Matthew​ ​had​ ​overdrawn​ ​his​ ​account​ ​by​ ​$25.62​ ​over​ ​the​ ​weekend​ ​so​ ​his​ ​bank​ ​charged​ ​him​ ​a $45​ ​overdraft​ ​fee.​ ​What​ ​is​ ​his​ ​balance​ ​now?

I dont even know how to start answering that last question...

Answer:

Step-by-step explanation:

The same bases (9) needs the same exponents to be equal:

[tex]\big9^{2x + 1}=\big9^{3x-2}\quad\iff\quad 2x+1=3x-2\\\\2x+1=3x-2\\\\2x-3x=-2-1\\\\-x=-3\\\\x=3[/tex]

The computation of the indices show that the value of x in 9^(2x + 1) = 9^(3x – 2) is 3.

From the information given, we are told to simply solve 9^(2x + 1) = 9^(3x – 2). In this case, the exponents given are equal which is 9.

Therefore, 2x + 1 = 3x - 2

Collect like terms

3x - 2x = 1 + 2

x = 3

Therefore, the value of x is 3.

Learn more about indices on:

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Answer:

x=25/3 & y=125/3

Step-by-step explanation:

Let first number be x

Second number be y

x+y=50

y=5x

=>x+5x=50

=>6x=50

=>x=50/6

=>x=25/3

Step-by-step explanation:

Let the first side is x, second side is (x+1) and the third sie is (x+2). The perimeter of the triangle is 114 cm.

It means,

x+x+1+x+2=114

3x+3=114

3(x+1)=114

x+1=38

x=37

So, first side is 37 cm

Second side is 37+1=38 m

Third side is 37+2=39 m

Hence, this is the required solution.

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▹ Answer

8 - 3q

▹ Step-by-Step Explanation

19 - 4q + q - 11

Combine like terms in terms of q:

-4q + q = -3q

Combine like terms:

19 - 11 = 8

Final answer:

8 - 3q

Hope this helps!

CloutAnswers ❁

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Answer:

goo

Step-by-step explanation:

s = 2d / t

Multiply both sides by t

st = 2d

Divide both sides by 2

st / 2 = d

Answer:

7

Step-by-step explanation:

Basically when you add negative numbers, you subtract, if that makes sense.

Example:

If you have twelve apples, and then eat five of them, then you have seven left.

Answer:

The number of ways the bus can be filled is 28 ways

Step-by-step explanation:

The given parameters are;

The number of seats in the bus =  6

The number of passengers available = 8

The number of ways the bus can be filled involve the number of ways of selecting from the 8 passengers taking 6 at a time given as follows;

The combination of n items, taking n items, taking r at a time is [tex]_nC_r[/tex]  which can be given as follows;

[tex]_nC_r = \dfrac{n!}{r! \cdot (n - 1)}[/tex]

Therefore;

The number of ways the bus can be filled is therefore;

[tex]_8C_6 = \dfrac{8!}{6! \times (8 - 6)!}= \dfrac{8!}{6! \times 2!} = \dfrac{8 \times 7}{2 \times1} = 28 \ ways[/tex].

Answer:

x^2 - 2x - 13x + 26 = (x-2)(x-13)

Step-by-step explanation:

x^2 - 15x + 26 = x^2 - 2x - 13x + 26 = (x^2 - 2x) - (13x - 26)

= x(x-2) - 13(x-2) = (x-2)(x-13)

Answer:

The answer is -13.

Step-by-step explanation:

We get the smallest value of [tex]x[/tex] when [tex]x+1[/tex] is the most negative factor of 12, which is -12. Therefore,

                                                     [tex]x+1=-12\\x=\boxed{-13}[/tex]

Answer:

D

Step-by-step explanation:

In the phrase SOH - CAH - TOA, the SOH stands for "Sine = opposite / hypotenuse", hence, the answer would be 15 / 8.

Answer: for me the answer was 15/17

Step-by-step explanation:

Answer:

[tex] {b}^{2} + 5b - 14[/tex]

Step-by-step explanation:

By algebraic identity:

[tex](x + a)(x + b) = {x}^{2} + (a + b)x + ab \\ we \: have \\ (b - 2)(b + 7) \\ = {b}^{2} + ( - 2 + 7)b + ( - 2)7 \\ = {b}^{2} + 5b - 14[/tex]

Step-by-step explanation:

Hope it is helpful for you

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Answer:

Step-by-step explanation:

Examples: 4.121121112... For each square below, is the side length rational or irrational? A Blom A = 89 cm 1. What is the formula for the area of a...

Answer:

Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.

Step-by-step explanation:

From the information provided, you can write the following equations:

x+y=51000 (1)

0.04x+0.07y=2370 (2), where

x is the portion earning a simple interest rate of 4 percent per year

y is the portion earning a simple interest rate of 7 percent per year

First, you can isolate x in (1):

x=51000-y (3)

Now, you can replace (3) in (2) and solve for y:

0.04(51000-y)+0.07y=2370

2040-0.04y+0.07y=2370

0.03y=330

y=330/0.03

y=11000

Then, you can replace the value of y in (3) to find the value of x:

x=51000-11000

x=40000

According to this, the answer is that Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.

Answer:

2$ per candy bar

Step-by-step explanation:

21 - 3 = 18

18/9 = 2

Hopefully this helps you :)

pls mark brainlest ;)

Answer:

it is algebraic expression

Answer:

- 5

Step-by-step explanation:

Given

(- 2 × 2 - 6) ÷ 2

Evaluate the parenthesis performing the multiplication before subtracting.

= (- 4 - 6) ÷ 2

= - 10 ÷ 2

= - 5

Answer:

  7 1/2 days

Step-by-step explanation:

The carpenter can do 1/5 of the work in 1 day. The assistant, who takes 'a' days to do the work, can do 1/a of the work in 1 day. Together, they can do 1/3 of the work in 1 day:

  1/5 + 1/a = 1/3

  1/a = 1/3 -1/5 = 2/15

  a = 1/(2/15) = 15/2 = 7.5

The assistant takes 7.5 days to do the work alone.

Answer:

Yes

Step-by-step explanation:

Is [tex]34.223[/tex] greater than [tex]34.232[/tex]?

Let's compare these two decimals.

[tex]34.223[/tex]  ?  [tex]34.232[/tex]

It may look like [tex]34.232[/tex] is bigger but it actually isn't. The first thing you have to do is look at the last digit in the decimal.

In the first decimal([tex]34.223[/tex]), the last digit is 3. In the second decimal([tex]34.232[/tex]), the last digit is 2. 3 is bigger than 2 so the decimal that is greater is [tex]34.223[/tex].

Hope this helps!

Answer:

y=3

Step-by-step explanation:

Answer: Denominator ♥️

Step-by-step explanation:

Answer:

9) Domain: 0≤x≤6

Range: -3≤y≤3

10) Domain: -∞≤x≤∞

Range: -∞≤y≤∞

11) Domain: -∞≤x≤∞

Range: y≥-2

13) Domain: -∞≤x≤∞

Range: -2≤y≤4

Step-by-step explanation:

9) Domain: 0≤x≤6

Range: -3≤y≤3

10) Domain: -∞<x<∞

Range: -∞<y<∞

11) Domain: -∞<x<∞

Range: y≥-2

13) I think you need to look at this one again.  It looks like:

Domain: -∞<x<∞

Range: -2≤y≤4

it would be 1.............

Answer:

y=9x-45

Step-by-step explanation:

9x-y=45

-y=45-9x

y=9x-45

Answer:

Step-by-step explanation: just learn

Answer:

Step-by-step explanation:

Let's write an expression.

Let's say m is miles and h is hours.

[tex] 792m = 11h [/tex]

Simplify.

11 ÷ 11 = 1

792 ÷ 11 = 72

Let's rewrite our expression.

[tex]  72m = 1h [/tex]

Using this formula, you can solve anything! :)

Answer:

Hey there!

4 2/3 can be written as 14/3

The ones that represent a rational number are the fourth and fifth options.

Let me know if this helps :)