Using a Table of Values to Find a Solution to a System

a) Complete the table below to solve the equation 2.5x-10.5=64(0.5)x.

x f(x)=2.5x-10.5 g(x)=64(0.5)x
2
3
4
5
6




b) Give the solution for the equation:

Answer:i used a calculator 12000

Step-by-step explanation:12 × 10 × 10 × 10 = 12000

and have a nice Day :)

Answer:

12000

Step-by-step explanation:

If you multiply 12 by 10 its 120, if you add 2 more 0's to the end of the number, it will be 12000, so, basically, any time you multiply a number by 10, you add a 0 to the end of the number your multiplying 10 by, hope this helps:)

Answer:

x = -17

Step-by-step explanation:

y - y1 = m(x - x1)

y - 3 = 1/5(x - (-2))

y - 3 = 1/5(x + 2)

y - 3 = 1/5x + 0.4

y = 1/5x + 0.4 + 3

y = 1/5x + 3.4

Now we plug in y as 0 to find x

y = 1/5x + 3.4

(0) = 1/5x + 3.4

-3.4 = 1/5x + 3.4 - 3.4

-3.4 = 1/5x times 5

-3.4 times 5 = x

-17 = x

Answer:

Step-by-step explanation:

If we know the slope, we can solve for an unknown coordinate. First, let's review how to calculate slope.

Slope = Rise/Run (Change in y/Change in x)

In this case, we know the slope, so we will write out the slope formula. We will use the substitution method to solve this.

m = rise/run

rise = y2- y1 substituting ----> 3 - 0 = 3

run = x2 - x1 substituting ----> -2 - x = run

Now, we can return to the slope formula, as we now have enough information to solve.

1/5 = 3/R

To solve, we simply need to find the equivalent fraction of 1/5. We will use a proportion.

1R = 5 x 3

R = 15

Now that we know R, we can substitute it into the equation for run.

So, we now have:

15 = -2 - x

Subtracting -2 from both sides, gives us x = -17.

Finally, we must check our answer to make sure we are getting the correct slope when we calculate.

m = (3 - 0)/(-2 - -17)

m = 3/15 OR 1/5

Since. this matches the original slope we were given, we can be sure the answer is correct.

Answer: 32

Step-by-step explanation: 45wheeej5t

Answer: 21 1/2

Step-by-step explanation:

12 9/10 + 8 3/5 = 21 1/2

hope this helps!

Answer:[tex] \huge{ \boxed{ \bold{ \tt{ x = - 2}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 6x + 13 = - 5(7 + 6x) }[/tex]

Distribute -5 through the parentheses

[tex]\longrightarrow{ \sf{ - 6x + 13 =  - 5 \times 7  + ( - 5 )\times 6x}}[/tex]

[tex]\longrightarrow{ \sf{ - 6x  + 13 =  - 35 + ( - 30x)}}[/tex]

[tex] \text{Remember} : \sf{( + ) \times ( - ) = ( - )}[/tex]

[tex]\longrightarrow{ \sf{ - 6x + 13 =  - 35 - 30x}}[/tex]

Move 30x to left hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 6x + 30x + 13 = - 35}}[/tex]

Move 13 to R.H.S ( Right Hand Side ) and change it's sign[tex] \longrightarrow{ \sf{ - 6x + 30x= - 35 - 13}}[/tex]

Combine like terms

[tex] \longrightarrow{ \sf{24x = - 35 - 13}}[/tex]

The negative integers are always added but posses the negative ( - ) sign.[tex] \longrightarrow{ \sf{24x = - 48 }}[/tex]

Divide both sides by 24

[tex] \longrightarrow{ \sf{ \frac{24x}{24} = \frac{ - 48}{24}}} [/tex]

Dividing a negative integer by a positive integers gives a negative integer.

[tex]\longrightarrow{\sf{x = -2 }}[/tex]

-----------------------------------------------------

L.H.S = -6x + 13

Plug the value of x and simplify

[tex] \longrightarrow{ \sf{ - 6 \times ( - 2) + 13}}[/tex]

Multiplying negative integers by a negative integer gives a positive integer.

[tex] \longrightarrow{ \sf{ 12 + 13}}[/tex]

Add the numbers : 12 and 13

[tex] \longrightarrow{ \sf{25}}[/tex]

R.H.S = -5 ( 7 + 6x )

plug the value of x and simplify

[tex] \longrightarrow{ \sf{ - 5(7 + 6 \times ( - 2)}})[/tex]

Multiplying a positive integer by any negative integer gives a negative integer.

[tex] \longrightarrow{ \sf - 5(7 + ( - 12)}[/tex]

[tex]\longrightarrow{\sf{-5(7 - 12)}}[/tex]

Subtract 12 from 7

[tex] \longrightarrow{ \sf{ - 5 \times ( - 5)}}[/tex]

[tex]\longrightarrow{\sf{25}}[/tex]

L.H.S = R.H.S

The value of x is -2 .

Hope I helped!

Best regards!

~TheAnimeGirl

Answer:

- 4/15

Step-by-step explanation:

The  - and - make a + so -2/3 + 2/5

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Answer:

-13ºC

Step-by-step explanation:

The temperature has fallen, so you subtract.

Answer:

1. 0.08703 killograms

2. Decameters

3. Liters

Step-by-step explanation:

convert.

Answer:

-46

Step-by-step explanation:

Answer:

478miles

Step-by-step explanation:

32=1gallons 32×15 = 510miles

15g

510- 32= 478miles

Answer:

The answer and explanation  is located in the screenshot.

Step-by-step explanation:

Hope this helped! And have a wonderful day!

Answer:

the aswer is A

Step-by-step explanation:

Answer:

D. -4,1,7,15

Step-by-step explanation:

Range is the y axis

Answer:

616

Step-by-step explanation:

Answer:

y = 69

Step-by-step explanation:

start with the distributive property:

5/9 * y and 5/9 * 3

and now you have: 5/9y + 15/9 = 40

and we have to isolate y so subtract 15/9 from both sides:

5/9y + 15/9 = 40

        - 15/9     -15/9

and now you have 5/9y = 345/9

and now divide both sides by 5/9 so: 5/9y divided by 5/9 = y

and 345/9 divided by 5/9 = 345/5 and lets simplify....

y= 69

hope this helps luv

Answer:

Expanded Notation Form:

 421.53 =

 400  

+ 20  

+ 1  

+   0.5

+   0.03

Expanded Factors Form:

   421.53 =

 4 × 100  

+ 2 × 10  

+ 1 × 1  

+ 5 ×   0.1

+ 3 ×   0.01

Expanded Exponential Form:

 421.53 =

4 × 102

+ 2 × 101

+ 1 × 100

+ 5 × 10-1

+ 3 × 10-2

Word Form:

421.53 =

four hundred twenty-one and fifty-three hundredths

Step-by-step explanation:

Answer:

Step-by-step explanation:

400  

+ 20  

+ 1  

+   0.5

+   0.03

Answer:

13 1/3. have a great day!! :D

Step-by-step explanation:

To solve the equation, you first need to multiply 8 by 3/5's reciprocal, which is 5/3. Reciprocal basically means to flip the fraction. By multiplying 8 by 5/3 you'll get 40/3, which you can simplify to 13 1/3.

Answer:

4.2

Step-by-step explanation:

10.5/2.5= 4.2

Move the decimal in 10.5 over one to the right to get 105.0

Answer:

Divide how you normally would, without the decimals, then put the decimal back in its orginal position; this would result in 4.2.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Y= -2/5 x -4/1 so the answer is Y=8/5

Answer:20 tablets

Step-by-step explanation:

Asked my MD father.

Answer:

x=72

Step-by-step explanation:

1.2x−2.4=84

Step 1: Add 2.4 to both sides.

1.2x−2.4+2.4=84+2.4

1.2x=86.4

Step 2: Divide both sides by 1.2.

x=72

Answer: x=72

Step-by-step explanation:

Answer:

The average speed on level road is 65 mph

Step-by-step explanation:

Let the speed on the winding road be x mph

So the speed on the straight road will be x +20 mph

Mathematically, distance = speed * time

Distance on level road will be;

(x + 20)2

Distance on winding road will be;

x* 4 = 4x

Thus, we have;

2(x + 20) + 4x = 310

2x + 40 + 4x = 310

6x + 40 = 310

6x = 310 - 40

6x = 270

x = 270/6

x = 45 mph

The average speed on the level road is x + 20

That will be 45 + 20 = 65 mph

Given:

Charlie bought a new computer for $450 with his credit card.

He plans to pay the minimum payment  of $25 per month.

To find:

The rate of change.

Solution:

Let y be the remaining amount of loan after x months.

Initial amount of loan = $450

Payment of one month = $25

Payment of x months = $25x

Now,

Remining amount = Initial amount of loan - Payment of x months

[tex]y=450-25x[/tex]     ...(i)

The slope intercept form is

[tex]y=mx+b[/tex]     ...(ii)

where, m is slope and b is y-intercept.

From (i) and (ii), we get

[tex]m=-25[/tex]

Therefore, the rate of change is -25 dollars.

Answer:

x can be divided by 2,3,4,5,6

2 can be divided by 4, so is 3 to 6

so simply x can be divided by 4,5,6

4*5*6=120

Step-by-step explanation:

Answer:

I have given the answer in the chat box as i was not able to post officialy

Step-by-step explanation:

Answer:

hey sisters

Step-by-step explanation:

Answer:

okay thank you. ummmm yes well it's not loading

Answer: 7m + 5

Step-by-step explanation:

Distribute the Negative Sign:

=12m+1+−1(5m−4)

=12m+1+−1(5m)+(−1)(−4)

=12m+1+−5m+4

Combine Like Terms:

=12m+1+−5m+4

=(12m+−5m)+(1+4)

=7m+5

Answer:

One is greater than zero, one is less than zero because one is on the right of the decimal and the other one is on the left of the decimal/

Step-by-step explanation:

Answer: because 4 tenths, is another way of saying 4/10 and in decimal form it's 0.4 and 4 tens is 10 10 10 10 which will = 40 a whole number

Step-by-step explanation:

Answer:

Y= -1x - 4

Step-by-step explanation: