Answer:
B
Step-by-step explanation:
Using the determinant to determine the type of zeros
Given
f(x) = ax² + bx + c ( a ≠ 0 ) ← in standard form, then the discriminant is
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct zeros
• If b² - 4ac = 0 then 2 real and equal zeros
• If b² - 4ac < 0 then 2 complex zeros
Given
f(x) = (x - 1)² + 1 ← expand factor and simplify
= x² - 2x + 1 + 1
= x² - 2x + 2 ← in standard form
with a = 1, b = - 2, c = 2, then
b² - 4ac = (- 2)² - (4 × 1 × 2) = 4 - 8 = - 4
Since b² - 4ac < 0 then the zeros are complex
Thus P(x) has no real zeros
Answer:
C
Step-by-step explanation:
This is a stem and leaf plot. If you don't know what a stem and leaf plot is, try searching it before coming back and viewing the solution. I also see an "example" button. It might help to hit that too.
First, we sort the list of numbers. Here is what we get:
64, 66, 67, 68, 69, 74, 75, 76, 78, 79
Here, the stems are the tens digits and the leaves are the ones digits.
Therefore, for the stem 6, the leaves are:
4, 6, 7, 8, 9
For the stem 7, the leaves are:
4, 5, 6, 8, 9
The answer, I believe, is C
2x - z = 4
6x - 5z = 18
3z - 2w = -18
If u want me to solve them it’s
1. X = -2y + 12
2. x = 10 - 4/3y | for y, y = 15/2 - 3/4x
3. x = 2+ 1/2z | for z , z = -4 + 2x
4. x = 3 + 5/6z | for z , z = - 18/5 + 6/5x
5. W = -3/2x + 13/2 | for x , x = -2/3w + 13/3
6. x = -5w + 13 | w = -1/5x + 13/5
Answer:
Non proportional
Step-by-step explanation:
y = mx = proportional
y = mx + b = non proportional
y = mx + b
y = 9/3x + b = non proportional
Hope that helps!
This question is super simple when you sit down and think about what it's asking. What is the cost of the whole paving lot?
We know that the paving lot is 90 ft by 75 ft, we need to start by finding the area of the whole paving lot.
Area of a rectangle is Length multiplied by Width.
90 × 75 = 6,750
The area of the paving lot is 6,750 feet squared.
Now we need to find the cost of the paving lot, we know that one square yard costs $3.50 to pave.
We can solve this by first taking the step to finding how many yards are in the paving lot.
A yard is 3 feet so we'll divide the area of the paving lot by 3.
6,750 ÷ 3 = 2,250
With the paving lot having 2,250 square yards we can now multiply this by the $3.5 cost per square yard.
2,250 × 3.5 = 7,875
It should cost $7,875 dollars to pave the entire lot.
