at the start of his diet kerrin weighed 15 stone 10 pounds three months later he weighed 14 stone 8 pounds there are 14 pounds in a stone

Answer:

The excluded value is x=5.

Step-by-step explanation:

Given : Expression  [tex]\frac{2x}{-5x+x^2}[/tex]

To find : Simplify the rational expression. State any excluded values.      

Solution :

First we simplify the expression,

[tex]\frac{2x}{-5x+x^2}[/tex]

Taking x common from the denominator,

[tex]=\frac{2x}{x(-5+x)}[/tex]

Cancel the common term from numerator and denominator,

[tex]=\frac{2}{-5+x}[/tex]

To find the excluded value we put the denominator equal to zero to get the value of x in which given expression is not valid.

[tex]-5+x=0[/tex]

[tex]x=5[/tex]

Therefore, The excluded value is x=5.

Final answer:

To determine the nature of the roots of the function f(x)=7x²+5x-1, we calculate the discriminant, which is 53. Since it's positive, the equation has two distinct real roots.

Explanation:

The nature of the roots of the quadratic function f(x)=7x²+5x-1 can be determined by calculating the discriminant, which is part of the quadratic formula. The discriminant is given by b² - 4ac, where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0. For the given function, a = 7, b = 5, and c = -1. Therefore, the discriminant equals:

D = b² - 4ac

D = (5)² - 4(7)(-1)

D = 25 + 28

D = 53

Since the discriminant is positive (D > 0), the quadratic function has two distinct real roots.

To pass a truck going 55 mph while you go 60 mph, it will take about 8.94 seconds if using the correct passing techniques. This calculation is based on the relative speed and the total distance required to pass the truck.

First, consider the difference in speeds between the car and the truck. Assuming the truck is going 55 mph as stated in the reference information, and the car speeds up to 60 mph:

Therefore, it will take approximately 8.94 seconds to pass the truck completely.

Answer:

X = 11 sweetheart

Final answer:

To convert the equation y = -4x - 15 to standard form, you add 4x to both sides to get 4x + y = -15, which aligns with the standard form Ax + By = C.

Explanation:

To convert the equation y = -4x - 15 into standard form, we need to rearrange it such that the x- and y-terms are on one side of the equation and the constant is on the other side, typically with the x term first. The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

The given equation is already close to this form, but we need to get the x-term to the other side of the equation. To do this, we simply add 4x to both sides, giving us:

4x + y = -15

This is the standard form of the given linear equation.

Answer:

$145.98

Step-by-step explanation:

You and some friends plan a road trip to a sunny destination that is 1705 miles away.

You drive a car that gets 39 miles per gallon.

Total gas used in the trip = [tex]\frac{1705}{39}[/tex]

                                          = 43.7179487 ≈ 43.72 gallons

Gas costs per gallon = $3.339

Total cost to get to your destination = 43.72 × 3.339

                                                            = $145.98108 ≈ $145.98

The cost would be $145.98 to get to your destination.

divide: 5/4 = 1.25

 answer is 1.25

Answer:

y ≥ |x| + 1

Step-by-step explanation:

I did this on odyssey ware and got 100% so YES it is correct!

Answer:

It is 5

When Y=1 I got 0

Is there a value of k for which the equation has just one real solution?

I put no

Then for the last one I put Yes

Step-by-step explanation:

Edg 2020

The type of question that fits a binomial model is a true/false question, as this type of question strictly limits the outcome to two possibilities - correct or incorrect.

The type of question that fits into a binomial model would be a true/false question. A binomial distribution, in mathematics and statistics, is used to model a number of successes in a sequence of independent and identically distributed binary experiments, such as flipping a coin or indeed, answering a true/false question. These types of questions are considered binomial because there are two possible outcomes: right or wrong, true or false. On the other hand, options like 'fill in the blank', 'matching', or 'multiple choice' doesn't fit the binomial model because they do not strictly limit the outcome to two possibilities.

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Final answer:

A combination of numbers, variables, and at least one operation is called an expression. It involves the use of variables and operators to represent mathematical relationships or operations. Expressions are fundamental in algebra for solving problems and describing mathematical properties.

Explanation:

A combination of numbers, variables, and at least one operation is called an expression. An expression is a mathematical statement that combines values, variables (which are symbols that represent unspecified numbers), and operators (special symbols that represent computations like addition, subtraction, multiplication, and division) to describe a sequence of operations that yield a single result. For example, the expression 5 - 3xy combines the numbers 5 and 3, the variable y, and the operations of subtraction and multiplication to form a single mathematical statement.

Renaming 12,000 as 'ten thousand' means expressing it as '1 ten thousand and 2 thousand'. This breaks the number down into units of ten thousand, with 10,000 being the base unit and the additional 2,000 making up the rest.

The phrase 'rename 12,000 ten thousand' refers to the process of expressing the number 12,000 in terms of ten thousand. To do this, we need to understand that the number 10,000 is a base unit in this context, acting as one 'ten thousand'. Therefore, the number 12,000 would be considered as 1 ten thousand and 2 thousand, since 12,000 is made up of one 10,000 and an additional 2,000 units.

To better understand, let's do a breakdown:

We know that:

In this case, when we want to 'rename' 12,000 as ten thousand, it becomes 1 ten thousand and 2 thousand.