The absolute value inequality is given by:
|x| <= 7
<h3>What is the absolute value function?</h3>
The absolute value function is defined by:
The absolute value function measures the distance of a point x to the origin, that is, the distance to x = 0.
Looking at the graph, it comprehends points that are at a distance of at most 7 units to the origin, hence the absolute value inequality is given by:
|x| <= 7
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Answer:
-33/10z - 11
Step-by-step explanation:
since all of these terms are being added, there are no need for the parenthesis
-7/2z +4 + 1/5z -15
add like terms (to add the fractions, convert them to a common denominator)
-7/2z + 4 + 1/5z - 15
-35/10z + 2/10z - 11
-33/10z - 11
The function of f(4) = g(x+1) gives the value of x that is -1/5.
<h3>What is the function addition?</h3>
It is the addition of two functions similar to the addition of any two polynomial functions.
Given;
F(x)=x+1
g(x)=5x+1
We need to find f(4)=g(x+1)
First substitute x = 4 in f(x)
F(x)=x+1
F(4) = 4 + 1
F(4) = 5
Now substitute x = x + 1 in g(x)
g(x)=5x+1
g(x + 1) = 5(x + 1) + 1
g(x + 1) = 5(x + 1) + 1
g(x + 1) = 5x + 5 + 1
g(x + 1) = 5x + 6
Then ,
F(4) = g(x + 1)
5 = 5x + 6
5x = 5 - 6
5x = -1
x = -1/5.
The function of f(4) = g(x+1) gives the value of x that is -1/5.
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Step-by-step explanation:
Given equations:
y = x² + 3x - 29 ------ (i)
y = 2x - 9 ---------------- (ii)
Now to solve this problem, we must determine the value of x and y;
Equate equations 1 and 2;
x² + 3x - 29 = 2x - 9
x² + 3x - 2x - 29 + 9 = 0
x² + x - 20 = 0
x² + 5x - 4x - 20 = 0
x(x + 5 ) - 4(x + 5) = 0
(x - 4) (x+ 5) = 0
x - 4 = 0 or x + 5 = 0
x = 4 or x = -5;
So; solve for y now;
y = 2x - 9
input x = 4 or x = -5;
y = 2(4) - 9 or y = 2(-5) - 9
y = -1 or y = -19
Answer:
Step-by-step explanation:
new height is ¼ of original height
new width = ¼×8 = 2 inches
