What is the result of adding these two equations?
5x - y = 6
- 2x + y = 8

Answer:

$80 interest will be owed for 4 months

Step-by-step explanation:

P is the principal amount, $4000.00.

r is the interest rate, 8% per year, or in decimal form, 8/100=0.08.

t is the time involved, 3....month(s) time periods.

Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.

Do this by dividing your time, 3- month(s), by 12, since there's 12 months in 1 year.

So, t is 0.25....year time periods.

To find the simple interest, we multiply 4000 × 0.08 × 0.25 to get that:

Answer:

EF = 3.3 ft

Step-by-step explanation:

cos 6 = 3.3/EF

0.9945 = 3.3/EF

EF = 3.32 ft

Answer:

Below.

Step-by-step explanation:

Plot following points.

Calculate the point by plugging in values of x into x^2 + 1

for example When x = 0, y = 0^1 + 1 = 1.

So plot plot (0, 1),

Make a table of points to plot:

x   -3    -2    -1    0    1    2     3

y   10     5     2   1     2   5    10

When you plot the points you'll see the graph is U shaped.

The function is of second degree (as it contains x^2) so it wont be linear.

Answer:

b

Step-by-step explanation:

Answer:

Original Price was $27.00

Step-by-step explanation:

27*.30=8.10

Answer: y= 4

x = 8

Step-by-step explanation:

Answer:

Creo que $1,280

Step-by-step explanation:

12,000+800=12,800

12,800 x 10% =1,280

Answer:

C

Step-by-step explanation:

I took the quiz and got it right

The common ratio of the geometric sequence is r = 2.5

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the terms of the GP be represented as A

Now , A = 1 , 2.5 , 6.25

where the common ratio = second term / first term

On simplifying , we get

r = 2.5 / 1

r = 2.5

Hence , the common ratio is r = 2.5

To learn more about geometric progression click :

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Answer:

i think you cn use frction

Answer: 3 Sets of the 4 post cards and 3 of the single post cart sets.

Step-by-step explanation:

You buy 3 of the 4 post card set becuase that is the most you can get of those to get under 15 post cards.

You would now have 12 postcards now you have to buy 3 of the single set to get to 15 cards

Answer:

Answer = 52

5+47= 52

done

Answer:

a)

the probability that Celia is first in line is 1/n.

b)

the probability that Celia is first in line and Felicity is last in line is 1/n(n-1)

c)

the probability that Celia and Felicity are next to each other in the line is 2/n

Step-by-step explanation:

Given the data in question;

a) Celia is first in line?

the total ways are; n! to place n kids in n places in orderly fashion.

now, if Celia is the first kid, we have to order remaining n-1 kids

(n-1)! / n! = 1/n

therefore, the required probability is 1/n.  

b)  Celia is first in line and Felicity is last in line?

the total ways are; n! to place n kids in n places in orderly fashion,

now, if Celia is the first and Felicity is the last kid, we order the remaining n - 2 kids, which can be done in (n-2)!

(n-2)! / n! = 1 / n(n-1)

therefore, the required probability is 1 / n(n-1)

c) Celia and Felicity are next to each other in the line

the total ways are; n! to place n kids in n places in orderly fashion,

now, if Celia and Felicity as single object, so that they can be put together, we arrange n-1 objects which can be done in (n-1)! ways.

But also these 2 can change the place so in total there are 2(n-1)! ways.

2(n-1)! / n! = 2/n

Therefore, the required probability is 2/n

Answer:

Hope this helps!!!! ;)

Step-by-step explanation:

The key features of the quadratic function are

From the question, we have the following parameters that can be used in our computation:

y = -x² + 4x - 3

A quadratic function is represented as

y = ax² + bx + c

By comapring the equations, we have

a = -1, b = 4 and c = -3

For the key features

Axis of symmetry: x  = -b/2a

So, we have

x  = -4/(2 * -1)

x  = 2

The domain of the function is the set of all real values

For the vertex, we have

(h, k) = (symmetry, f(symmetry))

So, we have

y = -2² + 4(2) - 3

y = 1

So, the vertex is (2, 1)

Read more about quadratic equation at

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Answer:

x=-36

Step-by-step explanation:

Answer:

C bc 48 is the cost of sneakers, x is the number of sneakers, that plus the tv has to be less than 1000.95

Answer:

2πr/d

Step-by-step explanation:

Circumference = 2πr

Pi = circumference/diameter

=2πr/d

Answer:

x = 28/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 5x - 17

f(x) = 11

Step 2: Solve for x

Answer:

y=4

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation

x=2 is where you could fold the quadratic function and have the sides overlap perfectly

Answer:

(x-30)/(3x-10)

Step-by-step explanation:

[tex] \frac{(x + 3)(x - 30)}{(x + 3)(3x - 10)} = \\ \frac{x - 30}{3x - 10} [/tex]

Answer:

Step-by-step explanation:

Answer:

35 degrees

Step-by-step explanation:

the 35 degrees in blue and the orange x angle are corresponding angles

Answer: I got 50x+$75 but I’m not too sure for the last step

Step-by-step explanation:

Answer:

y=50x+75

Step-by-step explanation:

y=125=225-125 Divide 3-1 (x-1)

y-125=50(x-1)

y=50x-50+125

y=50x+75

Answer:

function

Step-by-step explanation:

y = 6x^2 +x+7

This is an upward facing parabola

This relation will pass the vertical line test.

This relation is a function

Answer:

3

Step-by-step explanation:

just get everything but the h to the other side

divide by b1 + b2

1/2h = A/b1 + b2

then multiply by 2

h = 2A/b1 + b2

Answer:

4a

Step-by-step explanation:

Greatest Common Factor is the largest number that the two terms can be divided by

The largest number that these could be divided by is 4a

12a/4a=3

16ab/4a=4b

4a(3+4b)

Answer:

B=9in

Step-by-step explanation:

To find the solution to this problem we will use the Pythagoras theorem.

[tex]c = {a}^{2} + {b}^{2} \\ = \sqrt{ {8}^{2} + {4}^{2} } \\ = 8.944... \\ = 9[/tex]

Answer:

your answer would be 9 in.

Step-by-step explanation:

I hope this makes your day a bit easier!!