Estimating Sums of Single Digit NumbersWhich of the following represents the most accurate estimation of 4 + 8? is the answer 5, 10, 20 or 25

Answers

Answer 1

Answer: 10
We can round 4 down to 0 since it is less than 5 and round 8 up to 10 since it is greater than 5. Giving:
0 + 10 = 10

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Find the value of f(x) = -3x^3 + 2x^2 for f(-1)

Answers

Answer:

Step-by-step explanation:

f(-1) means that wherever you see an x on the right hand side, you give it a value of -1

f(-1) = 3(-1)^3 + 2(-1)^2

f(-1) = - 3+ 2

f(-1) = - 1

How many even integers greater than or equal to 2 and less than 20 areequal in value to the sum of two prime numbers?

Answers

Answer:

Step-by-step explanation:

Of those 9 even integers, 8 can be written as the sum of two prime numbers.

4 = 2+2; 6 = 3+3; 8 = 3+5; 10 = 5+5; 12 = 5+7; 14 = 7+7; 16 = 5+11; 18 = 7+11

What is the nth term in the sequence:
4, 7, 12, 19, 28
Please show working out

Answers

4, 7, 12, 19, 28
1st difference +3 +5 +7 +9
2nd difference +2 +2 +2

This is a geometric sequence

The form is:
an² + bn + c
2a is always = to the second difference
2a = 2
a = 1

3a + b = 2nd term - 1st term
3(1) + b = 3
3 + b = 3
b = 0

a + b + c = 1st term
1 + 0 + c = 4
1 +c = 4
c = 3

nth term of sequence {substitute all we have found}
1n² + 0 + 3
n² + 3

Simplify the expression and tell if the answer is a rational or irrationalnumber.
√144
O 12; rational number
O 12, irrational number
O 144; rational number
144; irrational number
O 72; rational number
72; irrational number