Answer:
yes
Step-by-step explanation:
its called an isoceles triangle
As we can tell, the first number is 3, so we'll have a y-intercept in our equation and overall. Secondly, we can tell it's increasing by 7 each time, so we can tell that's the rate. But, it won't just be 3+7x, if we plug 1 in, it would be 10 and not 3. We need to put in the parenthesis 3+7(x-1). If we put one in, we would receive three. Let's make sure this works.
3+7(5-1)
3+7(4)
3+28
31
31 is the fifth terms.
So the expression would be 3+7(x-1).
Let's find the 100th term.
3+7(100-1)
3+7(99)
3+693
696
So the 100th term would be 696.
Answers:
- False
- True
- True
- False
- True
- False
===============================================
Explanations:
- If we can write a number as a ratio (or fraction) of two whole numbers, then that number is considered rational. The denominator can never be 0. In the case of 6/4, this is a rational number. Therefore, the statement "6/4 is irrational" is false.
- This is a true statement. We cannot write sqrt(2) as a fraction of two integers. The proof of this is fairly lengthy, but one way is to use a proof by contradiction to show that sqrt(2) = a/b is impossible. Since we cannot make sqrt(2) into a ratio of two integers, we consider it irrational.
- This is a true statement. Any terminating decimal is always rational. In this case, 1.3 = 13/10.
- This is false. Any repeating decimal can be converted to a fraction through a bit of work. It turns out that 17.979797... = 1780/99 which makes the value to be rational.
- Any integer is rational. We can write the integer over 1. So something like -16 is the same as -16/1, showing how it is rational. So that's why this statement is true.
- This statement is false because we found true statements earlier.
Let's solve your inequality step-by-step.
−5(4x+6)<−18x+6+4x
Step 1: Simplify both sides of the inequality.
−20x−30<−14x+6
Step 2: Add 14x to both sides.
−20x−30+14x<−14x+6+14x
−6x−30<6
Step 3: Add 30 to both sides.
−6x−30+30<6+30
−6x<36
Step 4: Divide both sides by -6.
−6x
−6
<
36
−6
x>−6
Answer:
x>−6
