MATHEMATICS HIGH SCHOOL

A student is deriving the quadratic formula. Her first two steps are shown. Step 1: –c = ax2 + bx Step 2: -c = a[x^2+b/ax] Which best explains or justifies Step 2? division property of equality factoring the binomial completing the square subtraction property of equality

Answers

Answer 1

Answer:

Given choices:

(1) division property of equality

(2) factoring the binomial

(3)completing the square

(4)subtraction property of equality

Answer : (2) factoring the binomial

Step 1: $-c = ax^2 + bx$

Step 2: $-c = a[x^2+(b)/(a) x]$

In step 2, 'a' is taken out from $ax^2 + bx$ . when we take out 'a' we divide each term by 'a'. so it becomes $a[x^2+(b)/(a) x]$

'a' is factored out in step 2. we call it as factoring a binomial.

Answer 2

Answer:

Answer:

answer is B

Step-by-step explanation:

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How do you figure out what is 1/4 of 10.

Answers

You can multiply 10 by 1/4 or .25

10x.25=2.5

as you know ( i think) of means to multiply so do 1 over 3 1/3 times 10 over 1 (10/1
because 10/1 =10 hope i helped :)

One number is 5 less than a second number.twice the second number is 4 less than 4 times the first.find the two numbers

Answers

The equation is solved and the two numbers are x = 7 and y = 12

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let's call the first number "x" and the second number "y"

x = y - 5 (the first number is 5 less than the second number)

2y = 4x - 4 (twice the second number is 4 less than 4 times the first)

We can use substitution to solve for one of the variables.

Substituting the first equation into the second equation, we get:

2y = 4 (y - 5) - 4

Simplifying this equation , we get

2y = 4y - 24

2y - 4y = -24

-2y = -24

y = 12

Now that we know that the second number is 12, we can use the first equation to find the first number:

x = y - 5

x = 12 - 5

x = 7

Hence , the two numbers are 7 and 12

To learn more about equations click :

brainly.com/question/19297665

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Answer:

9 and 14

Step-by-step explanation:

One number is 5 less than a second number.

a = b - 5

Twice the second number is 8 less than 4 times the first.

2b = 4a - 8

replace a with (b-5)

2b = 4(b-5) - 8

2b = 4b - 20 - 8

2b - 4b = -28

-2b = -28

b = 14

then

a = 9

How do you Graph 0=x+1/4y+1/2

Answers

Slope: -4

X-Intercept: -.5

Y-Intercept: -2

Dorothy is buying desks. This table shows how the cost depends onthe number of desks purchased.
Desks Cost ($)
8
24
9
27
10
30
11
33
What is the constant of proportionality of this relationship?