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3 years ago

What is the complete factorization of x^2 - 6x + 9

Mathematics

1 answer:

Finger [1]3 years ago

4 0

Answer:

$(x-3)^{2}$

Step-by-step explanation:

Factor using the perfect square rule.

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Write a linear inequality to represent the information given. Shanley would like to give $5 gift cards and $7 teddy bears as par

ozzi

Answer:

154 is less than or equal to 5x+7y

Step-by-step explanation:

x = number of gift cards and y= number of teddy bears

8 0

2 years ago

Solve the following system of equations for a and for b:

viktelen [127]

Answer:

$a=3\\b=1$

Step-by-step explanation:

$9a+3b=30\\8a+4b=28$

Let's solve the second equation for a to later on replace it in the first equation.

$8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}$

Now plug this into the first equation.

$9a+3b=30\\9(\frac{28-4b}{8})+3b=30$

Distribute the 9

$(\frac{252-36b}{8}) +3b=30$

Break down the fraction.

$\frac{252}{8}-\frac{36b}{8}+3b=30$

Simplify.

$\frac{63}{2}-\frac{9}{2}b+3b=30$

Subtract $\frac{63}{2}$

$-\frac{9}{2}b+3b=30-\frac{63}{2}$

Combine like terms.

$\frac{-9+2*3}{2}b=\frac{30*2-63}{2}$

$\frac{-9+6}{2}b=\frac{60-63}{2}$

$\frac{-3}{2}b=\frac{-3}{2}$

Muliply by the reciprocal or inverted fraction next to b.

$(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})$

$b=1$

Now plug this value into any of the equations to find the value of a.

$8a+4b=28\\8a+4(1)=28\\8a+4=28\\8a=28-4\\8a=24\\a=\frac{24}{8}\\ a=3$

5 0

3 years ago

A freight train completes its journey of 150 miles 1 hour earlier if its original speed is increased by 5 miles/hours. What’s th

Agata [3.3K]

The original speed of the train was 25mph.

7 0

3 years ago

Simplify the expression: 4b - 24 + 19 4p - 5p - 30p 4.2v - 5 - 6.5v

Licemer1 [7]

For the first expression we will only simplify the constants:

4b - 24 + 19 ——> 4b - 5

The second expression only has variables so we simplify the whole expression

4p - 5p - 30p = -31p

The third expression we will only simplify the variables

4.2v - 5 - 6.5v ——> -2.3v - 5

4 0

2 years ago

48. Glyolysis – takes one _______ molecule and converts it two two _________________ molecules.

Delicious77 [7]

Takes one glucose molecule and converts it into two pyruvate molecules

3 0

2 years ago