Change 161/4 to a mixed number

Answers

Answer 1
Answer: okay right off the bat, 161/4, so 16/4 is 4, plus the 1 is 40(forget the one).
So 40  1/4
Answer 2
Answer: the answer would be 40 and 1/4

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#1. Given the binomials (x - 2), (x - 1), (x + 2), and (x - 4), which one is a factor of f(x) = x3 + 7x2 + 14x + 8? (x - 2) (x - 1) (x + 2) (x - 4) Given the binomials (x + 1), (x + 4), (x - 5), and (x - 2), which one is a factor of f(x) = 3x3 - 12x2 - 4x - 55? (x + 1) (x + 4) (x - 5) (x - 2) #2. What is the f of x over the g of x when f(x) = 6x3 - 19x2 + 16x - 4 and g(x) = x - 2?6x2 - 7x + 2/3x2 - 9x + 8/ 6x2 - 7x + 2 - 8 over the quantity of x minus 2/3x2 - 9x + 8 - 8 over the quantity of x minus 2 #3. What is the f of x over the g of x when f(x) = 6x3 - 19x2 + 16x - 4 and g(x) = x - 2? #4.What is the quotient when -3x3 + 5x + 14 is divided by x - 2? -3x2 - 6x - 7/- 3x2 - x + 12/-3x2 + 6x - 7 + 28 over the quantity of x minus 2/ -3x2 - x + 12 + 28 over the quantity of x minus 2. #4. What is the quotient when x3 - 5x2 + 2x + 5 is divided by x - 2? x2 - 3x - 4/ x2 - 7x + 16/x2 - 3x - 4 - 3 over the quantity of x minus 2 x2 - 7x + 16 - 3 over the quantity of x minus 2

Find the area of a triangle with base of 10 inches and altitude to the base of 16 inches. 80 in² 135 in² 160 in²

Answers

Answer:

Option 1st is correct

area of a triangle is, 80 in²

Step-by-step explanation:

Area of triangle(A) is given by:

A = (1)/(2) b \cdot h

where,

b is the base

h is the height or altitude of the triangle respectively.

As per the statement:

Base of a triangle(b) = 10 inches and

Height = altitude(h) = 16 inches

Substitute these in [1] we get:

A = (1)/(2)(10) \cdot 16

A = 5 \cdot 16 = 80in²

Therefore, the area of a triangle is, 80 in²

10 × 16 = 160
160 / 2 = 80

Your answer would be 80in²

Hope that helps!

How many solutions does the equation 3x + 6 = − 1 − 3 + 4x have?Two
Zero
One
Infinitely many

Answers

Answer:

The number of solutions of the equation is:

                                    One.

Step-by-step explanation:

We are asked to find the number of solutions of the equation:

3x+6= -1-3+4x

(

We know that a expression has a unique or one solution if it gives a single value of x after solving the expression.

and we obtain a no solution when the equation gives a false result i.e. the left and right hand side of equality are different.

and infinite many solution if the left and right hand side of equality is same but we can't get a fix value of x )

Now on solving the expression we have:

                     3x+6= -4+4x

i.e.                 4x-3x=6+4

i.e.                      x=10  

Hence, we get a unique value of x.

Hence, the equation has one solution.

it has One solution and to get it solve the equation for x :
6+1+3=4x-3x
x=10

Solve this equation
3x+5y=26
2x-y=13

Answers

Okey  I help you

3x+5y=26
5*/2x-y=13

3x+5y=26
10x-5y=65
+------------------

13x= 91
x=7 

3x+5y=26
3*7+5y=26

5y=5 

y=1 ,,

Hope it helps :))

Which expression is equivalent to 15 + 6x?

Answers

Answer:

Step-by-step explanation:

The expression 15 + 6x can be simplified further. The term 15 is a constant because it does not contain a variable. On the other hand, 6x is a variable term because it contains the variable x.

To simplify the expression, you can combine like terms by adding or subtracting the coefficients of the variable terms. In this case, you can't combine 15 and 6x because they are not like terms.

Therefore, the expression 15 + 6x is already simplified and does not have an equivalent expression. It represents the sum of 15 and 6 times x.

If the area of a rectangle is 16s^2t and the length is 8st^2, what would be the width of the rectangle, given that width is found by dividing area by length? Simplify the answer.2st

2 over the quantity s times t

the quantity of 2 times s all over t

t over the quantity 2 times s

Answers

Given:
Area = 16s²t
Length = 8st²
Width = ?

Width = Area / Length
Width = 16s²t / 8st²
Width = 2s/t ⇒ the quantity of 2 times s all over t.


Answer:

(2s)/(t)

Step-by-step explanation:

5. What is a cubic polynomial function in standard form with zeros 1, –2, and 2? (1 point)= x3 + x2 – 3x + 4
= x3 + x2 – 4x – 2
= x3 + x2 + 4x + 4
= x3 – x2 – 4x + 4

Answers

Answer:

Option D is correct

The cubic polynomial function in standard form is :

x^3-x^2-4x+4

Step-by-step explanation:

Given the zeroes of the polynomial function 1 , -2 and 2.

i.e,   x = 1 , -2 and 2  where x is the zero of the polynomial function.

we can write this as

x - 1 = 0,

x + 2 = 0 or

x - 2 = 0  

(x - 1)(x + 2)(x - 2) =0  

Using identities (a+b)(a-b) =a^2-b^2

then;

(x-1)(x^2-4)=0

Multiply the first term of the first expression with second expression;

x (x^2-4) =x^3-4x

also,

Multiply the second term of the first expression with second expression;

1(x^2-4) = x^2 -4

Now, subtract x^3-4x and x^2 -4

we get;

x^3-4x-x^2+4

then, we have;

x^3-x^2-4x+4=0

Cubic function is any function of the form y = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a≠0

therefore, the given function is cubic function;

so, the cubic function f(x) = x^3-x^2-4x+4


Hello,

Answer D
(x-1)(x+2)(x-2)=(x-1)(x²-4)=x^3-x²-4x+4