Draw quick pictures and write to explain how to break apart addends to find the sum of 324 + 231

Answers

Answer 1

Answer:

Answer: The explanation of the given addition is mentioned below.

Step-by-step explanation:

Since Here we have numbers 324 and 231.

So if we want to add these two numbers then at first we should add 4 and 1, That is 4+1= 5, which is the once place digit of our answer.

Now we should add 2 and 3 , that is , 2+3 =5 which is the tense place digit of our answer.

Finally we should add 3 and 2 the result is 3+2= 5 , which is the hundreds place digit of our answer.

Thus the complete result is 555.

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If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (fxg) (x)?

Answers

Answer:

$(f* g) (x)=3x^3+2x^2+3x+2$

Step-by-step explanation:

Given : If $f(x) = 3x + 2$ and $g(x)=x^2+1$

To find : Which expression is equivalent to $(f* g) (x)$ ?

Solution :

We can write,

$(f* g) (x)=f(x)* g(x)$ ....(1)

We know, $f(x) = 3x + 2$ and $g(x)=x^2+1$

Substituting the values in (1),

$(f* g) (x)=(3x+2)* (x^2+1)$

Multiply term by term,

$(f* g) (x)=3x^3+3x+2x^2+2$

$(f* g) (x)=3x^3+2x^2+3x+2$

Therefore, The expression is equivalent to $(f* g) (x)=3x^3+2x^2+3x+2$

$f(x)=3x+2\nThe\ domain\ D_f=\mathbb{R}\n\ng(x)=x^2+1\nThe\ domain\ D_G=\mathbb{R}\n\nD_f=D_g\ therefore\ (f* g)(x)=f(x)* g(x)\n\n(f* g)(x)=(3x+2)(x^2+1)=3x^3+3x+2x^2+2=\boxed{3x^3+2x^2+3x+2}$

If a student spent a total of $83 on tickets ,how many tickets did he buy.? using this funtion below "c=24.50t 9.50

Answers

83=24.50(x)+9.50
83.00-9.50=73.50=24.50x
73.50/24.50=x
x=3 tickets
Your welcome =)

Corinne is 6 years younger than her brother. Which of the following expressions shows the sum of their ages if b represents Corinne's brother's age?

Answers

From the given conditions above, if Corrine's brother's age is b, hers would be b - 6 given that she is 6 year younger. Adding b with b - 6 will give 2b - 6. Thus, the expression that shows the sum of their ages is 2b - 6.

Consider the polynomial P(x)=x⁴+3x³-28x²-36x+144. Write the equation of P in factored form.

Answers

Answer:

P(x)=(x-2)(x-4)(x+3)(x+6)

Step-by-step explanation:

Given: P(x)=x⁴+3x³-28x²-36x+144

It is a polynomial with degree 4.

It should maximum four factor.

Hit and trial error method.

Put x = 2 into P(x)

P(2)=2⁴+3×2³-28×2²-36×2+144

P(2) = 0

So, x-2 would be factor of P(x)

Now divide x⁴+3x³-28x²-36x+144 by x-2 to get another factors

$(x^4+3x^3-28x^2-36x+144)/ (x-2) = x^3+5x^2-18x-72$

$P(x)=(x-2)(x^3+5x^2-18x-72)$

Put x = 4

$P(4) = 0$

now divide $x^3+5x^2-18x-72$ by x-4

$(x^3+5x^2-18x-72)/ (x-4) = x^2+9x+18$

$P(x)=(x-2)(x-4)(x^2+9x+18)$

Now factor $x^2+9x+18$

$\Rightarrow x^2+9x+18$

$\Rightarrow (x+6)(x+3)$

Complete factor of P(x)

P(x)=(x-2)(x-4)(x+3)(x+6)

What type of expense is a toll

Answers

Answer:

The IRS considers them to be part of your employee business expenses, which fall under the category of miscellaneous deductions. Add the cost of tolls, parking, your other car expenses to your other employee business expenses and combine that amount with other miscellaneous expenses.

Step-by-step explanation:

Answer: Well I guess that you add the cost of tolls like the parking, your car expenses and other workers business expenses combine that amount you got with another miscellaneous expenses

What is the name of a solid object traveling through space that strikes Earth’s atmosphere?meteor

meteorite

meteoroid

asteroid

Answers

A meteorite is a solid piece of debris, from such sources as asteroids or comets, that originates in outer space and survives its impact with the Earth's surface. It is called a meteoroid before its impact.

Answer:

Meteorites

Step-by-step explanation:

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