Answer: 6 and 1/4
Step-by-step explanation: To solve this problem, we first leave 5/2 alone so don't do anything to it.
For our second fraction, we want to switch the numerator and the
denominator which means find the reciprocal of it.
The reciprocal of 2/5 is just the opposite of it when
you flip it and it's going to be 5/2.
Because we did the opposite there, we need to do the opposite
of division and the opposite of division is multiplication.
So now we have 5/2 × 5/2 which is 25/4 or 6 and 1/4.
9514 1404 393
Answer:
-1 < x < 2
Step-by-step explanation:
The graph indicates the variable may take on values between -1 and 2, not including those values. The compound inequality is written ...
-1 < x < 2
The others don’t make any sense so it has to be “A”.
Answer:
<h2>x = 10</h2>
Step-by-step explanation:
If the triangles are similar, then the corresponding sides are in proportion:
<em>cross multiply</em>
<em>use distributive property </em><em>a(b + c) = ab + ac</em>
<em>subtract 20x from both sides</em>
Recall the inverse function theorem: if f(x) has an inverse, and if f(a) = b and a = f⁻¹(b), then
f⁻¹(f(x)) = x ⇒ (f⁻¹)'(f(x)) • f'(x) = 1 ⇒ (f⁻¹)'(f(x)) = 1/f'(x)
⇒ (f⁻¹)'(b) = 1/f'(a)
Let b = 10. Then pick the function f(x) such that f(a) = 10 and f'(a) = -8 for some number a.
