Answer:
<h2>2(x - 5)(x + 3)</h2>
Step-by-step explanation:
![2x^2-4x-30\\\\=2\cdot x^2-2\cdot2x-2\cdot15\\\\=2(x^2-2x-15)\\\\=2(x^2+3x-5x-15)\\\\=2[x(x+3)-5(x+3)]\\\\=2(x+3)(x-5)](https://tex.z-dn.net/?f=2x%5E2-4x-30%5C%5C%5C%5C%3D2%5Ccdot%20x%5E2-2%5Ccdot2x-2%5Ccdot15%5C%5C%5C%5C%3D2%28x%5E2-2x-15%29%5C%5C%5C%5C%3D2%28x%5E2%2B3x-5x-15%29%5C%5C%5C%5C%3D2%5Bx%28x%2B3%29-5%28x%2B3%29%5D%5C%5C%5C%5C%3D2%28x%2B3%29%28x-5%29)
If the pendulum is 40 inches long, its tip moves 13.96” each second.
I am hoping that this answer has satisfied your query and it will be
able to help you in your endeavor, and if you would like, feel free to ask
another question.
The order of operations .☺
Answer:
208⅓ ft²
Step-by-step explanation:
The dimensions of Rachel's living room are 80 times the measurements on the scale drawing.
Calculate the width:
w = 80 × 1⅞
Convert the mixed number to an improper fraction = 80 × 15/8
Cancel the 8s = 10 × 15
= 150 in
Convert inches to feet = 150/12
Convert the improper fraction to a mixed number = (144 + 6)/12
= 12⁶/₁₂
Reduce the fraction to lowest terms = 12½ ft
Calculate the length
l = 80 × 2½ = 80 × 5/2 = 40 × 5 = 200 in = 200/12 = (192 + 8)/12
l = 16⁸/₁₂ = 16⅔ ft
Calculate the area
A = lw
A = 16⅔ × 12½
Convert the mixed numbers to improper fractions
A = 50/3× 25/2
Cancel the 2s
= 25/3 × 25
Multiply numerators and denominators
= 625/3
Convert the improper fraction to a mixed number
= (624 + 1)/3
= 208⅓ ft²
The area of Rachel's living room is 208⅓ ft².
Hello there!
To find the x and y intercept points of the equation, plug in zero for the x and solve for y to find the y intercept, and vice versa.
To start, let's first start out by plugging in 0 for the x value and solve for y:
y=-1/3(0)+3
When you simplify this expression, you should get a result of y= 3.
This would mean that the point where your y intercept is at is at (0,3)
Now, let's solve for the x intercept by plugging 0 in for y and solving for x:
0=-1/3x+3
-3=-1/3x
-9=-x
x=9
Now that you have gotten x=3, you can conclude that the point of the x intercept is (9,0)
Hope this helps!
