Answer:
is the slope and 
is the y-intercept.
Step-by-step explanation:
The slope-intercept form of a line is given as:
Here, the coefficient of 
represents the slope of the line.
The coefficient of is and hence the slope.
y-intercept is the value of 
for which is is 0.
Now, if we put as 0 in the above equation, we get
Therefore, y-intercept is .
Hence, for the line with slope-intercept form , is the slope and is the y-intercept.
Answer: T(90) = 93.413 F
Step-by-step explanation:
The temperature T of an object in degrees Fahrenheit after t minutes is represented by the equation
T(t) = 69e−0.0174t + 79.
T is the dependent variable while t is the independent variable. To determine any value for Temperature, we will input the corresponding value for time into the function.
We want to determine the temperature of the object after one and a half hours. This means that we have to convert one and a half hours to minutes
1f 1 hour = 60 minutes
Then 1.5 hours = 1.5 × 60 = 90 minutes.
We would substitute t = 90 minutes into the equation, it becomes
T(90) = 69e−0.0174×90 + 79
T(90) = 69e−1.566 + 79
T(90) = 14.413 + 79
T(90) = 93.413 F
The numbers are 59 and 61
Answer:
Add all the values up and divide by 7 ( as there are 7 values in the data set)
Step-by-step explanation:
1.9 + 10 + 11 + 16 + 12 + 12 + 14 = 76.9
If you divide by 7, you will get 10.9857142857.
Answer:
The factors of given polynomial x =-1 , -2 and x =3
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given the polynomial
f(x) = x³ - 7x -6
put x =-1
f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0
(x+1) is a one factor
By using synthetic division
x³ x² x constant
x=-1 ↓ 1 0 -7 -6
<u>↓ 0 -1 1 6</u>
<u> 1 -1 -6 0 </u>
<u />
<em>The polynomial x² - x - 6 </em>
<u><em>Step(ii):-</em></u>
The factors ( x+1)(x² - x - 6 ) = 0
x = -1 and x² - x - 6 =0
x =-1 and x² - 3x + 2 x - 6 =0
x =-1 and x (x -3) + 2( x-3) =0
x =-1 and (x+2)(x-3) =0
<u><em>Final answer:-</em></u>
The factors of given polynomial x =-1 , -2 and x =3
