The slope is 7, and it passes through (3,-1)

Choose the correct answer to classify each equation or situation below as exponential growth or decay.

inn [45]

Answer:

Exponential Decay

Step-by-step explanation:

Because 7/8 is less than 1, it is exponential decay

5 0

3 years ago

A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the

ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

$\displaystyle h = 29.4t - 4.9 {t}^{2}$

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

$\displaystyle \rm t= \frac{ - b}{ 2a}$

$\displaystyle H_{\text{max}}=f(t)$

notice that, our given function is not in standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

let's make it so

$\displaystyle h = - 4.9 {t}^{2} + 29.4t$

therefore we got

our <em>a</em> is -4.9 and <em>b </em>is 29.4

so substitute:

$\displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9}$

remove parentheses and change its sign:

$\displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9}$

simplify multiplication:

$\displaystyle\rm t= \frac{ -29.4}{ - 9.8}$

simplify division:

$\displaystyle \: t = 3$

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2$

simplify square:

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9$

simplify mutilation:

$\displaystyle H_{\text{max}}=88.2-44.1$

simplify substraction:

$\displaystyle H_{\text{max}}=44.1$

hence,

the maximum height of the baseball is 44.1 metres

4 0

3 years ago

Read 2 more answers

According to the 2000 Census the population of Canton was 7,720. Holly Spring's population was 3,200. Canton's population increa

Kazeer [188]

Firstly, the rate of increase of Canton = 80/7720 = 0.010
The rate of increase of HP = 120/3200 = 0.0375
Apply the formula of compound interest==> A =A'(1+i)^n
The population will be equal when the following equality is satisfied

7720(1+0.01)^n = 3200(1+0.0375)^n

or

7720x1.01^n = 3200x1.0375^n

Divide both sides by 3200 ===>(193/80)x1.01^n=1.0375^n

8 0

3 years ago

Read 2 more answers

If a circle’s diameter is 3 inches, what would be the best estimate of its circumference? A) 3 inches B) 9.42 inches C) 10.42 in

iogann1982 [59]

The answer would be approximately 9 inches but the real number is 9.42 So B is the answer. I hope this helped ^^

4 0

3 years ago

Read 2 more answers

A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more

horrorfan [7]

Answer:

2x + 6y ≤ 120

Step-by-step explanation:

From the above question, we are told that: No more than 120 lb of sausage links and briskets will be cooked on the grill.

Let

x = Number of sausage links

y = Number of Briskets

The word NO MORE THAN means less than or equal to 120 lb and this word is represented by the inequality sign:

≤

Sausage links = 2 lb each

Briskets = 6 lb each

The inequality =

2lb × x + 6lb × y ≤ 120lb

2x + 6y ≤ 120

Therefore, the inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked is given as:

2x + 6y ≤ 120

3 0

3 years ago