30 POINTS!!!!!!!!PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY IM JUST DUMB!! The graph represents the equation 2 + 2 = 8. Use this graph to answer questions 6, 7, and 8. PART A) Look at the graph of the equation 2 + 2 = 8. Give its domain and range. PART B) Use algebraic means to show that 2 + 2 = 8 is not a function. Explain your process.
Answers
Answer:
See below.
Step-by-step explanation:
So we have the graph of:
[tex]x^2+y^2=8[/tex]
As given, the graph is a circle with a radius of 2√2 and a center of (0,0)
Part 1)
The domain of a function is the span of x-values it covers and the range of a function is the span of y-values it covers.
From the graph, we can see that the x-values the graph covers goes from -2√2 to +2√2. The graph includes these values.
Thus, the domain is, in interval notation:
[tex][-2\sqrt2,2\sqrt2][/tex]
From the graph, we can see that the y-values the graph covers also goes from -2√2 to 2√2.
Therefore, like the domain, the range in interval notation is:
[tex][-2\sqrt2,2\sqrt2][/tex]
Part 2:
First of all, we can use the vertical line test to prove that the graph is indeed not a function.
Algebraically, we have to do some more.
First, recall what it means when an equation is not a function. It means that one x maps onto two or more ys.
In other words, to prove that the equation is not a function, we can substitute an x for a value and solve for y.
For instance, let's use 0 for x (and 0 is within the domain). Thus:
[tex]x^2+y^2=8\\(0)^2+y^2=8[/tex]
Simplify:
[tex]y^2=8[/tex]
Take the square root of both sides:
[tex]y=\pm\sqrt8\\y=\pm2\sqrt2[/tex]
In other words, when x is 0, y can be either -2√2 or 2√2. So we have two different y-values with the same x-coordinate.
[tex](0,-2\sqrt2)(0,2\sqrt2)[/tex]
Therefore, the equation is not a function.
Related Questions
A box measuring 11 inches by 10 inches by 7 inches is filled with solid wooden cubical blocks, each measuring 3 inches per side. How many wooden blocks can fit into the box
Answers
Answer:
28
Step-by-step explanation:
[tex]number \: of \: wooden \: blocks \\ = \frac{volume \: of \: box}{volume \: of \: one \: wooden \: block} \\ = \frac{11 \times 10 \times 7}{3 \times 3 \times 3} \\ = \frac{770}{27} \\ = 28.51 \\ [/tex]
Thus, there would be 28 full wooden blocks in the box.
Answer: 28 wooden blocks
Step-by-step explanation: First you must find the volume of the box with the formula: L × W × H so, 10 × 11 × 7 = 770 inches³. Second you must find the volume of the wooden blocks with the formula: x³ ( 'x' is the value of the side of the cube ) so, 3 × 3 × 3 = 27 inches³. Now you can divide the volume of the box by the volume of the wooden block = 770 ÷ 27 = 28.518...*
* Always only count the whole numbers.
What is the equation of a line with a slope of -3 and a y-intercept of 4?
Answers
Answer:
y = -3x+4Step-by-step explanation:
the equation of a line is: y = mx+b
Where:
m is the slope, and
b is the y-intercept
Replace m with -3 and replace b with 4, in the equation y=mx+b.
[tex]m = -3\\b =4\\\\y =mx+b\\\\y =-3x+4[/tex]
To make a salad dressing, a chef uses a ratio of 2 ounces of oil to 6 ounces of vinegar. The chef needs 24 ounces of dressing. How much oil is needed? 2 ounces 4 ounces 6 ounces 8 ounces 12 ounces also 8 ounces isn't right and when you find the answer can you show me how you worked it out?
Answers
Answer:
6 ounces of oil
Step-by-step explanation:
Well the first salad dressing is probably 8 ounces because 2+6 = 8
Then we must find out how large this recipe compares to the original
24/8 = 3
So we need all the ingredients to be tripled to keep the same ratio of 2:6
The new dressing has 2*3 ounces of oil and 6*3 ounces of vinegar
which equals 6 ounces of oil and 18 ounces of vinegar.
Hope this helps!
(pls mark brainliest)
Find the Product: (x+9i)^2
Answers
Answer:
x² + 18xi - 81
Step-by-step explanation:
FOIL - First, Outside, Inside, Last
Step 1: Write out expression
(x + 9i)²
Step 2: Expand
(x + 9i)(x + 9i)
Step 3: FOIL
F - x²
O - 9xi
I - 9xi
L - 81i²
Step 4: Combine
x² + 18xi + 81i²
Step 5: Simplify
i² = -1
x² + 18xi + 81(-1)
x² + 18xi - 81
janie bought 4 apples and 4 bananas .each apple costs 0.40 and each banana cost 0.40 enter an expression representing the total cost
Answers
A student who is interested in architecture and construction is taking a personal assessment. Which portions of a personal assessment could belong to this student? Select all that could apply. A 3-column table with 1 row. Column 1 is labeled Activities that describe what I like to do with entries 1, read and follow blueprints and or instructions; 2, picture in my mind what a finished product looks like; 3, work with my hands; 4, perform work that requires precise results; 5, solve technical problem; 6, visit and learn from beautiful, historic, or interesting buildings; 7, follow logical, step-by-step procedures. Column 2 is labeled Personal qualities that describe me with entries 1, curious, 2, good at following directions, 3, pay attention to detail, 4, good at visualizing possibilities, 5, patient and persistent. Column 3 is labeled School subjects that I like with entries 1, Math; 2, Drafting; 3,Physical sciences; 4, Construction trades; 5, Electric trades, Heating, Air conditioning, Refrigeration, and Technology Education. A 3-column table with 1 row. Column 1 is labeled Activities that describe what I like to do with entries 1, interpret formulas; 2, find answers to questions; 3, work in a laboratory; 4, figure out how things work and investigate new things; 5, explore new technology; 6, experiment to find the best way to do something; 7, pay attention to details and help things precise. Column 2 is labeled Personal qualities that describe me with entries 1, detail oriented; 2, inquisitive; 3, objective; 4, methodical; 5, mechanically inclined. Column 3 is labeled School subjects that I like with entries 1, Math; 2, Science; 3, Drafting, Computer aided drafting; 4, Electronics, Computer Networking; 5, Technical classes, Technology Education. A 3-column table with 1 row. Column 1 is labeled Activities that describe what I like to do with entries 1, work with my hands and learn that way; 2, do routine, organized, and accurate work; 3, perform activities that produce tangible results; 4, apply math to work out solutions; 5, use hand and power tools and operate equipment and machinery; 6, visualize objects in three dimensions from flat drawings. Column 2 is labeled Personal qualities that describe me with entries 1, practical; 2, observant; 3, physically active; 4, step-by-step thinker; 5, coordinated. Column 3 is labeled School subjects that I like with entries 1, Math and Geometry; 2, Chemistry; 3, Trade and Industry courses; 4, Physics; 5, Language Arts. A 3-column table with 1 row. Column 1 is labeled Activities that describe what I like to do with entries 1, work with computers; 2, reason clearly and logically to solve complex problems; 3, use machines, techniques, and processes; 4, read technical materials, and diagrams, and solve technical problems; 5, adapt to change; 6, play video games and figure out how they work; 7, concentrate for long periods without being distracted. Column 2 is labeled Personal qualities that describe me with entries 1, logical and analytical thinker; 2, see details in the big picture; 3, persistent; 4, good concentration skills; 5, precise and accurate. Column 3 is labeled School subjects that I like with entries 1, Math; 2, Science; 3, Computer tech and Applications; 4, Communications; 5, Graphic design. A 3-column table with 1 row. Column 1 is labeled Activities that describe what I like to do with entries 1, be involved in politics; 2, negotiate, defend, and debate ideas and topics; 3, plan activities and work cooperatively with others; 4, work with details; 5, perform a variety of duties that may change often; 6, analyze information and interpret it to other. Column 2 is labeled Personal qualities that describe me with entries 1, good communicator, competitive, service-minded, well organized, problem solver. Column 3 is labeled School subjects that I like with entries 1, Government; 2, Language Arts; 3, History; 4, Math; 5, Foreign Language.
Answers
Answer:
1 and 3
Step-by-step explanation:
Answer:
1 and 3
Step-by-step explanation:
took the quiz!!
What three forms can acceleration take?
Answers
Answer:
positive, negative, and volecity
Step-by-step explanation:
it has something to do with those three things....hope this helps at all
Answer:
a change in velocity, a change in direction, or a change in both velocity and direction.
Step-by-step explanation:
Use the order of operations to evaluate each expression.
5) 3+ (4)(5) +6+3
Answers
Answer:
44
Step-by-step explanation:
What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?
–10
–5
–3
–1
Answers
Answer: -1
Step-by-step explanation:
Given by your question
2(3x-1)≥4x-6
Distributive property to take off the parentheses
2×3x-2×1≥4x-6
6x-2≥4x-6
Subtract 4x on both sides (Subtractive property of equality)
6x-2-4x≥4x-6-4x
2x-2≥-6
Add 2 on both sides (Addition property of equality)
2x-2+2≥-6+2
2x≥-4
Divide 2 on both sides (Division property of equality)
2/2 x≥-4/2
x≥-2
----------------------------------------------------------------------------
Looking at the options you've provided.
-10 INCORRECT, it is not greater or equal to -2
-5 INCORRECT, it is not greater or equal to -2
-3 INCORRECT, it is not greater or equal to -2
-1 CORRECT, it is greater than -2
Hope this helps!! :)
Please let me know if you have any question
x = - 1
Step-by-step explanation:2(3x – 1) ≥ 4x – 6
6x - 2 ≥ 4x - 6
6x - 4x ≥ 2 - 6
2x ≥ - 4
x ≥ - 2
x ∈ [ - 2 ; + oo )
x = - 1
Choose all the sets containing the number pie
Answers
Answer:
The set of Real Numbers.
The set of Irrational Numbers.
The set of transcendental numbers.
Step-by-step explanation:
A jacket that normally sells for $45 is on sale with 20% off. What is the sale price? in dollars
Answers
Answer:
Step-by-step explanation:
The sales price would be $36.00
How I got this answer:
Discount: (45 x 20)/100 = $9.00 the nine dollars is your discount.
Final pricing:
45 - 9.00 = $36.00 when you subtract the cost with the discount you should get thirty-six dollars.
a farmer plants seven eggplants plants per 0.6m². how many eggplants can be plant in an area of 84m²?
Answers
Answer:
980 eggplants
Step-by-step explanation:
If a farmer plants 7 eggplants per 0.6 m², then
Eggplants in an area of 84 m²:
7/0.6*84 = 980Answer is 980
An electric pole, 14 metres high, casts a shadow of 10 metres. Find the height of a tree that casts
a shadow of 15 metres under similar conditions.
Answers
As shadow is directly propotional to height, we can say that,
Height/Shadow =k, where k is a constant.
So, in case of electric pole,
1410=k→(1)
In case of tree,
HT15=k→(2), where HT is height of tree
So, from (1) and (2),
1410=HT15
HT=14∗1510=21m
So, height of tree is 21 meters.
hope it helps thank youuuu
Order each set of numbers from least to greatest. 41 3 2 9 0.6 3' V 16' 9.
Answers
9. 0.6, 2/3, Square root of 9/16
9/16,2/3,0.6
7. Bruno noticed today's gasoline price at the local convenience store was advertised as $3.40 per gallon. This price is 15% above last year's price. Calculate last year's price. $ 3.55 O $ 3.25 O $ 2.96 O $ 2.40
Answers
Answer:
I'm pretty sure it $2.96
Answer:
option c) $ 2.96
Step-by-step explanation:
15% = 15 /100 = 0.15
Let last year's price = $ x
x + 15% of x = $ 3.40
x + 0.15*x = 3.40
x + 0.15x = 3.40 {Add like terms}
1.15x = 3.40 {Divide both sides by 1.15}
1.15x/1.15=3.40/1.15
x = 2.956
Last year's price = $ 2.96
What is the solution to the equation 3(4x+5) = 3x+12?
Answers
Answer:
-3
Step-by-step explanation:
12x+15=3x+12
12x-3x=-15+12
9x =-3
9÷-3
x=-3
Answer:
X= - 1/3Step-by-step explanation:
3(4x+5) = 3x+1212x + 15 = 3x + 1212x - 3x = 12 - 159x = - 3X = -3/9 = - 1/3Hope this helps..Here’s the picture for it
Answers
Answer:
Option (B)
Step-by-step explanation:
[tex]\begin{bmatrix}4 & 0\\ -1 & 2\\ -3 & -1\end{bmatrix}\times\begin{bmatrix}0 & 1 \\ -3 & 1\end{bmatrix}[/tex]
In the multiplication of two matrices we multiply the column of 1st matrix with the row of the 2nd matrix and add them.
= [tex]\begin{bmatrix}(4\times 0)+0(-3) &(4)1+0(1)\\ (-1)0+2(-3) &(-1)1+2(1)\\ (-3)0+(-1)(-3) &(-3)1+(-1)1 \end{bmatrix}[/tex]
= [tex]\begin{bmatrix}0 &4\\ -6 &1\\ 3 &-4 \end{bmatrix}[/tex]
Therefore, Option (B) will be the answer.
write the set of all even prime number
Answers
Answer:
{2}Step-by-step explanation:
The only even prime number is 2
Answer:
The even prime number is 2.
Please answer this . It’s of class 8 Thank you
Answers
Answer:
= (3/5)-³
= (5/3)³
= (5/3) × (5/3) × (5/3)
= (125/27)
Hope it helps.
-4(x+4)=-2(x+4) i need to know what makes the equation true?
Answers
Answer:
x=-1
Step-by-step explanation:
first distibute -> -4x-10=-2x+8
then add the x's and numbers
A woman has a total of
$
15,000
to invest. She invests part of the money in an account that pays
10
%
per year and the rest in an account that pays
12
%
per year. If the interest earned in the first year is
$
1720
, how much did she invest in each account?
Answers
$4,000 in the 10% per year account
$11,000 in the 12% per year account
Answer:
4000 for 10% a year
11000 for 12% a year
A baby carriage that is carrying twins is sitting at the top of a hill that is 21 m high. The carriage with the babies has a mass of 48 kg. What is the potential energy of the twins and the carriage?
Answers
Answer:
1,008 kg
Step-by-step explanation:
9,888 Joules
hope it help
thank you .....
What is a scale factor because i'm new to 7th grade and i'm clueless.
Answers
Answer:
A scale factor is a number which scales, or multiplies, some quantity.
Step-by-step explanation:
i.e: this shape multiplied by a scale factor of 2. Usually solved by a ratio
Simplify each expression:
a.) -72 = 8 + (-6) - 2
b.) -4 + (-32) = (-4.4)
Answers
Answer:
Step-by-step explanation:
a) -72 = 8 + -6 -2
-72 = 0
b) -4 + (-32) = (-4.4)
-36 = -4.4
Tito is installing a new kitchen floor. The kitchen is square in shape and has an area of 441 sq ft. What is the length of one side of Tito’s. Pls help me with this!
Answers
Answer:
21 feet
Step-by-step explanation:
The square root of 441 is 21 and since the room is a square, all sides are even.
1 3/8 multiplied by 4????????????????????
Answers
Answer:
5.5 or 5 1/2
I didn't know if you need decimal answer or fraction so I put both!
find the area of the figure
Answers
Answer:
[See Below]
Step-by-step explanation:
✦ In this figure there are two shapes; A triangle and a square. So you'll need to know the area formula for both:
✧ Square ∼ s² (Side Squared)
✧ Triangle ∼ ½ × b × h
✦ So now just solve for each area:
✧ Square ∼ 15² = 225
✧ Triangle ∼ ½ × 15 × 3 = 22.5
✦ Now add each area together to get the total area:
✧ 225 + 22.5 = 247.5
~Hope this helps Mate. If you need anything else feel free to message me.
What is the measure of ZRVE?
60°
7
8
mer
R
Answers
Answer:
45 degrees
Step-by-step explanation:
180 - 60 - 75 = 45
Angle RVE is the same as angle LVA
Answer:
this might help you....
.¿Cuál de las siguientes alternativas no corresponde a una transformación isométrica? A)Traslación B) Simetría C) Rotación D) Isometría C) Teselación
Answers
Answer:
D) Isometría
Step-by-step explanation:
Hola, D es la respuesta correcta porque la isometría no es una transformación isométrica, veamos por qué.
Una Transformación Isométrica es el cambio de forma, pero no por tamaño ni forma de la figura.
A. La traslación es una transformación isométrica porque desliza la figura a otro lugar, sin afectar su forma o tamaño.
B. La simetría es una transformación isométrica porque técnicamente es un reflejo, una vez más no afecta el tamaño o la forma de la figura.
C. La rotación es una transformación isométrica porque gira la figura, sin afectar el tamaño o la forma de la figura.
E. La teselación es una transformación isométrica porque une la misma forma, sin afectar el tamaño o la forma de la figura.
Dejándonos con D.
An asteroid follows a hyperbolic path defined by the equation 16x2 − 9y2 = 576. If one of its foci is the sun's position, the minimum distance between the asteroid and the sun is AU. (Note that x and y are expressed in astronomical units, AU.)
Answers
The given hyperbolic path defined as
divide both the sides by 576,
The general equation of
hyperbola is written as
;
Compare with above mention equation
Here
The distance between the asteroid and the sun is seen by figure -1
or
⇒c =10
The minimum distance between the asteroid and the sun is 10 -6 =4
Answer: 4
Step-by-step explanation: I got this right on Edmentum.