Given that z is inversely proportional to x, then:
zα1/x
hence;
z=k/x
where k is the constant of proportionality;
this implies that:
k=xz
when x=6,z=0.5
thus;
k=0.5*6
k=3
hence;
z=3/x
when x=10,
z=3/10
the answer is 3/10
Answer:
= -43
Step-by-step explanation:
Evaluating the expression;
(–1)8 + (–1)7 + –16 + –14 – (–1)2
We can use Bodmas
We remove the brackets first
(–1)8 + (–1)7 + –16 + –14 – (–1)2
We get
-8 + - 7 + -16 + -14 - -2
but; - × + = - and - × - = +
Thus;
-8 - 7 - 16 - 14 + 2
= -8 -7 - 16 - 12
<u>= -43 </u>
Answer:
3,240
Step-by-step explanation:
Multiply 72 x 45
Answer:
238/1250.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given equation of the quadratic function is,
y = x² + 5x - 7
Convert this equation into vertex form,
y = x² + 2(2.5x) - 7
= x² + 2(2.5x) + (2.5)² - (2.5)² - 7
= (x + 2.5)²- 6.25 - 7
= (x + 2.5)² - 13.25
Therefore, vertex of the function is → (-2.5, -13.25)
For the solutions,
y = 0
(x + 2.5)² - 13.25 = 0
x = (±√13.25) - 2.5
x = (±3.64) - 2.5
x = 1.14, -6.14
Solutions → (-6.14, 0) and (1.14, 0)
