Complete the table of values

Answers

Answer 1

Answer: Both problems give you a function in the second column and the x-values. To find out the values of a through f, you need to plug in those x-values into the function and simplify!

You need to know three exponent rules to simplify these expressions:
1) The negative exponent rule says that when abase has a negative exponent, flip the base onto the other side of thefraction to make it into a positive exponent. For example, $3^(-2) =(1)/(3^(2) )$ .
2) Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example, $((3)/(4)) ^(3) = ( 3^(3) )/(4^(3) )$ .
3) The zero exponent rule says that any numberraised to zero is 1. For example, $3^(0) = 1$ .

Back to the Problem:
Problem 1
The x-values are in the left column. The title of the right column tells you that the function is $y = 4^(-x)$ . The x-values are:
1) x = 0
Plug this into $y = 4^(-x)$ to find letter a:
$y = 4^(-x)\ny = 4^(-0)\ny = 4^(0)\ny = 1$

2) x = 2
Plug this into $y = 4^(-x)$ to find letter b:
$y = 4^(-x)\n y = 4^(-2)\n y = (1)/(4^(2)) \n y= (1)/(16)$

3) x = 4
Plug this into $y = 4^(-x)$ to find letter c:
$y = 4^(-x)\n y = 4^(-4)\n y = (1)/(4^(4)) \n y= (1)/(256)$

Problem 2
The x-values are in the left column. The title of the right column tells you that the function is $y = ((2)/(3))^x$ . The x-values are:
1) x = 0
Plug this into $y = ((2)/(3))^x$ to find letter d:
$y = ((2)/(3))^x\ny = ((2)/(3))^0\ny = 1$

2) x = 2
Plug this into $y = ((2)/(3))^x$ to find letter e:
$y = ((2)/(3))^x\n y = ((2)/(3))^2\n y = (2^2)/(3^2)\ny = (4)/(9)$

3) x = 4
Plug this into $y = ((2)/(3))^x$ to find letter f:
$y = ((2)/(3))^x\n y = ((2)/(3))^4\n y = (2^4)/(3^4)\n y = (16)/(81)$

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Answers:
a = 1
b = $(1)/(16)$
c = $(1)/(256)$
d = 1
e = $(4)/(9)$
f = $(16)/(81)$

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Is 5.33 a rational number

Answers

Yes it's rational because it is a fraction 5.33/100

1/2 = ?/10

PLEASE PLEASE HELP!!!!!!!!!!!!!!

Answers

Ok, what I do is double or do × 2 to the numerator and the denominator so since they already put the 10 as a denominator, I am going to see ___ ×2=10 and to figure that out I am going to see how many times 2 goes in to 10 so it goes in there 5 times so 5×2=10 and now, I am going to do the same thing with my numerator to find out what the ? equals to so 5 × 1 ( which 1 is the numerator of 1/2) equals 5, so 1/2 is equal to 5/10

10 divided by 2 is 5.
so do 5 times 1. that is 5 your answer is 5/10

A baker was going to arrange 432 desserts into rows of 28. The baker divides 432 by 28 and gets a quotient of 15 with remainder of 12. Explain what the quotient and remainder represent

Answers

The quotient of 15 represent the number of desserts in each row

The remainder represent the rest of the dessert does not meet the 29th line (only 12 from 15)

Further explanation

The division operation is one of the basic arithmetic operations

Common signs used are $\boxed{:}}$ or $\boxed{\slash}}$

The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel

The division is actually an iterative subtraction operation (as many as the number of divisors)

Division is the opposite of multiplying

The general form of division can be stated by:

$\boxed{\bold{divident:divisor=quotient+remainder}}$

example:

7: 3 = 2 + 1

7 = dividend
3 = divisor
2 = quotient
1 = remainder

The form of division can also be expressed in terms of fractions

In the number above, the form of fraction obtained is the form of mixed fractions

Mixed fractions consist of integers and ordinary fractions

mixed fractional form :

$\displaystyle {2(1)/(3)$

Mixed fractions can be expressed as ordinary fractions :

$\displaysyle {=(7)/(3) }$

Division operation statement:

"7 divided by 3 equals 2 remainder 1"

When dividing 432 desserts into rows of 28, the baker finds a quotient of 15 with a remainder of 12

Division operation statement:

"432 divided by 28 equals 15 remainder 12"

The arithmetic operations :

432 : 28 = 15 + 12

It means :

1. there are 28 rows

2. each line has 15 desserts

3. there is leftover dessert on the 29th row that only has 12 desserts

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percent of 19.5 is 70.59

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Keywords: division, fraction, the baker, desserts

X^2 +105x-1050=1550

please help

Answers

-x^2+105x-1050=1550
We move all terms to the left:
-x^2+105x-1050-(1550)=0
We add all the numbers together, and all the variables
-1x^2+105x-2600=0
a = -1; b = 105; c = -2600;
Δ = b2-4ac
Δ = 1052-4·(-1)·(-2600)
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
x1=−b−Δ√2ax2=−b+Δ√2a
Δ−−√=625−−−√=25x1=−b−Δ√2a=−(105)−252∗−1=−130−2=+65x2=−b+Δ√2a=−(105)+252∗−1=−80−2=+40

x equals 2588 over 105 which simplifies to 24.6

Which statement about the polynomial function in this graph is true