Fill in the gap

25 36 _ 64 81 _

Answers

Answer 1

Answer: 49, then 100.

2x2x2x2
3x3x3x3
and so on.

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Multiply.Express your answer in lowest terms.Multiply.Express your answer in lowest terms. -5/6 * (-3/10)=
PLEASE HELP ME I BEG I REALLY NEED HELP WITH THIS PROBLEM!
At what value of x do the graphs of the equations below intersect? 2x − y = 6 5x + 10y = −10 −2 2

What are the solutions to the system of equations?

Answers

Answer:

A. $(1,5)$ and $(5,13)$

Step-by-step explanation:

We have been given a system of equations. We are asked to find the solution of our given system.

$\left \{ {{y=x^2-4x+8}\atop {y=2x+3}} \right.$

Equate both equations:

$x^2-4x+8=2x+3$

$x^2-4x-2x+8-3=2x-2x+3-3$

$x^2-6x+5=0$

Split the middle term:

$x^2-5x-x+5=0$

$x(x-5)-1(x-5)=0$

$(x-5)(x-1)=0$

Use zero product property:

$(x-5)=0\text{ (or) }(x-1)=0$

$x=5\text{ (or) }x=1$

Now, we will substitute both values of x, in our given equation to solve for y.

$y=2x+3$

$y=2(1)+3$

$y=2+3$

$y=5$

One solution: $(1,5)$

$y=2x+3$

$y=2(5)+3$

$y=10+3$

$y=13$

2nd solution: $(5,13)$

Therefore, option A is the correct choice.

Answer:

Step-by-step explanation:

Given the 2 equations

y = x² - 4x + 8 → (1)

y = 2x + 3 → (2)

Since both express y in terms of x we can equate the left sides, that is

x² - 4x + 8 = 2x + 3 ( subtract 2x + 3 from both sides )

x² - 6x + 5 = 0 ← in standard form

(x - 1)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 5 = 0 ⇒ x = 5

Substitute these values into (2) for corresponding values of y

x = 1 : y = (2 × 1) + 3 = 2 + 3 = 5 ⇒ (1, 5)

x = 5 : y = (2 × 5) + 3 = 10 + 3 = 13 ⇒ (5, 13)

Solutions are (1, 5) and (5, 13)

What is the answer to this.
2 1/3 + 3 1/4

Answers

first you make them into improper fractions

2 1/3 = 3 + 3 + 1 /3 = 7/3
3 1/4 = 4 + 4 + 4 + 1 /4 = 13/4

Then you make a common denominator

7/3 + 13/4 = x/12 + y/12

13 x 3 = x, and 7 x 4 = y ( do cross multiplication)

39/12 + 28/12 = 67/12 ( answer in improper fraction)

67/12 = 12 + 12 + 12 + 12 + 12 + 7

5 7/12 is your answer in mixed fraction

hope this helps

2 1/3 + 3 1/4 = 5 7/12

1. First, you have to find a common denominator... 12
- 3: 3, 6, 9, 12, 15...
- 4: 4, 8, 12, 16, 20...
- Both have an LCM as 12, so that is the common denominator.

2. Second, you make the fractions equivalent to when the denominator is 12...
- 1/3 x 4 = 4/12
- 1/4 x 3 = 3/12

3. Lastly, add...
- 2 4/12 + 3 3/12 = 5 7/12

Hope this helped! :)

doug had 2000 baseball cards. he wants at least "y" cards in his collection by the time he graduates. he buys 25 baseball cards each week. write an inequality to represent this situation.

Answers

y≥25x+2000

because the +2000 is the y intercept ( where he started) and its 25x because he gets 25 over x amount of weeks

Explain how to use the missing pieces strategy to compare two fractions.include a diagram with your explanation.

Answers

In order for us to tell whichever fraction is greater than or lesser than, we need to look for the missing part.

For example, we have 2/3 and 1/3.
2/3 needs to have 1/3 in order to complete the whole.
1/3 needs to have 2/3 in order to complete the whole.

1/3 < 2/3
So 2/3 is bigger than 1//3

An artificial lake is in the shape of a rectangle and has an area of 9/20 square mile. The width of the lake is 1/5 the length of the lake. What are the dimensions of the lake?