Write the word sentence as an inequality. 3.2 less than a number t is at most 7.5

Mathematics

1 answer:

mina [271]3 years ago

4 0

Answer:

$t - 3.2 \le 7.5\\$

Step-by-step explanation:

Given

Represent as inequality

Taking the statement one at a time

3.2 less than t means: t - 3.2
at most, 7.5 means less than or equal to 7.5

So, the inequality is:

$t - 3.2 \le 7.5\\$

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If the domain of the square root function f(x) is , which statement must be true?7 is subtracted from the x-term inside the radi

SIZIF [17.4K]

The question was incomplete. Below you will find the missing content.
The square root function f(x) is x <= 7

Options are :

A. 7 is subtracted from the x-term inside the radical.
B. The radical is multiplied by a negative number.
C. 7 is added to the radical term.
D. The x-term inside the radical has a negative coefficient.

Option D is correct, which is : The x-term inside the radical has a negative coefficient.

Given, the domain of the square root function f(x) is x <= 7
Consider the function y = √x.
The domain of this function is x ≥ 0 and the range is y ≥ 0.
The expression inside the radical must be greater than or equal to zero.
Now, if x ≤ 7
x - 7 ≤ 0
7 - x ≥ 0
And the function y = √(7-x) will have the domain x ≤ 7.
This implies that the x-term inside the radical has a negative coefficient.
Therefore, the statement that the x-term inside the radical has a negative coefficient must be true.