Answer:
76
Step-by-step explanation:
given a quadratic equation in standard form : ax² + bx + c = 0 : a ≠ 0
then the discriminant is Δ = b² - 4ac
given 3x² - 10x = - 2 ( add 2 to both sides )
3x² - 10x + 2 = 0 ← in standard form
with a = 3, b = - 10 and c = 2
b² - 4ac = (- 10)² - (4 × 3 × 2) = 100 - 24 = 76
<span>The weights of the fish in a certain lake are normally distributed with a mean of 18 lb and a standard deviation of 12. </span>
Answer:
231 feet of fabric
Step-by-step explanation:
Gina's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot.
Converting from inches to foot
1 inch = 1/12 foot
36 inches = x feet
x = 36 × 1/12 foot
x = 3 feet
Hence, each curtain = 3 feet
If Gina's curtain company wants to make 77 curtains, how many feet of fabric will she need?
This is calculated as:
1 curtain = 3 feet
77 curtains = x
Cross Multiply
x = 77 × 3 feet
x = 231 feet
Hence, she would need 231 feet of fabric
The given expression is
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First, we use the distributive property to get rid of the parenthesis.
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Now, we sum 2x on each side
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As you can observe, the variables were eliminated and the resulting equation is true. This means the equation has infinite solutions.
16 and 20
4x/5+x=36
x=20
4x/5=16
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