Which is the range of the relation y = 2x2 + 3x if the domain is the set {-2, -1, 0}?
A {10,1,0)
B.{-1,-5,0)
c. {2,-1,0)
D. (2. 1.0)
Answers
Given:
The function is:
[tex]y=2x^2+3x[/tex]
Domain is the set {-2, -1, 0).
To find:
The range of the given relation.
Solution:
We have,
[tex]y=2x^2+3x[/tex]
Substituting [tex]x=-2[/tex], we get
[tex]y=2(-2)^2+3(-2)[/tex]
[tex]y=2(4)+(-6)[/tex]
[tex]y=8-6[/tex]
[tex]y=2[/tex]
Substituting [tex]x=-1[/tex], we get
[tex]y=2(-1)^2+3(-1)[/tex]
[tex]y=2(1)+(-3)[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
Substituting [tex]x=0[/tex], we get
[tex]y=2(0)^2+3(0)[/tex]
[tex]y=0+0[/tex]
[tex]y=0[/tex]
The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).
Related Questions
What’s #1?????? Plz help
Answers
Answer:
C) [tex]400\pi[/tex]
Step-by-step explanation:
The formula for area is
A=pi * radius ^2
If the diameter is 40, the radius is 20
Therefore
[tex]A=\pi 20^{2} \\A=\pi 400[/tex]
Jamie has $150 in her savings account before the summer and will be saving $10 per hour babysitting this summer. Kate has $50 in her account before the summer and will be making $15 an hour teaching swim lessons. After how many hours of work will each friend have the same amount of money?
Answers
Answer:
10 horas los dos para tender 150
BRAINLIEST FOR CORRECT ANSWER!! Kenny leaves home and walks 10 blocks east and 24 blocks north to get to the movie theater. How far is the movie theater from Kenny’s home if he were to take a direct path?
Answers
Answer:
8.568cm
Step-by-step explanation:
IF Kenny leaves home and walks 10 blocks east and 24 blocks north to get to the movie theater, his distance from home to the theatre is gotten using the pythagoras theorem as shown;
d² = 23² + 10²
d² = 529 + 100
d² = 629
d = √629
d = 8.568
Hence the required distance is 8.568cm
7 1/2 divided by 3/4 =
Answers
Answer:
10
Step-by-step explanation:
[tex]7 \frac{1}{2} \div \frac{3}{4} \\ [/tex]
[tex] \frac{15}{2} \div \frac{3}{4} \\ [/tex]
[tex] \frac{15}{2} \times \frac{4}{3} \\ [/tex]
[tex] \frac{60}{6} = 10 \\ [/tex]
Triangle RST is made of points R(-10, 5.6), S(0, 7) and T(-6, -34).
If it is rotated 180° to form triangle R'S'T', enter the coordinates of T'.
?_? HELP
Answers
Answer:
Step-by-step explanation:
In the absence of additional information, will assume rotation is about the origin.
A 180° rotation about the origin has the equation
(x,y) => (-x,-y)
Therefore
R(-10, 5.6) => R'(10, -5.6)
S(0, 7) => S'(0, -7)
T(-6, -34) => T'(6, 34)
hi pls help i’ll give brainliest
Answers
Answer:
At the very tip of one of the spiral arms, at the edge of the milky way.
OR C
Forgive me if i'm wrong
...
Answer:
C. In one of the spiral arms, about halfway between the center and the edge.
Step-by-step explanation:
Our solar system is located in the Orion Arm which is halfway between the center and the edge of the Milky Way.
Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio, si avanza medio kilómetro en bus y lo demás a pie ¿Cuánto le falta caminar?
Answers
Answer:
Al estudiante le falta caminar [tex]\frac{1}{3}[/tex] de kilómetro.
Step-by-step explanation:
Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio. Dos tercios equivale a la fracción [tex]\frac{2}{3}[/tex] .
El estudiante avanza medio kilómetro en bus. Un medio equivale a la fracción [tex]\frac{1}{2}[/tex], por lo tanto un medio es la mitad de una cantidad. Para calcular la distancia recorrida en bus se realiza la siguiente multiplicación:
[tex]\frac{1}{2} *\frac{2}{3}[/tex]
Resolviendo:
[tex]\frac{1}{2} *\frac{2}{3} =\frac{1*2}{2*3} =\frac{2}{6} =\frac{1}{3}[/tex]
Entonces, la distancia recorrida en bus es [tex]\frac{1}{3}[/tex] de kilómetro.
Para calcular la distancia recorrida a pie se calcula la diferencia entre la distancia total a recorrer por el estudiante y la distancia recorrida en bus. Esto es:
[tex]\frac{2}{3} - \frac{1}{3}[/tex]
Resolviendo:
[tex]\frac{2}{3} - \frac{1}{3}=\frac{2-1}{3} =\frac{1}{3}[/tex]
Al estudiante le falta caminar [tex]\frac{1}{3}[/tex] de kilómetro.
Determine the quadratic equaion that
passes through the intercepts (-3,0) and
(-8,0).
Answers
The class party started with five chocolate cakes cut in fourths as shown below in the example.
Answers
============================================================
Explanation:
One large square cake cuts into 4 smaller slices
Since we have 5 such cakes that are cut like this, we have 5*4 = 20 slices all together.
Count the number of dark shaded slices that are shown in the lower diagram. We have 4+3+4+2 = 7+6 = 13 slices of cake that are left over. This must mean the class ate 20-13 = 7 slices.
The fraction of the cakes eaten is 7/20
Notes:
7/20 = 35/100 = 0.35 = 35%The fraction 7/20 cannot be reduced further because 7 and 20 have no common factors other than 1.Which of the following is the graph of:
(x-3)^2+(y+1)^2=9?
Answers
center = (3, -1)
radius = 3
==================================================
Explanation:
Rewrite the y+1 as y-(-1). Rewrite the 9 as 3^2
Then compare to the general form (x-h)^2+(y-k)^2 = r^2
You should find that h = 3, k = -1 and r = 3.
The center is (h, k) = (3,-1) and the radius is r = 3.
Choice A matches with that description.
Find x. Round to the nearest tenth
A: 5.0
B: 7.8
C: 3.9
D: 4.6
Answers
Answer:
D
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos40° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{6}[/tex] ( multiply both sides by 6 )
6 × cos40° = x , then
x ≈ 4.6 ( to 1 dec. place ) → D
pls help me!!!!!!
ASAPPPPP
Answers
Answer: 1.185921/3
Step-by-step explanation:
Answer:
1/3 x 1/3 x 1/3 x 1/3 = 1/81
Step-by-step explanation:
You are multiply 1/3 by itself 4 times since it is to the power of 4.
En un acuario compraron 30 peces y 18 tortugas de agua. Los van a colocar en peceras. Cada una tiene que haber la misma cantidad de peces, la misma cantidad de tortugas y la mayor cantidad de animales posibles ¿cuantas peceras compraron? ¿cuantos peces compraron? ¿cuantos peces y tortugas puede tener cada pecera? Diganme porfaa
Answers
Answer:
a) ¿Cuántas peceras compraron?
Según el cálculo anterior, la cantidad de peceras que compró es de 90 peceras.
b) ¿Cuántos peces y tortugas puede tener cada tanque?
3 peces por tanque
5 tortugas de agua por tanque
Step-by-step explanation:
Resolvemos la pregunta anterior utilizando el cálculo de múltiplo común más bajo
En un acuario compraron 30 peces y 18 tortugas de agua.
Encuentre y enumere los múltiplos de cada número hasta encontrar el primer múltiplo común. Este es el mínimo común múltiplo.
El mínimo común múltiplo es el número de tanques
Múltiplos de 18:
18, 36, 54, 72, 90, 108, 126
Múltiplos de 30:
30, 60, 90, 120, 150
Por lo tanto,
MCM (18; 30) = 90
a) ¿Cuántas peceras compraron?
Según el cálculo anterior, la cantidad de peceras que compró es de 90 peceras.
b) ¿Cuántos peces y tortugas puede tener cada tanque?
El número de peces que puede tener cada tanque = Número de tanques / Número de peces
= 90/30
= 3 peces por tanque
El número de tortugas de agua que puede tener cada tanque =
Número de tanques / Número de tortugas de agua
= 90/18
= 5 tortugas de agua por tanque
hey! i’ll give brainliest please help
Answers
Answer: The last choice
Tension between a characters two desires.
Step-by-step explanation:
External conflict includes
Man vs Man
Man vs Nature
Man vs society
which is what the first three choices show. while the last choice shows an internal conflict.
Simplify the algebraic expression: 4x + 8y + 7x² + 5x – 2y.
PLEASE ANSWER I NEED THIS DONE FOR MY STUDY GUIDE
Answers
Answer:
7x² + 9x + 6y
Step-by-step explanation:
7x² + 4x + 5x + 8y - 2y
Explanation needed
find the image of (1 2) after a reflection about y=-1 followed by a reflection about y=1
Answers
Answer:
A‘‘ (1,6)
Step-by-step explanation:
after a reflection about a horizontal line the x coordinates remain the same
the middle point of the segment AA’ lies on the line so it has y = -1
so we have
(y+y’)/2 = -1
y’ = -2 -y
y‘ = -2 -2 = -4
so A‘ (1,-4)
we can use the same reasoning to find the reflection about y = 1
x‘ = x
(y + y’)/2 = 1
y‘ = 2+4
y’ = 6
A‘‘(1,6)
5x - 7 = 2x + 11
x = ?
Answers
Answer:
6
Step-by-step explanation:
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-7 + 5x + -2x = 11 + 2x + -2x
Combine like terms: 5x + -2x = 3x
-7 + 3x = 11 + 2x + -2x
Combine like terms: 2x + -2x = 0
-7 + 3x = 11 + 0
-7 + 3x = 11
Add '7' to each side of the equation.
-7 + 7 + 3x = 11 + 7
Combine like terms: -7 + 7 = 0
0 + 3x = 11 + 7
3x = 11 + 7
Combine like terms: 11 + 7 = 18
3x = 18
Divide each side by '3'.
x = 6
Simplifying
x = 6
Answer:
x=6
Step-by-step explanation:
Solve 5x−7=2x+11.
Subtract 2x from both sides.
5x−7−2x=2x+11−2x
3x−7=11
Add 7 to both sides.
3x−7+7=11+7
3x=18
Divide both sides by 3.
[tex]\frac{3x}{3} =\frac{18}{3}[/tex]
x=6
Answer:
x=6
Help pleasee MARKED BRAILIEST!!!
Answers
Answer:
10 dance classes
Step-by-step explanation:
The last option is the correct answer.
( A student needs to take 10 dance classes to learn the routine. )
what is the domain of f(x) = - x2
Answers
Answer:
the domain is (-inf,inf)
Step-by-step explanation:
inf = infinity
Write the expression with fewer terms:
10x 2x
Answers
Answer:
12x
Step-by-step explanation:
Combine Like Terms
10x + 2x = 12x
A moving company charges $22.50 per hour plus a flat rate of $180 to help a person move from one house to another.
Joel would like to spend less than $315 to move.
How much time should Joel's move take to make sure the total cost is below $315?
Answers
What Is The Area Of The Triangle?
Answers
Answer:
It's 35, I don't think you need an explanation but if you do ask!
BxH/2
10 x 7/2
= 70/2
= 35
There are 12 sixth graders, 11 seventh
graders, and 13 eighth graders on a
soccer team. The coach randomly selects
one student to collect all of the soccer
balls. In how many ways can choosing
not an eighth grader occur?
Answers
Answer: 1
Step-by-step explanation:
because there not the only ones on the team
Question 3 of 10
What type of angle is angle M?
Answers
Answer:
it is a right angle
Step-by-step explanation:
hope this helps
Answer:
right
Step-by-step explanation:
Angle M is a right angle...
which if u find u will get 90...
ok LAST ONE I PRIMKSE
Answers
"sqrt" is shorthand for "square root". If you need x as well, it is x = 18
=============================================================
Explanation:
This is a 30-60-90 triangle. The hypotenuse is twice that of the short leg, so the hypotenuse is x = 2*9 = 18 units.
The long leg is sqrt(3) times the short leg, so y = 9sqrt(3)
You could use the trig ratios (sine, cosine, tangent) to help find these values.
Answer:
[tex]\displaystyle y = 9\sqrt{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 30°
Opposite Leg = 9
Adjacent Leg = y
Step 2: Solve for y
Substitute in variables [Tangent]: [tex]\displaystyle tan(30^\circ) = \frac{9}{y}[/tex][Multiplication Property of Equality] Cross-multiply: [tex]\displaystyle y = \frac{9}{tan(30^\circ)}[/tex]Evaluate: [tex]\displaystyle y = 9\sqrt{3}[/tex]
What is the value of tan O?
Answers
Answer:
In trigonometry, the value of tan 0 is 0. The word 'Trigonometry' is derived from the Greek word and the subject is developed to solve geometric problems involving triangles. It is used to measure the sides of a triangle.
Answer:
→ 0 (zero)
Step-by-step explanation:
The value of tan 0 is 0.
if the simple interest eamed on $8000 for 9 years is $2,160. Then what is the interest rate?
Answers
Answer:
3%
Step-by-step explanation:
2160/9 years =240/year
240/8000=3%
Find the volume of each figure. Simplify your answers.
Please help ASAPPP
thank you so much!!!!
Answers
Answer:
231.556
simplifyed?: 232
Answer the picture fast and correct
Answers
Answer:
8.75
Step-by-step explanation:
( 4×8) +3 = 35/4= 8.75
Answer:
8.75
Step-by-step explanation:
I think sorry that's only i know
There are 20 music downloads in my phone. Eight of them are country and the rest are hip-hop. Find the ratio of country to hip-hop songs on my phone in simplest form.
Answers
Answer:
8:12
Step-by-step explanation:
you have 20 music downloads and you already told me that eight are country so you use 20 to minus eight and you get the number of hip-hop then you do the ratio which is 20 minus 8 is 12 ratio from country to hip hop is 8:12