Answer: Plotting this equation will result in a straight line.
This is because x and y are without exponents, and it doesn't matter in what for the equation is. It can be in standard for, slope-intercept form, or point slope form. This is in standard form.
To make this easier, you can plot this equation into a graphing calculator, like desmos (online), and write down this equation in the bar just to see the result
Answer: First option.
Step-by-step explanation:
You can use the inverse tangent function to find the value of the angle T:
You can identify in the figure that:
Then, knowing these values, you can substitute them into .
Therefore, you get that the value of the angle T rounded to the nearest degree is:
This matches with the first option.
I believe that the proper binomials that factor this expression would be C, if not it would be B.
I would think it is
h=-16t^2+124t
after 4 seconds or when t=4 find h
h=-16(4^2)+124(4)
h=-16(16)+496
h=-256+496
h=240
height is 240 feet
Answer:
A pastry shop has fixed costs of
$
280
per week and variable costs of
$
9
per box of pastries. The shop’s costs per week in terms of
x
,
the number of boxes made, is
280
+
9
x
.
We can divide the costs per week by the number of boxes made to determine the cost per box of pastries.
280
+
9
x
x
Notice that the result is a polynomial expression divided by a second polynomial expression. In this section, we will explore quotients of polynomial expressions.
Simplifying Rational Expressions
The quotient of two polynomial expressions is called a rational expression. We can apply the properties of fractions to rational expressions, such as simplifying the expressions by canceling common factors from the numerator and the denominator. To do this, we first need to factor both the numerator and denominator. Let’s start with the rational expression shown.
x
2
+
8
x
+
16
x
2
+
11
x
+
28
We can factor the numerator and denominator to rewrite the expression.
(
x
+
4
)
2
(
x
+
4
)
(
x
+
7
)
Then we can simplify that expression by canceling the common factor
(
x
+
4
)
.
x
+
4
x
+
7