solve
[tex] {49}^{x} = {7}^{3} [/tex]
please help​

Answer:

Step-by-step explanation:

The standard form of this exponential function is

[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth rate. Our initial value is 490 and our growth rate is .2 so the equation is

[tex]y=490(.2)^x[/tex]

[tex]$f(x)+f(x+1) \stackrel{1}{=} 3^x+3^{x+1} \stackrel{2}{=} 3^x+3^x\cdot3^1\stackrel{3}{=}3^x+3\cdot3^x\stackrel{4}{=}4\cdot3^x\stackrel{5}{=}4\cdot f(x)[/tex]

1) Substitution from definition.

2) We use [tex]$x^{a+b}=x^a\cdot x^b[/tex]

3) We are changing the order of 3 and [tex]3^x[/tex].

4) We add 1 and 3 [tex]3^x[/tex] and we get [tex]4\cdot 3^x[/tex]

5) Substitution from definition (but the other way than at the beginning).

Answer:

0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

-2 + 2 = 0

500 at 40 each = £20000

To make a profit he needs to make more than £20000

20 broke so he sold 500-20 = 480 at 45 each.

480 x 45 = 21600

Profit = 21600 -20000 = 1600

His profit was £1,600

Answer:

There was 9 oranges and 12 apples in the original basket

Step-by-step explanation:

3:4

9:12

subract 6 oranges and add 6 apples

3:18

divide by 6

1:6

Answer:

The sum of the larger and smaller number is 15.

Step-by-step explanation:

Let x = smaller number

Let y = larger number

Set up a system of equations.

2y - x = 21

2y + x = 27

Add the two equations together to cancel out x

4y = 48

Divide both sides by 4

y = 12

Plug value into either equation to find x

2(12) - x = 21

24 - x = 21

x = 3

12 + 3 = 15

9514 1404 393

Answer:

  no

Step-by-step explanation:

The expression 2·4 has the value 8.

The expression 8x has the value 8x, which is only equal to 8 when x=1. In general, x may have any value, so the expressions are not equal.

Answer:

D. linear; y = –x – 1

Step-by-step explanation:

Linear; y=-x - 1

The slope is negative since it’s decreasing. So it’s not the first equation. It’s not a quadratic equation because there is no forming U shape for this data. It’s not a exponential function because the slope is not 3 and a exponential function is in the form y=a(b)^x

Answer:

The correct answer is D) linear; y = –x – 1

Step-by-step explanation:

To find this, use any values in the table and it will produce a true statement. This is how we check to see if a model is correct. See the two examples below for proof.

(4, 5)

y = -x - 1

-5 = -4 - 1

- 5 = -5 (TRUE)

(0, -1)

y = -x - 1

-1 = 0 - 1

-1 = -1 (TRUE)

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{9 + x + 1 + 2x}[/tex]

[tex]\huge\text{= 9 + 1x + 1 + 2x}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\huge\text{= (9 + 1) + (1x + 2x)}[/tex]

[tex]\huge\text{= 10 + 3x or 3x + 10}[/tex]

[tex]\huge\text{Answer: \textsf{3x + 10}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Hi! I'm happy to help!

First, we need to get our two equations, so we need to look at what facts we have throughout the equation. It tells us that x is 3 times as much as y. We can use this to write our first equation:

3y=x

All of the interior angles inside of a triangle add up to 180°, and because we already have 3 angles, we can use this information to make our second equation:

x+y+45=180

Now, we have to use these equations together to get our answer.

Since we can replace 3y for x (first equation) we can replace it in our second equation:

3y+y+45=180

We edit both sides of the equation in the same way to get the same outcome, but to simplify. Since we are solving for y, let's isolate it by subtracting 45 from both sides:

3y+y+45=180

       -45  -45

3y+y=135

Let's combine the 3y and y to make things simpler:

4y=135

From here, we divide both sides by 4, to isolate y:

y=33.75

Now that we have our y value, we can use our first equation to solve for x:

3y=x

3(33.75)=x

101.25=x

We used our equations to get both our x and y values: 33.75, and 101.25.

I hope this was helpful, keep learning! :D

Answer:

y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina

Step-by-step explanation:

Answer:

PQ measures 36 units.

Step-by-step explanation:

Line RS bisects segment PQ at R. By the definition of a bisector:

[tex]\displaystyle PR = RQ[/tex]

Hence:

We are given that RQ = x + 9 and RP = 2x, and we want to determine PQ.

Solve for x. Substitute:

[tex]\displaystyle (2x) = (x+9)[/tex]

Hence:

[tex]\displaystyle x = 9[/tex]

PQ is given by:

[tex]\displaystyle PQ = PR + RQ[/tex]

Since PR = RQ:

[tex]\displaystyle PQ =2PR[/tex]

Substitute and evaluate:

[tex]\displaystyle \begin{aligned} PQ &= 2PR \\ &= 2(2x) \\ &= 4x \\ &= 4(9) \\ &= 36 \end{aligned}[/tex]

Hence, PQ measures 36 units.

Answer:

485 bro just do it with calculator

Step-by-step explanation:

10×n-15

10×50-15

485

Answer:

12,000.

Step-by-step explanation:

First term = 10(1) - 15 = -5

50th term = 10(50) - 15 = 485

Sum of 50 terms = (50/2)(-5 + 485)

= 25 * 480

= 12,000

Step-by-step explanation:

I dunno what your question ask,and I think maybe you want the formula?

Answer:

area= 9 pi km²

circumference= 6 pi km

Step-by-step explanation:

area = pi r ²

so pi × 3²

area = 9 pi km²

circumference = d × pi

so 6 pi km

Welcome to Brainly! I'm happy to help!

We see that there are 1,610 meters in a mile. However, we are looking for millimeters, not meters. But, knowing the meters will help us out.

A millimeter is a very small measurement. There are 1,000 millimeters in 1 meter. A meter is much larger. So, if we want to convert 1,610 meters to millimeters, there are going to be way more millimeters because they are so minute.

This means that we will have to multiply. We know that there are 1,000 millimeters in 1 meter, so if we multiply our meters by 1,000 (which is basically just adding 3 zeros), we will get the number of millimeters in one mile!

1,610×1,000=1,610,000 (one million six hundred and ten thousand!)

Don't forget that we are looking for 3 miles though, so we can take the number of millimeters in one mile and multiply by three.

1,610,000×3=4,830,000 (four million eight hundred and thirty thousand!)

So, Tobias ran 4,830,000 millimeters!

Have a wonderful day and keep on learning! :D

Answer:

First choice is the right answer (-∞, -9] or (2, ∞)

Step-by-step explanation:

I. Solve 1st problem 2(2x - 1)  > 6

                 4x-2 > 6

                 4x > 6+2

                  x > 2

II. Solve 2nd problem x + 3 <=  -6

                 x <= -6-3

                 x <= -9

III. Prove the answer

         if x > 2 then x = 3

          2( 2(3)-1 ) > 6

          2(5) > 6

           10 > 6  so the answer is true

         if x <= -9 then x = -9

           -9 + 3 <= -6

                  -6 <= -6 so the answer is true

Hope that help :D

Answer:

(7/12) + (4q/6)

Step-by-step explanation:

[tex] \frac{11}{12} - \frac{1}{6} q + \frac{5}{6} q - \frac{1}{3} \\ = \frac{11}{12} + \frac{4}{6} q - \frac{1}{3} \\ = \frac{11}{12} - \frac{1}{3} + \frac{4}{6} q \\ = \frac{11}{12} - \frac{4}{12} + \frac{4}{6} q \\ = \frac{7}{12} + \frac{4}{6} q[/tex]

Answer:

Step-by-step explanation:

Like terms have same variable with same power.

(11/12  and 1/3 are like terms)  & (-1q/6 & 5q/6 are like terms}

[tex]\dfrac{11}{12}-\dfrac{1}{6}q+\dfrac{5}{6}q-\dfrac{1}{3}=(\dfrac{11}{12}-\dfrac{1}{3})-\dfrac{1}{6}q+\dfrac{5}{6}q\\\\=(\dfrac{11}{12}-\dfrac{1*4}{3*4})+[\dfrac{-1+5}{6}]q\\\\=(\dfrac{11}{12}-\dfrac{4}{12})+\dfrac{4}{6}q\\\\=\dfrac{(11-4)}{12}q+\dfrac{4}{6}q\\\\=\dfrac{7}{12}+\dfrac{4}{6}q[/tex]

Answer:

r = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given the proportional equation

y = rx ← r is the constant of proportion

Divide both sides by x

[tex]\frac{y}{x}[/tex] = r

Use any ordered pair from the table.

Using (8, 2 ) , then

r = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

1/4

Step-by-step explanation:

Multiplying the input (x) by (1/4) results in the output.  This is direct proportion, and the constant of proportionality is (1/4).

Let Terry Saved be T dollars .

The Expression will be

[tex]\\ \rm\longmapsto Sala+Terry=\$10.00[/tex]

[tex]\\ \rm\longmapsto D+T=\$10.00[/tex]

Answer:

T = 10 - S

Step-by-step explanation:

The only useful information is that  they saved $10 together. We are just going to add the money Sala and Terry saved to equal 10.

S + T = 10

They want an expression for how much Terry saved so we can solve for T.

T = 10 - S

Best of Luck!

Answer:

4

......................

Answer:

No, they are not proportional. 3/5 with equal out to 15/25 by using the method of Least Common Denominator!

Step-by-step explanation:

Hope this helps :)

Answer:

Rate =interest*100/principal*time

Rate = 7.5%

Step-by-step explanation:

At 7.5 % annual rate of interest did she invest her money.

The percentage usually on an annual basis that is paid by the borrower to the lender for a loan of money is called rate of interest.

Given

Principal P = $10800

Time t = 4 years

I = 3240

Interest = [tex]\frac{P\times r \times t}{100}[/tex]

[tex]3240 = \frac{10800\times r \times 4}{100}[/tex]

[tex]r= \frac{3240\times 100}{10800\times 4}[/tex]

r = 7.5 %

At 7.5 % annual rate of interest did she invest her money.

Find out more information about rate of interest here

https://brainly.com/question/13324776

#SPJ2

Step-by-step explanation:

4-2x+8/3 = 6x+15/2

12-2x+8/3= 6x+15/2 ( taken LCM. of 1,3,3 in LHS)

20-2x/3=6x+15/2

Do cross multiplication

2(20-2x) = 3(6x+15)

40-4x=18x+45

-4x-18x=45+40

-22x= 85

-x= 85/22

x= - 3.86..

hope it helps

Answer:

$475.20

Step-by-step explanation:

all step by step procedure is available in picture below.

Answer: 20

Step-by-step explanation: 20x4=80. 56+24=80