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Tcecarenko [31]
3 years ago
14

Which Inequality reflects the verbal sentence: "The sum of a and b is at most 50!"

Mathematics
1 answer:
aev [14]3 years ago
6 0
A+b is less than or equal to 50
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Find the 5th term of the sequence in which T1=8 and Tn=3t n-1
yan [13]
T_n = 3 * T_(n-1)

Long way (always works!)
T_5 = 3*T_4,
T_4 = 3*T_3
T_3 = 3*T_2
T_2 = 3*T_1

T_5 = 3*3*3*3*T_1 = 81*T_1 = 81*8 = 648!

Short way (sometimes it works!)

T_n = 3^(n-1) * T_1 (this case is a geometric series of ratio-=3)
T_5 = 3^4*8 = 648
6 0
3 years ago
Ricardo purchased a new car with special 1.9% financing. If the cars price was 17,999 and he financed it for years, find his mon
frosja888 [35]

Answer:

the answer is actually $389.71

Step-by-step explanation:

4 0
3 years ago
What is the vertex form of y=-2x2+4x + 3?
sukhopar [10]

Answer:

y=-2(x-1)^2+5

Step-by-step explanation:

we have

y=-2x^2+4x+3

This is the equation of a vertical parabola open downward

The vertex represent a maximum

Convert the quadratic equation into vertex form

step 1

Factor -2

y=-2(x^2-2x)+3

step 2

Complete the square

y=-2(x^2-2x+1)+3+2

y=-2(x^2-2x+1)+5

step 3

Rewrite as perfect squares

y=-2(x-1)^2+5 ----> equation in vertex form

The vertex is the point (1,5)

3 0
3 years ago
Why is 4b-7-3b+9 equal to b+2
rodikova [14]
The first expression can be simplified by combining like terms.

First, the terms "4b" and "-3b" can be combined to form "b"
Then, the terms "-7" and "9" can be combined to form "2"

Finally, we simply put these two final terms together, to form "b+2"

Hence, 4b-7-3b+9 is equal to be + 2.

Hope this helps!
8 0
3 years ago
(20 pts)
irakobra [83]

A function can be represented by equations and tables

  • 4 users are logged in by 9am
  • The domain is [3,23] and the range of the function is [3,4]

<h3>The number of users at 9am</h3>

The function is given as:

g(x) = \frac14 \sqrt{x - 3} + 3

At 9am, x = 9.

So, we have:

g(x) = \frac14 \sqrt{9 - 3} + 3

g(x) = \frac14 \sqrt{6} + 3

Simplify

g(9) = 3.6

Approximate

g(9) = 4

Hence, 4 users are logged in by 9am

<h3>The domain</h3>

Set the radical to 0

x - 3 = 0

Solve for x

x = 3

The maximum time after midnight is 23 hours.

So, the domain is [3,23]

<h3>The range</h3>

When x = 3, we have:

g(x) = \frac14 \sqrt{x - 3} + 3

g(3) = \frac 14 * \sqrt{3 - 3} + 3 = 3

When x = 23, we have:

g(23) = \frac 14 * \sqrt{23 - 3} + 3 = 4

So, the range of the function is [3,4]

Read more about domain and range at:

brainly.com/question/2264373

3 0
3 years ago
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