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3 years ago

Help pls, math due tonight :(

Mathematics

1 answer:

Olenka [21]3 years ago

8 0

9514 1404 393

Answer:

40 ft
t = 1 second

Step-by-step explanation:

A graphing calculator answers these questions easily.

The ball achieves a maximum height of 40 ft, 1 second after it is thrown.

The equation is usefully put into vertex form, as the vertex is the answer to the questions asked.

h(t) = -16(t^2 -2t) +24

h(t) = -16(t^2 -2t +1) +24 +16 . . . . . . complete the square

h(t) = -16(t -1)^2 +40 . . . . . . . . . vertex form

Compare this to the vertex form:

f(x) = a(x -h)^2 +k . . . . . . vertex (h, k); vertical stretch factor 'a'

We see the vertex of our height equation is ...

(h, k) = (1, 40)

The ball reaches a maximum height of 40 feet at t = 1 second after it is thrown.

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HELP ME PLEASE True or false: z=−5 is a solution to the inequality −2|z−3|<−20.

Dovator [93]

your question: 

True or false: z=−5 is a solution to the inequality −2|z−3|<−20.

answer: 

-2|z-3|<-20

-------. -----

-2 -2

|z-3|<10

equation 1: equation 2:

z-3<10. z-3>-10

z<13 z>-13

So false, z=-5 is not a solution to the inequality.

hope this helps, have a great day! :)

7 0

3 years ago

Question 21 is probably the hardest question on this homework

Snezhnost [94]

-15+5x= 20

5x= 35
x= 7

20= -15+5x

35= 5x

7 = x

7 0

3 years ago

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Find the slope of the line. A. -1/3 B. 1/3 C. 3 D. -3

denis23 [38]

The answer is C! :)

8 0

3 years ago

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A van travels from Town A to Town B. It uses 1 gallon of gas for every 24 miles traveled. A) How many gallons of gas does the va

Setler79 [48]

Answer:

A) $\frac{x}{8}$ gallons

B) Distance between Town A and Town B is $48y$ miles

Step-by-step explanation:

We know, number of gallons = $\frac{DistanceTravelled}{MilesPerGallon}$

if miles per gallon (mpg) is given as 24 & total distance travelled is 3x miles, then, using formula we have:

Number of Gallons = $\frac{DistanceTravelled}{MilesPerGallon}=\frac{3x}{24}=\frac{x}{8}$

Now, given is number of gallons = 2y & we know mpg is 24; so what is the distance?

We use the same formula and solve for distance (let distance between A and B be "D"):

$NumberOfGallons=\frac{DistanceTravelled}{MilesPerGallon}\\2y=\frac{D}{24}\\D=2y*24\\D=48y$

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3 years ago

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lana66690 [7]

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5 0

4 years ago