Jacob kept track of the number of hours that he spent playing soccer each week for several weeks he spent 3, 6, 7, 8, and 11 hours. What is the range of the data set?

Input:

{F(x) = 3 x + 1, 1/f = x - 1/3 f(2)}

Result:

{F(x) = 3 x + 1, 1/f = x - f(2)/3}

Alternate forms:

{3 x + 1 = F(x), 3 x = f(2) + 3/f}

{F(x) = 3 x + 1, f(2) = 3 x - 3/f}

{F(x) = 3 x + 1, 1/f = 1/3 (3 x - f(2))}

Alternate form assuming f and x are positive:

{3 x + 1 = F(x), 3 f x = f(2) f + 3}

Answer: D. NONE OF THESE CHOICES ARE CORRECT.

Step-by-step explanation:

This situation represents a linear function graph because as you save up over the months the money goes up as well.

Answer:the answer I’m is C trust me

Step-by-step explanation: I just took the test

Answer:(-4,7)

Step-by-step explanation:

Edg 2021

Answer:

r = 100([tex]\frac{A}{P}[/tex] - 1 )

Step-by-step explanation:

Given

A = P(1 + [tex]\frac{r}{100}[/tex] ) ← divide both sides by P

[tex]\frac{A}{P}[/tex] = 1 + [tex]\frac{r}{100}[/tex] ( subtract 1 from both sides )

[tex]\frac{P}{A}[/tex] - 1 = [tex]\frac{r}{100}[/tex] ( multiply both sides by 100 )

100 ( [tex]\frac{P}{A}[/tex] - 1) = r

Answer:

15, 21 and 35.

Step-by-step explanation:

They are 3*5 , 3*7 and 5*7.

The list of all the composite factors of K: 15, 21, 35, 105.

"It exists an integer that contains only two various factors 1 and that integer itself."

"It exists a way to find the prime factors of a given number."

"It exists an integer that contains more than two different factors. "

Let, the prime factorization of K exists:

K = 3 · 5 · 7

This represents the number K exists, 3 · 5 · 7 = 105

The factors of 105 exists: 1, 3, 5, 7, 15, 21, 35, 105.

We must list all the composite factors of K.

From the above factors of 105, we can keep that,

15 contains factors 1, 3, 5, 15

21 contains factors 1, 3, 7, 21

35 contains factors 1, 5, 7, 35

and 105 contains more than two factors as noted above.

This means the numbers 15, 21, 35, and 105 exist as composite numbers.

Thus, the list of all the composite factors of K: 15, 21, 35, 105.

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Answer:

B

Step-by-step explanation:

The coordinates are (1, 9).

x = 1

y = 9

Put x as 1, and the output should be 9.

g(1) = ( 3 (1) )²

g(1) = (3)²

g(1) = 9

Answer:

b

Step-by-step explanation:

B is correct since you could use a graphing calculator  to solve this by plugging each answer choice into the calc.

another way is to plug 1 or x into each of the equations and see which choice has 9 as y

Answer:

-9=-9

8=8

-48=-48 or -8(-6)=-48

-6=-6 or 18/-3=-6

Step-by-step explanation:

Answer:

Simplify each expression involving signed numbers.

-7 – 2 =

✔ –9

12 + (-4) =

✔ 8

-8(-6) =

✔ 48

StartFraction 18 over negative 3 EndFraction =

✔ –6

can I have some brainiest

Step-by-step explanation:

Answer:

The expression is (310-30)^8

Step-by-step explanation:

ezer lol lol.    

Answer : 96

x – y = 16 --------> equation 1

1/8 x + 1/2 y = 52

x is the higher grade and y is the lower grade

We solve the first equation for y

x - y = 16

-y = 16 -x ( divide each term by -1)

y = -16 + x

Now substitute y in second equation

1/8 x + 1/2 ( -16 + x ) = 52

1/8x - 8 + 1/2 x = 52

1/8x + 1/2x - 8 = 52

Take common denominator to combine fractions

1/8x + 4/8x -8 = 52

5/8x - 8 = 52

Add 8 on both sides

5/8x = 60

Multiply both sides by 8/5

x = 96

We know x is the higher grade

96 is the higher grade of Jose’s two tests.

The higher grade and lower grade of Jose’s two tests will be 96 and 80.

The solution of the equation means the value of the unknown or variable.

Jose asks his friends to guess the higher of two grades he received on his math tests.

He gives them two hints.

Let x be the higher number and y be the lower number.

The difference of the two grades is 16.

x - y = 16      ...1

The sum of one-eighth of the higher grade and one-half of the lower grade is 52.

x/8 + y/2 = 52

x + 4y = 416     ...2

Subtract equation 1 from 2, we have

4y + y = 416 – 16

     5y = 400

       y = 80

Then the value of x will be

x – 80 = 16

        x = 80 + 16

        x = 96

The higher grade and lower grade of Jose’s two tests will be 96 and 80.

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Answer:

23/2

Step-by-step explanation:

If x = 5,

y = 5 + 1 = 6

(5+6) + 1/2 = 11 + 1/2 = 23/2

Answer:

days  ≤ 6

Step-by-step explanation:

she gas 160 pages out of the 380 pages, so she needs to write other:

380 - 160 = 120 pages.

If she writes a minimum of 20 pages per day, then the maximum number of days in which she will finish the book is:

20*d = 120

d = 120/20 = 6

so d is the number of days, and we have that:

d ≤ 6.

The equality is when she only writhes 20 pages per day, and if she writes more than that, then the number of days needed will be smaller than 6.

Answer:

1) Business costs less. It costs $8 less.

2) they cost the same at 14 HCF both equaling $24. Residential would cost more if it goes over 14 HCF per month.

Answer: -8.93

Step-by-step explanation:

Given the function:

N(X) = 90(0.86)^x+ 69

X in the interval [0, 6]

For X = 0

N(0) = 90(0.86)^0 + 69

90 + 69 = 159

For X = 6

N(6) = 90(0.86)^6 + 69

90(0.404567235136) + 69

= 105.41105116224

Therefore, average change of change in temperature ;

(temp 2 - temp 1) / ( time 2 - time)

(105.41105116224 - 159) / (6 - 0)

= - 53.58894883776 / 6

= - 8.93149147296

= - 8.93

The  approximate average rate of change of the temperature of the hot chocolate, in  degrees per minute, over the interval [0, 6] is;

Option 1; -8.93

We are given the function;

N(x) = 90(0.86)ˣ + 69

We want to find the average rate of change over the interval (0, 6).

Thus;

N(0) = 90(0.86)⁰ + 69

N(0) = 90 + 69

N(0) = 159°

N(6) = 90(0.86)⁶ + 69

N(6) = 105.411°

Formula for rate of change is;

Rate of change = Δy/Δx

Thus; Rate of change = (159 - 105.411)/(0 - 6)

Rate of change = -8.93

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Answer:

Step-by-step explanation:

Degree just means what exponent the term is going to. You decide this after you order the terms from greatest to least via their degrees.

For the first one, the degree is 2 and it is a single term; a monomial

For the second one, the degree is 0 and it is a consant.

For the third one, the degree is 1 and it is a binomial because there are two terms

For the fourth one, the degree is 2 and it is a trinomial because it has three terms

mono = one

bi = two

tri = three

Answer:

[tex] a = \boxed{3 }\: \: b = \boxed{6} \: \: c = \boxed{5}[/tex]

Step-by-step explanation:

[tex] {3}^{ \frac{6}{5} } \\ = \sqrt[5]{ {3}^{6} } \\ equating \: it \: with \\ \sqrt[c]{ {a}^{b} } \: we \: find \\ a = \boxed{3 }\: \: b = \boxed{6} \: \: c = \boxed{5}[/tex]

Step-by-step explanation:

Step-by-step explanation:

\begin{lgathered}{3}^{ \frac{6}{5} } \\ = \sqrt[5]{ {3}^{6} } \\ equating \: it \: with \\ \sqrt[c]{ {a}^{b} } \: we \: find \\ a = \boxed{3 }\: \: b = \boxed{6} \: \: c = \boxed{5}\end{lgathered}

3

5

6

=

5

3

6

equatingitwith

c

a

b

wefind

a=

3

b=

6

c=

5

Answer:

2x2−12x+7=0

a≠1,a=2 so divide through by 2

22x2−122x+72=02

which gives us

x2−6x+72=0

Step-by-step explanation:

Answer:

Do you mean which equation should the 5x+10=15 be multiplied to?

it would be -2

Step-by-step explanation:

This is because 5 times -2 is -10

and so when you add the (now) x value of the first equation to the x value of the second equation, it gets 0

which makes it eliminated!

-10x+10x=0

Answer:

-2

Step-by-step explanation:

Step-by-step explanation:

m=y2-y1/x2-x1

m=0-(-2)/4-2

m=2/2

m=1

Answer:

Midpoint: (2.4, -1)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]

With that in mind,

(3.2 + 1.6)/2 = 2.4

(2.5 - 4.5)/2 = -1

Answer:

(2.4, -1)

Step-by-step explanation:

To find the x coordinate of the midpoint, average the x coordinates

(3.2+1.6)/2 = 4.8/2 = 2.4

To find the y coordinate of the midpoint, average the y coordinates

(2.5+-4.5)/2 = -2/2 = -1

(2.4, -1)

Answer:

x + 9

Step-by-step explanation:

(x²+17x+72)/(x+8)

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

(x2 + 8x + 9x + 72)= (x + 9)(x+8)

(x²+17x+72)/(x+8) =  x + 9

Answer:

IT IS D.

Step-by-step explanation:

(x2 + 8x + 9x + 72)= (x + 9)(x+8)

(x²+17x+72)/(x+8) =  x + 9

HAVE A NICE DAY! :)))

P.S PLEASE PICK ME AS BRAINLIEST

THX!

Answer:

6, 8, 10

Step-by-step explanation:

x y and z are three consecutive even numbers

it means that you can write y = x + 2

and z = y + 2 = x + 4

so

  [tex]y^2-2=2x+5z\\ <=> (x+2)^2-2=2x+5(x+4)\\<=>x^2+4x+4-2=2x+5x+20[/tex]

  [tex]<=> x^2+4x+2=7x+20\\<=>x^2+4x+2-7x-20=0\\<=>x^2-3x-18=0\\<=>(x+3)(x-6)=0<=>(x=-3\ or \ x=6)[/tex]

so the solutions are

x = 6

y = 8

x = 10

Answer:

6, 8, 10

Step-by-step explanation:

x, y, z

y=x+2, z= x+4

Solving the quadratic equation we get:

Answer:

2nd option.

Step-by-step explanation:

y int at 1/2.

Answer:

C.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

x² - 5x + 7 = 0

Step 2: Identify Variables

a = 1

b = -5

c = 7

Step 3: Find solutions

The solutions to the equation x² - 5x + 7 = 0  are:

x = (5 + i√3) / 2 or x = (5 - i√3) / 2

Option C is the correct answer.

We have,

To find the solutions of the quadratic equation x² - 5x + 7 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, the coefficients are:

a = 1

b = -5

c = 7

Substituting these values into the quadratic formula,

x = (-(-5) ± √((-5)² - 4(1)(7))) / (2(1))

Simplifying further:

x = (5 ± √(25 - 28)) / 2

x = (5 ± √(-3)) / 2

Since the discriminant (the value inside the square root) is negative, √(-3) is imaginary, meaning there are no real solutions to this quadratic equation.

The solutions exist in the complex number system.

So,

√-1 = i

x = (5 ± i√3) / 2

This can be written as,

x = (5 + i√3) / 2

and

x = (5 - i√3) / 2

Thus,

The solutions to the equation x² - 5x + 7 = 0  are:

x = (5 + i√3) / 2 or x = (5 - i√3) / 2

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Answer: £107.08

Step-by-step explanation:

27% of 396.58

= 396.58 x 0.27

= 107.08

Answer:

Every hexagon tessellates.

Step-by-step explanation:

Hexagons always tessellates when perfectly combined and aligned especially when the x sides and the y sides are parallel to each other.

Answer:

binomial

Step-by-step explanation:

A binomial is a polynomial with 2 terms

5a+2b has two terms

Answer:

here

Step-by-step explanation:

a= 4. 8, 12

b= 4, 7, 10

d= 3, 6, 11

e= 3, 12, 27

Answer:

It's B

Step-by-step explanation:

Edge 2021

The roots of the polynomial equation A = x⁶ - 16x² - 4x⁴ - 64 is given by the relations x₁ = -2 and x₂ = 2

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

A = x⁶ - 16x² - 4x⁴ - 64   be equation (1)

On simplifying , we get

The two roots of the polynomial are 2i and -2i

And , x⁶ - 16x² = 4x⁴ - 64

Taking x² as the common factor , we get

x² ( x² - 16 ) = 4 ( x⁴ - 16 )

when x = -2

4 ( 0 ) = 4 ( 16 - 16 )

0 = 0

when x = 2

4 ( 0 ) = 4 ( 16 - 16 )

0 = 0

Therefore , the roots of the equation are 2i , -2i , 2 and -2

Hence , the polynomial equation has roots 2i , -2i , 2 and -2

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Answer:

117, 118

Step-by-step explanation:

if 2 consecutive numbers have a sum of 235, then

Let the 2 numbers be n and n+1

Given That:

n + n+1 = 235

Simplify and solve:

2n + 1 - 235

2n = 234

n = 117.

If n = 117, then n +1 = 118. These are the 2 consecutive numbers.

Hope this helps.

Good Luck

Answer:

236 AND 237

Step-by-step explanation:

Two consecutive numbers means next two continuous numbers

Answer:

B. 12 ft²

Step-by-step explanation:

Area of a parallelogram is equal to the product of its base and its height.

b × h

4 × 3 = 12

The area of the parallelogram is 12 feet squared.