Which function does f(-1/2) ≠ -1
Answer:
anything but 2
Step-by-step explanation:
f(-1/2)
If you plug in 2, you'd get -1. But if you plug in other values, it won't be equal to -1.
Jane needs to memorize words on a vocabulary list for German class. She has memorized 8 of the words, which is one-fourth of the list. How many words
are on the list?
Answer:
x = 32 words
Step-by-step explanation:
Okay...let's get solving! :D Firstly, we
let the word list be x and convert the long paragraph into an equation that we can use.
one-fourth = 1/4
Memroized = 8 words
[tex]x * \frac{1}{4} = 8[/tex]
Thus, we solve the equation.
x = 32 words
Help help math math math
Answer:
[tex]\displaystyle m = 3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify points.
Point (8, 1)
Point (11, 10)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{10 - 1}{11 - 8}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{9}{3}[/tex]Simplify: [tex]\displaystyle m = 3[/tex]Answer:
m=3
Step-by-step explanation:
The store is 7⁄8 of a mile away from your house. You walked 1⁄5 of a mile towards the store before getting on the bus. If the bus went directly to the store, how many miles long was the bus ride?
Find the points on x^2+3(y-2)^2 = 27
which are closest to and farthest from the origin
[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.
Let be a curve of the form [tex]x^{2}+3\cdot (y-2)^{2} = 27[/tex]. The distance with respect to origin is found by using the following Pythagorean identity:
[tex]r = x^{2}+y^{2}[/tex] (1)
Where [tex]r[/tex] is the square distance function.
We can modify (1) as following:
[tex]r = [27-3\cdot (y-2)^{2}]+y^{2}[/tex]
[tex]r = 27-3\cdot (y^{2}-4\cdot y +4)+y^{2}[/tex]
[tex]r = 27-3\cdot y^{2}+12\cdot y -12 + y^{2}[/tex]
[tex]r = -2\cdot y^{2}+12\cdot y+27[/tex] (1b)
Now we apply the First and second derivative tests to determine the minimum and maximum distances from the origin:
First derivative test
[tex]-4\cdot y +12 = 0[/tex]
[tex]y = 3[/tex]
Second derivative test
[tex]r'' = -4[/tex]
The y-component represents a maximum.
Now we graph the function with the ressource of a graphing tool, we find the following points:
Farthest points: [tex](-4.89, 3)[/tex], [tex](4.89, 3)[/tex].
Closest points: [tex](0, -1)[/tex].
[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.
To learn more on ellipses, we kindly invite to check this verified question: https://brainly.com/question/19507943
COULD SOMEONE HELP ME PLEASE I WILL MARK BRAINLIEST I BEG U PLEAASE PLEASEEEEEE
Answer:
I think it's B
Step-by-step explanation:
The ratio of the measures of the sides of a triangle is 5:7:8. Find the measures of each angle in the triangle.
Answer:
45°, 63°, 72°
Step-by-step explanation:
The sum of ratio units is 5+7+8=20, so each stands for 180°/20 = 9° of angle. Multiplying the ratio values by 9° gives the angle values:
45° : 63° : 72°