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Stella [2.4K]
3 years ago
12

Create a factorable polynomial with a GCF of 5z. Rewrite that polynomial in two other equivalent forms. Explain how each form wa

s created.
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0

Answer with explanation:

It is given that, G C F of two polynomials is 5 z.

We have to Write that two polynomials.

A=5 z² + 5 z =5× z× (z+1)

B=10 z + 5 z²=5×z×(z+2)

→→G C F ,of A and B=5 z

Now, writing polynomials in equivalent form

1.5 z² + 5 z =5× z× (z+1)=(z+1)×z×5=5 z + z²

2. 10 z + 5 z²=5×z×(z+2)=(z+2)×z×5=5 z² + 10 z

to write in equivalent form of above polynomials, we have used commutative property of addition ,and Multiplication ,which states that, A+B=B +A, and AB=BA.

And, Distributive property of multiplication with respect to addition and Subtraction.

1. A × (B +C)=A × B + A × C

2. A × (B -C)=A × B - A × C

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Claire traveled 701 miles. She drove 80 miles every day. On the last day of her trip she only drove 61 miles. Write and solve an
mina [271]

Answer:

Claire traveled for 9 days.

Step-by-step explanation:

Given:

Total Distance traveled = 701 miles

Distance traveled each day = 80 miles

Distance traveled on last day = 61 miles

We need to find the number of days Claire traveled.

Solution:

Let the number of days Claire traveled be denoted by 'd'.

Now we can say that;

Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.

framing in equation form we get;

80d+61=701

Now Subtracting both side by 61 using Subtraction Property of Equality we get;

80d+61-61=701-61\\\\80d = 640

Now Dividing both side by 80 we get;

\frac{80d}{80}=\frac{640}{80}\\\\d=8

Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total <u>9 days</u> of travel.

7 0
3 years ago
What is the answer to number 5
True [87]
4050 millilitres
because there are 6 people so 675 × 6
4 0
3 years ago
if you deposit $8000 into an account paying 9% annual interest compunded semi anually how long will it take for your money to do
Anna007 [38]

Answer:

7.87 years

Step-by-step explanation:

#First we determine the effective annual rate based on the 9% compounded semi annual;

i_m=(1+i/m)^m-1\\\\=(1+0.09/2)^2-1\\\\=0.09203

#We then use this effective rate in the compound interest formula to solve for n. Given that the principal doubles after 2 yrs:

A=P(1+i)^n\\\\A=2P, i=i_m\\\\16000=8000(1.09203)^n\\\\2=1.09203^n\\\\n=\frac{log \ 2}{log \ 1.09203}\\\\=7.87324\approx7.87 \ yrs

Hence, it takes 7.87 years for the principal amount to double.

4 0
3 years ago
Matthew has three brothers: Alex, Mark, and Luke. The sum of their three ages is 12. List all the different combinations of ages
daser333 [38]

Answer:

Step-by-step explanation:

Let Alex's age = x

Mark's age = y

Luke's age = a

x + y + z = 12

The possible combinations for their age are

1. 6, 3, 3

2. 3, 3, 6

3. 4,4, 4

4, 2, 2, 8

5. 8, 2, 2

6. 2, 8, 2

7. 9, 2, 1

Etc the age can keep going as long as you can find any three numbers and add them to give you 12

3 0
3 years ago
Solve the following problem:
earnstyle [38]

Answer:

x=6

Step-by-step explanation:

Step 1: Subtract 4x from both sides.

5x−3−4x=4x+3−4x

x−3=3

Step 2: Add 3 to both sides.

x−3+3=3+3

x=6

3 0
3 years ago
Read 2 more answers
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