Solve h = −16t2 + 36t + 4.

Answers

Answer 1

Answer: I can do each of the things I asked above.
So, let's change this into vertex form:
$h=-16t^2+36t+4$
$h=(-16t^2+36t)+4$
$h=-16(t^2-2.25t)+4$
$h=-16(t^2-2.25t+1.27-1.27)+4$
$h=-16(t^2-2.25t+1.27)+20.32+4$
$h=-16(t-1.125)^2+24.32$
The vertex is at (1.125,24.32)
Answers may vary due to rounding

Factored Form:
$h = -16t^2 + 36t + 4$
$h = -4\left(4t^2-9t-1\right)$

Quadratic Formula:
$x = (-b +/- √(b^2-4(a)(c)))/(2a)$
h = -16t^2 + 36t + 4
a = -16 b = 36 c = 4
$h = (-(36) +/- √((36)^2-4(-16)(4)))/(2(-16))$
$h = (-36 +/- √(1552))/(-32)$
$h = ≈-0.11$
$h = ≈2.36$

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Find the slope of the line through the pair of points. (6, 12) and (–6, –2)

Answers

slope of betewen points (x1,y1) and (x2,y2) is
slope=(y2-y1)/(x2-x1)

(6,12)
(-6,-2)
x1=6
y1=12
x2=-6
y2=-2

slope=(-2-12)/(-6-6)=-14/-12=7/6
slope=7/6

In scientific notation, 330 is written?

Answers

3.3 x 10^2

When you convert a number to scientific notation, you have to move the decimal right or left so that the whole number falls between 1 and 10. You then "describe" what you would multiply by to get the original number by multiplying by 10^x. x is the number of decimal places you moved. If you move the decimal to the left, it will be a positive exponent. If you move the decimal to the right it will be a negative exponent. Here are some examples...

10,000 = 1 x 10^4
0.0001 = 1 x 10^-4

A house cost $120,000 when it was purchased. The value of the house increases by 10% each year. What is the rate of growth each month?select the correct answer below.A) 0.797%
B) 0.00797%
C) 0.833%
D) 0.00833%

Answers

Answer: C) 0.833%

Step-by-step explanation:

Given: Cost price of house = $120,000

The rate of increase of its cost = 10%

Therefore, the increase amount of house per year =10% of $120,000

$=(10)/(100)*120000=\$12,000$

Now, the amount increase each month= $(12000)/(12)=\$1000$

Let r be the rate of growth each month, then

r% of $120,000=1000

$\Rightarrow(r)/(100)*120000=1000\n\Rightarrow\ r*1200=1000\n\Rightarrow\ r=(1000)/(1200)=0.833\%$

Answer:

0.797%

Step-by-step explanation:

DO NOT PICK THE OTHER ANSWERS

What is the slope intercept form of the graph displayed?

Answers

Answer:

$y=(1)/(2)x+100$

Step-by-step explanation:

Remember the formula: $y=mx+b$

m = the slope which is rise over run.

b = the y-intercept.

The y-intercept is at 100 (as clearly seen in the image), then do your rise over run from any 2 points displayed.

And you will see that you will count up 1 time and over to the right 2 times. That is your slope.

A car rental company charges a flat rate of $247 plus a daily rate of $53. 7)Write an equation to represent the total cost of renting a car for a certain number of days. Define your variables.

8) If you were charged $671 for renting a car, how many days did you rent the car for?

Answers

Answer:

7) C = 247 + 53d

8) 8 days

Step-by-step explanation:

Let "C" represent the total cost of renting a car.

Let "d" represent the number of days the car is rented.

The equation to represent the total cost of renting a car for a certain number of days is:

C = 247 + 53d

To find the number of days the car was rented when the total cost is $671, we can substitute the values into the equation and solve for "D."

671 = 247 + 53d

424 = 53d

d = 8

So, the car was rented for 8 days.

give 2 examples that shows how using parentyeses can change the crder in which operations are preformed in an expression

Answers

(7+3)x4=40

7+(3x4)=19

and

6-(5x2)=-4

(6-5)x2=2

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