Answer:
slope should be 1.50x and your y-intercept should be 7.50
Step-by-step explanation:
Answer:
49/8 is the value of k
Step-by-step explanation:
We have the system
x = -2y^2 - 3y + 5
x=k
We want to find k such that the system intersects once.
If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.
This equation has one solution when it's discriminant is 0.
Let's first rewrite the equation in standard form.
Subtracting k on both sides gives
0=-2y^2-3y+5-k
The discriminant can be found by evaluating
b^2-4ac.
Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that
a=-2, b=-3, and c=5-k.
So we want to solve the following equation for k:
(-3)^2-4(-2)(5-k)=0
9+8(5-k)=0
Distribute:
9+40-8k=0
49-8k=0
Add 8k on both sides:
49=8k
Divide both sides by 8"
49/8=k
Answer:
Step-by-step explanation:
50,000
I think
<u>Answer:</u>
A = 70
B = 90
<u>Step-by-step explanation:</u>
We know that Car A travels 20 mph faster than Car B.
Assuming the speed of Car B to be x and the speed of Car A to be x+20, we can write:
Taking the reciprocal of both sides to make x the subject:
---> speed of Car A
Finding the speed of Car B: 
Therefore, the speed of Car A = 70 and the speed of Car B = 90.
Answer:
The scale factor is 18 to 1 for the painting
Step-by-step explanation:
Here we want to get the scale factor of the original to what is reproduced
Let us have same units first
Mathematically;
1 foot = 12 inches
3 feet = 36 inches
2 feet = 24 inches
So 36 to 2 and 24 to 1 1/3
That will be ratio 36/2 = 18 to 1
same as 25 divided by 1 1/3 = 18 to 1
