Answer:
Option B.
Step-by-step explanation:
The given inequalities are
We need to find the ordered pair which makes both inequalities true.
Check the above inequalities for each given ordered pair.
For (-3,5),
(False)
For (-2,2),
(True)
(True)
So, both inequalities are true for (-2,2). Option B is correct.
For (-1,-3),
(False)
For (0,-1),
(False)
Both inequalities are not true for (-3,5), (-1,-3) and (0,-1).
Therefore, the correct option is B.
Answer: q³⁰
Explanation:
First just solve the first part using the exponent rules
p²q⁵ becomes 1/p-⁸q-²⁰ then we flip the fraction so the exponents become positive. Now we have p⁸q²⁰.
Before multiplying the other equation, we must simplify. p-⁴q⁵ becomes 1/p⁴q-⁵ and since it's the exponents being raised to a power we simply multiply the inner exponents times the outer exponent which yields 1/p⁸q-¹⁰. We must make q-¹⁰ positive so we will then bring it to the numerator of the fraction which gives us: q¹⁰/p⁸.
Multiply q¹⁰/p⁸ * p⁸q²⁰/1 = p⁸q³⁰/p⁸ divide the p exponents by each other which yields 0 since when u divide exponents you just subtract them so 8 - 8 = 0. Your answer is now q³⁰/1 or just q³⁰
Answer:
The given description is equivalent to the algebraic expression,
Step-by-step explanation:
The given description is ,
'The square of the ratio of 11 and k'
which is equivalent to the algebraic expression,
Answer:
4x+30, 1.875
Step-by-step explanation:
x+(x+30)+2x = 4x+30
4x+30=37.5
4x=7.5
x=1.875
Step-by-step explanation:
We need to choose all the expressions that are equal to 61.
(i) |−61| : It is true. Modulus of any negative number gives positive number. |-61|=61.
(ii) The opposite of −61 ; It is true. Opposite of negative is positive.
(iii) The opposite of 61 : It is false. The opposite of 61 gives -61.
(iv) distance from zero to −61 : It is true. Distance is positive always.
(v) −|61| : False. It remains negative.
(vi) −|−61| : False. It remains negative.
(vii) -(-61) : True. Double negative makes positive
.
Hence, the correct options are : (i), (ii), (iv), (vii).
