SOLVING QUADRATIC EQUATIONS BY SQUARE ROOT
4m^2-1=-23

Answers

Answer 1

Answer: 4m^2-1=-23
⇒ 4m^2= -23+1
⇒ 4m^2= -22
⇒ m^2= -22/4
⇒ m^2= -11/2
⇒ m is undefined for all m∈R (for m^2 is always ≥0 for all m∈R)

Final answer: m is undefined for all m∈R~

Answer 2

Answer: 4m^2 -1 = -23 Add 1 to both sides 4m^2 = -22 then divide both sides by 4. m^2 = -11/2. Square root both sides. m = ((square root of 22)/2) times i

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Experience shows that a ski lodge will be full (153 guests) if there is a heavy snow fall while only partially full (62 guests) with a light snow fall. What is the expected number of guests if the probability for a heavy snow fall is .40
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 3x – 3 = 0

In the step by step simplification of expression below which property is not used? 3(1+x)
3(x+1)
3(x)+3(1)
3x +3

A) associative B) commutative C) distributive D) identity

Answers

D) identity............

$3(1+x)=3+3x\n 3(x+1)=3x+3\n 3(x)+3(1)=3x+3\n 3x +3\n\n Answer:D$

Which of the following types of statement cannot be used to explain the steps of a proof? Check all that apply. A.Postulate B.Guess C.Conjecture D.Theorem

Answers

Answer:

Guess and Conjecture

Step-by-step explanation:

Conjecture is simply an opinion gotten from an incomplete information .Fro example. 10 boys selected from Nigeria were served pizza. None of them ate pizza.

it is a conjecture to conclude that all the males in Nigeria do not eat pizza, because the information is incomplete

Guess is almost similar to conjecture. It is conclusion from incomplete information. It is based on one's personal opinion. Guess can be true or false. it is underprobaility and hence cant be banked upon to explain a proof.

Answer:

guess, conjecture

Step-by-step explanation:

Suppose you invest $4,600 into a savings account with a 8.25% annual interest ratethat compounds interest monthly. Use the TVM solver on your calculator to find the
future value of the account after ten years.

NEED ANSWER ASAP

Answers

Answer:

$10,467.06

Step-by-step explanation:

The computation of the future value is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

here

rate of interest = 8.25% ÷ 12 = 0.6875%

And, the number of years is = 12 × 10 = 120

So, the future value is

= $4,600 × (1 + 0.6875%)^120

= $4,600 × 2.275448086

= $10,467.06

The difference between three times a number and 28

Answers

The mathematical expression for the given situation is 3x-28.

The given statement is "The difference between three times a number and 28".

What is an expression?

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.

Steps to convert word problem into expression:

Understand each word used to describe the issue.
Understand what you need to look for.
Convert the issue into an expression.
Give the unknown a variable (or variables) to represent it.
Indicate exactly what the variable stands for.

Let the unknown number be x.

According to the question, the expression is 3x-28

Therefore, the mathematical expression for the given situation is 3x-28.

To learn more about an expression visit:

brainly.com/question/14083225.

#SPJ2

Answer:

3x-28

Step-by-step explanation:

"The difference" means subtract.

"Three times" means multiply by three.

"A number" means use any variable (I prefer x).

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the size of the lawn in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points?It takes Aaron about 1 hour to mow 2 acres.
Aaron’s rate for mowing lawns is 0.5 acres per hour.
The ratio of acres to time is 5 acres to 3 hours.
The rate to mow a lawn is 0.6 hours per acre.

Answers

Answer:

Aaron’s rate for mowing lawns is 0.5 acres per hour.

Step-by-step explanation:

We are given that x denotes the time in hours it takes to mow a lawn and y denotes the size of the lawn in acres.

Now Two of his points are (3, 1.5) and (5, 2.5)

$(x_1,y_1)=(3,1.5)$

$(x_2,y_2)=(5,2.5)$

Slope : $m=(y_2-y_1)/(x_2-x_1)$

$m=(2.5-1.5)/(5-3)$

$m=(1)/(2)$

$m=0.5$

Thus Aaron’s rate for mowing lawns is 0.5 acres per hour.

Hence Option B is correct

The answer is "Aaron;s rate for mowing lawns is 0.5 acres per hour."
as
1.5 acres / 3 hours = 0.5 acres an hour
2.5 acres / 5 hours = 0.5 acres an hour

The sum of a number is 17 and their difference is 3 find the number