Answer:
[tex]{ \tt{sum = \alpha + \beta = \frac{4}{3} }} \\ { \tt{product = \alpha \beta = \frac{6}{3} = 2}} \\ \\ new \: roots : \\ { \bf{sum = \frac{ \alpha }{ { \beta }^{2} } + \frac{ \beta }{ { \alpha }^{2} } }} \\ \\ { \bf{ = \frac{ { \beta }^{2} \alpha + { \alpha }^{2} \beta }{ { (\alpha \beta )}^{2} } }} \\ \\ = { \bf{ \frac{ \alpha \beta ( \alpha + \beta )}{ {( \alpha \beta )}^{2} } }} \\ \\ = { \tt{ \frac{2( \frac{4}{3}) }{2 {}^{2} } }} \\ \\ sum = \frac{2}{3} \\ \\ { \bf{product = \frac{1}{ \alpha \beta }}} \\ = \frac{1}{2} \\ \\ { \boxed{ \tt{equation : {2x}^{2} + \frac{4}{3} x + 1 }}}[/tex]
guys pls help me ASAP
Answer:
[tex]x=-2[/tex] ⇒ [tex]y=2[/tex]
[tex]x=-1[/tex] ⇒ [tex]y=-4[/tex]
[tex]x=0[/tex] ⇒ [tex]y=-6[/tex]
[tex]x=1[/tex] ⇒ [tex]y=-4[/tex]
Step-by-step explanation:
Formula: [tex]y=2x^{2} -6[/tex]
To find the value of [tex]y[/tex] add the value of [tex]x[/tex] given:
Now solve for each:-
For:
[tex]x=-2[/tex]
[tex]y=2(-2)^{2} -6[/tex]
[tex]y=2[/tex]
For:
[tex]x=-1[/tex]
[tex]y=2(-1)^{2} -6[/tex]
[tex]y=-4[/tex]
For:
[tex]x=0[/tex]
[tex]y=2(0)^{2} -6[/tex]
[tex]y=-6[/tex]
For:
[tex]x=1[/tex]
[tex]y=2(1)^{2}-6[/tex]
[tex]y=-4[/tex]
hope this helps.....
For the given function, determine consecutive values of x between which each real zero is located. f(x)= -8x^4-3x^3-11x^2+8x+16
Answer:
Option C: there are zeros between x = 1 and x = 2, x = 0 and x = -1
Step-by-step explanation:
The function is given as;
f(x) = -8x⁴ - 3x³ - 11x² + 8x + 16
Since it's the real zero of the polynomial we are looking for, it means there is a possibility of getting an imaginary zero of the polynomial.
A zero is the value of x that will make the polynomial equal to zero.
Let's try;
x = -2;
f(-2) = -8(-2)⁴ - 3(-2)³ - 11(-2)² + 8(-2) + 16
f(-2) = -128 + 24 - 44 - 16 + 16
f(-2) = -148
Let's try x = -1;
f(-1) = -8(-1)⁴ - 3(-1)³ - 11(-1)² + 8(-1) + 16
f(-1) = -8 + 3 - 11 - 8 + 16
f(-1) = -8
Let's try x = 0;
f(0) = -8(0)⁴ - 3(0)³ - 11(0)² + 8(0) + 16
f(0) = 16
Lets try x = 1
f(1) = -8(1)⁴ - 3(1)³ - 11(1)² + 8(1) + 16
f(1) = -8 - 3 - 11 + 8 + 16
f(1) = 2
Let's try x = 2;
f(2) = -8(2)⁴ - 3(2)³ - 11(2)² + 8(2) + 16
f(2) = -128 - 24 - 44 + 16 + 16
f(2) = -164
From the values of f(x) gotten from x= -2 to x =2, we can see that the zeros will be closest to x = 0 and x = - 1 and also between x = 1 and x = 2 since that is the range that produced f(x) to be close to zero.
Which of the following sets of numbers could not represent the three sides of a right triangle?
Answer:
25, 32, 40 can not form a right angle triangle.
Step-by-step explanation:
By Pythagoras theorem,
⇒ (40)² = (25)² + (32)²
⇒ 1600 = 625 + 1024
⇒ 1600 ≠ 1689
Answer:
option b
Step-by-step explanation:
according to the pythagoras theorem to be right angled triangle the sum of square of two smaller sides must be equal to the square of hypotenuse.
so ,
20 and 21 are smaller sides and hypotenuse be 29
pythagoras theorem
a^2 + b^2 = c^2
20^2 + 21^2 = 29^2
400 + 441 = 841
841 = 841 (since both sides are equal it forms right angled triangle)
25 and 32 are smaller sides and 40 be hypotenuse
a^2 + b^2 = c^2
25^2 + 32^2 = 40^2
625 + 1024 = 1600
1649 = 1600 (both sides are not equal so it does not form right angle triangle)
30 and 72 are smaller sides whereas 78 is hypotenuse
a^2 + b^2 = c^2
30^2 + 72^2 = 78^2
900 + 5184 = 6084
6084 = 6084 (since both sides are equal it forms right angled triangle )
32 and 60 are smaller sides and 68 is hypotenuse
a^2 + b^2 = c^2
32^2 + 60^2 = 68^2
1024 + 3600 = 4624
4624 = 4624 (since both sides are equal it forms right angled triangle )
Help me solve these 4 plssss ASAP
Step-by-step explanation:
[tex]1) \\ - 2 \leqslant x \leqslant 1 \\ 2) \\ - 3 > x \geqslant 2 \\ 3) \\ x> 0[/tex]
[tex]4) \\ x \leqslant - 3 \\ 5) \\ - 4 \leqslant x \geqslant 1[/tex]
[tex]6) \\ - 2< x \leqslant 0[/tex]
10.
Consider the number 1750
Find the least number which must be added so as to get a perfect square?
Find the square root of the number obtained?
Answer:
if you add 14 to 1750 you will get 1764 which equals 42²
Step-by-step explanation:
Why are 1997 pennies worth almost twenty dollars
Answer: Most 1997 pennies in circulated condition are only worth their face value of $0.01. These coins can only sell for a premium in uncirculated condition. The 1997 penny with no mint mark and the 1997 D penny are each worth around $0.30 in uncirculated condition with an MS 65 grade. unless you have an very rare 1997 penny thats then when it would become worth 20$
What are biofertilisiers
Answer:
Step-by-step explanation:
biofertilizers are fertilizers consist of micro-organisms that will help plant growth. they are different from traditional fertilizers which consist of chemicals
Answer:
Any fertilizers involving living organisms, or the products obtained from living organisms can be referred to as biofertilizer, although nowadays, the term is generally used for living organisms used for fertilizer purpose.
Step-by-step explanation:
Hope this helps
5x+y=1
10x-6=34
pleasee
Answer:
=>x=4
therefore y= -19
Answer:
x = 4, y = - 19
Step-by-step explanation:
Given the 2 equations
5x + y = 1 → (1)
10x - 6 = 34 → (2) , which can be solved as
10x = 40 ( divide both sides by 10 )
x = 4
Substitute x = 4 into (1) and solve for y
5(4) + y = 1
20 + y = 1 ( subtract 20 from both sides )
y = - 19
Kira looked though online census information to determine the average number of people living in the homes in her city
First we need to identify if the data is qualitative or quantitative.
The data is average number of people living in the homes.
Qualitative data as its name indicates is an attribute or characteristic. It can not be measured e.g color. Quantitative data is such a data which can be counted or measured.
Since the average number of people can be counted and measured, the data is Quantitative.
In an observational study the individuals are observed. In the given case, Kira did not observed the individuals to gather the data, rather she used an Online resource to gather the data.
Therefore, the correct answer will be:Kira used published data that is quantitative.
Source: i found it in another brainly question which was the same as your question and was expert verified so i hope this helped
Solve for n.
11(n – 1) + 35 = 3n
Answer:
n = -3
Step-by-step explanation:
11(n – 1) + 35 = 3n
Distribute
11n -11 +35 = 3n
Combine like terms
11n +24 = 3n
Subtract 11n from each side
11n+24 -11n = 3n -11n
24 = -8n
Divide by -8
24/-8 = -8n=-8
-3 =n
What is the measure of ZR?
8
8
P
R.
A. 32°
B. 40°
O
C. Cannot be determined
D. 64°
Answer:
option A
Step-by-step explanation:
since the two sides of the triangle are equal the given triangle is an isosceles triangle.
Base angles of an isosceles triangle are equal.
angle P = angle R
32 degree = angle R
The measure of <QRP = 32 degree.
What is an Isosceles Triangle?An isosceles triangle is one with two sides that are the same size and a third side that is a different size.
According to the isosceles triangle theorem, if two sides of a triangle are congruent, the angles across from those sides are likewise congruent.
We have,
A triangle whose two sides are 8 unit each and an angle 32.
As, we know a triangle whose two sides are equal is said to be isosceles triangle.
So, the given triangle is isosceles.
Now, angle opposite to equal sides are also equal.
so, <QPR = <QRP = 32 degree
Learn more about isosceles triangle here:
https://brainly.com/question/2456591
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if x4 + 1/x4 = 4 find the value of x2+1/x2
Answer:
Hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
Step-by-step explanation:
I think its 2
can someone help please? i don’t know the answer.
Answer:
C) 119.75 + 2.25p <= 500; p <= 169
Step-by-step explanation:
My friend, for this problem you must realize that there is a fixed cost of 119.75 that we add always. Then $2.25 per pastry manufactured is also part of the total costs. Thus, we add both of them where p represents pastry to get 119.75 + 2.25p.
But, the question says the shopkeeper would like to stay under or be exactly at $500 for total costs. Thus, for this inequality, we set this equation as being less than equal to 500.
Solve for p by adding 119.75 on both side and dividing both sides by 2.25 afterwards and you get 169.
What is the value of x in the diagram below?
Answer:
57
Step-by-step explanation:
the whole angle is 90
So 90 minus 33 is 57
Given the following equation x2 + 12x = x - 24 find the solutions.
(Show All Work)
16a) Set the equation equal to 0 by inverse operations.
16b) Place the equation in factored form.
16c) Set each factor equal to 0 and solve for x.
Answer:
OK , so I'll follow all your instructions:
x² + 12x - x + 24 = 0
x² + 11x + 24 = 0.......product = 24, sum= 11 & factors = 3 & 8
(x² + 3x ) (+ 8x + 24) =0
x ( x + 3) + 8 ( x + 3)=0
( x + 3 ) ( x + 8)=0
x +3 = 0 or x + 8= 0
x = -3. or x = -8
Which equation shows how to use equivalent fractions to evaluate 5/7 + 1/2.
Choose 1 answer:
Answer:
last one
Step-by-step explanation:
[tex]\frac{5}{7}[/tex] = [tex]\frac{10}{14}[/tex]
[tex]\frac{1}{2}[/tex] = [tex]\frac{7}{14}[/tex]
need common denominators to add fractions.
what ever is multiplied to the bottom needs to be multiplied to the top
for example : [tex]\frac{5}{7}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{10}{14}[/tex]
Pls help ASAP I’m so lost with this and I need this done quick
Answer:
the slope of the graph is 3/2
Step-by-step explanation:
Find the value of x. Around the length to the nearest tenth.
Answer:
x = 6 m
Step-by-step explanation:
x = 16sin22°
x = 6.0 m
Answer:
Step-by-step explanation:
convert the surveyor's bearing 145° to a compass bearing
Answer:
S55°E is the compass bearing
Step-by-step explanation:
145° - 90° = 55°
The bearing will be in between South and East because from North to South is 180° and 145° is bigger than 90°
help meeeeeeeeeeee (25 points)
Answer:
239 mm^2
Step-by-step explanation:
We will split the figure into 3 pieces
The bottom rectangle
A = l*w = 7*3 = 21 mm^2
The top rectangle
A = l*w = 5*10 = 50 mm^2
The right triangle
A = 1/2 b*h = 1/2 ( 16) * (16+5) = 8 * (21) = 168 mm^2
The total area is 21+50+168 =239
Please help and thank u
Answer:
The answer to this question is C.
A stationer fixes an equal rate of profit in his each item . If he sells a calculator costing Rs 700 for Rs 756 , how much should a customer pay for a novel book costing Rs 450 ?
Answer:
The customer should pay RS 506 for a novel book costing RS 450.
Step-by-step explanation:
We are given that
Selling price of calculator, S.P=RS 756
Cost of calculator, C.P=RS 700
We have to find S.P of novel book when the cost of novel book RS 450.
Profit=S.P-C.P
Profit=756-700
Profit=RS 56
Profit of each item is equal.
Therefore, profit for novel book=RS 56
C.P of novel book=RS 450
S.P=C.P+ Profit
Using the formula
S.P=450+56
S.P=RS 506
Hence, the customer should pay RS 506 for a novel book costing RS 450.
Please help
is not a exam is a activity
Answer:
y= 5x
Step-by-step explanation:
since each x number is 1/5 of the y, it's 5 times x = y
ILL MARK BRAINLIEST FIRST ANSWER I PROMISE !!!
( if it's absurd i'll report, sorry )
If y represents a student's age, which inequality shows that you must be older than 14 to try out for the basketball team?
a. y>14
b. y≥14
c. y<14
d. 14=y
Answer:
a) y > 14
Step-by-step explanation:
Explain in your own words why it takes more to prove quadrilaterals congruent. Include examples demonstrating how ""just angles"" or ""just sides"" is not enough.
Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°
Meaning of Congruent quadrilateralsA quadrilateral can be defined as a polygon shape that possesses four sides.
Congruent quadrilaterals are those quadrilaterals that are similar in sides and angles.
For example, a parallelogram needs to be proved by both the sides and the angles
In conclusion, Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°
Learn more about Congruent quadrilaterals: https://brainly.com/question/224113
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Find the distance between the points (11,4) and (10,5)
If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).
Answer:
D. 3x + 1
Step-by-step explanation:
message
The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students can accept a maximum of 460 cans and bottles.
Write a system of inequalities that can be used to represent this situation.
The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer
Answer:
Part A
x + y ≤ 460
2.5·x + 1.25·y ≥ 600
Part B
192 bottles
Step-by-step explanation:
The given parameters are;
The selling price of a can of lemonade = $2.50
The selling price for each bottle of water = $1.25
The amount the club needs to raise to cover the cost of renting costumes, A = $600
The maximum acceptable cans and bottles = 460
Part A
Let 'x', represent the number of cans of lemonade accepted by the students, and let 'y' represent the number of bottles of water accepted, we have;
The situation can be represented by the following system of inequalities
x + y ≤ 460
2.5·x + 1.25·y ≥ 600
Part B
The number of cans of lemonade sold, x = 144
Therefore, we have;
2.5 × 144 + 1.25·y ≥ 600
1.25·y ≥ 600 - 2.5 × 144 = 240
1.25·y ≥ 240
y ≥ 240/1.25 = 192
y ≥ 192
The least number of bottles of water that must be sold to cover the cost of renting costumes, y = 192 bottles
Find the area of this triangle.
17 cm
10 cm
8 cm
21 cm
A = [ ? ] cm2
Answer:
84 cm^2
Step-by-step explanation:
8 * 21/2=84
A group of people were asked if they had run a red light in the last year where 140 responded "yes," and 208 responded "no." If a person is randomly chosen, find the probability that he/she has run a red light in the last year. Give your answer as a fraction or decimal.
Answer:
35/87
Step-by-step explanation:
To find the probability, we must find (total number of favorable outcomes)/ (total number of outcomes). We thus need to find the total number of outcomes. As people have only answered "yes" or "no", the total number of outcomes is 208+140 = 348.
The total number of favorable outcomes, or what we're looking for, is 140 (140 people responded that they had run a red light). Thus, our fraction is 140/348, or 35/87
