Answer:
In general, no.
Step-by-step explanation:
f(-x) = -f(x) when the function is "odd." Such a function is symmetrical about the origin. This will not generally be the case, so, in general, -f(x) ≠ f(-x).
_____
Additional comment
When f(-x) = f(x), the function is "even." It is symmetrical about the y-axis.
Among trig functions, sin(x) is odd, and cos(x) is even.
Among polynomials, any polynomial with only odd-degree terms is odd; any polynomial with only even-degree terms is even.
1.
Identify the minimum value of the function y = 3x^2 − 12x + 10.
A. −2
B. 10
C. 46
D. 2
Answer:
-2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The minimum value is the y- coordinate of the vertex
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = 3x² - 12x + 10 ← is in standard form
with a = 3 and b = - 12 , then
x = - [tex]\frac{-12}{6}[/tex] = 2
Substitute x = 2 into the function for corresponding y- coordinate
y = 3(2)² - 12(2) + 10 = 3(4) - 24 + 10 = 12 - 24 + 10 = - 2
Then minimum value of the function is - 2
Jon ate 1/3 of a bag of candies and Monica ate 1/4 of the bag. What fraction of the bag of candies did they eat?
Answer:
13 AND 14
Step-by-step explanation:
THERE IS NO PICTURE OR ANY ANSWERS
Need help really quick look at the picture thank you soooooooo,, muchh
Answer:
The answer would be -7/12
Step-by-step explanation:
Use math.way itll help you tremendously :)
make x the subject of the formula
y=a √x
Answer:
Y^2/a = x
Step-by-step explanation:
Y = a sqr X
Square both sides
Y^2 = a * x
Divide a
Y^2/a = x
Answer:
[tex] x = \dfrac{y^2}{a^2} [/tex]
Step-by-step explanation:
[tex] y = a\sqrt{x} [/tex]
Square both sides.
[tex] (y)^2 = (a\sqrt{x})^2 [/tex]
[tex] y^2 = a^2(\sqrt{x})^2 [/tex]
[tex] y^2 = a^2x [/tex]
Divide both sides by a².
[tex] \dfrac{y^2}{a^2} = x [/tex]
Switch sides.
[tex] x = \dfrac{y^2}{a^2} [/tex]
Write an equation of the parabola that passes through the point (62,-490) and has x-intercepts -8 and 72
Step-by-step explanation:
as x intercepts are -8 and 72 we realize that f(x)=a(x+8)(x-72)
we know that f(62)=-490 so a= -0.7
so f(x)= -0.7(x+8)(x-72)
a movie theater can seat 200 people. for one show 85 people are in the theater already. solve the inequality to find how many more people can attend this show
200-85=115 will be the answer.
How do you graph an equation using x and y intercepts.
Answer:
I'm going to use the following as an example.
[tex]2x + 4y = 8[/tex]
To find the y-intercept, set x equal to 0 then solve for y.
[tex]2(0) + 4y = 8[/tex]
two times zero is zero, so we have the following equation.
[tex]4y = 8[/tex]
Solve for y
[tex] \frac{4y}{4} = \frac{8}{4} \\ y = 2[/tex]
Your first point you will graph is (0, 2).
Now solve for the x intercept. To do this, set y = 0.
[tex]2x + 4(0) = 8[/tex]
4(0) = 0, so you can remove it, and solve for x.
[tex]2x = 8[/tex]
[tex] \frac{2x}{2} = \frac{8}{2} \\ x = 4[/tex]
Now the next point you have is (4, 0). plot that point. Connect the two points with a line and you are done.
how can i solve this
Answer: Ill show you some not everything so u can try
Step-by-step explanation: for example 8+y=92
you can make a new problem...
move the 92...
92
subtract
92-
subtract the other number which isnt the variable
92-8
subtract and you get your answer!
Step-by-step explanation:
an equation means that whatever is on one side of the "=" sign is truly equal to whatever is on the other side.
it is like a balance.
you can change the content on one side of the balance, but then you have to make the same change on the other side of the balance. otherwise the balanced relation between both sides is destroyed. and it is no longer an equation.
for the same reason, you can perform any mathematical operation on an equation, as long as you do it simultaneously on both sides.
all these equations are equations with one variable.
so, if we find a way to bring all terms with the variable to one side, and everything else (typically constant numbers) to the other side, while still maintaining the equation relation, then we can solve this by saying "this is only an equation, if the variable has this is that value".
and that is the whole trick.
so, for e.g. t + 3 = 5, how can we get only the variable on one side ? well, the "+ 3" is disturbing, so we subtract 3.
and to keep the balance, we need to subtract 3 on both sides.
that gives us then
t + 3 - 3 = 5 - 3
t = 2
and boom ! the equation has solved itself right in front of our eyes.
and the same thing for all the other equations.
find what is the disturbing additional term on the side of the variable, then get rid of it (and repeat that exact action on the other side) and see what is left on the other side. and you have solved the equation.
that works in every direction like
n + 22 = 5
n + 22 - 22 = 5 - 22
n = -17
12.5 = 7.4 + z
12.5 - 7.4 = 7.4 - 7.4 + z
5.1 = z or
z = 5.1
remember, it is an equation like a balance. you can switch the balance bowls from left to right and right to left, and still they are in balance.
a lake has an area of 63800000000 square meters.
write this area in square kilometers, correct to 2 significant figures
Answer:
64,000 (2 s.f)
Step-by-step explanation:
1 km is 1000 metres
so, 1 km² = 1000 x 1000 m²
i.e. 1 km² = 1,000,000 m²
=> 63,800,000,000/1,000,000 = 63,800
The second significant figure is 3 --> 3000
so, to the nearest 1000 we have 64,000 (2 s.f)
Hope it help and if it is correct please give brainliest
Thank You
A polynomial that has two terms is a(n) ?.
Answer: Binomial
Monomial= 1 term
Binomial= 2 terms
Trinomial=3 terms
Polynomial= 4 terms or more
Dan was thinking of a number. Dan doubles it and adds 0.8 to get an answer of 58.9. Form an equation with
x
from the information.
Answer:
2x + .8 = 58.9
His number, x, is 29.05
Step-by-step explanation:
2x + .8 = 58.9
2x = 58.1
x = 29.05
Geometry- Copy and complete the statement.
Answer:
X+y over y
Step-by-step explanation:
X+y over y
Hope it helps
leslie weighs her marbles in a jar and the scale reads 474 grams. The empty jat weighs 439 grams. each marble weighs 5. How many marbles are in the jar
Jayla made 36 sugar cookies for the class party. Before you got to class the teachers ate 9 cookies, and then your classmates ate 1/3 of the remaining cookies. How many cookies are left for you to eat?
Answer:
9 cookies are left
Step-by-step explanation:
36 - 9 = 27
27 · 1/3 = 9
which is not a factor of 36
Answer:
all numbers to 36 except 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Step-by-step explanation:
64091÷61=
PLZZ HELPPPPPPPPP
Answer:
1050.67213
Step-by-step explanation:
Martin's class has 28 students in it 25 % of those students are homesick today. How many students are home sick
plzz help me no link plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
Zara ate 50 almonds last week
Step-by-step explanation:
part to whole ratio is 50 : 100
150 divided by 2 is 75
100 divided by 50 is equal to 2
Zara ate 50 almonds last week
pls mark brainliest if this helped :)
Victoria is four years older than her neighbor the sum of their ages is no more than 14 years enter an inequality that can be used to represent the situation in the box where X represents Victoria’s neighbors age
Answer:
Victoria is 4 years older than her neighbor
Step-by-step explanation:
V = x + 4
x = neighbors age
x + x + 4 < = 14...here is the inequality
2x + 4 < = 14.....this is just a simplified form of the inequality
not sure which one u want to write, because they are both basically the same...one is just simplified a little
2x + 4 < = 14
2x < = 14 - 4
2x < = 10
x < = 10/2
x < = 5.....the oldest age of the neighbor is 5
(Hope this helps can I pls have brainlist (crown☺️)
Answer: 5
Step-by-step explanation:
Let x be the age of Victoria's neighbor.
Victoria's age is 4 years older than her neighbor, so her age can be represented as x + 4.
The sum of their ages is no more than 14 years, which can be written as:
x + (x + 4) ≤ 14
Simplifying the inequality:
2x + 4 ≤ 14
2x ≤ 10
x ≤ 5
Therefore, the inequality that represents this situation is x + (x + 4) ≤ 14, where x is less than or equal to 5.
can someone please help me!! this assignment is due at 11:59 I need this done
Answer:
x=16.782
Step-by-step explanation:
a=40*
b=20
c=90*
d=40* (corner in lower right corner, we know it equals 40* because all triangles equal 180*)
e=26.108 (bottom side)
Hope this helps! BH
What is the slope of the function?
m=
What is the y-intercept of the function?
b=
Which equation represents the graph of the function?
There were 3 full pizzas sitting on a counter. If Joe ate ¼ of a pie, Rhonda ate ⅜ of a pie, and Chris ate 4 slices, how many slices of pizza were left? (Assume each pie is cut into 8 slices.)
Answer:
15 slices
Step-by-step explanation:
Joe ate 2 slices (1/4 = 2/8), Rhoda ate 3 (3/8), Chris ate 4.
2+3+4= 9.
there are 3 pizzas divided into 8 slices per pizza.
3 x 8 = 24 ; 24 slices total
subtract 9 (that’s what was consumed) from 24.
24-9 = 15
I hope it helps.
[tex] \frac{8}{ax} - 5 = - 3[/tex]
Solve for x. Assume a doesn't equal 0.
Answer:
x=4/a
Step-by-step explanation:
8/ax - 5= -3
+5 +5
8/ax=2
* ax *ax
8=2ax
/2a /2a
8/2a=x
simplify
4/a=x
Is the system of equations consistent and independent,
consistent and dependent, or inconsistent?
y= -1/2x +3
y= 4x + 2
Select the correct answer from the drop-down menu.
Choose
Answer:
Consistent and independent
Step-by-step explanation:
If two lines intersect, then the following things are true.
1. they have different slopes.
2. one solution.
3. The system of equation is consistent and independent
Transform y = cot(x) to get the graph of. Which type of transformation is not performed? vertical shift horizontal shift vertical stretch horizontal stretch.
Transformation involves changing the form of the function
The transformation that is not performed is (a) vertical shift
The function is given as:
[tex]\mathbf{y = cot(x)}[/tex]
From the complete question, the transformed function is:
[tex]\mathbf{y=3cot[\frac 15(x+2)]}[/tex]
On y = cot(x); start by translating the function 2 units left.
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (x +2,y)}[/tex]
So, we have:
[tex]\mathbf{y = cot(x + 2)}[/tex]
Next, stretch the function horizontally by a factor of 1/5
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (\frac 15x,y)}[/tex]
So, we have:
[tex]\mathbf{y=cot[\frac 15(x+2)]}[/tex]
Lastly, stretch the function vertically by a factor of 3
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (x,3y)}[/tex]
So, we have:
[tex]\mathbf{y=3cot[\frac 15(x+2)]}[/tex]
From the above transformations, we have:
Horizontal shift Vertical stretch Horizontal stretchHence, the transformation that is not performed is (a) vertical shift
Read more about transformations at:
https://brainly.com/question/13801312
Answer:
vertical shift
Step-by-step explanation:
edge
write the sentence as an equation
46 less than m is 54.
Can someone please help me
Answer:
m - 46 = 54
Step-by-step explanation:
46 less than m is 54,
→ m - 46 = 54
Let's solve this equation,
→ m - 46 = 54
→ m = 54 + 46
→ [ m = 100 ]
So, the answer is 100.
Which situation can be represented by this inequality?
135 ≤ 10r + 15
Question 6 options:
A-Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs?
B-Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?
C-Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs?
D-Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?
The true option is: (d) Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?
The inequality is given as:
[tex]\mathbf{135 \le 10r + 15}[/tex]
Rewrite as:
[tex]\mathbf{10r + 15\ge 135 }[/tex]
From the options, we can see that the inequality represents songs in a music player.
Linear inequalities can be represented as:
[tex]\mathbf{mx + b \ge y}[/tex]
Where:
m represents the rate i.e. 10
b represents the y-intercept or base i.e. 15
>= represents at least
So, the inequality can be interpreted as:
10 songs are added every monthThe base number of songs is 15He wants to have at least 135 songsHence, the true option is (d)
Read more about linear inequalities at:
https://brainly.com/question/11897796
Type the missing digit below
6,387,_36 is divisible by 8.
help for brianlies nad 5 stars with many points
Step-by-step explanation:
I hope you understand it. Thank you for 50 points
Refer to the attachment
a rule in a relation in which each input is paired with, or assigned to, exactly one output.
Answer:
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Step-by-step explanation:
