Manuel opened a savings account with an initial balance. Each week he adds $20 to the account. After 6 weeks he has $170 in the account.
Find and interpret the rate of change and the initial value.

It could be 190 because its a half measure                    

Answer:

(5,-6) I think

Step-by-step explanation:

Answer:

rational as it can be expressed as the quotient of two integers

Answer:

that is a rational number

Step-by-step explanation:

A rational number is a number that can be express as the ratio of two integers. ... Likewise, any integer can be expressed as the ratio of two integers, thus all integers are rational.

Example: 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.) All integers are rational numbers.

An irrational number is real number that cannot be expressed as a ratio of two integers. ... The number "pi" or π (3.14159...) is a common example of an irrational number since it has an infinite number of digits after the decimal point. Many square roots are also irrational since they cannot be reduced to fractio

Answer:

c

Step-by-step explanation:

(2x²)³ = 2³(x^(2×3))

=2³x⁶

=8x⁶

Answer:

321%

Step-by-step explanation:

hope I helped Kkkkkkkk

Answer:

A System of Equations has two or more equations in one or more variables Many Variables So a System of Equations could have many equations and many variables.

Step-by-step explanation:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.

Answer:

(a+b)(a-b)

Step-by-step explanation:

because (a+b)(a-b):

If you use FOIL it will work backwards

Answer:

...

against the wind, an airplane travels 3640 km in 7 hours.

with the wind, the same plane travels 6000 km in 6hrs.

...

let speed of plane in still air be x mph

speed of wind be y mph.

..

t=d/r

..

against wind speed = x-y mph

with wond speed = x=y mph

...

3640/(x-y)=7

3640 = 7x-7y

/7

520=x-y.....................1

...

6000/x+y = 6

6000 = 6x+6y

/6

1000=x+y.....................2

...

Add (1) & (2)

2x=1520

/2

x=760 mph speed of plane in still air

...

plug value of x in 2

1000=760+y

100-760=y

240 = y

240 mph speed of wind

Answer:

2 is the correct answer you know it also

Answer:

2

Step-by-step explanation:

Step-by-step explanation:

Cost of each golf ball = $9.31 / 18

≈ $9 / 18 = $0.5.

Answer: 0.5172222222222222

Step-by-step explanation: divide 18 by 9.31

Answer:

(c) y = 2x - 5

Step-by-step explanation:

y=2x+y=5

subtract 2x from both sides of the equation

the answer is C

Answer:

Step-by-step explanation:

60+30=90

180-90=90

60+30+90=180

so the x is 90

Answer:

x=3.5 if rounded if not than 3.4

Step-by-step explanation:

Answer:

She has 17 turtles

Step-by-step explanation:

You have to divide 102 by 6 which equals 17.

Answer:

$66

Step-by-step explanation:

The meal cost $50 without taxes.

The cost of tax:

$50*%14= $7

so she will pay a $7 tax

Also, she wants to tip %18 of the original $50 so:

$50*%18= $9

so she will tip $9

$50 + $7 + $9 = $66

Answer:

Height = 5 ft

Base = 11 ft

Step-by-step explanation:

The area of a parallelogram is

Base × Height

From the question:

The base of a parallelogram is 6 ft more than the height.

Base = 6ft + h

If the area of the parallelogram is 55 ft^2​,

what are the measures of the base and the​ height?

This is calculated as:

55 ft² =( 6 + h ) × h

55 = 6h + h²

h² + 6h - 55 = 0

h² +5h - 11h - 55 = 0

h(h + 5) - 11(h + 5) = 0

(h + 5)(h - 11) = 0

h - 11 = 0

height = 5ft

Base = 6 + h = 6 + 5

Base = 11ft

The value of x is 11.

It states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points.

From given figure,  [tex]A=3x+9,B=8x-4[/tex]

                [tex]\angle B=2\angle A\\\\8x-4=2(3x+9)\\\\8x-4=6x+18\\\\8x-6x=18+4\\\\2x=22\\\\x=22/2=11[/tex]

Learn more about the central angle of circle here:

https://brainly.com/question/3538263

Answer:

1

Step-by-step explanation:

so we have:

f+2>5 2 goes the other side, so

f>5-2

f>3

f+4<9 4 goes to the other side, so

f<9-4

f<5

we have two inequality

f>3

f<5

f belongs (3,5), we have only one value for this, it is 4

Answer:

-5 1/2

The first one is right.

Step-by-step explanation:

k12 right ?

The solution of the given expression if p = 1, r= -7, and s = -2 will be; -5 and 1/2

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

WE have been given an expression as

-3p-2r / 6+4s

We have to substitute the value p = 1, r= -7, and s = -2 to find the solution.

Plug the values;

-3p-2r / 6+4s

-3 (1) -2 (-7) / 6+4(-2)

-3 + 14 / 6 - 8

11 / -2

Hence, the solution of the given expression if p = 1, r= -7, and s = -2 will be; -5 and 1/2

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

Answer:

[tex]-12x^2[/tex]

Step-by-step explanation:

Think of the box method as completing a chart or a multiplication table.

We can see that box B is in the second column of the first row. The second column is labeled by -4x. The first row is labeled by 3x. So, in order to fill out box B, you have to multiply -4x and 3x together.

To do so, multiply the terms' coefficients (the numbers in front of the variable). -4 times 3 makes -12. Then, multiply the variables - just keep the variable and add their exponents. x and x both have exponents of one, which makes [tex]x^1^+^1[/tex], resulting in [tex]x^2[/tex]. Put them together and the answer would be [tex]-12x^2[/tex].

Answer:

B.

Step-by-step explanation:

Using the lines they start and end on,

-1 plus 1 equals 0

Therefore, B. will be your answer!

Sorry this is very blunt, lol

Answer:

therefore B us ur answer

Answer:

142

Step-by-step explanation:

opposite angle theorem

Answer:

D. 142

Step-by-step explanation:

They are vertical angles which are always equal

Answer:

(6,3)

Step-by-step explanation:

Here is the system of equations:

x+3y=15

4x+2y=30

Since we have x with a coefficient of 1 in the first equation, let's use substitution to solve this system.

In the first equation, subtract 3y from  both sides

x=-3y+15

now substitute -3y+15 as x in the second equation, and solve for y

4(-3y+15)+2y=30

do distributive property

-12y+60+2y=30

combine like terms

-10y+60=30

subtract 60 from both sides

-10y=-30

divide by -10

y=3

Now, substitute y as 3 into either one of the equations to solve for x.

For example, let's use x=-3y+15

x=-3(3)+15

multiply

x=-9+15

x=6

The answer is x=6 and y=3. As a point it's (6,3)

Hope this helps!

Answer:

0.8

Step-by-step explanation:

that's the decimal.

Answer:

0.8

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B is the only choice that has both all of the steps, and all of the steps in the right order.

Answer:

21

Step-by-step explanation:

Answer:

area of the original square = 36 in²

Step-by-step explanation:

given data

one side is increased = 9 inches

other side is decreased = 2 inches

area of the resulting rectangle = 60 in²

solution

we consider here x as the length of any one side

and

longer side of the resulting rectangle = x + 9

and

the shorter side x - 2

so that area of this rectangle is (s+9) × (s-2) = 60 in²

standard form of equation is  x² + 7x - 18 = 60   .....................1

it will be

x² + 7x - 78 = 0

(s+13) (s-6) = 0

so that here x  = -13

and  x = 6

here we Discard x = -13 because the side length cannot be negative.

so x = 6

and area of the original square = 36 in²

Answer: y = 6 x = 0.2

Step-by-step explanation:

5x+y=7  

20x+2=y

re-write one

5x + y = 7  OR  y = 7 - 5x

substitution

20x + 2 = 7 - 5x

20x + 5x = 7 - 2

25 x = 5

x = 5/25

x = 0.2

now for finding y

y = 7 - 5x

y = 7 - 5(0.2)

y = 7 - 1

y = 6

Answer:

X^2+13x+40=area

Step-by-step explanation:

So its

(x+8)*(x+5)

Now solve

Use FOIL

x^2+5x+8x+40

Now combine

x^2+13x+40

There you have it