Chris has $100 in his saving account and he adds $20 a month to the account. The total amount can be represented by the linear function T=20x+100. His goal is to have a total of $300 in four months. What should he change in the function to reach this goal?

Objective: Solve systems of equations with three variables using addition/elimination.

Solving systems of equations with 3 variables is very similar to how we solve systems with two variables. When we had two variables we reduced the system down

to one with only one variable (by substitution or addition). With three variables

we will reduce the system down to one with two variables (usually by addition),

which we can then solve by either addition or substitution.

To reduce from three variables down to two it is very important to keep the work

organized. We will use addition with two equations to eliminate one variable.

This new equation we will call (A). Then we will use a different pair of equations

and use addition to eliminate the same variable. This second new equation we

will call (B). Once we have done this we will have two equations (A) and (B)

with the same two variables that we can solve using either method. This is shown

in the following examples.

Example 1.

3x +2y − z = − 1

− 2x − 2y +3z = 5 We will eliminate y using two different pairs of equations

5x +2y − z = 3

1

3x +2y − z = − 1 Using the first two equations,

− 2x − 2y +3z = 5 Add the first two equations

(A) x +2z = 4 This is equation (A), our first equation

− 2x − 2y +3z = 5 Using the second two equations

5x +2y − z = 3 Add the second two equations

(B) 3x +2z = 8 This is equation (B), our second equation

(A) x +2z = 4 Using (A) and (B) we will solve this system.

(B) 3x +2z = 8 We will solve by addition

− 1(x +2z) =(4)( − 1) Multiply (A) by − 1

− x − 2z = − 4

− x − 2z = − 4 Add to the second equation, unchanged

3x +2z = 8

2x = 4 Solve, divide by 2

2 2

x = 2 We now have x! Plug this into either(A) or(B)

(2) +2z = 4 We plug it into (A),solve this equation,subtract 2

− 2 − 2

2z = 2 Divide by 2

2 2

z = 1 We now have z! Plug this and x into any original equation

3(2) +2y − (1)= − 1 We use the first, multiply 3(2) =6 and combine with − 1

2y + 5= − 1 Solve,subtract 5

− 5 − 5

2y = − 6 Divide by 2

2 2

y = − 3 We now have y!

(2, − 3, 1) Our Solution

As we are solving for x, y, and z we will have an ordered triplet (x, y, z)

Answer:

Dividing two negative values results in a positive value. Reorder −4 - 4 and 2x5 2 x 5 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 25 .

9514 1404 393

Answer:

Step-by-step explanation:

The graph of an inverse relation is the reflection of the graph of the relation over the line y = x. That interchanges the coordinates of the points of the function. (-2, 4) becomes (4, -2) when so reflected, for example.

Answer:

P = 50.39 cm

Step-by-step explanation:

It is given that,

The side of a square, a = 5∛16 cm

We need to find the perimeter of the square.

Perimeter = sum of all sides.

All sides of a square are equal. Its perimeter is given by :

P = 4a

[tex]P=4\times 5\sqrt[3]{16} \\\\P=50.39\ cm[/tex]

So, the exact perimeter of the square is 50.39 cm.

Answer:

D. cos 0°

Step-by-step explanation:

[tex] \because \: \cos \: 0 \degree = 1 \\ and \: \sin 90 \degree = 1 \\ \\ \therefore \: \cos \: 0 \degree =\sin 90 \degree [/tex]

Answer:

Hi there! The answer is $1.86. Hope this helps! c:

Step-by-step explanation:

First, convert 15% to a decimal.

15% / 100 = 0.15

Then, multiply.

0.15 * 12.40 = $1.86

Since 15% of 12.40 is $1.86, then Jamie left a $1.86 tip.

Step-by-step explanation:

78 divided by 4 = 19.5 pounds of bird food each.

Answer:

19.5 pounds per bird feeder

Step-by-step explanation:

78/4

Answer:

The answer for the question is C

Answer:

The answer is D.) the exponent that you raise to a base in order to get a number.

Step-by-step explanation:

I got it on usatestprep.

Answer:

Exactly one pair of opposite sides are parallel

Step-by-step explanation:

A trapezoid is a plane shape quadrilateral that has exactly one pair of its sides parallel.

The parallel sides must occur for it to be a trapezoid. If they do not, it is most likely another shape. They could occur between the top and bottom sides while the left and right sides remain non-parallel, or vice-versa.

The other options given do not fall into the description of a trapezoid, as its opposite sides and diagonals are not always congruent.

Answer: A. Not a function. B. Is a function. C. Not a function. D. Not a function.

Step-by-step explanation:

Answer: 4

a = 4

Step-by-step explanation: 8=3(4)-4

8=12-4

Substitute a for 4

hope this is correct :-)

Answer:

a=4

Step-by-step explanation:

8=3a-4

-3a= -4 -8

-3a = -12

a=12/3

a=4 Ans

Answer: C is the domain of the function

Step-by-step explanation:

y=f(x) and x in y=f(x) is domain.

Answer:

-2u+w  

Step-by-step explanation:

Answer:

$246.75

Step-by-step explanation:

11.75 x 21 = 246.75

hope this helps <3

Answer:

If the student worked 21 hours this month, she will earn $246.75.

Step-by-step explanation:

Let [tex]x[/tex] equal hours.

If the student earns $11.75 per hour, we can represent this with the expression:

[tex]11.75x[/tex]

If she worked 21 hours this month, then:

[tex]x=21[/tex]

With that information, we can substitute [tex]21[/tex] for [tex]x[/tex] in the initial expression:

[tex]11.75(21)[/tex]

Multiply:

[tex]246.75[/tex]

Therefore, if the student worked 21 hours this month, she will earn $246.75.

-

We can check our work by setting the initial expression equal to our solution:

[tex]11.75x=246.75[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]11.75[/tex]:

[tex]x=21[/tex]

Since this quotient matches the number of hours she worked, our solution is correct!

Answer:

x<5

Step-by-step explanation:

Answer:

-2 > -15

Step-by-step explanation:

-2 is greater than -15

Answer:it’s factorable

Step-by-step explanation:

I mean I don’t really hve a method to this but u could use the ac method as a is greater than 1. I just factorise in my head automatically.

Answer:

(x + 3)(3x - 2)

Step-by-step explanation:

Multiply the 3 and -6 together to get -18 . What two numbers add to  7  and multiply to  -18? 9 and -2

So we can now split the middle term like this...

=  3x^2 + 9x - 2x - 6            

Now factor a  3x  out of the first two terms.

=  3x(x + 3) - 2x - 6            

Now factor a  -2  out of the last two terms.

=  3x(x + 3) - 2(x + 3)        

Now factor a  (x + 3)  out of both remaining terms.

=  (x + 3)(3x - 2)

Answer:

Y goes like this: -3, -2, -1, 0, 1

Step-by-step explanation:

All you have to do is replace the X in the equation with the X in the chart.

For example, to find the first Y I just did:

y= -2-1

And whatever the thing equals is Y

Answer:

Parker will have to pay $31 in a month in which he downloaded 50 songs.

Total amount Parker will pay for s songs = 6 + 0.50s

Step-by-step explanation:

Cost per month = $6

Cost of Offline download = $0.50 per song

A. How much total money would

Parker have to pay in a month in which he downloaded 50 songs?

Total amount Parker will pay = $6 + $0.50(50)

= 6 + 25

= $31

Parker will have to pay $31 in a month in which he downloaded 50 songs.

B. How much would

he have to pay if he downloaded s songs?

Total amount Parker will pay for s songs = $6 + $0.50 * s

= $6 + $0.50s

Total amount Parker will pay for s songs = 6 + 0.50s

Answer:

21

Step-by-step explanation:

Let x be the amount of ticket for each game

Given

The expression 8x + 62 represents the total cost of the football game

The total coat for the.game will be

8(7)+62

= 56+62

= 118

If 9x + 34 represents the total cost of the baseball game. The total coat will be;

9(7)+34

= 63+34

=97

To know how much more football game costs, we will take the difference in their cost.

Difference = 118-97

Difference= 21

Hence football game costs 21 more than baseball

Answer:

f(x) = x^4 - 5x^3 - x^2 + 5x should be the answer

Step-by-step explanation:

x = 0 1 -1 5

x = 0

x - 1 = 0

x + 1 = 0

x - 5 = 0

f(x) = x (x - 1) (x + 1) (x - 5)

(x - 1) (x - 5) = x(x) - 1(x) - 5(x) - 1(- 5)

x^2 - x - 5x + 5

f(x) = (x^2 - 6x + 5) (x + 1)

x^2(x) - 6x(x) + 5(x) + x^2(1) - 6x(1) + 5(1)

x^3 - 6x^2 + 5x + x^2 - 6x + 5

f(x) = (x^3 - 5x^2 - x + 5) x

x^3(x) - 5x^2(x) - x(x) + 5(x)

f(x) = (x^4 - 5x^3 - x^2 + 5x)

Answer:

y = x^4 - 5x^3 - x^2 + 5x

Step-by-step explanation:

hope i helped

Answer:

y= -1/3x + 4

Step-by-step explanation:

m in this case is (-1/3)

and b is (4)

knowing that you can just plug them into the equation (y=mx+b)

Answer: y=1

Step-by-step explanation:

Answer:

Increase the quotient by one

Step-by-step explanation:

Since in the question it is mentioned that There is a total of 33 cards and wants to put 4 cards on each page

So for determining the number of pages for put all of his cards

We should do increment in the quotient by 1 as there is a requirement of an additional page for the left cards

Therefore the above is the answer

Answer:

x = -5   y = 3

Step-by-step explanation:

-3x + 5y = 15

cancel out the y

-3x + 5(0) = 15

-3x = 15

divide both sides by -3

x = -5

-3x + 5y = 15

cancel out the x

-3(0) + 5y = 15

5y = 15

divide both sides by 5

y = 3

Hope this helps!!

Answer:

If we want to cover the base of the prism having dimensions 2 cm × 1 cm with cm length of cube, then there will be (4 × 2) = 8 cubes that can occupy the base.

Step-by-step explanation:

Answer:

sss and sas both work

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can see two congruent sides as per marks and one shared side which is congruent to itself

So the correct option is SSS