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2 years ago

Which graph best represents the function f(x)=2x ?

Mathematics

1 answer:

yan [13]2 years ago

3 0

Answer:

Step-by-step explanation:

The best - well, only way- is to check a few points.

Namely -1 (unless your eyesight is really poor!), 0, 1, 2, and 3.

$f(x) = 2^x\\f(-1) = 2^-^1 = \frac12\\f(0) =2^0 =1\\f(1)= 2^1=2\\f(2)=2^2=4\\f(3)=2^3= 8$

Now you can mark all these points in each graph (well, you could if they were on paper and not on a screen) and see which one of the lines passes through all of them. Spoiler alert, it's the B graph.

A represents $2(2^x) = 2^{x+1}$ , B is the one you want, C is $\frac{2^x}2 = 2^{x-1}$ and D looks like $4^x = 2^2^x$

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6 times the sum of 3 consecutive odd intergers is -18

Lyrx [107]

The answer: The 3 (three) consecutive odd integers are: -3, -1, 1.
_____________________________________________
Explanation:
_______________
To represent 3 (three consecutive odd integers):
____________________________________
Let "x" be the first odd integer.
____________________________________
Let "(x+2)" be next consecutive odd integer.
____________________________________
Let "(x+4") be the third odd integer.
____________________________________
The sum of these three consecutive odd integers:
__________________________________________
x + (x + 2) + (x + 4) = x + x + 2 + x + 4 = 3x + 6 ;
_________________________________________
Six ("6") times the sum of these 3 (three) consecutive odd integers =
_________________
6*(3x+6) = 6(3x + 6) = -18 (as given in the problem).
_____________________________________________
Given: 6(3x + 6) = -18 ; We can divide EACH SIDE of the equation by "6", to cancel the "6" on the left-hand side into a "1";
__________________________________________
{6(3x + 6) } / 6 = -18 / 6 ; to get:
________________________________________
3x + 6 = -3 ; Now, we can subtract "6" from EACH SIDE of the equation:
__________________________________
3x + 6 - 6 = -3 - 6 ; to get:
__________________________________
3x = -9 ; Now, we can divide EACH SIDE of the equation by "3"; to isolate "x" on one side of the question; and solve for "x" ;
___________________________________
3x / 3 = -9 / 3 ; x = - 3 ;
_____________________
Remember, from above:
__________________________
Let "x" be the first odd integer. We know that "x = -3".
Is this an odd integer? Yes!
____________________________________
Let "(x+2)" be next consecutive odd integer. So (x+2) = (-3+2) = -1.
Is this an odd integer? Yes! Is this "{-1}" the next consecutive odd integer with respect to "{-3}"? Yes!
____________________________________
Let "(x+4") be the third odd integer. So (x+4) = (-3+4) = 1.
Is this an odd integer? Yes! Is this "{1"} the next consecutive odd integer with respect to "{-1}"? Yes!
___________________________
So, our 3 (three) consecutive odd integers are: -3, -1, 1.
___________________________
To check our work: Is 6 times the sum of our 3 consecutive odd integers, equal to "(-18)" ?

The sum of our 3 consecutive odd integers = -3 + (-1) + 1 = -3 - 1 + 1 = -3.

6 * -3 = ? -18? Yes!
___________________________

3 0

3 years ago

2/5 ÷ 22/35 <br>simplify

Sliva [168]

Answer:

7/11 (Simplified Already)

Step-by-step explanation: 25÷2235=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

25×3522=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

2×355×22=70110

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 70 and 110 using

GCF(70,110) = 10

70÷10110÷10=711

Therefore:

25÷2235=711

Solution by Formulas

Apply the fractions formula for division, to

25÷2235

and solve

2×355×22

=70110

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(70,110) = 10

70÷10110÷10=711

Therefore:

2/5÷22/35=7/11

6 0

3 years ago

Read 2 more answers

How do you solve (x+4)2 ?

Savatey [412]

Answer:

find the value of x or do

(4x)2

Step-by-step explanation:

Daily fact:Noah's Ark is the vessel in the Genesis flood narrative through which God spares Noah, his family, and examples of all the world's animals from a world-engulfing flood. The story in Genesis is repeated, with variations, in the Quran, where the Ark appears as Safinat Nūḥ and al-fulk.

8 0

3 years ago

Read 2 more answers

3/7 to 6/7. what is the percent of change

stepan [7]

Percent change = (new - old)/old * 100
(6/7 - 3/7)/(3/7) * 100
3/7 * 7/3 * 100
1 * 100
100%

4 0

3 years ago

Read 2 more answers

A salesman is carrying a big bag for selling a machine. In addition to the machine that the salesman wants to sell, there is som

stira [4]

The total weight of the bag that the salesman is carrying for selling a machine including some personal stuff is 13.9 Kg.

<h3>What is a fraction?</h3>

A fraction is a rational number that consists of a numerator and a denominator, used to represent a part of the whole thing.

<h3>Calculation:</h3>

It is given that,

A salesman is carrying a big bag for selling a machine.

Consider the weight of the machine = w

So,

The weight of his machine is three kilograms and half a machine. I.e.,

w = 3kg +w/2

⇒ w/2 = 3kg

∴ w = 6kg

Thus, the weight of the machine is 6 Kg.

So, the weight of the repair tool for the machine = a half kilogram and one-fourth of the machine

⇒ 1/2Kg + 1/4w

⇒ 1/2 + 6/4

⇒ 2 Kg

The personal stuff weighs - four kilograms minus a fourth of the weight of the machine.

⇒ 4Kg - w/4

⇒ 4 - 6/4

⇒ 2.5 Kg

He has some supplies that weigh two-fifth of the machine and personal stuff combined.

⇒ 2/5(w + 2.5)

⇒ 2/5 × 8.5

⇒ 3.4 Kg

Thus, the total weight of the bag = 6 Kg + 2 Kg + 2.5 Kg + 3.4Kg = 13.9Kg.

Therefore, the total weight of the salesman's bag is 13.9 Kg.

Learn more about fractions here:

brainly.com/question/78672

#SPJ4

7 0

1 year ago