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2 years ago

Solve using the elimination method. 5r-2s=21 & 2r+5s=20

1 answer:

5 0

I hope this is correct. I solved it using the addition elimination method. The answer is s= 2, and r= 5. I hope that was helpful.

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Solve the quadratic equation 4x2 − 121 = 0. Verify your answer using a difference-of-squares factoring method.

Alenkasestr [34]

Answer:

Option d) is correct

That is x equals plus or minus start fraction 11 over two end fraction

Step-by-step explanation:

Given quadratic equation is $4x^2-121=0$

To write the given quadratic equation by using a difference-of-squares factoring method:

$4x^2-121=0$

The above equation can be written as

$4x^2-11^2=0$

$(2x)^2-11^2=0$

The above equation is in the form of difference-of-squares

Therefore the given quadratic equation can be written in the form of difference-of-squares

by factoring method is $(2x)^2-11^2=0$

$(2x+11)(2x-11)=0$ (which is in the form $a^2-b^2=(a+b)(a-b)$ )

2x+11=0 or 2x-11=0

$x=\frac{-11}{2}$ or $2x=11$

$x=\frac{-11}{2}$ or $x=\frac{11}{2}$

$x=\pm \frac{11}{2}$

Therefore option d) is correct

That is x equals plus or minus start fraction 11 over two end fraction

5 0

2 years ago

Help me asap you guys i need help

Thepotemich [5.8K]

Hi there! :)

Answer:

$\huge\boxed{C}$

To simplify the process, convert each given weight into standard notation:

Lion:

$1 * 10^{5} = 1 * 100000 = 100,000 g$

Ant:

$2 * 10^{-3} = 2* 0.001 = 0.002$

Divide the ant's weight from the lion's weight:

$100000 / 0.002 = 50,000,000$

Convert to scientific notation: (use # of zeros to determine exponent)

$50,000,000 = 5 * 10^{7}$

Therefore, the correct answer is C.

5 0

2 years ago

the ordered pairs (0,-1),(1,0),(2,3),(3,8),(4,15) represent a function what is a rule that represents this function? Please help

yarga [219]

Answer:

The function rule is

$f: x\to \: {x}^{2} - 1$

Step-by-step explanation:

The given ordered pairs are (0,-1), (1,0),(2,3),(3,8),(4,15)

We can observe the following pattern.

$f(0) = {0}^{2} - 1 = - 1$

$f(1) = {1}^{2} - 1 = 0$

$f(2) = {2}^{2} - 1 = 3$

$f(3) = {3}^{2} - 1 = 8$

$f(4) = {4}^{2} - 1 = 15$

When we generalize this pattern, we obtain:

$f(x) = {x}^{2} - 1$

This is the function equation.

The function rule is

$f: x\to \: {x}^{2} - 1$

8 0

2 years ago

How many people will 5 pitchers serve if pitcher serves 1/8 one person?

Marianna [84]

So if a person has 1/8 of a pitcher then you have 8 people per pitcher. Then if you have 5 pitchers you do 5 x 8 and get 40 so 40 people will be served. Hope this helps :)

7 0

3 years ago

Find cos in the triangle <br>There are 2 pictures

Elanso [62]

Answer is c

something that helps me is
soh- opposite hypotenuse cah - adjacent and hypotenuse toa- opposite and adjacent
soh cah toa

7 0

2 years ago