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3 years ago

A polynomial p(x) is divided by a binomial x-a the remainder is 0

1 answer:

3 0

If this is the case, then you know by the polynomial remainder theorem that $x-a$ is a factor of $p(x)$ , so there is some polynomial $q(x)$ such that

$p(x)=(x-a)q(x)$

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maria saves $25.00 a month and her sister Luisa saves $37.50 a month. How many months will it take for Luisa to save exactly $10

damaskus [11]

37.50 -25.00= 12.50 so Luisa makes 12.50 more a month than Maria. Divide 100/12.5 = 8. It will take Maria 8 months to be exactly $100 ahead of Luisa.

3 0

2 years ago

Which of the following would best be solved using factoring by grouping?

snow_lady [41]

Answer:

The fourth

Step-by-step explanation:

It has 4 terms

5 0

2 years ago

Read 2 more answers

Without finding the inverse of the function determine the range of the inverse of F(x) = the square root of x-4

Nastasia [14]

The rang of an inverse function is the domain of the normal function
So you just gotta find the domain of that which is x is greater than or equal to 0

3 0

3 years ago

Please help me its about solving system by substitution

Andrew [12]

Answer:

(-3, 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -x + 1

2x + 3y = 6

Step 2: Solve for x

Substitution

Substitute in y: 2x + 3(-x + 1) = 6
Distribute 3: 2x - 3x + 3 = 6
Combine like terms: -x + 3 = 6
Isolate x terms: -x = 3
Isolate x: x = -3

Step 3: Solve for y

Define equation: y = -x + 1
Substitute in x: y = -(-3) + 1
Simplify: y = 3 + 1
Add: y = 4

6 0

2 years ago

The height of a ball thrown vertically upward from a rooftop is modelled by h(t)= -4.8t^2 + 19.9t +55.3 where h (t) is the balls

nikitadnepr [17]

By applying the quadratic formula and discriminant of the quadratic formula, we find that the maximum height of the ball is equal to 75.926 meters.

<h3>How to determine the maximum height of the ball</h3>

Herein we have a quadratic equation that models the height of a ball in time and the maximum height represents the vertex of the parabola, hence we must use the quadratic formula for the following expression:

- 4.8 · t² + 19.9 · t + (55.3 - h) = 0

The height of the ball is a maximum when the discriminant is equal to zero:

19.9² - 4 · (- 4.8) · (55.3 - h) = 0

396.01 + 19.2 · (55.3 - h) = 0

19.2 · (55.3 - h) = -396.01

55.3 - h = -20.626

h = 55.3 + 20.626

h = 75.926 m

By applying the quadratic formula and discriminant of the quadratic formula, we find that the maximum height of the ball is equal to 75.926 meters.

To learn more on quadratic equations: brainly.com/question/17177510

#SPJ1

6 0

1 year ago