Answer:
Step-by-step explanation:
Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format .
Where,
b = y-intercept or the point at which the line cuts the y-axis.
Let's find slope (m) using the slope formula:
Let,
Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.
Plug in the values of m and b into the slope-intercept formula to get the equation of the line.
Let's use the equation to find x when y = 112.
Substitute y = 112 in the equation
Divide both sides by 8
Solving the equations by graphing requires plotting the given functions.
y=x^2-3
x-y=1
thus the plot will be as shown in the picture. The solutions are:
(-2,-1) and (2,1)
(-3,0) and (5, -2)
slope = (0 + 2) /(-3 - 5) = -2/8
y - 0 = -2/8 (x + 3)
y = -2/8 x - 6/8
8y = -2x - 6
2x + 8y = - 6
Answer is
D. 2x + 8y = -6
A straight line is 180° and this is less than that but it’s more than 90°, 105° is close to 90 and this is a bit bigger so your best estimate is
B.) 180°
Answer:
a) h(3) = 9
b) h(0) = 6
c) h(6) = 4
Step-by-step explanation:
Piecewise functions have <u>multiple pieces</u> of curves/lines where each piece corresponds to its definition over an <u>interval</u>.
Given piecewise function:
Therefore, the function has two definitions:
<u>Part (a)</u>
h(3) means to substitute x = 3 into the function.
As <u>x does not equal 6</u>, substitute x = 3 into the <u>first piece of the function</u>:
<u>Part (b)</u>
h(0) means to substitute x = 0 into the function.
As <u>x does not equal 6</u>, substitute x = 0 into the <u>first piece of the function</u>:
<u>Part (c)</u>
h(6) means to substitute x = 6 into the function.
As <u>x equals 6</u>, then use the <u>second piece of the function</u>:
Learn more about piecewise functions here:
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