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3 years ago

15

Find the sum.express your answer in simplest form

1 answer:

Anon25 [30]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

Since the denominators of both fractions are common

Add the numerators leaving the denominator

= $\frac{8g^2+8-4g^2-2}{h^2-3}$

= $\frac{4g^2+6}{h^2-3}$

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The triangular numbers are defined by the recursive formula t1 = 1, tn = tn - 1 + n, where n ∈N and n > 1. What are the first

GalinKa [24]

ANSWER

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

EXPLANATION

The recursive formula is,

$t_1=1,t_n=t_{n-1}+n$

when n is a natural number greater than 1.

When n=2,

$t_2=t_{2-1}+2$

$t_2=t_{1}+2 = 1 + 2 = 3$

when n=3,

$t_3=t_{2}+2 = 3 + 3= 6$

when t=4,

$t_4=t_{3}+2 = 6+ 4= 10$

When t=5,

$t_5=t_{4}+5 = 10 + 5 = 15$

when t=6,.

$t_6=t_{5}+6 = 15 + 6 = 21$

when t=7

$t_7=t_{6}+7 = 21 + 7 = 28$

When t=8,

$t_8=t_{7}+8 = 28 + 8 = 36$

When t=9,

$t_9=t_{8}+9 = 36 + 9 = 45$

Hence the first nine triangular number are

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

3 0

3 years ago

Select the two values of x that are roots of this equation.<br> 2x2 + 11x - 6 = 0

sukhopar [10]

Answer:

2×2 +11x - 6 =0

4 + 11x - 6 = 0

11x - 6 =4

-6 + 4 = 11x

-2 = 11x

X =11/2

X =5.2

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3 years ago

What is the mean of 72, 65, 76, 34, 98, 76, 64, 54, and 64.

SOVA2 [1]

Answer:

67

Step-by-step explanation:

Mean is the average

Add up all the values and divide by the numbers there are.

In this case, divide by 9.

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3 years ago

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please help! I need to solve kt algebraically and if you can show your work/explain how you got the answer that would help a ton

Tasya [4]

Step-by-step

=> 900=-100x+300

=> -100x+300=900

=> -100x=900–300

=> -100x=600 divide both side by -100

=> x=-6

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3 years ago

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Simplify the expression:<br> 7r2+5r2+9r

jenyasd209 [6]

Answer:

9r+7r+9r

Step-by-step explanation:

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3 years ago

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