<u>Step-by-step explanation:</u>
A linear function : Linear functions are those whose graph is a straight line.
, A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept. It is the value of the dependent variable when 
. b is the coefficient of the independent variable.
- rate of change: Ratio between two related quantities that are changing.
- slope: The ratio of the vertical and horizontal distances between two points on a line; zero if the line is horizontal, undefined if it is vertical.
In real life, we know that voltage is directly proportional to current , having resistance as a proportionality constant or more precisely slope of line :
, slope remains constant but , voltage is directly proportional to current .
14> Volume of a rectangular prism = length * width * height
= (3+1/4) * (2) *(1 + 1/2) ft^3
=(13/4)*2*(3/2) = 39/4 = 9 3/4 ft^3 [....Option D....]
15> We have the following coordinates for vertices of our rectangle:
( - 10, 2) (15, 2) (15, 5) (-10, 5)
You might want to graph it if this helps. But the gist is that opposite sides of rectangles are the same. So freezing either the x and y coordinate and subtracting from the y coordinate and x coordinates we get:
5 and 3. 5>3 therefore 5 is the answer.[ Option A ]
Hope this helped:)
Answer:
y = <u>x</u> + 2
2
i think this is helpful
Step-by-step explanation:
equation= <u>y</u><u> </u><u>-</u><u> </u><u>1</u><u> </u><u> </u> = <u>1</u>
x - -6 2
then you close multiplication
= 2(y -1)= 1(x - -6)
2y - 2 = x - -6
you make Y as a subject
2y = x- -6 + 2
2y = x + 4
then you divide by 2 on both sides
<u>2</u><u>y</u> = <u>x</u> + <u>4</u>
2 2 2
y = <u>x</u> + 2
2
Answer:
Step-by-step explanation:
Sum = -14
Product = - 32
So, the factors = -16 , 2
When we add -16 +2 = -12 and when we multiply it is -32
w⁴ - 14w² - 32 = w⁴ - 16w² + 2w² - 16 * 2
= w²(w² - 16) + 2(w² - 16)
= (w² - 16)(w² + 2)
= (w² - 4²)(w² + 2)
= (w + 4)(w - 4)(w² + 2)
