How would you write y = –3x2 + 12x – 21 in vertex form?

Answers

Answer 1

Answer: The vertex form of that expression would be y = 3 ( x +2 )squared - 25. This is done by transporting first the -21 to the other side then simplifying the 3(x2 + 4x). Then making the "x2 + 4x" a perfect binomial we need to add 4 and that makes it "x2 + 4x + 4". Then after that we now have the vertex form of y = 3 ( x +2 )squared - 25

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The width of a rectangle is 4 less than half the length. If represents the length, which equation could be used to find the width, w?

Answers

w = width
l= length

w = l/2 - 4

l/2 repreaents half the length
- 4 is 4 less than half the length

The equation of the width(w) is l/2-4.

What is the equation ?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

According to the question

length is represented by l

width is represented by w

so w=l/2-4.

Therefore, he equation of the width(w) is l/2-4.

To know more about expression click on the link below:

https://brainly.in/question/18831055

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Malia solved an equation, as shown below:Step 1: 6x = 48
Step 2: x = 48 – 6
Step 3: x = 42

Part A: Is Malia's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.

Part B: How many solutions will this equation have?

Answers

Answer:

Part A- wrong step number 2 by Malia

Part B - Only 1 solution

Step-by-step explanation:

Given steps are :

Step 1: 6x = 48

Step 2: x = 48 – 6

Step 3: x = 42

Part A:

The second step is wrong. Malia subtracted 6 from 48, but she should not have done it. She should have divided both sides by 6, to get the value of 'x' which is 8.

The correct step should be :

$6x=48$

Divide both sides by 6, $(6x)/(6) =(48)/(6)$

$x=8$

Part B:

The equation has only 1 solution.

subtracting would be wrong it would be dividing. Just divide 6 on both sides to get x=8
for part A

FOR PART B
there is one solution

Jerome is writing a number in scientific notation. The number is greater than one million and less than ten million. What will be the exponent in the number Jerome writes?PLEASE HELP!!!!(by that i mean i want the answer)

Answers

The exponent in the number Jerome writes will be anywhere between 6 to 7.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Jerome is writing a number in scientific notation.

Let's suppose the number is x

The number x is greater than one million and less than ten million.

In scientific notation:

$\rm 10^6\leq x\leq 10^7$