Answer:
k=6
Step-by-step explanation:
The parabola that opens up and passes through (-3,-3) will have equation,
The parabola the opens up a d passes through (-3,3) will have equation:
We want to determine the value of k, for which,
We rewrite g(x) in terms of f(x) to get:
Therefore;
Hence k=6
Given that rate of commission earned by the real estate agent = 4%
Given that required commission that real estate agents wants to earn = $7000.
Now we have to find about how expensive of a house does he have to sell to earn $7000.
So let the cost of house = $x
then commission earned = 4% of x
Given commision is $7000 so both quantities will be equal and we get equation:
4% of x = 7000
0.04x = 7000
x = 7000/0.04
x = 175000
Hence final answer is $175000.
the change in the scale factor is 
.Correct option C) StartFraction 45 feet over 40 feet EndFraction
<u>Step-by-step explanation:</u>
Here we have , Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. A rectangle with length of 15 inches and width of 5 inches. She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. We need to find Which expression finds the change in the scale factor . Let's find out:
Initially the ratio of width to actual width is :
⇒ 
Now , After 45 ft is changed to 40 ft , New ratio becomes :
⇒ 
So , change in scale factor is from to i.e.
⇒ 
⇒ 
⇒
Therefore , the change in the scale factor is .Correct option C) StartFraction 45 feet over 40 feet EndFraction
Using factorization method;
x²+13x+40=0
x²+13+40
Find two numbers that you can add together to give the co-efficient of variable x. (I.e 13 for this question). Also, you'll find two numbers that you can multiply with each other to give you the whole number as an answer. (I.e 40 in this question). The two numbers must be the same (i.e the two numbers that will be added to give the co-efficient of x and the two numbers that will be multiplied to give the whole number must be the same two).
The two numbers are +5 and +8
The equation will therefore be = x²+5x+8x+40
You'll then factorize (I.e use a common factor of both values to bracket them)
x(x+5)+8(x+5)
(x+8)(x+5)
x is therefore (x+8=0) or (x+5=0)
x=(x=0-8) or (x=0-5)
x= -8 or x= -5
Answer:they each contributed 6 $
Step-by-step explanation:
