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3 years ago

Part I : Write the type of polynomial next to the terms (monomial, binomial, trinomial)

Mathematics

1 answer:

Lady_Fox [76]3 years ago

7 0

Answer:

Part I:

1. binomial

2. trinomial

3. monomial

4. monomial

Part ll :

5. 8xy2 + 6xy + 5y + 12

6. 9x4 + 3x7 - 4x2 + 34x

Part lll:

7. (p3+5p2+9p-6)+(5p3-8p+1)

= p3 + 5p2 + 9p - 6 + 5p3 - 8p + 1

= 6p3 + 5p2 + p - 5 ( add all the like terms i. e. those terms having the same power)

8. (2p4+3p+9) +(4p4+3p3+p)

= 2p4 + 3p + 9 + 4p4 + 3p3 + p

= 6p4 + 3p3 + 4p + 9 ( adding all the like terms i. e. those terms having same power )

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A total of $20,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds i

Brilliant_brown [7]

Answer:

$8,500 in CDs; $11,500 in bonds

Step-by-step explanation:

Let c = amount invested in CDs.

Let b = amount invested in bonds.

"A total of $20,000 is to be invested, some in bonds and some in certificates of deposit (CDs)."

From the total investment, we get this equation.

c + b = 20000

"If the amount invested in bonds is to exceed that in CDs by $3000"

From the details of the amounts, we get this equation.

b = c + 3000

We have a system of equations in two unknowns.

c + b = 20000 Eq. 1

b = c + 3000 Eq. 2

Since Eq. 2 is already solved for b, we will use the substitution method to solve the system of equations.

Substitute b in Eq. 1 with c + 3000.

c + c + 3000 = 20000

2c + 3000 = 20000

2c = 17000

c = 8500

Now substitute c = 8500 in Eq. 2 and solve for b.

b = c + 3000

b = 8500 + 3000

b = 11500

Answer: $8,500 in CDs; $11,500 in bonds

6 0

3 years ago

X2 + 5x - 50 A) (x + 25)(x - 2) B) (x - 5)(x + 10) C) (x - 10)(x + 5) D) (x + 2)(x - 25)

olga2289 [7]

Answer:

The correct answer is B) (x - 5)(x + 10)

Step-by-step explanation:

The constants at the end of the parenthesis need to add to the middle term

10 + -5 = 5

And they need to multiply to the end term

-5 * 10 = -50

This makes it the correct choice.

3 0

2 years ago

7 2/3-(-4 1/4)<br> calculate each diffrence.estimate before calculating

Hatshy [7]

Answer:

11 11/12

Step-by-step explanation:

its approximately 12

8 0

3 years ago

Find the amount in an account if 7,650 is invested at 9.15 percent compounded quarterly for 8 years and 6 months

storchak [24]

We have been given that in an account an amount of 7,650 is invested at 9.15 percent compounded quarterly for 8 years and 6 months.

We will use compound interest formula to find our answer.

$A=Pcdot(1+\frac{r}{n}) ^{nT}$ ,

Where, P= principle amount, A= amount after T years, n= period of compounding and r = interest rate (decimal).

Let us substitute our given values in our formula.

$A=7650(1+\frac{0.0915}{4} )^{(8.5\times4)}$

$A=7650(1+0.022875)^{34}$

$A=7650(1.022875)^{34}$

$A=7650\cdot 2.15758136398$

$A=16505.4974$

Therefore, after 8 years and 6 months our amount will be 16505.497.

7 0

3 years ago

Expand and simplify (x+3)²

Ivenika [448]

Answer:

Step-by-step explanation:

expand and simplify (x+3)²

(x+3)² =

x² + 9 + 2 × x × 3 =

x² + 9 + 6x

7 0

3 years ago

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