Which statement is true? All constants are of degree 0. All monomials are of degree 1. All binomials are of degree 1. All trinomials are of degree 3.

Answers

Answer 1

Answer: Among the statements only the First statement is true, All constants are of degree 0. Because monomials can have any degrees while binomials will always be in the 1 degree. Also, trinomials will always have a degree of 2.

Answer 2

Answer:

Answer:

Option 1 is correct.

Step-by-step explanation:

Given the following statements we have to choose the true statement.

First option: All constants are of degree 0

The constant term of a polynomial is the term in which the variable does not appear i.e no variable include in that term i.e of degree 0.

Second option: All monomials are of degree 1

Monomials are the polynomials containing 1 term not necessarily of degree 1. Hence, the above statement not true.

Third option: All binomials are of degree 1

Binomials are the polynomials containing 2 term not necessarily of degree 1. Hence, the above statement not true.

Fourth option: All trinomials are of degree 3

Trinomials are the polynomials containing 3 terms not necessarily of degree 3. Hence, the above statement not true.

Hence, option 1 is correct.

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Answers

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On Sunday, a local hamburger shop sold a combined total of 428 hamburgers and cheeseburgers. The number of cheese burgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Sunday?

Answers

The total number of hamburgerssold were 17.

What is equation modelling? What is a mathematical equation and expression?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

A mathematical equation is used to equate two expressions.

Given is that on Sunday, a local hamburger shop sold a combined total of 428 hamburgers and cheeseburgers. The number of cheese burgers sold was three times the number of hamburgers sold.

Assume that the number of hamburgers sold are [x]. Then, the number of cheese burgers sold will be [3x]. Then, we can write -

x + 3x = 428

4x = 428

x = 17

Therefore, the total number of hamburgerssold were 17.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

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The equation you can use is x + 3x = 428 with x as the number of cheeseburgers and 3x the number of hamburgers
you solve for x and get 4x= 428 and x=107

so 321 hamburgers were sold that day.

The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.Write the function in standard form. f(x) = 5x2 + 40x
Factor a out of the first two terms. f(x) = 5(x2 + 8x)
Form a perfect square trinomial. = 16
f(x) = 5(x2 + 8x + 16) – 5(16)
What is the function written in vertex form?

A.f(x) = 5(x + 4) – 80
B.f(x) = 5(x + 8) – 80
C.f(x) = 5(x + 4)2 – 80
D.f(x) = 5(x + 8)2 – 80

Answers

The right answer for the question that is being asked and shown above is that: "C.f(x) = 5(x + 4)2 – 80." Write the function in standard form. f(x) = 5x2 + 40x. Factor a out of the first two terms. f(x) = 5(x2 + 8x). Form a perfect square trinomial. = 16. f(x) = 5(x2 + 8x + 16) – 5(16). The vertex form is C.f(x) = 5(x + 4)2 – 80

Use the formula $(a+b)^2=a^2+2ab+b^2$ for quadratic trinomial. Then you can form from a quadratic trinomial perfect square:

$x^2 + 8x + 16=x^2+2\cdot x\cdot 4+4^2=(x+4)^2$ .

From the last given step you have that

$f(x) = 5(x^2 + 8x + 16)-5\cdot 16$ .

Since 5·16=80, you can substitute the previous expression for perfect square into function expression and get:

$f(x)=5(x+4)^2-80$ .

This means, when x=-4, f(-4)=-80 and vertex has coordinates (-4,-80).

Answer: correct choice is C.

Anna runs three over4 mile in six minutes. Assuming she runs at a constant rate what is her speed in miles per hour

Answers

Answer:

7.5 mph

Step-by-step explanation:

6 times 10 is 60 minutes which is an hour

3/4 times ten is 7.5

A scientist determines that an antibiotic reduces a population of 20,000 bacteria to 5,000 in 24 hours. Findthe rate of decline caused by the antibiotic.