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3 years ago

What does x equal? Please help

Mathematics

1 answer:

Norma-Jean [14]3 years ago

8 0

Answer:

x=-9

Step-by-step explanation:

$9^{2x-3}=27^{2x+4}\\(3^2)^{2x-3}=(3^3)^{2x+4}\\3^{2(2x-3)}=3^{3(2x+4)}\\3^{4x-6}=3^{6x+12}$

As the bases(3) are same,

we can conclude that the powers are equal.

Hence,

$4x-6=6x+12\\-6-12=6x-4x\\-18=2x\\x=-18/2\\x=-9$

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2 years ago

(3,6) (3,7) (-2,-5) (-9,11) is it a function a relation, or both

amid [387]

It is a relation but not a function

Step-by-step explanation:

Given

(3,6) (3,7) (-2,-5) (-9,11)

First of all we have to define both terms: Relation and Function

A relation is a set of ordered pairs containing one element from each set

A relation can be a function only if there is no repetition in domain i.e. no first element in each ordered pair should be repeated.

In the given set of ordered pairs, they are relation as all the ordered pairs have two values.

While the given relation is not a function, as there is repetition in first elements of two ordered pairs i.e. 3 is repeated in (3,6) (3,7)

Hence,

It is a relation but not a function

Keywords: Functions, Relations

Learn more about functions at:

#LearnwithBrainly

6 0

3 years ago

Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16 mph faster than Charlene. They meet in

Thepotemich [5.8K]

Answer:

34 mph.

Step-by-step explanation:

Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.

Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.

Now we will use formula $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$ . Upon using our given information we will get two equation and two unknowns as:

$x+16=\frac{420-y}{5}...(1)$

$x=\frac{y}{5}...(2)$

Upon substituting $x=\frac{y}{5}$ in 1st equation we will get,

$\frac{y}{5}+16=\frac{420-y}{5}$

Upon multiplying both sides of our equation by 5 we will get,

$5(\frac{y}{5}+16)=420-y$

$5\times\frac{y}{5}+5\times 16=420-y$

$y+80=420-y$

$y+80+y=420-y+y$

$2y+80=420$

$2y=420-80$

$2y=340$

$y=\frac{340}{2}$

$y=170$

Upon substituting y=170 in 2nd equation we will get,

$x=\frac{170}{5}$

$x=34$

Therefore, Charlene's speed is 34 miles per hour.

6 0

3 years ago

If three times a number minus 2 equals 13, what is the number?

Nana76 [90]

Change the messy words into numerals
3 times a number minus 2    equals    13
3 × n - 2 = 13

3n - 2 = 13
take 2 to the other side
3n - 2 + (2) = 13 + (2)
3n = 15

Divide by 3 on either sides to isolate n
$\frac{3n}{3}$ = $\frac{15}{3}$
3 and 3 cancels out

n = 5

check:
3 times 5 minus 2 equals 13
3   × 5 - 2 = 13
15 - 2 = 13
13 =    13

The number is 5

3 0

3 years ago