Answer:
A. the leading coefficients of f (x) and g (x) are opposites
Step-by-step explanation:
A. the leading coefficients of f (x) and g (x) are opposites
A quadratic function in its generic form is:
f (x) = ax2 + bx + c
g (x) = dx2 + ex + f
The sum of the functions is:
(f + g) (x) = (a + d) x2 + (b + e) x + (c + f)
For the function to be linear necessarily:
a = -d
Answer: The minimum and maximum distances that Morgan's dog may be from the house are 508 meters and 492 meters.
Step-by-step explanation:
Hi, to answer this question we have to solve the given equation: |x – 500| = 8.
The modulus can take a positive value (x - 500) or a negative value (-x+500).
- <em>For the positive value:
</em>
x -500 = 8
x = 8+500
x =508
- <em>For the negative value:
</em>
- (x -500) =8
-x +500 =8
500 -8 = x
492 =x
So, the minimum and maximum distances that Morgan's dog may be from the house are 508 meters and 492 meters.
Feel free to ask for more if needed or if you did not understand something.
Answer:
The measure of Arc EH is 123°.
Step-by-step explanation:
Consider the diagram below.
It is provided that ∠EDH ≅ ∠EDG.
This implies that: ∠EDH = ∠EDG
The arc measure is same as the measure of the central angle.
That is:
arc FE = ∠EDF = 57°
arc FG = ∠FDG = 66°
Compute the measure of angle ∠EDH as follows:
arc EH = ∠EDH
=∠EDG
= ∠EDF + ∠FDG
= 57° + 66°
= 123°
Thus, the measure of Arc EH is 123°.
so, we know the mixture is the sum of both types of coffee, thus x + 20 = y, and 4x + 140 = 5y.
Answer:
$93.75
Step-by-step explanation:
The computation of the total cost of order is shown below:
The Cost of 8 pounds of Pepperoni is
= 8 × $3.15
= 25.2
The Cost of 15 pounds of cheese is
= 15 × $1.85
= $27.75
The Cost of 12 pounds of sausage is
= 12 × $3.40
= $40.8
So, The total cost is
= $25.2 + 27.75 + $40.80
= $93.75
