Answer:
DNE
Step-by-step explanation:
The the given table, we have;
As x approaches -14 from the left, at x = -14.001, p(x) = 1.96

As x approaches -14 from the right, at x = -13.999, p(x) = 1.97

The value of p(x) when x = -14 is
= Undefined, or is not definable, therefore, p(x) Does Not Exist (DNE) when x = -14, and we have;
Does Not Exist, DNE.
Answer:
y = 1/4x or y = 0.25x
Step-by-step explanation:
In this question, we are trying to write an equation with the given points.
To solve this question, we would use the slope formula: y2-y1/x2-x1
Find the slope by plugging in variables:
2-1/8-4
1/4 = m
The slope would be 1/4
Find the y intercept:
To find the y-intercept, you would need to use the slope you've found and one point, and plug it into the slope-intercept equation:
1 = 1/4(4) + b
Solve:
1 = 1/4(4) + b
1 = 1 + b
Subtract 1 from both sides
0 = b
This means that the y-intercept is 0.
Our equation will be: y = 1/4x
Answer:
Given System of equation:
x-y =6 .....,[1]
2x-3z = 16 ......[2]
2y+z = 4 .......[3]
Rewrite the equation [1] as
y = x - 6 .......[4]
Substitute the value of [4] in [3], we get

Using distributive property on LHS ( i.e,
)
then, we have
2x - 12 +z =4
Add 12 to both sides of an equation:
2x-12+z+12=4+12
Simplify:
2x +z = 16 .......[5]
On substituting equation [2] in [5] we get;
2x+z=2x -3z
or
z = -3z
Add 3z both sides of an equation:
z+3z = -3z+3z
4z = 0
Simplify:
z = 0
Substitute the value of z = 0 in [2] to solve for x;

or
2x = 16
Divide by 2 both sides of an equation:

Simplify:
x= 8
Substitute the value of x =8 in equation [4] to solve for y;
y = 8-6 = 2
or
y = 2
Therefore, the solution for the given system of equation is; x = 8 , y = 2 and z =0
Answer: Ok so first 0.05(6000 - x) + 0.07x = 372
300 - 0.05x + 0.07x = 372
300 + 0.02x = 372
0.02x = 72
x = 3600
He invested $3600 at 7% and $2400 at 5%.
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Hope this helps have a bless day❤️</h2>
Step-by-step explanation: