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maksim [4K]
4 years ago
15

What is the range of (w*r)(x)

Mathematics
2 answers:
m_a_m_a [10]4 years ago
8 0

Answer: The answer is A

Step-by-step explanation:

Natasha_Volkova [10]4 years ago
4 0

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

r(x)=2-x^2\\\\w(x)=x-2

we need to find the composition of function w and r i.e.

w\circ r=w(r(x))=w(2-x^2)=2-x^2-2=-x^2

Since the range of  -x^2 must be (-\infty,0}.

As its values can be any negative real number in this interval.

Hence, first option is correct.

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How many times smaller is the value of the 6 in 621 than the value of the 6 in 6420
SashulF [63]
The 6 in 621 is in the hundred's place, so alone it would equal 600.

However, the 6 in 6,420 is in the thousand's place, so it alone would equal 6,000. 
 
The question is asking how many times smaller is the value of 6 in these two numbers. Therefore, you need to divide 6,000 by 600.

Your answer should be 10.





5 0
4 years ago
To aid in sea navigation, Little Gull Island Lighthouse shines a light from a height of 91 feet above sea level with an unknown
algol13

Answer:

\approx 6^\circ

Step-by-step explanation:

Given that:

Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.

The angle of depression is unknown.

Distance of the point at sea surface from the base of lighthouse is 865 ft.

This situation can be modeled or can be represented as the figure attached in  the answer area.

The situation can be represented by a right angled \triangle ABC in which we are given the base and the height of the triangle.

And we have to find the value of \angle BAD \ or \ \angle C (Because they are the internal vertically opposite angles).

Using tangent ratio:

tan\theta = \dfrac{Perpendicular}{Base}

tanC = \dfrac{AC}{BC}\\\Rightarrow tanC = \dfrac{91}{865}\\\Rightarrow tanC = 0.105\\\Rightarrow \angle C \approx 6^\circ

Therefore, the angle of depression is: \approx 6^\circ

7 0
3 years ago
Draw a triangle that has no right angles
IRINA_888 [86]
Here's another one.
See the attached picture.

5 0
4 years ago
Read 2 more answers
Three consecutive integers have a sum of 168. What is the value of the largest integer
Svet_ta [14]
Largest integer: 57

x + x + 1 + x + 2 = 168 
3x + 3 = 168
-3             -3
3x       = 165
/3             /3 
x         = 55 

x = smallest integer = 55
x + 1 = middle integer = 55 + 1 = 56
x + 2 = largest integer = 55 + 2 = 57 
6 0
4 years ago
Write an improper fraction equivalent to 7 %.​
miskamm [114]

Answer:

7/7

Step-by-step explanation:

The fraction 7/7 is considered to be improper by most mathematicians. The definition of a proper fraction is that the numerator is less than the

7 0
3 years ago
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