Answers
Answer:
8) 4 + 2q²/p² - 4r/p + r²/p²9) (3/4, -9/4)10) (3/8, 41/16)Step-by-step explanation:
8. ============
Given
α and β are roots of px² + qx + r = 0The sum of the roots is α + β = -q/p, the product of then roots αβ = r/p
(2 + α²)(2 + β²) = 4 + 2(α² + β²) + (αβ)² =4 + 2((α + β)² -2αβ) + (αβ)² =4 + 2((-q/p)² - 2r/p) + (r/p)² =4 + 2q²/p² - 4r/p + r²/p²------------------------------
9. ============
Given function
y = 2x² - 3x - 1The minimum point is reached at vertex
The vertex is:
x = -b/2ax = -(-3)/2*2 = 3/4The corresponding y-coordinate is:
y = 2(3/4)² - 3(3/4) - 1 = 9/8 - 9/4 - 1 = 1/8(9 - 18 - 9) = - 18/8 = - 9/4So the point is:
(3/4, -9/4)---------------
10. ============
Given function
y = 2 - 3x - 4x²The maximum is reached at vertex
The vertex is:
x = -b/2ax = -(-3)/2(-4) = -3/8The corresponding y-coordinate is:
y = 2 - 3(-3/8) -4(-3/8)² = 2 + 9/8 - 9/16 = 1/16(32 + 18 - 9) = 41/16So the maximum point is:
(3/8, 41/16)Related Questions
Which equation represents the line containing the points (8,1) and (-4,-2)
Answers
Answer:
Answer is the 2nd one
Hope it was helpful
A square-base pyramid has the following measurements: The base edges are 3cm The height of the pyramid is 8cm What is the slant height of the pyramid?
Answers
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
good luck
what is a commission
Answers
Answer:
Commission-An instruction/command given to a person or group of people.
Answer:
It’s basically an instruction, command, or role given to a person or group.
Step-by-step explanation:
For questions 3 & 4, name the applicable polynomial identity and use the identity to multiply each expression.
3. (2 + 8)(2 − 8)
4. ( + 33)2
Answers
Answer:
The quadratic x2 − 5x + 6 factors as (x − 2)(x − 3). Hence the equation x2 − 5x + 6 = 0
has solutions x = 2 and x = 3.
Similarly we can factor the cubic x3 − 6x2 + 11x − 6 as (x − 1)(x − 2)(x − 3), which enables us to show that the solutions of x3 − 6x2 + 11x − 6 = 0 are x = 1, x = 2 or x = 3. In this module we will see how to arrive at this factorisation.
Polynomials in many respects behave like whole numbers or the integers. We can add, subtract and multiply two or more polynomials together to obtain another polynomial. Just as we can divide one whole number by another, producing a quotient and remainder, we can divide one polynomial by another and obtain a quotient and remainder, which are also polynomials.
A quadratic equation of the form ax2 + bx + c has either 0, 1 or 2 solutions, depending on whether the discriminant is negative, zero or positive. The number of solutions of the this equation assisted us in drawing the graph of the quadratic function y = ax2 + bx + c. Similarly, information about the roots of a polynomial equation enables us to give a rough sketch of the corresponding polynomial function.
As well as being intrinsically interesting objects, polynomials have important applications in the real world. One such application to error-correcting codes is discussed in the Appendix to this module.
Step-by-step explanation:
use (x+a)(x+b)=x2+(a+b)x+ab find 101*102
Answers
Answer:
[tex]101 * 102 = 10302[/tex]
Step-by-step explanation:
Given
[tex](x + a)(x + b) = x^2 + (a + b)x + ab[/tex]
Required
Find 101 * 102
[tex]101 * 102 =[/tex]
Express as a sum of 100
[tex](100 + 1) * (100 + 2)[/tex]
Compare this to [tex](x + a)(x + b)[/tex]
We have that:
[tex]x = 100[/tex]
[tex]a = 1[/tex]
[tex]b = 2[/tex]
Recall that:
[tex](x + a)(x + b) = x^2 + (a + b)x + ab[/tex]
Substitute 100 for x, 1 for a and 2 for b
[tex](100 + 1) * (100 + 2) = 100^2 + (1 + 2) * 100 + 1 * 2[/tex]
[tex](100 + 1) * (100 + 2) = 100^2 + 3 * 100 + 2[/tex]
[tex](100 + 1) * (100 + 2) = 10000 + 300 + 2[/tex]
[tex](100 + 1) * (100 + 2) = 10302[/tex]
Hence:
[tex]101 * 102 = 10302[/tex]
After two weeks of training Amanda learn a total of 5 appetizer recipes after 6 weeks of training she will learn blank appetizer recipe
Answers
Answer:
She will learn 15 appetizer recipes.
Step-by-step explanation:
Here's why........because 2 weeks equals 5 so if you divide 6 and 2 you will get 3 and multiply that by 5 you get 15.
PLZ HELP! DUE TODAY! I WILL GIVE BRAINLIEST TO PERSON WHO ANSWERS CORRECTLY!
Which of the following statements is not true?
|-2.2| > |2.1|
0.6 > -4.1
-7.4 < -5.2
|-1.5| < 0
Answers
Answer: D.
Step-by-step explanation:
The last statement is false.
Answer:
1 is false.
Step-by-step explanation:
1. Look at the signs.
2. Look at the number itself. If you are dealing with a positive, you count up to get higher numbers. If you are dealing with a negative(a number with - at the beginning) you count up to get lower numbers.
3. Compare the decimal in the number to the decimal in the other number.
4. Look at the greater-than and less-than signs.
5. Use what you know about positive and negative numbers and decimals and apply that to the statement. If the statement makes sense, it is true. If the statement does not make sense, it is false.
-x+ 5y = 1
- 2x + 10y = 2
Answers
Answer:
24
Step-by-step explanation:
There are 35 tickets in a bag and the ratio of winning tickets to losing tickets is 1 to 4. How many of each kind of ticket are in the bag?
Answers
There wiuld be 7 winning tickets and 28 losing tickets in the bag
Factor the polynomial expression 8x^2 + 2.
Answers
Answer: 4096
Step-by-step explanation:
(2x+i)(2x-1)
Harolds computer hard drive has 131.25 GB of free space which is about 17.5 of the capacity of his hard drive what is the capacity of the hard drive in GB
Answers
Answer: 1,000 gigabytes
Step-by-step explanation:
can 0 go into 4 and 4 go into 8 an 8 go into 12
Answers
Answer:
No
Step-by-step explanation:
Answer:
0 cannot go into 4
4 can go into 8
8 cannot go into 12
Camaro's are the best.
Answers
Answer:
I would love me a camaro
Step-by-step explanation:
Answer:
First car i wanted my whole life!!!!!
Step-by-step explanation:
Ethel is heading to the store to buy some fresh fruit. She wants to buy a pineapple for $4 and then wants to buy as many pounds of raspberries that she can. Raspberries are $3 per pound. She can spend at most $19. Write and solve an inequality to determine how many pounds of raspberries she can buy. Let x represent pounds of Raspberries.
Answers
Answer:
she can by 5 pounds of raspberries
Step-by-step explanation:
4 - 19 = 15
15 ÷ 3 = 5
How do I rewrite this expression?
Answers
Answer:
2 + i
Step-by-step explanation:
Given
[tex]\frac{4+\sqrt{16-(4)(5)} }{2}[/tex]
= [tex]\frac{4+\sqrt{16-20} }{2}[/tex]
= [tex]\frac{4+\sqrt{-4} }{2}[/tex]
= [tex]\frac{4+2i}{2}[/tex]
= 2 + i
Which is the best estimate for (6.3 times 10 Superscript negative 2 Baseline) (9.9 times 10 Superscript negative 3 Baseline) written in scientific notation? 6 times 10 Superscript negative 4 60 times 10 Superscript negative 5 6 times 10 Superscript 7 60 times 10 Superscript 6
Answers
Answer:
A
Step-by-step explanation:
solve for x
and give reasons for your answer
Answers
Answer:
80°
Step-by-step explanation:
alternate angles are equal
angles in a straight line add upto 180°
therefore angle ABC =80°
But it is alternate to the one at x.
Answer:
x = 80°
Step-by-step explanation:
∠CBD = ∠ABF
= 100°
(Vertically opposite angles are equal and AD and EH are parallel with CG cutting across both lines)
∠x = 180°-100°
= 80°
(∠ABF and ∠x are consecutive interior angles as they are within two parallel lines so they add up to 180°)
Graph the function.
5. g(x) = 3(x - 2)
10
8
03
N
2 4
6
8 10
10 8 6 4 2
-2
44
-6
-8
-101
Answers
Answer:
10 8 6 4 2 hope that helps
a tree is sold based on the circumference of the tree. if a tree has the radius of 4+inches, then what is the circumference of the tree
Answers
Answer:
The circumference of the tree will be: 25.12 inches
Step-by-step explanation:
The radius of the tree = r = 4 inches
As the tree is sold based on the circumference of the tree.
The formula of the circumference = C = 2πr
= 2(3.14)(4) ∵ r = 4 inches
= 25.12 inches
Therefore, the circumference of the tree will be: 25.12 inches
Simplify: √x16y36
Possible answers
x8y18
x8y6
x4y18
x4y6
Answers
Answer:
result(s) found
x8y18
See steps
Step by Step Solution:

Reformatting the input :
Changes made to your input should not affect the solution:
(1): "y3" was replaced by "y^3". 1 more similar replacement(s).
Simplify :sqrt(x16y36)
Simplify the Variable part of the SQRT
Rules for simplifing variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
(3.1) sqrt(x8)=x4
(3.2) sqrt(x-6)=x-3
(4) variables raised to an odd exponent which is >2 or <(-2) , examples:
(4.1) sqrt(x5)=x2•sqrt(x)
(4.2) sqrt(x-7)=x-3•sqrt(x-1)
Applying these rules to our case we find out that
SQRT(x16y36) = x8y18
Simplified Root :
x8y18
Step-by-step explanation:
please mark me as the brainliest thank you
solve for x pls help
Answers
Answer:
3
Step-by-step explanation:
simple
Expectations: Post at least 3 different ways to represent the number
Answers
Answer:
Step-by-step explanation:
8 1/4%
8.25%
0.0825
1. The monthly rent (1) for an office place is directly proportional to the size of the office
(a) if a 420 sq foot office rents for 12, 600 pesos per month, then what is the rent for a
900 sq foot office?
Answers
12600 = k x 420 divide 420 each side
30 = k
1 = 30 x 900
27,000 = monthly rent for 900 sq foot office
If you invest $1000 into an account that earns 8.5% interest each year, WHAT
EQUATION WOULD MODEL how much you would have after 35 years?
Answers
Answer:
i believe it would be 35(1000 x 8.5%)
Step-by-step explanation:
whats 9+10? correct answer gets brainliest
Answers
Answer:
21
Step-by-step explanation:
3. If F, G, and H are the midpoints of the sides
of AJKL, FG = 37, KL = 48, and GH = 30,
find each measure.
K
a) FH =
G
b) JL =
c) KJ =
d) FJ =
Answers
Answer:
Step-by-step explanation:
(a). FH = KL / 2 = 48 ÷ 2 = 24
(b). FG = JL / 2 = 37 ⇒ JL = 2 × FG = 74
(c). KJ = 2 × GH = 2(30) = 60
(d). FJ = KJ ÷ 2 = 30
simplify
-5v+3v
simplify
k-2-6+5k
Answers
Answer:
-5v+3v = -2v
k-2-6+5k = 6k - 8
Step-by-step explanation:
For -5v+3v
-5 + 3 = -2
V is left so it's -2v
For k-2-6+5k
k + 5k - 2 - 6
6k - 2 - 6
6k - 8
1) -5v + 3v
= -2v
2) k - 2 - 6 + 5k
First take all like terms (everything with the same letters):
k + 5k = 6k
6k - 2 - 6
-2 - 6
= -8
6k - 8
Two numbers multiply to -24 and add up to -5
Answers
Answer:
-8 and 3
Step-by-step explanation:
The asked numbers are -8 and 3.
What are equations?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given that, two numbers multiply to -24 and add up to -5
Let the two numbers be x and y
x+y = -5...(i)
xy = -24
x = -24/y...(ii)
Put eq (ii) in eq (i)
-24/y + y = -5
-24 + y² = -5y
y²+5y-24 = 0
Factorizing,
y = 8 and 3
Taking y = 3, put it in eq(ii)
x = -24/3
x = -8
Hence, the asked numbers are -8 and 3.
Learn more about equations, click;
https://brainly.com/question/29657988
#SPJ5
There are 2 busses. Bus A can travel 125 miles in 3 hours and bus B can travel 85 miles or than bus A within the same time. What is the miles of bus b
Answers
Determine the domain of the following graph:
y
11
9
8
7
4
3
2
1
-12-11-10-9-8
-6-5-4-3-2-1
1 2 3 4 5 6 7 8 9 10 11 12
-2
-4
-5
-6
-7
-8
-10
- 12
Answer:
Submit Answer
Or
<
8
G D
G]
6)
All Real Numbers
attempt 1 out of 2
Answers
Answer:
i need a pic of the graph to tell you the answer
Step-by-step explanation: