If ∝ and β are the roots of the quadratic equation x² – x – 2 = 0 then ∝² + β² is equal to​

Answer:

Step-by-step explanation:

126 + 44 = 170 ( total for under 25s)

186 - 56 = 130 (online for 25s - 50s)

154 - 58 = 96 ( in stores for aboves 50s)

314 for ONLINE TOTAL

196 for IN STORES TOTAL

510 for TOTAL TOTAL

A = 170

B = 56

C = 96

D = 96 - 58 = 38

E = 314 - 196 = 118

F = 510

Answer:

a=3

b=3

Step-by-step explanation:

(2xy)^4

----------------

4xy

Expand the numerator

2^4 x^4 y^4

---------------------

4xy

Simplify

16 x^4 y^4

---------------------

4xy

We know that a^b / a^c = a^(b-c)

16/4 * x^(4-1)  y^(4-1)

4 x^3 y^3

Answer:

a = 3 & b = 3

Step-by-step explanation:

[tex] \small \sf \: \frac{ ( 4 xy )⁴ }{4xy }= 4x {}^{a} y {}^{b} \\ [/tex]

2⁴ x⁴ y ⁴ / 4 xy

simplify

16 x⁴ y⁴ / 4 xy

[tex] \small \sf \frac{a {}^{b} }{a {}^{c} } \: = a {}^{b - c} [/tex]

16 / 4 × x⁴ - x × y⁴ - y

4 x³ y³

Therefore , a = 3 and b = 3

3m^2 +5m-2-2m+18

3m^2 +3m+16

Answer:

3m² + 3 m + 16

Step-by-step explanation:

( 3 m ² + 5 m - 2 ) + ( - 2m + 18 )

Remove the unnecessary parantheses and rewrite

3 m ² + 5 m - 2 - 2 m + 18

combine like terms

3m² + 5 m - 2 m + 18 - 2

calculate the sum

3m² + 3 m + 16

Answer:

Step-by-step explanation:

x^2 - 2x - 35 = 0

Solve for x over the real numbers:

x^2 - 2 x - 35 = 0

Add 35 to both sides:

x^2 - 2 x = 35

Add 1 to both sides:

x^2 - 2 x + 1 = 36

Write the left hand side as a square:

(x - 1)^2 = 36

Take the square root of both sides:

x - 1 = 6 or x - 1 = -6

Add 1 to both sides:

x = 7 or x - 1 = -6

Add 1 to both sides:

Answer:  x = 7 or x = -5  as for the vertex plane curve | Cartesian equation x^2 - 2 x - 35 = 0 | vertex (not a possible affine variety)

Given:

The expressions are:

[tex]2x(x^2-6x+3)[/tex]

[tex]2a^2(5b^2+3ab+6a+1)[/tex]

To find:

The product of each expression.

Solution:

According to the distributive property of multiplication over addition, we get

[tex]a(b+c)=ab+ac[/tex]

The first expression is:

[tex]2x(x^2-6x+3)[/tex]

Using distributive property of multiplication over addition, we get

[tex]2x(x^2-6x+3)=(2x)(x^2)+(2x)(-6x)+(2x)(3)[/tex]

[tex]2x(x^2-6x+3)=2x^3-12x^2+6x[/tex]

Therefore, the product of [tex]2x(x^2-6x+3)[/tex] is [tex]2x^3-12x^2+6x[/tex].

The second expression is:

[tex]2a^2(5b^2+3ab+6a+1)[/tex]

Using distributive property of multiplication over addition, we get

[tex]2a^2(5b^2+3ab+6a+1)=(2a^2)(5b^2)+(2a^2)(3ab)+(2a^2)(6a)+(2a^2)(1)[/tex]

[tex]2a^2(5b^2+3ab+6a+1)=10a^2b^2+6a^3b+12a^3+2a^2[/tex]

Therefore, the product of [tex]2a^2(5b^2+3ab+6a+1)[/tex] is [tex]10a^2b^2+6a^3b+12a^3+2a^2[/tex].

Answer:

V= 78.54

Step-by-step explanation:

Answer:

you on the games

Step-by-step explanation:

Answer:

I think its 58

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

[tex]3[/tex] · 10 = 30

30 = (3 · 5) + (3 · 5)

30 =   (15)   +   (15)

30 = 30

True

Answer:

0.23

Step-by-step explanation:

Using either long division or a calculator, divide 23 by 100; you will get the result 0.23.

Answer:

0.23 hope tbis helps :)

Step-by-step explanation:

The graph correctly represents this system is attached below.

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We are given system of equation as;

2y + x = -5

y - 3x = -6

The solution to the system of equations is given as (x, y) = (1, -3).

The solution to the system of equations ploted on the graph is the point where the lines intersect.

The coordinates of the point of where the lines cross are (1, 3).

Learn more about equations here;

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Answer:

It will take him 4 hours.

Step-by-step explanation:

7x4= 28 miles

Answer:

2% decrease

Step-by-step explanation:

Steps to find percent decrease:

- Subtract starting value minus final value

- Divide that amount by the absolute value of the starting value

- Multiply by 100 to get percent decrease

Answer:

There are 4.

Step-by-step explanation:

If there are 6 blue cups, and the blue cups make up 3/5th of the total cups, you can divide 6 by 3/5 to find the total amount of cups, which is 10. Then, you do 10-6 to find how many cups in the package are not blue.

Answer:

$856.91  after 7 years

Step-by-step explanation:

Initial investment, P = 500

Interest rate, i = 8% (compounded once a year, i.e. annually)

Number of years, t = 7

Substitute in compound interest formula

Future value,

A = P (1 + 0.08/1) ^(1*7)

= 500 (1.08)^7

= 856.91 (to the nearest cent)

Answer:

sin < C = c/a

cos < C = b/a

tan < C = c/b

Answers:

================================================

Explanation:

A symmetric distribution is where we have the left half be a mirror copy of the right half. In other words, we have symmetry going on.

For the yellow team, note the distance between Q1 and the median is 1 unit (47-46 = 1), and so is the distance from the median to Q3  (48-47 = 1). So the box portion has perfect symmetry. You should find that the whiskers are also perfectly symmetric as well using a similar technique of finding the distances and comparing them.

Overall, the entire box-and-whisker plot for the yellow team is perfectly symmetric.

---------------

If a distribution isn't symmetric, then it's skewed in some way. If the right side is pulled longer than the left, then we consider it "skewed to the right" aka "positively skewed". So that applies to the blue team. The red team has negative skew because its left tail is longer than the right tail.

0.8 divided by 62 equals 0.80 or 80 percent (%)

Answer:

0.0129032258

Step-by-step explanation:

I simply did long division.

0.8 divided by 62 = 0.0129032258

Answer:

D. TU is a midsegment

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

In most cases the first step is to create an equation to solve for the missing variable

But in this case we are already given the equation

(7.25h + 5 = 6.5h + 10.25)

All we have to do is solve for h

7.25h + 5 = 6.5h + 10.25

Step 1 subtract 5 from both sides

7.25h = 6.5h + 5.25

Step 2 subtract 6.5h from both sides

0.75h = 5.25

Step 3 divide both sides by .75

h = 7

So at 7 hours the cost will be the same for both instructors

Answer:

you should draw it in your graph sis

give me some points i have question two

Step-by-step explanation:

Answer:

P(t) = 100t + 1900

Step-by-step explanation:

∆P = 2500 - 1700 = 800

∆t = 2017 - 2009 = 8

m = ∆p/∆t = 800/8 = 100

b = initial pop = 1900

using slope intercept form

P(t) = 100t + 1900

Answer:

Its a straight line

Step-by-step explanation:

Answer:

Step-by-step explanation:

-7/2t = 3x^2 - 5

t =  -2(3x^2 - 5)/7

The value of t is given by the equation t = [2/7](5 - 3x²) if the function g(x) = 3x² - 5.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function:

g(x) = 3x² - 5

To find the value of such that g(x) = -(7/2)t

Equate both the equations:

3x² - 5 = -(7/2)t

After simplification:

t = [2/7](5 - 3x²)

The above equation represents the value of t.

Thus, the value of t is given by the equation t = [2/7](5 - 3x²) if the function g(x) = 3x² - 5.

Learn more about the function here:

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[(4096)⁰]⁻⁴ = (4096)⁰ = 1

OPTION D

The question isn't correctly given, a possible format is in the comment below, however, the explanation will cover then concept which can be applied to different but similar

Answer:

10048576 ways

Step-by-step explanation:

We are given a question, from which we can choose aby of 4 options, this gives ua 4 possible choices for 1.

This will also apply if we have more than 1 question with the same number of options.

This can be called the product rule, as each possibility is the same of each question given :

Therefore, given 10 questions:

. We have

4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 4^10 = 10048576 ways

Answer:

99.8125, or 100

Hope that this helps!

Step-by-step explanation:

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