A linear function contains the following points. x: –8,1 y: 0,3 What are the slope and y-intercept of this function?

Answer:

A

Step-by-step explanation:

The constant of proportionality is the ratio between the two proportional variables in a directly proportional relationship. In this case, the variables are [tex]x[/tex] and [tex]y[/tex].

To find the constant of proportionality, all we have to do is divide any value of [tex]y[/tex] by its corresponding value of [tex]x[/tex]. Let's take the values in the first row of the table. We know that [tex]x=2[/tex] and [tex]y=12[/tex], so the constant of proportionality is [tex]\frac{y}{x}=\frac{12}{2} =6[/tex]. Hope this helps!

Answer:

27ft^3

Step-by-step explanation:

3^3 is 27

Given:

[tex]\dfrac{2}{10}[/tex] divded by [tex]\dfrac{2}{4}[/tex].

To find:

The solution for the given division problem.

Solution:

We have, [tex]\dfrac{2}{10}[/tex] divded by [tex]\dfrac{2}{4}[/tex]. It can be written as

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{2}{10}\times \dfrac{4}{2}[/tex]

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{2\times 4}{10\times 2}[/tex]

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{8}{20}[/tex]

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{2}{5}[/tex]

Therefore, the solution for the given division problem is [tex]\dfrac{2}{5}[/tex].

Answer:

$5647.50

Step-by-step explanation:

Formula for interest => I = Prt

substitute => I = (4500)(0.085)(3)

I = 1147.5

Add interest to our principle value => 4500 + 1147.5

Thus, our answer: $5647.50

Answer:

D

Step-by-step explanation:

A function is any line that does not repeat in x-value (doesn't repeat on the x-axis).

Answer:

it dosent load

Step-by-step explanation:

u can type the angles in the comments and i can help u with that

Answer:

n = - 12

Step-by-step explanation:

n/9 + 2/3 = - 2/3

n/9 = - 2/3 - 2/3

n/9 = - 4/3

n = 9(- 4/3)

n = -36/3

n = - 12

9514 1404 393

Answer:

Step-by-step explanation:

The solution steps are ...

  3(y -2) = 18 . . . . . . given

  3y -6 = 18 . . . . . . . eliminate parentheses using the distributive property

  3y = 24 . . . . . . . . . add 6 to both sides

  y = 8 . . . . . . . . . . . divide both sides by 3

The value of y is 8.

Answer:

Answer is TU = 15cm since n = 6 and n + 9 is 6 + 9 which is 15

Answer:

Answer:

triangle STU and WEK are CONGRUENT

ST=WK SIDE OF A CONGRUENT TRAINGLE ARE EQUAL

2M=N.....1

SU=WE

3M+5=N+8

3M+5=2M+8

3M-2M=8-5

M=3

NOW

N=2M=2×3=6CM

TU=WK=N=6CM.

Answer:

4 sq units

Step-by-step explanation:

2 un x 2 un = 4 sq uints

Answer:

250

Step-by-step explanation:

V= πr^2h = π·5^2·20 ≈ 1570.79

This is the volume of the full glass so divide that by two and you get 785.4.

785.4 in terms of pi is 250.

Answer:

a.) distributive property

b.) combining like terms

c.) cumutitative property

Answer:

1 1/5 gallons is 6/5 volume of 1 gallon. Therefore, 8 1/3 * 6/5 = 25/3 * 6/5 = 150/15 = 10 lbs.

Step-by-step explanation:

Step-by-step explanation:

Total surface area of cuboid= 2(lb+bh+hl)

= 298ft²=2(28+4x+7x)

= 149=28+11x

= 121=11x

= 11=x

Answer:

a. Yes

Step-by-step explanation:

Plug the values into each expression to check

y - 3 = x

4 - 3 = 1

1 = 1

This checks out

2y = 2x + 6

2(4) = 2(1) + 6

8 = 2 + 6

8 = 8

This checks out so the coordinates do indeed satisify the equations

Answer:

18x^2 + 60x + 50

Answer:

n = -1

Step-by-step explanation:

Use the equation y=mx + b

m (slope) = -2

x (x coordinate) = -4

y (y coordinate) = 7

You are solving for b.

Plug in for the given values:

7 = -2(-4) + b

7 = 8 + b

-1 = b (Minus both sides by 8)

y= -2x -1

Therefore, n = -1

Answer:

n = 3x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of chops is n and h(n) is the number of heads.

After the first chop and consecutive chops the number of heads are:

Answer:

wdym???????

Step-by-step explanation:

Answer:

El pago total que hará Camilo es $6,150,000

Step-by-step explanation:

La cantidad que Camilo compró el auto usado = $6,000,000

La cantidad que Camilo acordó pagar en efectivo = $1,000,000

La cantidad que pagará Camilo en un mes = $1,000,000

El interés sobre el saldo impago = 6%

Por lo tanto, tenemos;

El interés sobre el saldo en un año = 6/100 × 5,000,000 = 300,000

El interés por mes = 300.000 / 12 = 25.000

La cantidad de meses que Camilo paga el saldo de 5,000,000 a 1,000,000 por mes = 5,000,000 / 1,000,000 mes = 5 meses

El momento en que paga el saldo restante = El sexto mes

La cantidad de interés pagado en los seis meses = 25,000 × 6 = 150,000

El pago total que hará Camilo, A = 6,000,000 + 150,000 = 6,150,000

El pago total que hará Camilo, A = $6,150,000

Answer:

which class you read now

Answer:

see explanation

Step-by-step explanation:

Given

2t - [tex]\sqrt{2}[/tex] = 3t + [tex]\sqrt{2}[/tex] ( add [tex]\sqrt{2}[/tex] to both sides )

2t = 3t + 2[tex]\sqrt{2}[/tex] ( subtract 3t from both sides )

- t = 2[tex]\sqrt{2}[/tex] ( multiply both sides by - 1 )

t = - 2[tex]\sqrt{2}[/tex]

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

Given

(- x + 2[tex]\sqrt{3}[/tex] )(- 3x - [tex]\sqrt{2}[/tex] ) = 0

Equate each factor to zero and solve for x

- x + 2[tex]\sqrt{3}[/tex] = 0 ( subtract 2[tex]\sqrt{3}[/tex] from both sides )

- x = - 2[tex]\sqrt{3}[/tex] ( multiply both sides by - 1 )

x = 2[tex]\sqrt{3}[/tex]

- 3x - [tex]\sqrt{2}[/tex] = 0 ( add [tex]\sqrt{2}[/tex] to both sides )

- 3x = [tex]\sqrt{2}[/tex] ( divide both sides by - 3 )

x = - [tex]\frac{\sqrt{2} }{3}[/tex]

Answer:

28

Step-by-step explanation:

28

Explanation:

Let the first integer be

n

Then the sum is

n

+

(

n

+

1

)

+

(

n

+

2

)

=

81

Giving

3

n

+

3

=

81

⇒

3

n

=

78

⇒

n

=

78

3

=

26

Thus the largest integer

→

n

+

2

=

26

+

2

=

28

Current ages:

Let Kaylan's present age be x years

Since his age is a third of his mother's present age:

mother's age * (1/3) = Kaylan's age

mother's age * (1/3) = x        

mother's age = 3x                                     [multiplying both sides by 3]

Kaylan's mother's age would be 3x years

Their ages 6 years ago:

Kaylan's age: x-6 years

Mother's age: 3x-6 years

We are told that mother's age was 5 times Kaylan's age, 6 years ago. So,

5*(Kaylan's age 6 years ago) = (Mother's age 6 years ago)

replacing the values

5(x - 6) = 3x-6

5x - 30 = 3x-6

2x - 30 = -6                                             [subtracting 3x from both sides]

2x = 24                                                    [adding 30 on both sides]

x = 12                                                       [dividing both sides by 2]

Hence, x = 12

Kaylan's present age(x) = 12 years

Mother's present age(3x) = 3*12 = 36 years

Answer:

The scale factor is 4

Step-by-step explanation:

Given

See attachment for parallelograms

Required

Determine the scale factor (k)

Using sides FG and F'G' as a point of reference:

[tex]FG = 2\ units[/tex]

[tex]F'G' = 8\ units[/tex]

The scale factor (k) is calculated as:

[tex]k = \frac{New}{Original}[/tex]

[tex]k = \frac{F'G'}{FG}[/tex]

[tex]k = \frac{8\ units}{2\ units}[/tex]

[tex]k = 4[/tex]

Answer:

B and D are correct.

Step-by-step explanation:

To find the area of a rectangle, simply multiply its length by its width. In this case, the length of the rectangle is [tex]5[/tex] m and the width of the rectangle is [tex]3[/tex] m, so its area must be [tex]5*3=15[/tex] square meters.

To find the area of a triangle, divide the product of the triangle's base and height by [tex]2[/tex]. As an algebraic expression, that would be [tex]\frac{bh}{2}[/tex], where [tex]b[/tex] and [tex]h[/tex] are the triangle's base and height, respectively. In this case, [tex]b=6[/tex] and [tex]h=5[/tex], so the triangle's area is [tex]\frac{6*5}{2}=15[/tex] square meters.

Now, let's look at the statements.

A: The triangle's area is [tex]15[/tex] square meters, not [tex]30[/tex], so A is incorrect.

B: The rectangle's area is [tex]15[/tex] square meters and the triangle's area is also [tex]15[/tex] square meters. Because the two figures have the same areas, their areas are equal, so B is correct.

C: We've already established that the two figures have equal areas, so one can't have a greater area than the other. Therefore, C is incorrect.

D: The rectangle's area is indeed [tex]15[/tex] square meters, so D is correct.

Hope this helps!

Answer:

B is correct, and D is correct

if you multiply 3 times 5 you get 15 m which is the area for the rectangle, then you have to find the area for the triangle, which you would have to multiply 6 times 5 which you get 30, then divide 30 by 2, which would be 15!

Step-by-step explanation:

Answer:

4.25

Step-by-step explanation:

Multiply each multiple choice by 6 until you get the given total.

4.25 × 6 = 25.5

Answer:

huh i dont get the queation

my friend this question is wrong how can Matthew have 87 in his bank account and spend 112 on books