Answer:
no
Step-by-step explanation:
because 25 cannot go in 27
Consider this solution (see the attachment, 5 steps).
Answer:
B) y=3x+7.5
Step-by-step explanation:
The equation of the data in the table can be obtained by using any two points.
We will use points (3, 13) and (5,17)
<u>The slope - intercept form is: </u>
<u>We find the slope as:</u>
- m = (17-13)/(5-3) = 4/2 = 2
<u>The equation becomes:</u>
<u>To find the value of b, the y -intercept is:</u>
- 13 = 2*3 + b ⇒ b= 13 - 6 = 7
<u>So the equation is:</u>
<u />
<h3>Now let's compare this with the options</h3>
A) y = 2x + 8.5
- The slope is 2, and y- intercept is 8.5
- It has same slope and greater y-intercept
- Answer is <u>no</u>
B) y=3x+7.5
- The slope is 3, and y- intercept is 7.5
- It has greater slope and greater y-intercept
- Answer is <u>yes</u>
C) y=5x+6.5
- The slope is 5, and y- intercept is 7.5
- It has greater slope but smaller y-intercept
- Answer is <u>no</u>
D) y=10x+5.5
- The slope is 10, and y- intercept is 5.5
- It has greater slope but smaller y-intercept
- Answer is <u>no</u>
Answer:
Below.
Step-by-step explanation:
I can't see the words on your image very well but I can give you an explanation of the remainder theorem.
The theorem allows you to find the remainder of a division without doing the division itself.
You can find the remainder when a polynomial is divided by a linear expression like 3x - 2, for example, using this theorem.
An example will explain the method:
What is the remainder when x^3 - x^2 - 2x - 5 is divided by 2x - 1?
Put 2x - 1 = 0, this gives x = 0.5.
Now we plug x = 0.5 into the polynomial:
This = (0.5)^3 - (0.5)^2 -2(0.5) - 5 = -6.125
So the remainder is -6.125.
The formal definition is
The remainder when P(x) is divided by x - a is f(a).