Let r and s be the roots of x^2 - 6x + 2 = 0. Find (r - s)^2.
Answers
Answer: \((r-s)^{2} = 28\)
Step-by-step explanation:
\(x^{2} -6x+9=-2+9\) \((x-3)^{2}=7\) \((x-3)= -\sqrt{7}\) or \(\sqrt{7}\) <-- there's no plus/minus sign.\((x-3) = -\sqrt{7}\) \(x = 3 -\sqrt{7}\) <-- root.\((x-3) = \sqrt{7}\) \(x = 3+\sqrt{7}\) <-- root. \([(3-\sqrt{7})-(3+\sqrt{7})]^{2}\) \((3-\sqrt{7} -3 - \sqrt{7})^{2}\) <-- don't forget to distribute the negative.\((-2\sqrt{7})^{2}\) \((4)(7)\) \(28\)Related Questions
Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.
Answers
Answer:
B (second equation down on left) is equal to B (equation 2 down on right)
C=F
D=A
A=C
2. CF
3. DA
4. AC
Hope this helps you!
Solve for a: -4.5 = a - 8
Answers
You move the a so it a= -8+ 4.5
Then calculate -8+4.5 and you will get -3.5 and than change the negative sign to a plus and you’ll have a = 3.5
Answer:
3.5=a
Step-by-step explanation:
-4.5 = a - 8
+8 +8
3.5=a
your welcome
PLEASE HELP LOOK AT THE IMAGE
Answers
Answer:
33.(333)%
Step-by-step explanation:
1/3 of the pie is less than 3, so 33.(33)%
The three given side lengths can form a right triangle. Choose the process that correctly shows they are multiples of the given Pythagorean triple.
{32,40,68} for an 8-15-17 triple
A.) 32,40,68-8(32),15(60),17(68)
B.) 32,40,68-32(4),60(4),17(4)
C.) 32,40,68-1/32,1/40,1/68
Answers
help me please :))))))))))))
Answers
Answer:
dilation of 1/4 about the origin
Step-by-step explanation:
The number of marbles of different colors stored in a hat is listed below:
1 red marble
8 green marbles
9 blue marbles
Without looking in the hat, Ray takes out a marble at random. He replaces the marble and then takes out another marble from the hat. What is the probability that Ray takes out a blue marble in both draws? (5 points)
a
fraction 1 over 9
b
fraction 1 over 8
c
fraction 1 over 4
d
fraction 1 over 2
Answers
9 blue marbles
First pick = 9/18 or 1/2
Second pick = 9/18 or 1/2
1/2 * 1/2 = 1/4 C
how far was 14.5 from 14.4
Answers
Answer:
.1
Step-by-step explanation:
14.5-14.4=.1
Explanation:
Pls, help! A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 3. Find the probability of not rolling a number less than 3.
1/3; 2/3
1/2; 1/2
5/6; 1/2
1/6; 5/6
Brainlist for positive attitude and correct answer :D
Answers
Answer: The correct answer is:
Probability of rolling a number less than 3: 2/6 or 1/3
Step-by-step explanation:
Explanation: Out of the six possible outcomes (numbers 1, 2, 3, 4, 5, 6), there are two outcomes that meet the condition of rolling a number less than 3, which are 1 and 2. Therefore, the probability of rolling a number less than 3 is 2 out of 6, which simplifies to 1/3.
Probability of not rolling a number less than 3: 4/6 or 2/3.
Explanation: To find the probability of not rolling a number less than 3, we consider the outcomes that are not favorable (i.e., rolling a 3, 4, 5, or 6). There are four such outcomes, so the probability of not rolling a number less than 3 is 4 out of 6, which simplifies to 2/3. :D
what is the value of b in this equation (y^-9)^b=y^45
Answers
Answer:
-5
Step-by-step explanation:
Using rules of exponents we can change this equation to
y ^ (-9 * b) = y^45
-9*b = 45
b = -5
Answer:
The correct answer is - 5
Step-by-step explanation:
At the store you want to buy a bunch of 3d printed Christmas gifts for your family. Each large tree costs $4.50 , and each small tree costs $2.25, If you buy 4 large trees, and can spend a total of $50. Write and solve an inequality for number of small trees (s) you can buy
Answers
We know that each large tree costs $4.50, and each small tree costs $2.25. If you buy 4 large trees, that means you will spend 4 * $4.50 = $<<4*4.5=18>>18 on large trees.
If you can spend a total of $50, then you have $50 - $18 = $<<50-18=32>>32 to spend on small trees.
The total cost of the small trees will be s * $2.25, where s is the number of small trees you buy.
To find the maximum number of small trees you can buy, we can set this expression equal to $32 and solve for s:
s * $2.25 = $32
s = $32 / $2.25
s = 14.22
Since you can't buy a fraction of a tree, the maximum number of small trees you can buy is 14.
Answer:
If each large tree costs 4.50 and you need to buy 4, then 4 x 4.50 = $18.00 leaving you with $32.00. With these 32 dollars left, you can now buy 14 small trees, still being left with a remainder of 0.50$.
Step-by-step explanation:
20 POINTS TO WHOEVER GETS THIS RIGHT <3
What is the value of the expression below when x=8 and y=4
9x-2y
Answers
Answer 64
Step-by-step explanation: if x is 8 you do 8 x 9 which is 72. Then you do 2 x 4 which is 8. So now you have 72 - 8 which is 64.
Explanation
Please solve QUICKLY
Answers
Answer:
C
Step-by-step explanation:
It isn't B because the point does not start at 600 and it is not A because it shows the entire decrease of the mass in one millennium. The correct answer is c.
What is the median of this data set?
Answers
Answer:
58
Step-by-step explanation:
It is the middle point/dot
in the box with the line
Im not good at thisssss
Answers
Answer:
131.88 206 20 621.72 64 12 9580 :)
Yasin has tried to work the size of the angle marked g in the regular decagon below, using the fact that exterior angles sum to 360°. His workings are shown below.
a) Write a sentence to explain what Yasin has done wrong.
b) What is the size of angle g? Show all your workings.
Answers
well, Yasin is correct, the exterior angles are all 36° each, however "g" is including more than just that, Check the picture below.
Answer: 36 is wrong
Step-by-step explanation: 360 - 36 = 324 degrees
PLEASE HELP, i will give BRAINLIEST to the best answer.
Answers
PLEASEE help me!!!!!!
Answers
Answer:20Y*X
Step-by-step explanation:
The explanation is that she gets 20 dollars each month is simple you just read the graph.
Read the passage. Next, match the transition with the paragraph in which it would best be used.
Growing up, I really misunderstood wolves. Fairy tales, —1— "The Three Little Pigs," gave me a false impression. I pictured wolves as big, bad creatures that could blow down houses.
As a teenager, horror movies confused me —2—. I envisioned wolves as bloodthirsty beasts or humans trapped in another form.
—3—, things changed. In college, I went camping with friends. I witnessed my first wolf up close. —3—, I finally understood the beauty and grace of the majestic creature.
Transition paragraph
Match Term Definition
— notably A) paragraph 3
— even further B) paragraph 2
— in the end C) paragraph 1
Answers
Answer:
So this is verry simple and please vote me brainlyest
Step-by-step explanation:
Just think about what there saying
Growing up, I really misunderstood wolves. Fairy tales, —1— "The Three Little Pigs," gave me a false impression. Now chose a word that would fit. Well we know its not c or b so it has to be A.
Second
As a teenager, horror movies confused me —2—. I envisioned wolves as bloodthirsty beasts or humans trapped in another form.
Well we already used A and C just wouldnt make sence there so its b
Last
—3—, things changed. In college, I went camping with friends. I witnessed my first wolf up close. —3—, I finally understood the beauty and grace of the majestic creature. Well we already used the last so it has to be c
Answer:
Growing up, I really misunderstood wolves. Fairy tales, notably "The Three Little Pigs," gave me a false impression. I pictured wolves as big, bad creatures that could blow down houses.
As a teenager, horror movies confused me even further. I envisioned wolves as bloodthirsty beasts or humans trapped in another form.
In the end, things changed. In college, I went camping with friends. I witnessed my first wolf up close. In the end, I finally understood the beauty and grace of the majestic creature.
Which graph represents the function of f(x) = the quantity of 4 x squared minus 16, all over 2 x minus 4?
Provide the graph please
Answers
this is the graph for f(x)=(4x^2-16)/(2x-4)
Answer: Using this you would be able to plot the points on the graph, hope this helps you!
Y-int (0,4)
X-int (-2,0)
Slope 2
A chemist prepares two acid solutions.
Solution 1
3 parts sulfuric acid to 7 parts water
Solution 2
4 parts sulfuric acid to 9 parts water
a. Use a ratio table to determine which solution is more acidic.
Solution 1 Solution 2
Water Sulfuric Acid
Water
Sulfuric Acid
7
9
21
18
42
45
63
63
Question 2
Solution
has the greater concentration.
Question 3
b. Use a graph to determine which solution is more acidic.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Both graphs begin at $($ Response area, Response area $)$ . The graph for solution Response area is steeper, so it has Response area concentration of acid.
Answers
Answer:
Check Description for answer
Step-by-step explanation
do it urself
Answer:
A) solution 2 is more acidic than solution 1
Step-by-step explanation:
A chemist prepares two acid solutions:
Solution 1: 3 parts sulfuric acid to 7 parts water
Ratio of sulphur to water: 3/7 (3:7)
Solution 2: 4 parts sulfuric acid to 9 parts water
Ratio of sulphur to water: 4/9 (4:9)
___________________________________________________
Part A: (using ratios to determine which solution is more acidic)
First we make same denominator, since the denominators are 9 and 7, we have to find the lcm (lowest common multiple) they both have with is 63. To do that, we must multiply the denominators with either 7 or 9.
Solution 1: Numerator (3) multiplied by 9 and then denominator (7) multiplied by 9. This makes out fraction/ratio 27/63
Solution 2: Numerator (4) multiplied by 7 and then denominator (9) multiplied by 7. This makes out fraction/ratio 28/63
Since 28/63 (or just 28) is a larger quantity than 27/63 (or just 27) this means solution 2 is more acidic than solution 1.
Mathematical Line (Not sure what you would call this lol): 28 > 27
Part B: (Let 'y' amount of sulfuric acid mix with 'x' amount of water)
Equation of solution 1: y = 3/7x
Equation of solution 2: y = 4/9x
Please find attachment for graph.
Part C: Don't have a graph, sorry! (part a. method is more preferred to find more acidic because it gives the actual acidic amount.)
An experiment involves rolling two dice simultaneously. The following table shows the possible outcomes using the format of (die 1,die 2).
What is the probability of rolling 2 even numbers?
Answers
To determine the probability of rolling two even numbers, we need to find the favorable outcomes (outcomes with two even numbers) and divide it by the total number of possible outcomes.
The possible outcomes when rolling two dice are:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
Out of these, the favorable outcomes (outcomes with two even numbers) are:
(2,2), (2,4), (2,6), (4,2), (4,4), (4,6), (6,2), (6,4), (6,6)
Thus, there are 9 favorable outcomes.
The total number of possible outcomes is 36 (since each die has 6 possible outcomes).
Therefore, the probability of rolling 2 even numbers is:
\(\text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} = \frac{9}{36} = \frac{1}{4} = 0.25\)
Hence, the probability of rolling 2 even numbers is 0.25 or 1/4.
Trying to complete ASAP. You are throwing a party and have a 1-liter jar of sauce for dipping mozzarella sticks. Part A: Determine how many ounces are in 1 liter. Show every step of your work. (10 points) Part B: You need to use 2-ounce containers for your guests. How many of these containers can you fill with sauce? Show every step of your work. (2 points)
Answers
Answer:A. 33.814 ounces B. 17 containers.
Step-by-step explanation:
Since there is only 33.814 USA fluid ounces (fl. oz) A is answered.
\(\frac{33.814}{1}\) = 33.814
A. 33.814 ounces
Now that you need 2-ounce containters to fill with the 33.814 ounces (at this point you cant round to 34 ounces) how many cups do you need?
33.814/2 = 16.907 ounces (basicly 17 cups for the guests)
B. 17 containers.
Part A : The number of ounces in 1 liter is 33.814 ounces.
Part B : The number of containers that can fit the sauce is 17.
What is Unit Conversion?Unit conversion is defined as expressing the same quantity by different measurement units.
For example, a distance of 20 meter can be also expressed as 2000 cm. The distance is same.
Given that,
Amount of sauce for dipping mozzarella sticks = 1 liter
Part A :
We have the unit conversion,
1 liter = 33.814 ounces
Part B :
Measurement of containers = 2 ounces
Total amount of sauce = 33.814 ounces
We have to divide the total amount of sauce in to 2 ounce containers.
Number of containers formed = 33.814 / 2 = 16.907 ≈ 17
Hence there will be 17 containers of sauce.
Learn more about Units here :
https://brainly.com/question/19420601
#SPJ2
Graph the function and identify the domain and range. y=-4x^2
Algebra test unit:4 lesson:10
Quadratic Functions and Equations Unit Test Part 1
1.C, 2.B, 3.A, 4.C, 5.B, 6.A, 7.A, 8.B, 9.C, 10.B, 11.D, 12.A, 13.B, 14.B, 15.C, 16.C, 17.B, 18.C, 19.D, 20.B, 21.C,
Answers
Answer:
Domain: All real numbers, Range: All real numbers greater or equal to 0.
Step-by-step explanation:
A second order polynomial is a continuous function and therefore, domains is the set of all real numbers. Lastly, the range of the function according to the graph is all values of x greater or equal to 0. The positive leading coefficient of the polynomial indicates the existence of an absolute minimum.
The graph of function is attached below.
Domain of function is, (-∞ ,∞ )
Range of function is (-∞, 0)
Domain and range :The domain of function is defined as all input values to a function, for which function is defined.
Range of the function is output values to a particular input value.
Given function is,
\(y=-4x^{2}\)
This open down parabola.
Domain of function is, (-∞ ,∞ )
Range of function is (-∞, 0)
The graph of function is attached below.
Learn more about the domain and range of function here:
https://brainly.com/question/1942755
Which system of equations has no solution?
Answers
Answer:
B.
\({ \binom{7x - 2y = 9}{7x - 2y = 13} }\)
Use distributive property and area models to solve these equations . Show your work. 4 x 9.4 6.4 x 1.2 3.5 x 4.9 8.4 x 5.2
Answers
Answer:
1: 37.6
2: 7.68
3: 17.15
4: 43.68
Step-by-step explanation:
9.4*4=37.6
6.4*1.2=7.68
3.5*4.9=17.15
8.4*5.2=43.68
hope this helps, love. have a good day!
By using distributive property, the solution of the given equations is as follows 37.6, 7.68, 17.15, and 43.68.
What is distributive property?The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is
A(B + C) = AB + AC
This property is known by distributive law and applies to subtraction also.
4 x 9.4
By using distributive property
= 4(9 + 0.4)
= 36 + 1.6
= 37.6
6.4 x 1.2
By using distributive property
= 6.4( 1 + 0.2)
= 6.4 + 1.28
= 7.68
3.5 x 4.9
By using distributive property
= 3.5( 4 + 0.9)
= 14.0 + 3.15
= 17.15
8.4 x 5.2
By using distributive property
= 8.4(5 + 0.2)
= 42 + 1.68
= 43.68
Learn more about a distributive property;
https://brainly.com/question/12192455
A car is traveling at a rate of 50 miles per hour, while a motorcycle is traveling at 70 miles per hour. The car takes 4 hours longer to arrive at the destination. The equation representing the scenario is 50(x + 4) = 70x. What can be concluded about the equation? Check all that apply.
A The scenario is translated to car’s travel distance = motorcycle’s travel distance.
B The expression 70x represents the hours the motorcycle traveled.
C The expression (x + 4) represents the number of hours traveled by the car.
D The variable x represents the total hours driven by the motorcycle.
E The car’s travel distance is represented as 50(x + 4).
Answers
Answer:
C,DB
Step-by-step explanation:
Could someone pls help me with this :)
Write a linear equation for line A
Write a linear equation for line B
Write a linear equation for line C
Write a linear equation for line D
Answers
B) y = x + 3
C) x = -5
D) y = -2/1x -4
Answer:
a
y=0x-2
b
y=1x+3
c
y=no solutions/undefined,
d
y=-1/2x-4
Step-by-step explanation:
change in y / change in x
if the line passes through the top left part AND the bottom left part, slope's positive. if it passes through both of the other ones slope is negative. if it's parralell to one of the axis, the answer is undefined or 0, the horizontal one being 0
right away we can see line b's slope is positive, and line d's slope is negative.
y=mx+b
b is the y intercept
m is slope
Complete the statement using the specified property. Do NOT type spaces in your answer.
Associative property of addition: 21 + (9 + 8) = ? PLEASE HELP RN
Answers
Answer:
(21+9)+8
Step-by-step explanation:
The associative property allows you to group numbers in different ways.
21 + (9 + 8) = (21+9)+8
Answer:
9+(21+8) or 8+(21+9)
Step-by-step explanation:
Associative property is the property that explains how it does not matter the order of which an equation is multiplied or added by. Switching 9 and 21 will get your answer the same as switching any other number to the outside of the parenthesis.
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answers
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
Pls help very easy ASAP PLS
