Answer:
temp after 7 minutes is 135°
temp after 't' minutes: y = 65 + 10t
Step-by-step explanation:
Answer:
The restrictions will be:
x ≠ 0;
x² ≠ 0 ⇒ x ≠ 0 ;
5x² ≠ 0 ⇒ x² ≠ 0 ⇒ x ≠ 0;
Step-by-step explanation:
As we know that
There are two genuine reasons why domains are restricted.
We cannot divide the expression by 0 as it would be undefined then.
We cannot take the square root of a negative number, as the result will not be a defined.
Considering the expression
As we can not put x = 0 in the denominator as it would make the expression undefined.
In other words, the certain values which make the denominator equal to zero for a rational expression will be restricted values.
Hence, the restrictions will be:
x ≠ 0;
x² ≠ 0 ⇒ x ≠ 0 ;
5x² ≠ 0 ⇒ x² ≠ 0 ⇒ x ≠ 0;
For quadratics, these formulas are used mainly for factoring.
Your equation can be written as ...
... 2(x² +2x -3) = 0
You factor this by looking for factors of -3 (c=x1·x2) that add to give +2 (b=-(x1+x2)). These are {-1, +3}, so the factorization is ...
... 2(x -1)(x +3) = 0
The roots are then 1 and -3, which sum to -b = -2.
(You will note that the numbers used in the binomial factors are the opposites of the roots x1 and x2 in the Viete's Formulas. That is how we can look for them to sum to "b", rather than "-b".)
Answer:
First angle: 27
Second angle: 135
Third angle: 18
Draw a triangle with one obtuse angle and 2 acute angles.
Step-by-step explanation:
<u>Determine the variables</u>:
first angle: f
second angle: s
third angle: t
<u>Write an equation for the second angle:</u>
s=5f
<u>Write an equation for the third angle:</u>
t=2/3f
<u>Write an equation for the total angle measurements:</u>
s+t+f=180
<u>Substitute them and solve</u>
5f+2/3f+f=180
f=27
5(27)=135=s
2/3(27)=18=t
First angle: 27
Second angle: 135
Third angle: 18
Answer:
y - 3 = 2(x - 1).
Step-by-step explanation:
Point-slope form is
y - y1 =m(x - x1)
Here m (slope) = 2 , x1 = 1 and y1 = 3:
y - 3 = 2(x - 1).