Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).Show all work using long division to divide your polynomial by the binomial.
Answers
f(x) = x^2 -1
linear binomial: x + 1
(x^2 - 1)/(x + 1) = (x + 1)(x - 1)/(x + 1) = x - 1
hence is a divisor
f(1) = 0
so it corroborates the reminder theorem
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What is the height of this cone?
A. y=-5/6x+4
B. y=-5/6x-6
C. y=-5/6x-4
D. y=-5/6x+6
Which equation produces a line that is perpendicular to the line represented by the function below?
y=2/5x+9
A. 5x+2y=4
B. 2x-5y=8
C. 5x+2y=-3
D.2x+5y=-7
What is the slope of the line that is parallel to the line represented by the equation below?
4x-5y+-1
A 4/5
B -4/5
C 5/4
D -5/4
Answers
Answer:
1. Missing the point - unanswerable
2. A and C
3. A
Step-by-step explanation:
Recall the slope of a line is parallel if the same slope and perpendicular if it is the negative reciprocal.
For number 1, each equation has the same slope as the function and will be parallel. Without the point, you cannot determine which one.
For number 2, find an equation that has slope -5/2. Both A and C have this property when converted to slope intercept form.
5x+2y=4 5x+2y = -3
2y=4-5x 2y= -3-5x
y=2-5/2 x y=-3/2 -5/2 x
For number 3, the slope will be the same as the equation for parallel. Convert the equation 4x-5y=-1 to find the slope.
4x-5y=-1
-5y = -1-4x
y=1/5 + 4/5 x
A is the solution.
Answers
Answer: x ≤ 5 or x > 7
Step-by-step explanation:
First, we will write an equation for the left side. It's a closed dot going to the left (less than) of 5.
x ≤ 5
Next, we will write the right side. It's an open dot going to the right (greater than) of 7.
x > 7
Lastly, we will combine these to create our compound inequality.
x ≤ 5 or x > 7
Answer:
-infinity less than or equal to 5 and 7 less than infinity
Step-by-step explanation:
Answers
Answers
The principal square root defines only the positive solution (between the two);
Therefore: if y is the principal square root of 5, then it must be the positive square root of 5, not the negative square root of 5.
Answers
Answer:
LM = 24.3
Step-by-step explanation:
In terms of similar shapes, we know that the ratio of the value of one side to its corresponding side value is equal to another. In other words, we know that LK and HG are corresponding sides by looking at the quadrilaterals. The ratio of LK to HG is equal to the ratio of another pair of corresponding sides, such as LM and IH.
Therefore, the ratio of LK and HG (LK/HG) is equal to the ratio of LM and IH (LM/IH) . Make sure to keep the same quadrilateral's sides on top/bottom. In this example, LM and LK are on the same quadrilateral, and are therefore both on top. Similarly, IH and HG are of the same quadrilateral and are both on bottom. We can write this as
LK / HG = LM / IH
34/7 = LM / 5
Multiply both sides by 5
34*5/7 = LM
LM ≈ 24.2857
Rounding to the nearest tenth, LM = 24.3
Answer:
24.3
Step-by-step explanation:
Answers
hope this helps