we know that
The x-intercept is the value of the variable x when the value of the function is equal to zero
so
In the table we have
is a x-intercept, because
For
the value of the function is equal to zero
is a x-intercept, because
For
the value of the function is equal to zero
therefore
<u>the answer is</u>
the continuous function in the table has two x-intercepts


Step-by-step explanation:
Let the number be x.
ATQ,
Malachy halves the number and gets an answer of 67.3.

This the equation for the given statement.
It can also be written as :

Hence, this is the required solution.
We know that
if t<span>he temperature T of a given mass of gas varies inversely with its volume V
</span>then
T=k/V
Step 1
Find the value of k
for T=30º C and V=105 cm³
we have
T=k/V--------> k=T*V--------> k=30*105=3150 °C*cm³
therefore
for V=84 cm³
T=3150/84=37.5 °C
the answer is 37.5 °C
Answer: (0.8115, 0.8645)
Step-by-step explanation:
Let p be the proportion of people who leave one space after a period.
Given: Sample size : n= 525
Number of people responded that they leave one space. =440
i.e. sample proportion: 
z-score for 90% confidence level : 1.645
Formula to find the confidence interval :


Hence, a 90% confidence interval for the proportion of people who leave one space after a period: (0.8115, 0.8645)