Ask question

Ask question

All categories

3 years ago

7

Someone please explain how the GCF of x^4 and x^3 equals x^3. This has me stumped.

1 answer:

Ede4ka [16]3 years ago

8 0

GCF is the greatest common factor. its the value of the factors that are common to both the numbers being compared. In other words the product of the factors that are common to both numbers or the greatest factor common to both numbers.
factors of x⁴ = x * x * x * x = (x * x * x) * x
factors of x³ = x * x * x = (x * x * x)
factors common to both are (x * x * x) Therefore GCF is x³

You might be interested in

Maureen earned some money doing odd jobs last summer and put it in a savings account that earns 9% interest compounded quarterly

ivolga24 [154]

Answer:

Maureen earned $123.19 doing odd jobs

Step-by-step explanation:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

Compounded quarterly means that $n = 4$

10 years, so $t = 10$

9% interest, so $r = 0.09$

There is $300.00 in the account, which means that $A = 300$

How much did Maureen earn doing odd jobs?

This is P.

$A(t) = P(1 + \frac{r}{n})^{nt}$

$300 = P(1 + \frac{0.09}{4})^{4*10}$

$(1.0225)^{40}P = 300$

$P = \frac{300}{(1.0225)^{40}}$

$P = 123.19$

Maureen earned $123.19 doing odd jobs

5 0

3 years ago

How am I supposed to set up a problem like this:<br> y= x-8<br> y= 3x

Brums [2.3K]

Answer:

x = - 4

y = - 12

Step-by-step explanation:

x - 8 = 3x

- 8 = 3x - x

2x = - 8

x = - 4

y = 3x = 3(-4) = - 12

5 0

3 years ago

Today, the sum of the ages of Bea and her sister is 18. What would be the sum of their ages next year?

Nady [450]

Hello,

Let's assume a the age of Bea
b the age of her sister

This year: a+b=18

Next year (a+1)+(b+1)=(a+b)+(1+1)=(a+b)+2=18+2=20

6 0

3 years ago

Read 2 more answers

bulgar [2K]

Answer:

Step-by-step explanation:

3x^2 - 4x - 2 = 0

4/6 <u>+</u> (sqrt(16 - 4(3)(-2)))/6

2/3 <u>+</u> (sqrt(16+24))/6

2/3 <u>+</u> (sqrt(40))/6

2/3 <u>+</u> 2(sqrt(10)/6

2/3 <u>+</u> (sqrt(10))/3

3 0

3 years ago

Read 2 more answers

You eat a 25° slice of your chocolate birthday cake. What is the volume

Marysya12 [62]

Answer:

848.23

Step-by-step explanation:

Step 1: Find Volume Of The The Cake

Volume = $\pi r ^{2} h$

Evaluate: ~848.23

Step 2: Find The Part The Was Eaten:

Full Circle: 360

Eaten = 25

Part: 25/360 = 14.4

Set 3: Find Volume Eaten:

14.4/848.23 = 58.90

8 0

2 years ago