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3 years ago

X ( x + 4 ) − 3 = 4 ( x + 19.5 )

Mathematics

1 answer:

Studentka2010 [4]3 years ago

7 0

Answer:

Step-by-step explanation:

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The number T of teams that have participated in a robot-building competition for high-school students over a recent period of ti

Katarina [22]

Solving the quadratic equation, it is found that the number of teams is greater than 1000 after 3.1 years.

The number of teams after x years is given by:

$T(x) = 17.155x^2 + 193.68x + 235.81$

Initially, there are T(0) = 236 teams. If will 1000 be when T(x) = 1000, thus:

$17.155x^2 + 193.68x + 235.81 = 1000$

$17.155x^2 + 193.68x - 764.19 = 0$

Which has coefficients $a = 17.155, b = 193.68, c = -764.19$ , then:

$\Delta = (193.68)^2 - 4(17.155)(-764.19) = 89950.66$

$x_{1} = \frac{-193.68 + \sqrt{89950.66}}{2(17.155)} = 3.1$

$x_{2} = \frac{-193.68 - \sqrt{89950.66}}{2(17.155)} = -14.3$

We want the positive root, so the number of teams is greater than 1000 after 3.1 years.

A similar problem is given at brainly.com/question/10489198

8 0

2 years ago

Which expression has a value of 15 when p- 12? 18/9 Зр 18-р р+ 3

user100 [1]

Answer
P+3
Step by step explanation
12+3=15

3 0

4 years ago

State whether the equation represents exponential growth, exponential decay, or neither.

raketka [301]

Answer:

Sryy

Step-by-step explanation:

i just need points

3 0

3 years ago

Here is it 13 more to go

Alik [6]

Step-by-step explanation:

Formula for simple interest:

$a = p(1 + rt)$

where

a = final amount

p = principal amount

r = interest rate per annum

t = time in years

Now, we are finding a, the final amount, and given,

p = $650

r = 5.5% (5.5/100)

t = 4 years

$a = 650(1 + (\frac{5.5}{100} )(4)) \\ = 650(1 + (0.055)(4)) \\ = 650(1 + 0.22) \\ = 650(1.22) \\ = 793 \: dollars$

3 0

3 years ago

Read 2 more answers

SUPER EASY WILL GIVE BRAINLEIST IF DONE BEFORE 10 PM PLS HURRY. IF U HAVE TIME PLS HELP ME ON OTHER QUESTIONS THANK YOU <3

andrew11 [14]

Answer:

1. new perimeter = 4 times the old perimeter

2. The area will go up by a factor of 16

3. The new area is 1/9 of the original area.

Step-by-step explanation:

1. side length1 = x

side length2 = y

2x + 2y = perimeter

2(4x) + 2(4)y = new perimeter

8x + 8y = new perimeter

new perimeter = 4 times the old perimeter

2. The area will go up by a factor of 16. This is because the area formula has them being multiplied together and thus it will make the area go up by that much.

3. Let the length of the rectangle be x

Let width of rectangle be y

Area of rectangle = L*W

Now Each side length of the rectangle is multiplied by 1/3

So, new area = (1/3)L * (1/3)W

=(1/9)LW

So, the new area is 1/9 of the original area.

7 0

4 years ago