Answer:
The last choice availablle
Step-by-step explanation:
The way you can tell the points the function has in common with the x-axis (also known as the solutions, roots, or zeros of the functiion) you have to factor it to solve for x. When you throw this into the quadratic formula you get that there is a negative under the square root sign, which is indicative of imaginary solutions. Imaginary solutions do NOT cross the x-axis. So the answer to your problem is the last choice.
Answer:
y = -2/3x + 5
Step-by-step explanation:
(-3, 7) and (3, 3)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(3 - 7) / (3 -(-3))
Simplify the parentheses.
= (3 - 7) / (3 + 3)
Simplify the fraction.
= (-4) / (6)
= -4/6
= -2/3
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2/3x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (3, 3). Plug in the x and y values into the x and y of the standard equation.
3 = -2/3(3) + b
To find b, multiply the slope and the input of x(3)
3 = -2 + b
Now, add 2 to both sides to isolate b.
5 = b
Plug this into your standard equation.
y = -2/3x + 5
This is your equation.
Check this by plugging in the other point you have not checked yet (-3, 7).
y = -2/3x + 5
7= -2/3(-3) + 5
7 = 2 + 5
7 = 7
Your equation is correct.
Hope this helps!
To find the volume of a sphere, you will use the formula for finding volume of a sphere. You will use the diameter to find the radius. r = d/2, so the radius is 5 in
V = 4/3 x pi x r^3
4/3 x 3.14 x 5^3
V = 523.6 cubic inches
The volume of this sphere is approximately 523.6 cubic inches.
Answer:
A.)
Step-by-step explanation:
I feel like it's A.) because the number sequence above continues to go on due to addition of 6 to each number. And now you are adding 6 to 10n because as stated before your supposed to add 6 to each number to get the answer in the sequence.
Hopefully I helped God bless !
I think the volume of the cone is 65.94yd because the radius is 3 and the height is 7 also 3 to the second power equals 9 then 3.14 multiplied by 9 equals 28.26 and finally 28.26 multiplied by 7/3 equals 65.94
V=3.14 x r^2 h/3
V=3.14 x 3^2 7/3
