MATHEMATICS HIGH SCHOOL

How do I factor 5x^2 + 28x + 32 ?

Answers

Answer 1
Answer:

Factor:

5x^2 + 28x + 32  =======>  Solution:  ======>   ( x   +   4 ) ( 5x   +   8 )


Steps:  Factor

5x^2 + 28x + 32

Break the expressions into groups:

( 5x^2     +    20x )      +     ( 8x       +     32 )

Factor Out   5x^2   From  5x^2   +   20x   ======>     5x( x   +   4 )

Factor Out the  8   From    8x    +   32    ========>    8 ( x      +    4 )

=       5x (x     +    4 )       +     8 ( x      +     4 )

Factor Out Common term:

x     +        4

Answer =====>  Factor of;  ==>  5x^2 + 28x + 32     ( x      +    4 ) ( 5x      +   8 )



Hope that helps!!!!                                              : )

   
Answer 2
Answer: Hi! First, you want to work out your exponets. We have a 5x to the 2nd power (5x^2). Look at it as 5x•5x, “• means to multiply” so that will equal 25x. Next, put it back in the equation. That’ll be 25x+28x+32. Next step is to combine variables . The variables are 25x and 28x. this will equal, 53x. Put that back into the equation, which will now be 53x+32. This will be your answer since you cannot combine those two! Hope this works!

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Katie made a 1/2 gallon of lemonade. Each glass holds 1/2 a pint, how many glasses can she fill?

Answers

In one gallon, there are four quarts. Each quart holds two pints. Therefore, there are eight pints in a gallon. Because you are only talking about half a gallon, we only need half of eight pints, or four pints. If each glass holds half a pint, and there are four pints, she can fill eight glasses.

Hope this helped!! :))

Find the solutions to the equation -5/2x+3/4x=-3\4

Answers

Simplify both sides of the equation

-5/2 x +3/4 x = -3/4

Combine like terms

(-5/2 x + 3/4 x )

-7/4 x = -3/4

-7/4 x = -3/4

Multiply both sides by 4/(-7)

(4/-7)*(-7/4 x ) = (4/-7 ) * ( -3/4 )

x = 3/7
-(5)/(2)x+(3)/(4)x=-(3)/(4)\n\n-(5*2)/(2*2)x + (3)/(4)x=-(3)/(4)\n\n(-10)/(4)x+(3)/(4)x=-(3)/(4)\n\n(-10+3)/(4)x=-(3)/(4)\n\n-(7)/(4)x=-(3)/(4)\n\n-(7)/(4)x * -4 =-(3)/(4) * -4\n\n7x = 3\n\n\boxed{\bf{x =(3)/(7)}}

What is the sum of all integers x that satisfy 1 < (pi -1 )x < 10?

Answers

Answer:

Step-by-step explanation:

pi - 1 = 3.14 - 1 = 2.14

x has to be an integer, and the result must be greater than 1.

1 works.

1 < 2.14*1 < 10  2.14 is between 1 and 10.

2 works

1 < (2.14)*2 < 10

1 < 4.28 < 10

3 works

1 < 2.14 * 3 < 10

1 < 6.42 < 10

4 might work

1 < 2.14*4 < 10

1 < 8.56 < 10

and it does work.

5 can't work

1 < 5 * 2.14 < 10

1 < 10.7 < 10 is not true.

Answer: 1,2,3,4

Answer:

10

Step-by-step explanation:

pi is 3.14...

pi - 1 is 2.14...

question becomes 1<2.14x and 2.14x < 10

1/2.14 < x, 0.46... < x

x < 10/2.14, x < 4.67...

combining

0.46< x < 4.67

x can be 1, 2, 3, 4

Solve for y

3x + 3y = 45

Answers

Answer:

y=15-x

Step-by-step explanation:

3y=45-3x

y=15-x

If you want to solve for y, you need another one equation

Answer:

y = -x + 15

Step-by-step explanation:

Subtract 3x from each side (left and right side of the equal sign) which will leave you with 3y = -3x + 45. Then divide everything by 3 which gets you

y = -x +15

Given the two expressions shown below:A. square root of 64 plus square root of 5
B. square root of 64 plus square root of 4

Which statement best describes the two expressions?

A. Both are rational.
B. Both are irrational.
C. A is rational, but B is irrational.
D. A is irrational, but B is rational.

Answers

The statement that best describes the two expressions is
D. A is irrational, but B is rational

square root of 64 plus square root of 5 is 8 plus square root of 5, the square root of 5 is an irrational number which makes the entire expression an irrational number

square root of 64 plus square root of 4 is 8 plus 2 which is equal to 10 and is a rational number

2 less than 4 times a number is -18

Answers

Step-by-step explanation:

4x -2 = -18

to solve for x

4x = -16

x = -4
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