Hi. Please i need help with this . No jokes . I need help with (vii) and (ix)
Answers
9514 1404 393
Answer:
(vii) 25/4
(ix) -61/6
Step-by-step explanation:
(vii) Once again, we remind you that for ax²+bx+c=0, ...
α+β = -b/a = -(-7/2) = 7/2 = 3.5
αβ = c/a = -3/2 = -1.5
Then the desired expression is ...
α/(β+1) +β/(α+1) = (α² +α +β² +β)/((α+1)(β+1))
= ((α+β)² -2αβ +(α+β))/(αβ +(α+β) +1)
= (3.5² -2(-1.5) +3.5)/(-1.5 +3.5 +1) = 18.75/3 = 6.25 = 25/4
__
(ix) α/β +β/α = (α²+β²)/(αβ)
= ((α+β)² -2αβ)/(αβ) = (3.5² -2(-1.5))/-1.5 = 15.25/-1.5 = -61/6
Related Questions
A 190 inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece
Answers
Answer:
63.33333333333
Step-by-step explanation:
A band expects to put 16 songs on their next CD. The band writes and records 75% more songs than they expect to put on the CD. During the editing process, 75% of the songs are removed. How many songs will there be on the final CD?
Answers
Answer:
7 songs
Step-by-step explanation:
75% of 16 is 12
16 + 12 = 28
75% of 28 is 21
28 - 21 = 7
Answer:
7 songs
Step-by-step explanation:
Explain when it is appropriate to use a benchmark percent in solving a problem.
Answers
Answer:
The most common benchmark percents are 0%, 10%, 25%, 50%, 75% and 100%.
These benchmark values are sometimes used when estimating a solution involving percentages.
Real-World Example
If an item costs $36.00 and there is a 7% sales tax, the benchmark of 10% can be used to mentally estimate the sales tax of the item.
10% of 36, done mentally, is 3.6.
Since 7% is a bit less than 10%, the sales tax will be a bit less than $3.60.Step-by-step explanation:
ASAP someone please help me step by step so I can understand it better please
Answers
Answer:
Y=6
Step-by-step explanation:
Would 7x = 28 represent any geometric proof?
Answers
Answer: yes because the x could be 4 then 7 times 4 is 28 which would make this math sentence true
Step-by-step explanation:
Answer: Yes
Step-by-step explanation:
What is the x- intercept of the line that represents y=-4x+12
Answers
Answer:
3,0
for steps
Step-by-step explanation:
math
way
In a party Tom paid $540 including the cake and drink for his friend the cost of a person attending the party is $15 the cost of cake and drinks are $75 and $90 respectively find the number of friends that attended the party
Answers
15+75+90=180
540/180=3
(04.01 LC)
Which set of ordered pairs represents a function? (1 point)
a
{(0, 1), (1, 2), (2, 3), (3, 3)}
b
{(0, 1), (1, 2), (1, 3), (2, 5)}
c
{(0, 0), (1, 2), (2, 4), (2, 6)}
d
{(0, 0), (0, 1), (2, 0), (2, 4)}
Answers
Answer:
A
Step-by-step explanation:
natalie is baking cupcakes. Each cupcake needs ½ a cup of sugar. How many cupcakes can she make if she has 7 ⅓ cups of sugar? show your work
Answers
Answer:
14
Step-by-step explanation:
If each cupcake needs 1/2 cup of sugar, you need to divide the total cups of sugar by 1/2.
7 1/3 ÷ 1/2= 14.6
You cant have .6 of a cupcake, therefore she can make 14 cupcakes.
Ms. Moneyhun's son, Sam, just learned to crawl. He can crawl 20 ft in one minute. How many feet can Sam crawl in one hour? (Hint: there are 60 minutes in one hour)
Answers
Answer:
1200 ft in one hour
Step-by-step explanation:
The ratio of Sam crawling 20 ft in one minute can be written as:
20:1
Multiply the ratio by 60 to get the minutes to 60 minutes, because there are 60 minutes in an hour:
20 : 1
×60 ×60
To get:
1200:60 ⇒ This means Sam can crawl 1200 ft in 60 minutes, which is the same as 1200 ft in one hour.
Hope this helps! :)
Write an inequality for the graph below
Answers
Answer:
y ≤ -4x - 3
Step-by-step explanation:
First identify the line itself by using point slope [y - y1 = m(x - x1) ] given two points or find the slope by finding the rise of the line over the run [m = ∆y/∆x ] [∆ = change/difference]. Because you are already given the y-intercept, using the form y = mx + b, the y-intercept is -3 because that is where the line intersects the y axis or where x = 0 so b = -3.
Now from -3, you can tell that when you go 1 across, the line goes down 4 units so the slope or m must be -4. Because it goes from -3 to -7, that is a change of -4. This means the line is y = -4x - 3.
Because there is a solid line, and a shade (thought of as the y value) under the line, you will replace = [equal sign] with the ≤ [less than or equal sign]. Therefore the answer is y ≤ -4x - 3
Time (econds)
8. The table shows a person's annual
salary y (in thousands of dollars) after x
years of education beyond high school.
What is the annual salary,
Years of
of the person after Education Salas
8 years of education
beyond high school?
Annual
Answers
Answer:
76 the pattern goes in 12s every two years
Step-by-step explanation:
64 plus 12 is 76
HELP ASAP FOR BRAINLIEST
Answers
Answer: i am pretty sure its the first one
Step-by-step explanation:
i don't know for sure
Logically if you think about it, when x is at zero the y-value is also at 0. The number 0 will not find you the amount of wood gathered per hour.
As long as you can connect the hours (x-value) with the amount of wood (y-value) that meets on the line, then you should be able to determine the amount.
I hope that’s not too confusing. If so, send a comment and i can explain it to you further (:
18 POINTS
Classify the triangle described below. A triangle with measures of x∘, 4x∘, and 4x∘ is a(n)
A.Right B. Obtuse C. Acute triangle.
Answers
If f(x) = 2x^2 +1, what is f(x) when x = 3?
O1
O7
•13
O 19
Answers
Answer:
19
Step-by-step explanation:
Plug 3 in for (x)
You'd have: 2(3)²+1
Solve. Do parentheses first so... 3²=9
You now have: 2(9)+1
Solve
18+1 = 19
On Monday, Cathy read 1/6 of her book, and on Tuesday, she read 2/6 of the book. How much has she read
Answers
Answer:
1/2 of her book
Step-by-step explanation:
1/6 + 2/6 = 3/6 = 1/2
Answer:
I think that it is 1/2 of her books
Step-by-step explanation:
Hope this helped have an amazing day!
6th grade math i mark as brainliest
Answers
9514 1404 393
Answer:
8, 9. Correct
10. 6.1×t
Step-by-step explanation:
8, 9. The answers shown are correct.
__
10. The only product in the given expression is 6.1t, which can be written as ...
6.1×t
when a symbol is used to represent multiplication.
The parts of the product are the multiplicand and the multiplier. Those parts are also called factors.
What is the fraction that is halfway between 1/3 and 3/2
Answers
Answer:
11/12
Explanation:
1/3 + 3/2 = 11/6
11/6 x 1/2 (average is halfway) = 11/12
Answer:
-1/12.
Step-by-step explanation:
One way to do this is as follows
Answer = (3/2 + 1/3) / 2
= (9/6 + 2/6) / 2
= 11/6 / 2
= 11/12.
HELP ASAP PLEASE!!!!
Triangle ABC is similar to triangle PQR, as shown below: Which equation is correct? (1 point)
Answers
My question is in the picture please give an explanation. Thanks!
Answers
2x-2+3x because u can add 2x and 3x which will be 5x so it will be
5x-2
Hope this helps!!!
Is this graph a function? why or why not.
Answers
Answer:
The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
What is the value of X?
A: 15
B: 27
C: 45
D: 12
Answers
Answer:
D
Step-by-step explanation:
Hey guys i need help asap, here’s the problem (j-5)(5)
Answers
Answer:
5j-25
Step-by-step explanation:
Answer:
5j - 25
Step-by-step explanation:
Distribute #5 among j and -5
Translate into an equation: "The difference of half a number and 7 is the same as the sum of the number and 13"
Answers
Answer:
n2 - 7 = n + 13
If you answer my last question, I will answer yours :)
Answers
That profile pic is mine for almost everything.
My home email, my school email, EVERYTHING.
Except this
1. Naty bought a dress for $24.95 and a skirt for $14.95. The sales clerk said the total
cost including 9.5% sales tax was 49.40. Below are the steps the clerk completed.
Answer
Step 1: 24.95 + 14.95 = 39.90
clercks step
the percent
Step 2: 39.90 + 9.5 = 49.40
Are the clerk's steps correct? If she is incorrect, identify her mistake and explain her
error. Explain in writing how to accurately calculate the sales tax, total cost, and state
the correct total. (Round final answer to the nearest hundredth)
Answers
Answer:
Answer:
39.995=40.00
Step-by-step explanation:
0.095 is tax he just added 9.5 he is not correct
1. For a soccer party, Juan collects $90 for pizza. He must buy more than 5 pizzas to
feed the team. Pizzas are $7.25 for a small pizza and $10.50 for a large pizza. Let:
S = number of small pizzas he can buy & L = number of large pizzas he can buy.
Select the system of inequalities that represents this situation.
Answers
Answer:
7.25S + 10.50L ≤ 90
The system of inequalities that represents a given situation are S+L>5 and 7.25S+10.50L≤90.
Given that, For a soccer party, Juan collects $90 for pizza. He must buy more than 5 pizzas to feed the team. Pizzas are $7.25 for a small pizza and $10.50 for a large pizza.
What are inequalities?Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let S = the number of small pizzas he can buy and L = the number of large pizzas he can buy.
Juan must buy more than 5 pizzas to feed the team.
That is, S+L>5
Pizzas are $7.25 for a small pizza and $10.50 for a large pizza=7.25S+10.50L
Juan collects $90 for pizza. So, 7.25S+10.50L≤90
Therefore, the system of inequalities that represents a given situation are S+L>5 and 7.25S+10.50L≤90.
To learn more about the system of inequalities visit:
https://brainly.com/question/16339562.
#SPJ2
Sovle for x help !!!!!!!!!
Answers
Answer:
C) 115 degrees
Step-by-step explanation:
A line is 180 degrees.
This means that the other side of the line with an angle of 115 degrees will be 180-115=65 degrees.
The angle above that will be 115 and the other will be 65.
Line v is similar to line u. This means that it is 115 degrees because the question mark is at the spot that is 115 degrees in the above angles.
Please help!! Question is in the picture
Answers
Answer: (5,8)
Step-by-step explanation:
So this is a matter of using a system of linear equations
To start if a total of 13 people got a ticket then we know that
x+y=13
x and y being explained in the problem
then if adult tickets are $40 and children tickets are $20 and the total cost is 360 we can set up the next equation
40x+20y=360
If you were to plug in 1 lets say into x that means that 1 person bought a ticket for $40 this shown by 40 (1) this is the same premise for the childrens tickets.
now we have
x+y=13
40x+20y=360
now we can solve by eliminating one of the variables this is done by either getting rid of the x or y and solving for the other. I solved for the y value first this looks like
-40(x+y=13)
40x+20y=360
Distribute the -40 to each value
giving you
-40x-40y=-520
40x+20y=360
add these together from the top down
the x's cancel leaving
-20y=-160
then isolate the y value by dividing both sides by -20
-20y/-20=-160/-20
leaving you with your y point
y=8
This is how many childrens rickets were sold now we can plug into the first linear equation
x+8=13
now easy subtration to isolate the x point
x+8-8=13-8
x=5
Finally leaving you with point (5,8)
Which ordered pairs are soultions to the inequality y-2x<-3
Answers
Answer:
(-3, 3/2)
Step-by-step explanation:
Given the inequality function y-2x<-3, to get the solution, we will need to find the x and y-intercept of the inequality function
y-intercept occurs at x = 0
Substitute x = 0 into the expression
y - 2(0) < -3
y < -3
Find the x-intercept by substituting y = 0 into the expression
0 - 2x < -3
-2x < -3
x > 3/2
Hence the ordered pair is (x, y) = (-3, 3/2)