What is the answer please!
Answer:
5
Step-by-step explanation:
Assuming the n+9 is in the denominator, start by cross multiplying.
multiply the n+9 by 2 and 4 by 7 to form the eqution 2n+18 = 28.
subtract the 18 from both sides to form the equation 2n = 10.
divide both sides by 2 to answer n = 5.
Another method is to think how to create equivalent fractions. to have 4/n+9 equal 2/7, the 2/7 is equivalent to 4/14. that means that n+9 is equivalent to 14, because the numerator are equal to each other. if n+9 = 14, then n = 5.
To find the coordinates of the point on the curve where the tangent passes through the origin, we need to find the equation of the tangent line and then solve for the x-coordinate of the point of tangency.
Let's break it down step by step:
1. Start with the equation of the curve: y = x² + 3x + 4.
2. Find the derivative of the curve to find the slope of the tangent line. The derivative of y = x² + 3x + 4 is dy/dx = 2x + 3.
3. Set the derivative equal to the slope of the line passing through the origin, which is 0 since the line is horizontal. So, 2x + 3 = 0.
4. Solve the equation to find the x-coordinate of the point of tangency. Subtract 3 from both sides: 2x = -3. Divide by 2: x = -3/2.
5. Plug the x-coordinate back into the original equation to find the y-coordinate. y = (-3/2)² + 3(-3/2) + 4 = 9/4 - 9/2 + 4 = 9/4 - 18/4 + 16/4 = 7/4.
6. Therefore, the point on the curve where the tangent passes through the origin is (-3/2, 7/4).
None of the given options match the coordinates (-3/2, 7/4). Therefore, none of the options are correct.
ASAP PLEASE HELP!
Answer: The values of the variable can only be placed into categories.
Step-by-step explanation:
Type list of beverage sold is a categorical variable because the values of the variable can only be placed into categories.
A categorical variable, also referred to as nominal variable. is a variable which consist of two or more categories, this usually does not involve special ordering of the categories.
16 children : 20 adults
yes
no
Answer:
No
Step-by-step explanation:
If product of mean = product of extreme, then ratios are equivalent.
18 : 12 :: 16:20
Product of mean = 12 * 16 = 192
Product of extreme = 18 * 20 = 360
Not equivalent ratios