Answer:
x-intercepts: (2, 0) and (−5, 0)
y-intercept: (0, −10)
Step-by-step explanation:
y = x^2 + 3x − 10
y-intercept when x = 0 so y = -10, so y-intercept : (0, -10))
x-intercept when y = 0 so
x^2 + 3x − 10 = 0
(x +5)(x - 2) = 0
x + 5 = 0; x = -5
x - 2 = 0; x = 2
So x-intercepts: (-5, 0) and (2,0)
Answer:
The length of the four pieces of protective strip is 96 feet
Step-by-step explanation:
Let the w be the width of the rectangular house and L is length. Since L = w + 16, its perimeter P = 2(w + L)
= 2(w + w + 16)
= 2(2w + 16)
Since the perimeter of the house P = 136 feet,
136 = 2(2w + 16)
dividing through by 2, we have
136/2 = (2w + 16)
68 = (2w + 16)
collecting like terms, we have
68 - 16 = 2w
52 = 2w
dividing through by 2, we have
w = 52/2
w = 26 feet.
Now, since the side walk is 3 foot wide all around, the width of the house plus sidewalk = w + 3 and the length of the house plus sidewalk = L + 3 = w + 16 + 3 = w + 19.
So, the perimeter of the house plus sidewalk which is the perimeter of the four pieces of protective strip is P' = 2(w + 3 + w + 19)
= 2(w + 22)
= 2(26 + 22)
= 2(48)
= 96 feet
So, the length of the four pieces of protective strip is 96 feet.
<h3>Answer: so 3 goes into 12 4 times and 5 times 4 is 20.
Step-by-step explanation:
</h3>
65 times 5 is 325 then u take 1000 and minus 325 from it and end up with 675
Answer:
b= -4.68
Step-by-step explanation:
Hello!
We have to study variables:
Y: Monthly coffe sales
X: Price per pound of coffe ($)
The estimate regression line is
^Yi= a + bxi ∀ (i=1,.....,10)
The slope of the estimated regression line is represented by b.
The formula I'll use to calculate it is:
b= [n∑xiyi -(∑xi)*(∑yi)]/ n∑xi²-(∑xi)²
To calculate b we need to do some auxiliary calculations:
∑xiyi= 4213.15
∑xi= 87.47
∑yi= 545
∑xi²= 883.3703
Then we replace the formula:
b= [10*4213.15-(87.47)*(545)]/ n883.3703-(87.47)²
b= -4.68
I hope you have a SUPER day!
