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3 years ago

Which equation supports the given conjecture?

Mathematics

1 answer:

Arada [10]3 years ago

6 0

It should've d because both numbers are odd and =even so the answer is D

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More Challenges:

kenny6666 [7]

Answer:

1. $-m(-8n^2-7n+1)$

2. $(2w+7c) (v+7c)$

5. (q+3r)(q^2-3qr+9r^2)

7. x= - 4/7, 1/9

See below for additional problems and help.

Step-by-step explanation:

To factor polynomials, look for patterns and greatest common factors. When you remove these factors, write the factor and what remains.

For example:

$8mn^2+7mn-m\\-m(-8n^2-7n+1)$

Notice the term $(-8n^2-7n+1)$ is left and is the term when the expression is divided by -m.

2. Factor by grouping is similar. Pull out factors within pairs of term. Separate the terms by parenthesis. If the quantities in the [parenthesis are the same, the factoring has been successful.

$(2vw + 7cv) + (14cw + 49c^2)\\v(2w+7c)+7c(2w+7c)$

Notice that (2w+7c) is the same. The factoring is complete. The factors are:

$(2w+7c) (v+7c)$

3 - 6 is similar using specific forms for factoring. To find the forms, look in your notes or at resources on online. Here is one example.

4. A sum of cubes has the form

$a^3 + b^3 = (a + b)(a^2 -ab + b^2)$ .

To use this form, take the cube root of each term. a = q and b=3r.

The factors are $(q+3)(q^2-3qr+9r^2)$

7-9 all involve factoring and then solving. You solve by setting the factors equal to 0.

7. (7x+4)(9x-1) = 0

(7x+4) = 0 (9x-1)=0

7x=-4 9x = 1

x= - 4/7 x = 1/9

3 0

3 years ago

I need help on this one please

TiliK225 [7]

Income tax is progressive

So with 50 000 we have :

0.02*3000 + 0.03 ( 5000 -3001) + 0.05 ( 17 000-5001) + 0.0575 ( 50 000 - 17 001) = 60+ 59.97+599.95 + 1897.44 = 2617.36

tax is = 2617.36

5 0

3 years ago

An amount of $40,000 is borrowed for 11 years at 7 5% interest compounded annually. If the loan is paid in full at the end of th

valina [46]

Amount to be paid back = $ 88,624.36

<u>Step-by-step explanation:</u>

Principal amount = $ 40,000

Rate of interest = 7.5%

Number of years = 11

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

Plugin the values as,

$A=40000\left(1+\frac{7.5}{100}\right)^{11}$

$A=40000(1+0.075)^{11}$

$A=40000(1.075)^{11}$

$A=\$ 88,624.36$

6 0

3 years ago

Someone pls help I will mark brainliest

vekshin1

C is the answer!! I hope this helps!!!

4 0

3 years ago

1. If a bicycle wheel has a diameter of 15 in. How far will the wheel rotate in 10 rotations?

WARRIOR [948]

Answer:

150 pi inches or 471.239 inches traveled

Step-by-step explanation:

First, close your eyes, and think about the distance a bike travels after one rotation of the wheel.

You will come to the realization that a full rotation of the wheel makes you travel the circumference of the wheel

The formula for circumference is 2(pi)(r) or (pi)(diameter)

We are given diameter, so let's find distance traveled for one rotation

pi(15 inches) = 15pi inches per rotation.

There are 10 rotations, so:

(15pi inches/rotation)(10 rotations) = 150pi inches travelled

150 x pi = 471.239 inches traveled

4 0

3 years ago