Which is a solution to (x – 3)(x + 9) = –27?
x = –9
x = –3
x = 0
x = 6
Answers
(x – 3)(x + 9) = –27
x^2 + 9x - 3x - 27 = -27
x^2 + 6x - 27 + 27 = 0
x^2 + 6x = 0
x * (x + 6) = 0
1. x = 0
2. x = -6
The correct result would be x = 0.
By evaluating the quadraticexpression at each realnumber, we conclude that x = 0 is a solution (root) to (x - 3) · (x + 9) = -27. (Correct choice: C)
How to find the roots of a given polynomic expression
In this question we must find a solution for a polynomicexpression. There are several approaches to find them. Since we have a polynomicexpression as a product of binomials, we can determine the solution by evaluating at each choice:
x = 0
(0 - 3) · (0 + 9) = -27
(-3) · 9 = -27
-27 = -27
By evaluating the quadraticexpression at each realnumber, we conclude that x = 0 is a solution (root) to (x - 3) · (x + 9) = -27. (Correct choice: C)
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1. Isaac goes to an amusement park where tickets for the rides cost $10 per sheet and tickets for the shows cost $15 each. (a) Write an expression that describes the amount of money Isaac will spend if he buys x sheets of the tickets for rides and y tickets for shows.(b) Evaluate the expression to find the total price that Isaac will pay if he buys 5 sheets of tickets for rides and 3 tickets for shows.
Find the missing coefficient.-y2 − [-5y − y(-7y − 9)] − [-y (15y + 4)] = 0
Answers
Answer: James had his gym membership for approximately 9 months.
Step-by-step explanation: To determine the number of months, m, James had his membership, we can set up an equation based on the given information.
The total cost of James' gym membership consists of two parts: the sign-up fee of $50 and the monthly fee of $65 multiplied by the number of months, m.
Therefore, the equation is:
Total cost = Sign-up fee + Monthly fee * Number of months
In this case, the total cost is $635, the sign-up fee is $50, and the monthly fee is $65. We want to find the number of months, which we will represent as m.
Plugging in the values, the equation becomes:
635 = 50 + 65m
Simplifying further:
635 - 50 = 65m
585 = 65m
To solve for m, we can divide both sides of the equation by 65:
m = 585 / 65
Calculating this division, we find:
m ≈ 9
Answers
The complex number 5-3i is plotted on the complex plane at point (5,-3). The modulus of this complex number is approximately 5.8.
Complex numbers are mathematical entities that extend real numbers to include imaginary components, represented as "a + bi," where 'a' and 'b' are real numbers and 'i' is the imaginary unit (equal to the square root of -1). Complex numbers are used in various fields, including engineering and physics, to describe phenomena involving oscillations, electrical circuits, and quantum mechanics. They are vital for solving equations that have no real solutions and play a fundamental role in understanding complex systems and mathematical analysis, making them a valuable tool in science and engineering.
To graph the complex number 5-3i in the complex plane, you need to plot the point (5,-3). On the horizontal axis (real axis) you mark 5 and on the vertical axis (imaginary axis) you mark -3.
The modulus of a complex number a + bi is the square root of (a2 + b2). In this case, the modulus would be sqrt((5)2 + (-3)2) = sqrt(25 + 9) = sqrt(34), which is approximately 5.8 when rounded to the nearest tenth.
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Answers
Answer: It is an isometry.
The transformation is done over a line of reflection.
Step-by-step explanation:
A reflection is a transformation that flips a figure on the coordinate plane across a given line without changing the shape or size of the figure.
From the definition of reflection, the figure and its image are congruent ,thus it is an isometry.
It does not slides a plane or flips a plane and does not changes the size of the figure.
It is an isometry and the transformation is done over a line of reflection. Option (a) and option (c) is correct.
Further explanation:
Given:
The statements about reflection are as follows,
(a). It is an isometry.
(b). It slides a plane.
(c). The transformation is done over a line of reflection.
(d). It flips a plane about a fixed line.
(e). It changes the size of the figure being reflected.
Explanation:
Isometryis a mapping of space to another space so that the length between the points is same as the length in the original space. Translation and the rotation are the isometries of plane.
Reflection is a transformation. The preimage is just flipped along a line of reflection to get a new image.
It is an isometry and the transformation is done over a line of reflection.
Option (a) is correct.
Option (b) is not correct.
Option (c) is correct.
Option (d) is not correct.
Option (e) is not correct.
Learn more:
- Learn more about inverse of the function brainly.com/question/1632445.
- Learn more about equation of circle brainly.com/question/1506955.
- Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Number System
Keywords: statements, true, reflection, isometry, slides, plane, transformation, done, over, line of reflection, flips, plane, fixed line, changes, the size, reflected, translation.
Answers
Therefore
5x+3(2x)=22
5x+6x=22
11x=22
x=2
y=2(2)
y=4
x=2 y=4
Answers
Month: 650 x 4 = 2,600 cases
Answers
13, 17, 29!!!!!!!!!!!!!!! ^-^