Elena's distances and times for a training run are given by the equation , where represents distance in miles and represents time in minutes. Who ran faster during the training run?

Answer:

The first one is already giving to us YYY so

the answer is GGG,YGY,GYG,YYG,GGY,YGG,GYY

Step-by-step explanation:

Given:

A line passes through (-1, 3) and (5,3).

To find:

The equation of the line.

Solution:

The line passes through (-1, 3) and (5,3). So, the equation of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-3=\dfrac{3-3}{5-(-1)}(x-(-1))[/tex]

[tex]y-3=\dfrac{0}{5+1}(x+1)[/tex]

[tex]y-3=0[/tex]

Adding 3 on both sides, we get

[tex]y-3+3=0+3[/tex]

[tex]y=3[/tex]

Therefore, the equation of the line is [tex]y=3[/tex].

Given:

To find: The dimensions.

Answer:

Formula to find the perimeter of a rectangle = 2 × (Length + Width)

We know that 2X + 2Y = 66. Simplifying it, we get:

2(X + Y) = 66

X + Y = 66/2

X + Y = 33

Now that we know the value of X + Y, and assuming X and Y to be the dimensions, let's substitute it into the formula to find the perimeter and verify it.

Perimeter = 2 × (X + Y)

66 = 2 × 33

It's verified.

Now, we also have the expression representing the length, which is X + 3 = Y.

X + Y = 33

X + 3 = Y

Let's add both expressions.

X + Y + X + 3 = 33 + Y

2X + Y + 3 = 33 + Y

2X = 33 - 3 + Y - Y

2X = 30

X = 30/2

X = 15

Hence, the width [X] is 15.

Substituting this value into the expression representing the length,

15 + 3 = Y

18 = Y

Hence, the length and breadth of the rectangular picture frame is 18 and 15 units respectively.

Hope it helps. :)

Answer:

x     f(x)

-5   -30

-1    -10

2    5

3    10

4    15

Step-by-step explanation:

Let us solve the question

∵ The function f is defined by the rule f(x) = 5x - 5

∵ x = -5

→ Substitute x in f by -5 to find the value of f(-5)

∴ f(-5) = 5(-5) - 5 = -25 - 5 = -30

∴ f(-5) = -30

∵ x = -1

→ Substitute x in f by -1 to find the value of f(-1)

∴ f(-1) = 5(-1) - 5 = -5 - 5 = -10

∴ f(-1) = -10

∵ x = 2

→ Substitute x in f by 2 to find the value of f(2)

∴ f(2) = 5(2) - 5 = 10 - 5 = 5

∴ f(2) = 5

∵ x = 3

→ Substitute x in f by 3 to find the value of f(3)

∴ f(3) = 5(3) - 5 = 15 - 5 = 10

∴ f(3) = 10

∵ x = 4

→ Substitute x in f by 4 to find the value of f(4)

∴ f(4) = 5(4) - 5 = 20 - 5 = 15

∴ f(4) = 15

Answer:

$47.15

Step-by-step explanation:

22.55 divided by 11 is 2.05 so she made $2.05 on each shirt

2.05 x 23 is 47.15

Answer:

0.0035 ≤ x ≤ 0.0045

Step-by-step explanation:

Given that:

The error = 1/1000 = 0.001 / 2 = 0.0005 s

Hence, 0.004 ± Error

0.004 ± 0.0005

Lower boundary = (0.004 - 0.001) = 0.0035

Upper boundary = (0.004 + 0.001) = 0.0045

0.0035 ≤ x ≤ 0.0045

Answer:

rate of change

Step-by-step explanation:

Answer:

Good Morning the answer is rate of change

Step-by-step explanation:

Answer:

2:9

Step-by-step explanation:

8 adult fish:36 baby fish

To simply both, divide by 4

2 adult fish: 9 baby fish

Answer:

[tex]0.109\ \text{acres per pound}[/tex]

Step-by-step explanation:

Given that,

It takes 91 pounds of seed to completely plant a 10-acre field.

We need to find how many acres can be planted per pound of seed. Let it is x. It can be calculated by dividing acres to pounds per seeds.

[tex]x=\dfrac{10}{91}\\\\=0.109\ \text{acres per pound}[/tex]

So, the required answer is [tex]0.109\ \text{acres per pound}[/tex].

Answer:

The answer is A

Step-by-step explanation:

1st step: x(2x^2-x+4)  -5(2x^2-x+4)

2nd step: (2x^3-x^2+4x)  (-10x^2+5x-20)

3rd step: combine like terms 2x^3-11x^2+9x-20

Answer:

90

hope this helps!:)

Step-by-step explanation:

Answer:

is the 9 seven for five 1233

Answer:

length is 770 width is 410

Step-by-step explanation:

Answer:

hiiii i total can help im doing this in school

Step-by-step explanation:

D

Answer: The answer to -64 divided by 8 would be 8.

Answer: 15 antique houses

Step-by-step explanation:

New houses : Antique houses

                  4 : 5

                 12 : ?

12 ÷ 4 = 3

Multiply 5 by 3

5 × 3 = 15

12 : 15

There are 15 antique houses.

Answer:

214.

Step-by-step explanation:

According to the table, The number of people that were successful (The row that follows the word "Successful") and not selected (The Column that follows the words "Not selected") were 214 of the candidates.

To find the answer to this question, you have to find where the Row labeled "Successful" and Column labeled "Not Selected" intersect.

I hope this helped!

Answer:

214

Step-by-step explanation:

Answer:

00ehrhrhrhdjrjrhejrjrjrjrjdjdjfjdhdhdhdhrjdjdjd

Answer:

(3x-4) x (2x-5)

Step-by-step explanation:

(3x-4)= x=12. ( 2x-5)= 10. x=10

Answer:

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

x =  − 2  −  ln ( 6 )/ ln ( 4 )

Decimal Form:

x = −3.29248125 …

Hope this helps!

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope: −1

y-intercept: (0,0)

x    y

0    1

0  −1

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

79 - 11 is 68, so I think 68 is the answer.

Answer:

13: Irrational

14: 1.091 x 10 with a exponent of 9

Answer:

[tex]the \: first \: one \: is \: irrational \: numbe \: and[/tex]

[tex]the \: second \: one \: is \: 1.091 \times {10}^{9} [/tex]

Step-by-step explanation:

Rational number do not include radical numbers

Answer:

1/4

Step-by-step explanation:

you can rearrange the problem to be

3/4 - 1/2

then you can convert to common denominators

3/4-2/4 = 1/4