Answer:
qp
Step-by-step explanation:
pq = p * q
In multiplication like this, the order doesn't matter:
5 * 3 = 15
3 * 5 = 15
2 * 9 = 18
9 * 2 = 18
Thus,
pq = p * q = q * p = qp
Answer: qp
Write two polynomial functions whose quotient will be the same degree as the divisor.
Answer:
[tex]f(x) = 6x^2 - 11x + 4[/tex]
[tex]g(x) = 3x - 4[/tex]
[tex]q(x) = 2x - 1[/tex]
Step-by-step explanation:
Represent the two polynomials with [tex]f(x)[/tex] and [tex]g(x)[/tex]
Let
[tex]f(x) = 6x^2 - 11x + 4[/tex]
[tex]g(x) = 3x - 4[/tex]
The quotient of two polynomial is the result of division between the two polynomials
Let q(x) represent the quotient polynomial
[tex]q(x) = \frac{f(x)}{g(x)}[/tex]
Where g(x) is the divisor
[tex]q(x) = \frac{6x^2 - 11x + 4}{3x - 4}[/tex]
Factorize the numerator
[tex]q(x) = \frac{6x^2 - 3x - 8x + 4}{3x - 4}[/tex]
[tex]q(x) = \frac{(3x -4)(2x - 1)}{3x - 4}[/tex]
[tex]q(x) = 2x - 1[/tex]
Notice that: q(x) and g(x) have the same degree of 1
n.p + p for n = 3 and p = 6
Answer:
Hey there!
3.6+6
9.6
Let me know if this helps :)
Write the ratio in simplest form 9 to 12
Can you explain why -5.5 x -5.5 = 30.25 if 5x5 equals 25???? Why is it 30 and not 25??? Please show math.
Convert 8 to Base 2
first divide 8 by 2 y0u will get 0 remainder
8/2=4 0 remainder
4/2 =2 0 remainder
2/2=1 0 remainder
1/2= 0 1 remainder
8= 1000 base 2
3
Find the side length of a cube with a volume of 141 yd
Answer:
Do you have a picture of the problem/graph?
Step-by-step explanation:
Only then, can i provide an acurate answer!
pls & thx
if x divided by 5 = 1760 , what is x ?
please help !
if x divided by 5 = 1760 , what is x ?
Set up an equation
[tex]\frac{x}{5}=1760[/tex]
Cross multiply
[tex]x=8800[/tex]
:)
Answer:
8,800
Step-by-step explanation:
5×1760=8800 if u divide that by 5
you get 1760
so its 8800
which algebraic rule will produce a translation that is 5units to the right?
Answer:
(x, y) --> ( x+5, y)
Step-by-step explanation:
The profit that a company makes selling an item (in thousands of dollars) depends on the price of the item (in dollars). If p is the price of the item, then three equivalent forms for the profit are
Standard form: - 2 p^2 + 24p - 54
Factored form: -2(p - 3)(y-9)
Vertex form: -2(p-6)^2 + 18.
Which form is most useful for finding a. The prices that give a profit of zero dollars?
b. The profit when the price is zero?
c. The price that gives the maximum profit?
Answer:
Step-by-step explanation:
If the profit of a company made by the company is in the form a quadratic expressions but in the different forms as given in the question.
a). The prices that give a profit of zero dollars.
Expression that is most useful,
Factored form: -2(p - 3)(p - 9) = 0
p = 3, 9
b). The profit when the price is zero .
Standard form:
Profit = -2p² + 24p - 54 = 0
-p² + 12p - 27 = 0
-p² + 3p + 9p - 27 = 0
-p(p - 3) + 9(p -3) = 0
(-p + 9)(p - 3) = 0
p = 3, 9
c). The price that gives the maximum profit.
Vertex form: -2(p - 6)² + 18
Vertex of the given expression → (6, 18)
Maximum profit will be at p = 6.
Therefore, profit = -2(6 - 6)² + 18 = 18
Identify the domain, range, and codomain in each graph. Then use the codomain and range to determine whether the
function is onto.
Answer:
Step-by-step explanation:
Domain : Set of all possible input values (x-values) on a graph
Codomain : Set of all possible out values for the input values (y-values) on the graph
Range : Actual output values for the input values (x-values) given on the graph.
Therefore, for the given graph,
Domain : (-∞, ∞)
Codomain : (-∞, 2]
Range : (-∞, 2]
From the given graph every input value there is a image or output value.
Therefore, the given function is onto.
Solve for k.
7k - 2 ≥ -9
Answer: k ≥ -1
Step-by-step explanation:
7k - 2 ≥ -9
add two to both sides
7k ≥ -7
k ≥ -1
Answer:
k ≥ -1
Step-by-step explanation:
7k - 2 ≥ -9
add 2 to both side
7k ≥ -7
divide both sides by 7
k ≥ -1
The perimeter of a rectangle is 150. The length of the rectangle is 9 more than the width. Find the width.
Answer:
33
Step-by-step explanation:
Length = Width + 9
Perimeter = Length + Length + Width + Width
Perimeter = Width + 9 + Width + 9 + Width + Width = 150
4(Width) + 18 = 150
Subtract 18 from both sides:
4(Width) + 18 - 18 = 150 - 18
4(Width) = 132
Divide 4 on both sides:
[tex]\frac{4(Width)}{4} =\frac{132}{4}[/tex]
Width = 33
between what two integers is √32
Answer:
5 and 6.
Step-by-step explanation:
5^2 = 25 and 6^2= 36
As we know, 32 is between 25 and 36, therefore √32 is between √25 and √36.
Write an algebraic expression that represents the following statement: “7 less than the quotient of 5 and n" *
[tex]\huge\boxed{\boxed{\bold{\frac{5}{n}-7}}}[/tex]
[tex]\hrulefill[/tex]
We'll start with the expression for the quotient of [tex]5[/tex] and [tex]n[/tex], which means we'll use division:
[tex]\frac{5}{n}[/tex]
Now we find [tex]7[/tex] less than that, meaning we'll use subtraction:
[tex]\frac{5}{n}\bold{-7}[/tex]
find how many centimeters are in 4.5 inches, you should
2.54 by 4.5 multiply? divide?
4.5 inches =
centimeters
Answer:
4.5in=11.43cm
Step-by-step explanation:
4.5*2.54=11.43
Answer:
You multiply
Step-by-step explanation:
You multiply the length value by 2.54 to get 11.43 cm
Solve the equation for the variable.
[tex]13x - 3.4 = 17.6 + 10x[/tex]
x = [?]
Answer:
[tex]13x - 3.4 = 17.6 + 10x[/tex]
[tex] = ) \: 13x - 10x = 17.6 + 3.4[/tex]
[tex] = ) \: 3x = 21[/tex]
[tex] = )x = \frac{21}{3} [/tex]
[tex] = ) \: x = 7[/tex]
x = 7
Step-by-step explanation:13x - 3.4 = 17.6 + 10x
13x - 10x = 17.6 + 3.4
3x = 21
x = 21 : 3
x = 7
Given f(x) = 4(x - 8), determine the value of f(10).
Answer:
f(x) = 4(x - 8)
4 (10 -8) = 8
Step-by-step explanation:
8 because you would replace the x with 10. f= 4((10) - 8)
show that (x+1)(x+3)(x+5) can be written in the form ax^3 + bx^2 + cx+ d where a,b,c and d are all positive integers.
Answer:
x³ + 9x² + 23x + 15
Step-by-step explanation:
Given
(x + 1)(x + 3)(x + 5) ← expand the first pair of factors using FOIL
= (x² + 4x + 3)(x + 5)
Each of the terms in the second factor is multiplied by each of the terms in the first factor, that is
x²(x + 5) + 4x(x + 5) + 3(x + 5) ← distribute the 3 parenthesis
= x³ + 5x² + 4x² + 20x + 3x + 15 ← collect like terms
= x³ + 9x² + 23x + 15 ← in the form ax³ + bx² + cx + d
D
AB = 21
DC = 3x
AD = y +7
BC = 2y
Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show that quadrilateral ABCD is a parallelogram
by finding the lengths of the opposite side pairs.
A)
7.3
B)
14,7
21,7
D
21, 14
Answer:
D) 21,14
Step-by-step explanation:
Help ASAP!!!! Please , 15 points
Answer:
im probably wrong but i think it's C
Is there a difference between 6.780 and 6.78? Why or why not?
Answer:
Step-by-step explanation:
No there is no difference because in a decimal the zero's don't matter, they can go on infinitely but if the numbers above zero are the same and in the same order then the zero's don't make any difference.
True or false, 6 divided by 1/2 is larger than 6 1/2
Answer:
True
Step-by-step explanation:
6 divided by 1/2 is the same as multiplying by two
Answer:
True
Step-by-step explanation:
6 divided by 1/2 = 12
You cannot divide a number by a fraction, so you must multiply by the reciprocal, or the opposite. The reciprocal of 1/2 is 2/1, or 2. 6*2=12
Solve for s.
8-45 5+13
where is the s in here though
15p+69=93.
solve for both variables
Three sides of a triangular field are of lengths 10 m, 20 m and 15 m respectively. Find the cost of fencing the field at the rate of Rs 25 per m.
Answer:
Step-by-step explanation:
Length of fence = Perimeter of triangle
= 10 + 20 + 15
Length of the fence = 45 m
Cost of fencing per meter = Rs. 25
Cost of fencing 45 m = 25 * 45
= Rs. 1125
[tex]\huge{\fbox{\fbox{Given:}}}[/tex]
Lengths of the three sides of triangle are 10m,20m and 15m.
Length of the fence =Perimeter of the ∆
[tex](10 + 20 + 15)m \\ = 45m[/tex][tex]\large{\fbox{\gray{Cost \: of \: fencing \: the \: field=}}}[/tex]
[tex]45 \times 25 = Rs1125[/tex]
▬▬▬▬▬▬▬▬▬▬▬The formula a = m − n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied. Solve the formula for the amount of the coupon. Group of answer choices n=m−a n = −m − a n=a+m n = a − m
Answer:
n = m − a
Step-by-step explanation:
Given:
a = m - n
Where,
a = Actual cost an item
m = Original price
n = amount of coupon
Solve the formula for the amount of the coupon
a = m - n
Add n to both sides
a + n = m - n + n
a + n = m
Subtract a from both sides
a + n - a = m - a
n = m - a
Amount of coupon, n = Original price of an item, m - Actual cost of an item, a
You have taken up gardening for relaxation and have decided to fence in your new
rectangular shaped masterpiece. The length of the garden is 4 meters and 34 meters
of fencing is required to completely enclose it. What is the width of the garden?
Answer:
13 meters
Step-by-step explanation:
Adjacent sides form half the perimeter, so the sum of the unknown side and the given side is 34/2 = 17 meters.
4 meters + width = 17 meters
width = 13 meters . . . . . subtract 4 meters
1 less than the product of 2 and a number
Product of 2 and a number less than 1 is 2a - 1
Given:
Product of 2 and a number less than 1
Find:
Expression
Computation:
Assume;
Another number is "a"
So,
According to question:
2(a) - 1
Product of 2 and a number less than 1 = 2a - 1
Learn more about liner equation;
https://brainly.com/question/3726207?referrer=searchResults
simplify the following expressions ( use distributed property )
Answer:
x - 3y
Step-by-step explanation:
Step 1: Write expression
[tex]\frac{3x-9y}{3}[/tex]
Step 2: Factor
[tex]\frac{3(x-3y)}{3}[/tex]
Step 3: Simplify
x - 3y
Question 4 -
Next >
What is the mode given the data set: 97, 82, 87, 97, 100, 75, 81?
A
81
B.
82
C.
97
D.
100
what’s the mode