The transformation occurs from function g is a vertical translation 6 units down.
<h3>What is Transformation?</h3>
A function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f : X → X.
Given:
g(x) = 4x + 6
g(x) = 0
4x + 6=0
x= -6/4
Now,
f(-6/4) = 2 - 1
=-1
By seeing g(x), we can say that function g is a vertical translation 6 units down.
Learn more about transformation here:
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Answer:
1. m=1/2
2. x=4/7
3. t=4
4. y=5
Step-by-step explanation:
1. 5m+4=7m+6
5m-7m=6-5
2m=1
m=1/2
2. -5x+3=2x-1
-5x-2x=-1-3
-7x=-4
x= -4/-7= 4/7
3. 5t-3=3t+5
5t-3t=5+3
2t=8
t=8/2= 4
4. 53y-55= 42y
53y-42y=55
11y=55
y=55/11=5
hope it helps!
Answer:
r = 13
Step-by-step explanation:
Hypotenuse is the side opposite to 90 degree angle, so hypotenuse is r.
Also, with respect to the angle given, the side "12" is the opposite.
So we have opposite side to angle and we need hypotenuse. Which trigonometric ratio related opposite with hypotenuse? It is SINE.
So we can write:
Rounded to nearest whole number, r = 13
To find the height of the TV you first need to realize that the question is giving you dimensions for a triangle.
Every triangle has a hypotenuse and two sides. To find the hypotenuse you square both sides, add them, and then square root. So to find one of the sides you get the hypotenuse, square it, and subtract the square length of the given side.
The equation is 25^2-20^2.
Which if simplified is 625-400, the then solution is going to be 225.
You next will square root 225, 225^(1/2). Which your answer should be 15 inches for the missing side length.
Answer:
Yes, the value 1411.8 cm³ is significantly high.
Step-by-step explanation:
Consider the provided information.
The brain volumes (cm cubed) of 20 brains have a mean of 1111.2 cm cubed and a standard deviation of 125.3 cm cubed.
The range rule of thumb to identify the limits separating values that are significantly low or significantly high is:
The range rule of thumb identifying significant values are as.
Significantly low values are μ-2σ
Substitute the μ = 1111.2 and σ = 125.3 in above formula.
1111.2-2(125.3)=860.6
Significantly high values are μ+2σ
Substitute the μ = 1111.2 and σ = 125.3 in above formula.
1111.2+2(125.3)=1361.8
The value is significantly high due to the value 1411.8 cm³ is not lie between the values 860.6 cm³ and 1361.8 cm³.
Hence, Yes, the value 1411.8 cm³ is significantly high.
