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3 years ago

Find the values for a and b that would make the equality true. 4(ax^2 -5x+3)=8x^2 +bx+12

Mathematics

2 answers:

tankabanditka [31]3 years ago

5 0

Answer:

a 2 and b -20

Step-by-step explanation:

yawa3891 [41]3 years ago

4 0

Answer:

a = 2 and b = -20

Step-by-step explanation:

4(ax^2 -5x+3)=8x^2 +bx+12 should be multiplied out. Next, we equate the coefficients of the several powers of x:

4ax² - 20x + 12 = 8x² + bx + 12

Then 4a = 8, so a = 2

and -20 = b

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Prove 2^n > n for all n equal to or greater than 1. I mostly need help with how to solve the problem when it is greater than

noname [10]

If $n$ is an integer, you can use induction. First show the inequality holds for $n=1$ . You have $2^1=2>1$ , which is true.

Now assume this holds in general for $n=k$ , i.e. that $2^k>k$ . We want to prove the statement then must hold for $n=k+1$ .

Because $2^k>k$ , you have

$2^{k+1}=2\times2^k>2k$

and this must be greater than $k+1$ for the statement to be true, so we require

$2k>k+1$

for $k>1$ . Well this is obviously true, because solving the inequality gives $3k>1\implies k>\dfrac13$ . So you're done.

If you $n$ is any real number, you can use derivatives to show that $2^n$ increases monotonically and faster than $n$ .

7 0

3 years ago

A total of 5000 is invested part at 10% and the remainder at 15%. How much is invested at Each rate if the annual interest is $6

vekshin1

Answer:Let the amount invested in each be

A and B

A+B=5000

0.1A+0.15B=630

0.1(5000-B)+0.15B=630

500-0.1B+0.15B=630

0.05B=130

B=2600

A=2400

Step-by-step explanation:

3 0

3 years ago

What is the product of -3 and 5<br><br>it's on engenuity so I need answer

Katarina [22]

Answer.........

-15

.______.

8 0

3 years ago

Read 2 more answers

CONSTRUCTION Carlos is building a screen door. The height of the door is I foot more than twice its width. What is the width of

-BARSIC- [3]

Answer:

<h2>width = 3 feet</h2>

Step-by-step explanation:

Let h be the height of the door

and w be its width

The statement “The height of the door is I foot more than twice its width”

can be translated mathematically like this : h = 2w + 1

Let’s solve the equation for w:

h = 2w + 1

⇔ 2w = h - 1

$\Leftrightarrow w=\frac{h-1}{2}$

now , if the door is 7 feet high then it’s width is equal to :

$\Rightarrow \frac{7-1}{2} =\frac{6}{2} =3 \ ft$

6 0

2 years ago

Read 2 more answers

The decimal form of a fraction is called a what

Yuri [45]

Answer:

Hello Adam here!

Step-by-step explanation:

The numbers that are represented by decimal numerals are the decimal fractions (sometimes called decimal numbers), that is, the rational numbers that may be expressed as a fraction whose denominator is a power of ten.

Hope This Helps From, Adam :)

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3 years ago