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belka [17]
4 years ago
14

12r+5+3r-5 Need you help

Mathematics
1 answer:
iren [92.7K]4 years ago
7 0

Answer:

15r

Step-by-step explanation:

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An object is launched directly in the air at a speed of 64 feet per second from a platform located 16 feet above the ground. The
zloy xaker [14]

Considering the vertex of the quadratic equation, the maximum height that the object will reach is of 80 feet.

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

(x_v, y_v)

In which:

  • x_v = -\frac{b}{2a}
  • y_v = -\frac{b^2 - 4ac}{4a}

Considering the coefficient a, we have that:

  • If a < 0, the vertex is a maximum point.
  • If a > 0, the vertex is a minimum point.

In this problem, the equation is:

f(t) = -16t² + 64t + 16.

Hence the coefficients are:

a = -16, b = 64, c = 16.

The maximum value is found as follows:

y_v = -\frac{64^2 - 4(-16)(16)}{4(-16)} = 80

More can be learned about the vertex of a quadratic equation at brainly.com/question/24737967

#SPJ1

7 0
2 years ago
A problem states that Ursula earns $9 per hour. To write an expression that tells how much money Ursula earns for h hours, Joshu
LekaFEV [45]
The correct one would by 9h because you are asking how much will Ursula make per hour. So let's say that h is 10, then in order to know how much Ursula makes per hour, you have to add 9 ten times. A short way to do that would be to simply multiply 9 with 10 so that you can get the answer of 90. It cannot be 9/h because then answer will be much lower than it is supposed to be. So the answer to the question is really 9h. 
8 0
3 years ago
Whats the factor of this expression?<br> 10x + 40y?
BARSIC [14]

Answer:

<h3>10(x + 4y)</h3><h3 />

Step-by-step explanation:

factor of 10x + 40y

  • 10(x + 4y)
7 0
3 years ago
Read 2 more answers
The city of Raleigh has 9500 registered voters. There are two candidates for city
kotykmax [81]

Answer:

Population = All registered voters in Raleigh city

Population size = 9500

Sample size = 360

Proportion of sample statistic for brown = 0.3167

3008 voters

Step-by-step explanation:

Population refers to all elements which meets the requirement for a specific experiment or research interest.

Number of voters for brown = 114

Number of voters for Feliz = 210

Undecided = 36

Sample statistic for proportion in support of brown :

Proportion = x / n

x = number who said they'll vote for brown

n = sample size

Sample statistic for proportion in support of brown = 114 / 360 = 0.3167

Using the proportion ; number from population who'll vote brown :

Sample proportion * population size

0.3167 * 9500 = 3008 voters

3 0
3 years ago
What is the final amount if 1235 is increased by 4% followed by a 4% decrease?
madam [21]

Answer:

1233.02 to 2 D.P.

Step-by-step explanation:

4 % = 0.04

So to obtain the amount after increase by 4% we multiply by 1.04:

1235 * 1.04 = 1284.4

Decreasing by 4%:  we mutriply by 1 - 0.04 = 0.96:

1284.4 * 0.96

= 1233.024.

4 0
3 years ago
Read 2 more answers
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