For the first 3 years of a horse's life, the weight, w (in kilograms), of the horse approximately fits the formula w(t)=30+170t, where t is the age of the horse in years. Which of the following is the most accurate interpretation of the slope of the line represented by this formula? A. The slope is 170. This means that the horse gains an average of 170 kilograms per year for the first 3 years of its life.
B. The slope is 30. This means that the horse gains a total of 30 kilograms in the first 3 years of its life.
C. The slope is 30. This means the horse gains on average 30 kilograms per use for the first 3years of its life.
D. The slope is 170. This means that the horse gains a total of 170 kilograms in the first 3 years of its life.

Answers

Answer 1

Answer:

Answer:

Option A. The slope is 170. This means that the horse gains an average of 170 kilograms per year for the first 3 years of its life

Step-by-step explanation:

Let

t ----> the number of years

w ---> is the weight in kilograms of the horse

we know that

The equation of a line in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value

In this problem we have

$w(t)=30+170t$

where

The slope or unit rate is equal to

$m=170\ (kg)/(year)$ ---> (for the first 3 years of a horse's life)

The y-intercept is equal to

$b=30\ kg$ ---> value of w when the value of t is equal to zero

therefore

The slope is 170. This means that the horse gains an average of 170 kilograms per year for the first 3 years of its life

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Answers

x + y = 3
- x - x
y = -x + 3

y - y₁ = m(x - x₁)
y - (-1) = -1[x - (-1)]
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The answer is B.

Answer:

the answer is b

Step-by-step explanation:

A similarity transformation maps polygon ABCD to polygon PQRS. If the length of is 6 and the length of the corresponding side, , is 12, what is the scale factor of dilation

Answers

For this case, what we must do is find the scale factor.
We have then that the scale factor is given by:
$k = (L1)/(L2)$
Where,
L1: side length of polygon ABCD
L2: side length of polygon PQRS
Note: both sides belong to the same side of each polygon
Substituting the values we have:
$k = (6)/(12)$
Rewriting we have:
$k = (1)/(2)$
Answer:
The scale factor of dilation is given by:
$k = (1)/(2)$

$(6)/(12)$ = $(1)/(2)$ from the larger polygon to smaller one

$(12)/(6)$ = 2, from the smaller polygon to the larger one.

What must be added to
2x² - 3 xy + 5yz to get x² - xy + y²

Answers

Answer:

-x² + y² + 2xy - 5yz

Step-by-step explanation:

"A" must be added to first expression to get the second one:

A + 2x² - 3 xy + 5yz = x² - xy + y²
A = ?

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

A = x² - xy + y² - (2x² - 3 xy + 5yz) =
x² - xy + y² - 2x² + 3 xy - 5yz=
-x² + y² + 2xy - 5yz

Six times the sum of a number and eight is 30. Find the number

Answers

Answer:

-3

Step-by-step explanation:

to the following equation:

6(x + 8) = 30

Now, we need to solve this equation for x. First, distribute the 6 on the left side of the equation:

6x + 48 = 30

Next, isolate the variable x by subtracting 48 from both sides of the equation:

6x = 30 - 48

6x = -18

Finally, divide both sides by 6 to solve for x:

x = -18 / 6

x = -3

So, the number is -3.

Solve log (base 5)(9x-4)=1

Answers

$\log_5(9x-4)=1 \n 9x-4=5^1 \n 9x-4=5 \n 9x=5+4 \n 9x=9 \n x= (9)/(9) \n x=1$

a data set has a variance of 88.what is the standard deviation of the data set? round to the nearest tenth

Answers

The standard deviation is equal to the square root of the variance:

$\sigma =\sqrt { Variance }$

Therefore:

$\sigma =\sqrt { 88 } \n \n \therefore \quad \sigma \approx 9.4$

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