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
need some help (Geo)
The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows how much money was raised with t tickets sold.
$624 = $12t
What is the unit rate in the equation above?
A.
$624 per raffle ticket
B.
$52 per raffle ticket
C.
$612 per raffle ticket
D.
$12 per raffle ticket
Answer:
B. 52 per raffle ticket
Step-by-step explanation:
you divide 624 by 12 giving the answer of 52
How many terms are in 12x - 3 = 18
Answer: 1.75
Step-by-step explanation:
12x-3=18
+3 +3
12x=21
12 12
x=1.75
the radius of a circle is 4.53 inches what is the length of the circumference of the circle ?
Answer:
28.46in
Step-by-step explanation:
C=2πr
C=2π*4.53
C≈28.46in
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Scarlett sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 236 visitors purchased no costume. 202 visitors purchased exactly one costume. 40 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase no more than one costume as a fraction in simplest form.
Answer:
The probability that the next person will purchase no more than one costume [tex]\frac{219}{239}[/tex].
Step-by-step explanation:
The data for a single day is s follows:
236 visitors purchased no costume. 202 visitors purchased exactly one costume. 40 visitors purchased more than one costume.The total number of customers is, N = 236 + 202 + 40 = 478.
Let X denote the number of costumes purchased by the next person.
Compute the probability that the next person will purchase no more than one costume as follows:
[tex]P (X\leq 1)=1-P(X>1)[/tex]
[tex]=1-\frac{40}{478}\\\\=\frac{478-40}{478}\\\\=\frac{438}{478}\\\\=\frac{219}{239}[/tex]
Thus, the probability that the next person will purchase no more than one costume [tex]\frac{219}{239}[/tex].
All I need is help on these two so plz help me finish !!
Answer:5.86 9.26
Step-by-step explanation:
Answer:
For the first one it's 53 small cubes can fit in the right rectangle prism. For the second one the answer is A=120
Can somebody answer this short word problem but show the steps when u get answer thanks!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD
Answer:
8 dozen gingerbread men
Step-by-step explanation:
2 + 3 = 5
120 ÷ 5 = 24
24 x 4 = 96
96 ÷ 12 = 8
help pls!!!!!!!!!!!!!
The percentages, from left to right, are:
1) 56.25%
2) 18.75%
3) 18.75%
4) 6.25%
How to get the percentages?In this case, the 100% is 16.
We know that there are 9 individuals with black fur and black eyes, so we can write the equations:
100% = 16
X% = 9
We want to find the percentage X%. By combining these equations we get:
X% = (9/16)*100% = 56.25%
Now we can use the same equations for the other genotypes.
There are 3 units with black fur and red eyes, here the percentage is:
p = (3/16)*100% = 18.75%
There are 3 units with white fur and black eyes, so the percentage is:
p = (3/16)*100% = 18.75%
There is 1 unit with white fur and red eyes, so the percentage is:
p = (1/16)*100% = 6.25%
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Please help? I've been trying for a while
Answer:
3 hours
Step-by-step explanation:
yes.
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
The third side is 3√6 units.
Step-by-step explanation:
Given that this is a 90° triangle so you can apply Pythagoras Theorem :
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex] {a}^{2} = {( \sqrt{90}) }^{2} - {6}^{2} [/tex]
[tex] {a}^{2} = 90 - 36[/tex]
[tex] {a}^{2} = 54[/tex]
[tex]a = \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} [/tex]
just use theorem pythagoras
At a jewelry store, the necklace costs $380.60, but the store is having
a 75% discount for Valentines Day. What is the new price of the necklace?
$95.15
O $190.30
O $266.42
$285.45
Answer: 95.15
Step-by-step explanation:
To find the answer, you have to multiply the original cost by the percent subtracted from 100. For example, 380.60 x .25=95.15
(I got the .25 from subtracting 100-75, and the 75 is the percent)
Answer: 95.15
Step-by-step explanation:
Multiply 380.60 by .75 and you get 285.45 subtract 380.60 and 285.45 and you should get 95.15
PLS HELP ILL GIVE BRAINLIEST WHOEVER ANSWERS PLS :(
Answer:
stem: 5
leaf: 0, 6
stem: 6
leaf: 0, 2, 5, 6
stem: 7
leaf: 1, 5
stem: 8
leaf: 6
stem: 9
leaf: 9
i hope this helps <3
Step-by-step explanation:
the cost of 5 books and 4 pens is 115. if the cost of 1 book is RS 15 ,find the cost of 7 pens
Answer:
The cost of 7 pens is RS 70
Step-by-step explanation:
Let c=the cost of one book and p=the cost of one pen
5b+4p=115
b=15
5(15)+4p=115
75+4p=115
4p=115-75
4p=40
p=40/4
p=10
7p=7*10
7p=70
The cost of 7 pens is RS 70
I NEED HELP IF YOU DONT KNOW THE ANSWER DONT COMMENT.
Please help me
Answer:
Yeah
Step-by-step explanation:
1. understand time management
2. Value time.
3. use time wisely
4. take advantage of the opportunity of extra time.
5. smile, it's all linear! : )
How do you solve this
Answer:
<ABC=82°
< FEC=90°
Step-by-step explanation
Triangle ABC has an altitude AH that lies in the exterior of the triangle which of the following could be true about this figure
Answer:
In triangle ABC, angle B is obtuse.
Step-by-step explanation:
The type of triangle is obtuse, angle A and C are acute, angle B is obtuse.
find the slope of the line passing through the following steps of points: (7,-4) and (-3,8)
Answer:
-3
Step-by-step explanation:
Finding the Equation of a Line Given Two Points:
Most people when asked, “What is the equation of a line?”, will answer, “y = mx + b”. This is the
equation of a line in what is called slope-intercept form where “m” is the slope and “b” is the y-
intercept. So, how do you find the equation of a line? There are several different ways that you can find
the equation of a line. I find the equation of a line everytime by following the same three steps:
Step 1: Find the slope of the line.
Step 2: Use the slope to find the y-intercept.
Step 3: Use steps 1 and 2 to write the answer.
I will explain these steps by looking a several examples. Please understand that there are often several
different ways to complete each math problem, but I have found through the years that students are most
successful when the do problems the same way each and every time they attempt the problem. If you
know a different way to find the answer that is great, but I am going to show how to do the problem one
way and use the same technique everytime I see this problem.
Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).
Step 1: Find the slope of the line.
To find the slope of the line passing through these two points we need to use the slope
formula:
( )
( )
So the slope of the slope of the line passing through these two points is 3.
Step 2: Use the slope to find the y-intercept.
Now that we know the slope of the line is 3 we can plug the slope into the equation and
we get:
y = 3x + b
Next choose one of the two point to plug in for the values of x and y. It does not matter
which one of the two points you choose because you should get the same answer in either
case. I generally just choose the first point listed so I don’t have to worry about which
one I should choose.
(–1, –2) → –2 = 3(–1) + b Multiply to simplify the problem.
–2 = –3 + b Solve for b and you will have the y-intercept. b=1
Step 3: Write the answer.
Using the slope of 3 and the y-intercept of 1, the answer is:
y = 3x + 1
Solve the inequality of x. 2x + 6 < 18
The Answer isssssssss x<6
In an obtuse triangle, the measures of two angles are 20° and 10°. What is the measure of the third angle?
Answer:
150 degrees
Step-by-step explanation:
180-20-10
Answer:
10 degrees
Step-by-step explanation: Because the highest number is the only number while the other number can be doubled.
need help ASAP!!!! last minute hw i need to do
Our range is all set of y-values. Focus on y-value only.
Our range is {1,5,-1,7,-2}
So the answer is 1, 5,-1,7 and 2
Find all real numbers x that satisfy the equation (x-4)(x-8) = 12.
Answer:
10,2
Step-by-step explanation:
What is the solution of 5/2x-7=3/4x+14
Answer:
x = 12
Step-by-step explanation:
Find the sum (5p+11)+(8p-4)
Answer:
13p + 7Step-by-step explanation:
Combine your like terms!
Hope this helps!
Mr. Gurung sold a bicycle for Rs 18,816 and made a profit of 12%. if he wants
to increase his profit by 3%, at what price should be sell the bicycle
please help me:(
Answer:
Rs. 23520
Step-by-step explanation:
Given that :
At 12% profit ; sales price = 18,816
At (12 + 3)% profit ; sales price = x
Hence,
0.12 = 18,816
0.15 = x
Cross multiply ;
0.12x = 0.15 * 18816
0.12x = 2822.4
x = 2822.4 / 0.12
x = 23520
Hence, sales price for a 3% increaa in profit should be Rs. 23520
If A= {3 -2 and B= {0 -1 then what is AB?
1 4} 3 2}
Step-by-step explanation:
[tex]ab = ob - oa \\ ab = \binom{0}{ - 1} - \binom{3}{ - 2} \\ ab = \binom{ - 3}{ - 1} [/tex]
What are the solution points for the system graph?
A)
(0,2)
B)
No solution
C)
(0,1)
D)
(0,0)
Answer:
if i right it (0,2)
Step-by-step explanation:
i hope u get it right
Answer:
No Solutions
The two equations do not have any intersecting points, so the answer would be zero solutions.
Step-by-step explanation:
Help pls
Which point on the number line represents the rational
number-2 3/5?
23 ?
A
B
C
D
Answer:
c
Step-by-step explanation:
C is 3/5 of the way down on section -2
Answer:
Its A
Step-by-step explanation:
I just answered on edge
Christina owns a café. The graph shows the number of cups of tea that were sold at her café each hour past noon. Based on the model, approximately how many cups of tea can Christina expect to sell during the eighth hour?
Answer:
Where's the graph? I need the graph to answer
Approximately 175 cups of tea can Christina expect to sell during the eighth hour.
We need to find how many cups of tea can Christina expect to sell during the eighth hour.
How to interpret the graph?To interpret a graph or chart, read the title, look at the key, and read the labels. Then study the graph to understand what it shows. Read the title of the graph or chart. The title tells what information is being displayed.
From the given graph we can see that corresponding to the x-axis for the 8th hour along the y-axis 175 cups of tea were sold.
Therefore, 175 cups of tea were sold.
To learn more about the graphs visit:
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Name each type of slope
Answer:
1. Zero Slope
2. Negative Slope
3. Negative Slope
4. Undefined Slope
Step-by-step explanation:
What is the value of the 100th term in this arithmetic sequence?
5, 7, 9, 11, ...
Answer:
the 100th term would be 193
Step-by-step explanation:
5-(n-1) times 2
5-99 times 2
5-198
193
I hope this helps