Answer:
C. In the given expression -9 + p < 15 , the value of p < 24.
Step-by-step explanation:
Here, the given expression is :
-9 + p < 15
Now, solving for the value of p.
If equals are added to both sides of inequality, the inequality remains unchanged.
Now, -9 + p < 15
⇒ -9 + p + 9 < 15 + 9 (adding +9 on both sides)
or, p < 24
Hence, in the given expression -9 + p < 15 the value of p < 24.
Answer:

Step-by-step explanation:
∵ The quadratic equation form is :
y = [1/2(b - k)] (x - a)² + (b + k)/2
Where (a , b) is the focus and directrix y = k
∵ The focus is (4 , -3) and directix is y = -6
∵ 
∴ 
∴ 
another way:
Assume that (x , y) is the general point on the parabola
∵ The distance between the directrix and (x , y) = the distance between the focus and (x , y)
By using the distance rule:
∵ (y - -6)² = (x - 4)² + (y - -3)² ⇒ (y + 6)² = (x - 4)² + (y + 3)
∴ y² + 12y + 36 = (x - 4)² + y² + 6y + 9
∴ 12y - 6y = (x - 4)² + 9 - 36
∴ 6y = (x - 4)² - 27 ⇒ ÷ 6
∴ y = 1/6 (x - 4)² - 9/2
Answer:
Radius = 1 in
then the volume of bubble = 4/3 π r^3
= (4/3 × 22/7 × 1) in^3 = 88/21 in^3
Hope it helps
The range of the function shown on the graph (see attachment) is: D. -9 ≤ y ≤ 8.
<h3>What is a range?</h3>
A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.
<h3>How to identify the range of this graph?</h3>
The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph shown in the image attached below, we can reasonably infer and logically deduce the following:
Range = [-9, 8]
In interval notation, the range of this graph can be rewritten as -9 ≤ y ≤ 8.
Read more on range here: brainly.com/question/16610662
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<u>Complete Question:</u>
Select the correct answer.
A graph plots two points at (negative 7, 8) and (negative 2, negative 9) on the x y coordinate plane. A diagonal curve connects both points.
What is the range of the function shown on the graph above?
A. -7≤y≤-2
B.-8≤y≤8
C.-2≤y≤-7
D. -9≤y≤8
Answer:
In order to out a fraction in lowest terms, you must divide by the Greatest Common Factor, or GCM, of the numerator and denominator in the fraction. Let's say we have the fraction 25/100. We know that the greastest common factor of 25 and 100 is 25, as 25 ÷ 25 = 1 and 100 ÷ 25 = 4 so 25/100 in lowest terms is 1/4:
25 25 1
___ ÷ ___ = ___
100 25 4
If the GCM of a fraction equals 1, the fraction is simplified. Because the only common factor of 1 and 4 is 1, we know this fraction is simplified.
1 1 1
__ ÷ ___ = ___
4 1 4
Hope this helps <3 Please contact me if your still confused