\\2&&-6\\3&&2\end{array}[/tex]
From the table above, we have that g(x) is maximum (g(x) = 2) when x = 3
Method;
Define and find the relative maximum
The relative maximum of a function, is given by a point where the graph of the function changes direction from 'continuously' increasing values of the function before the point to 'continuously' decreasing values of the function after the point
From the table, at x = -2, -1, 0, g(x) = -14, -2, 0, and is therefore, increasing
Where, x = 0, 1, 2, we have g(x) = 0, -4, -6, therefore, g(x) is decreasing
The maximum value of g(x), in the region where g(x) changes from increasing to decreasing is g(x) = 0, which is given between the x-values of -1 and 1
Therefore, the relative maximum is most likely to occur between the values of x = -1, and x = 1, which is the option -1 and 1
Learn more about relative maximum here;
https://brainly.com/question/2321623
Which number gives you a rational sum when you add it to 4/7
Answer:
-2/12
Step-by-step explanation:
Given Rational Numbers are 4/7 and 13/7
Adding them we get 4/7+13/7
= (4+13)/7
= 17/7
Therefore, the Sum of 4/7 and 13/7 is 17/7.
Add 5/12 and -3/12?
Given Rational Numbers are 5/12, -3/12
Adding them we get 5/12+(-3)/12
= (5-3)/12
= -2/12
Gloria is designing an outdoor garden for her client and needs to find the
perimeter of the total shape. Write an expression that would represent the
total perimeter so Gloria can buy enough plants to go around the entire
shape.
Show work here: (Make sure answer is in simplified form)
Answer:
21x+4
Step-by-step explanation:
X’s: 21x
#’s: 4
So it will be 21x+4
The graph represents f(x) = (x1+3.
What is f(-2.2)?
O-2
5
ОО
4
0 1
02
0-3
2.
1
-3 -2 -1
1
2
3
4
5
x
.
- 2
-3
-5
The value of f(-2.2) according to the given function; f(x) = [x] +3 is; f(-2.2) = 0.8
Graph of linear functionsAccording to the question;
The function represented by the graph is; f(x) = [x] + 3.Hence, to evaluate the function at; f(-2.2);
We substitute -2.2 for x as follows;
f(x) = -2.2 + 3f(x) = 0.8Read more on linear functions;
https://brainly.com/question/15602982
Answer:
I believe the answer is 1
Step-by-step explanation:
edge 2022
2. Which inequality represents all solutions of -3b-52-6b - 13.
Ob26
Ob>-8/3
O b s8/3
Obs6
Answer:
b≥ - 8/3
Step-by-step explanation:
-3b-5≥-6b - 13.
Add 6b to each side
-3b+6b-5≥-6b+6b - 13
3b-5≥ - 13
Add 5 to each side
3b-5+5≥ - 13+5
3b≥ - 8
Divide by 3
3b/3≥ - 8/3
b≥ - 8/3
Victor had dozen boxes with n number of water bottles in each box.After removing dozen bottles, there were 84 bottles.Find the number of bottles in each box.
Answer:
There are 8 bottles in each box.
Step-by-step explanation:
Victor has 12 boxes with 'n' number of water bottles in each box.
A dozen is same as 12.
Now, 12 boxes and each with 'n' number of bottles. Total number of bottles in '12' boxes is 12n bottles.
Now, it is removing 12(a dozen) bottles from 12n bottles which gives 84.
So, 12n -12=84
Add both sides 12
12n= 96
Divide both sides by 12
n=8
So, there are 8 bottles in each box.
(x+2)(2x+1)+(x+2)(2x-3) factorizar
Answer:
(x + 2)(4x - 2).
Step-by-step explanation:
(x+2)(2x+1)+(x+2)(2x-3)
Note that (x + 2) is common to 2 parts of the expression. So we have:
(x + 2)(2x + 1 + 2x - 3)
= Ix + 2)(4x - 2)
which of the following points lies in the solution set to the system of inequalities shown below
y = -4
y ≤ 10
———————————————
(1) (-4, 10)
(2) (-2, 7)
(3) (2, 14)
(4) (-6, 2)
thank you in advance:))
Answer:
1,2, and 4
Step-by-step explanation:
I attached a picture with the graph
y= -4 is a straight horizontal line (red line) and
y≤10 will give a horizontal line passing trough y=10 (blue line)
the solution is all points under and on the line y=10
1, 2, and 4 are part of the solution set
(the blue area is the solution of the system of equations)
Answer:
( - 2, 7 )
Step-by-step explanation:
greatest common factor of 26m^4n^2, m^2n
Step-by-step explanation:
Hey there!
Given;
[tex]1st \: expn = 26 {m}^{4} {n}^{2} [/tex]
= 2*13 m⁴ n²
2nd expn = m² n
Therefore, greatest common factor is; m²n.
Hope it helps!
I need help what’s the answer?
Answer:
30 words per minute
Step-by-step explanation:
Take the number of words and divide by the number of minutes
150/5 = 30
300/10 =30
450/15 = 30
600/20 = 30
30 words per minute
Answer:
janae types 30 words each minutes.
Step-by-step explanation:
if 5minutes = 150 words
[tex]1 \: minute = \frac{150words}{5minutes} [/tex]
[tex] = \: 30words[/tex]
PLEASE HELP URGENT!! IN PICTURE
Angle ECD and Angle FDC are same-side interior angles. They lie on the same side of the transversal and are on the inside of the two parallel lines. Same-side interior angles are supplementary, meaning that they add up to 180.
(40x + 15) + (5x + 30) = 180
45x + 45 = 180
45x = 135
x = 3
Angle ECD = 40(3) + 15 = 120 + 15 = 135
Angle FDC = 5(3) + 30 = 15 + 30 = 45
Hope this helps!
Calculate expression value : G = 2x^3 + 35x^2 + 15x + 1 with x = -17
If a pine tree grows 3 inches per year,how long will it take for the tree to reach a height of 8 feet
Answer:
32 years
Step-by-step explanation:
8x12 because there are 12 inches in a foot
8x12=96
96/3
96/3=32
Answer:
32 years
Step-by-step explanation:
y = years
1 foot = 12 inches
12 × 8 = 96
Now, plug in random numbers into the expression below to find how long it takes for the tree to grow 8 feet.
3y
3 × 10 = 30
3 × 20 = 60
3 × 30 = 90
3 × 31 = 93
3 × 32 = 96
It will take the pine tree 32 years to grow 8 feet, or 96 inches.
The terminal point of 0 is (|3/2, 1/2). What is 0 if 0 <\ 0 < 360?
A. 60
B. 30
C. 45
D. 15
Which expression is a polynomial
Answer:
[tex]4x^3-2x^2+5x-6+\frac{1}{x}[/tex] is a polynomial
Step-by-step explanation:
a polynomial is a set of numbers with multiple terms that are not simplify able
[tex]9x^7y^{-3} z[/tex] is not a polynomial because its actually one term, there is no addition/subtraction of different terms.
-13 is a single number, so not a polynomial
13x^-2 is also a single number, not a polynomial
{{{{Help Please please}}}}
Given the circle with equation x+ y =17
a). Determine if the points D(-4, -1) and E(1, 4) are on the circle. Show all work
b). Find the equation of the perpendicular bisector of the chord DE
c). Verify that the perpendicular bisector from part b) passes through the center of the circle
{{{{Help Please please}}}}
Answer:
Circles have equations such as: (x -h)² + (y -k)² = radius²
You need terms raised to the power of 2
Step-by-step explanation:
What is the volume??
Answer:
245 cm³
Step-by-step explanation:
Volume of a triangle = length x width x height / 3
7 x 7 x 15 = 735
735/3 = 245
volume of a triangle =length×width height 3
7×7×15=735
735/3=24
i’ve came so far and i’m almost there please help!
Answer:
what the product of 2 and 3
John has a cylindrical water tank in his house with a 4 m radius and 15 m height. The cost of filling the water in the tank is $0.5 per cubic meter. What would be the cost of filling the complete tank? (Use pi = 3.14)
Answer:
$377
Step-by-step explanation:
Volume of a cylinder is;
V = πr²h
Where;
r is radius
h is height
We are given;
radius; r = 4 m
Height; h = 15 m
Thus;
V = π × 4² × 15
V = 753.9822 m³
Cost of filling the tank is $0.5 per m³.
Thus, total cost to fill this tank is;
C = 0.5 × 753.9822
C = 376.9911
C ≈ $377
Can someone help you
Answer:
16ml is the answer.......mmmm...
Find the value of 3cubed - (4)(2)
Answer:
[tex]1[/tex]
Step-by-step explanation:
Step 1: Find the value
[tex]3^{3} - (4)(2)[/tex]
[tex]9 - (4)(2)[/tex]
[tex]9 - 8[/tex]
[tex]1[/tex]
Answer: [tex]1[/tex]
the correct answer is BBBBBBBBB
which graph matches the linear equation x-3y=6
Step-by-step explanation:
x-3y=6
-3y=6-x
3y=x-6
y=x/3-2
option 4 is the answer
